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CALIF
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AGrade 5
PRACTICE Workbook
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UNIT 1: WHOLE NUMBERS AND DECIMALS
Chapter 1: Place Value, Addition, and Subtraction1.1 Place Value through Billions .............PW11.2 Compare and Order Whole
Numbers ..............................................PW21.3 Round Whole Numbers .....................PW31.4 Estimate Sums and Differences .........PW41.5 Add and Subtract Whole Numbers ...PW51.6 Mental Math: Addition and
Subtraction .........................................PW61.7 Algebra: Addition and Subtraction
Expressions ..........................................PW71.8 Problem Solving Workshop
Strategy: Find a Pattern .....................PW8
Chapter 2: Place Value: Understand Decimals2.1 Decimal Place Value ...........................PW92.2 Model Thousandths .........................PW102.3 Equivalent Decimals .........................PW112.4 Change to Tenths and
Hundredths .......................................PW122.5 Compare and Order Decimals .........PW132.6 Problem Solving Workshop
Strategy: Draw a Diagram ...............PW14
Chapter 3: Multiply Whole Numbers3.1 Mental Math: Patterns
in Multiples .......................................PW153.2 Estimate Products .............................PW163.3 The Distributive Property ................PW173.4 Multiply by 1-Digit Numbers ...........PW183.5 Multiply by 2-Digit Numbers ...........PW193.6 Practice Multiplication .....................PW203.7 Problem Solving Workshop
Strategy: Predict and Test ................PW21
Chapter 4: Divide by 1- and 2-Digit Divisors4.1 Estimate with 1-Digit Divisors .........PW224.2 Divide by 1-Digit Divisors.................PW234.3 Algebra: Patterns in Division ...........PW244.4 Estimate with 2-Digit Divisors .........PW254.5 Divide by 2-Digit Divisors.................PW264.6 Correcting Quotients .......................PW274.7 Practice Division ...............................PW28
4.8 Problem Solving WorkshopSkill: Interpret the Remainder .........PW29
4.9 Algebra: Multiplication and Division Expressions .........................PW30
UNIT 2: NUMBER THEORY AND FRACTION CONCEPTS
Chapter 5: Number Theory5.1 Prime and Composite Numbers.......PW315.2 Problem Solving Workshop
Strategy: Make an Organized List ..................................PW32
5.3 Introduction to Exponents ..............PW335.4 Exponents and Square Numbers .....PW345.5 Prime Factorization ..........................PW35
Chapter 6: Fraction Concepts6.1 Equivalent Fractions .........................PW366.2 Simplest Form ...................................PW376.3 Understand Mixed Numbers ...........PW386.4 Compare and Order Fractions
and Mixed Numbers .........................PW396.5 Problem Solving Workshop
Strategy: Make a Model ..................PW406.6 Relate Fractions and Decimals.........PW416.7 Use a Number Line ...........................PW42
UNIT 3: FRACTION OPERATIONS
Chapter 7: Add and Subtract Like Fractions7.1 Model Addition and Subtraction ....PW437.2 Add and Subtract Like Fractions .....PW447.3 Add and Subtract Like Mixed
Numbers ............................................PW457.4 Subtraction with Renaming ............PW467.5 Problem Solving Workshop
Strategy: Work Backward ................PW47
Chapter 8: Add and Subtract Unlike Fractions8.1 Model Addition of Unlike
Fractions ............................................PW488.2 Model Subtraction of Unlike
Fractions ............................................PW49
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8.3 Estimate Sums and Differences .......PW508.4 Use Common Denominators ...........PW518.5 Add and Subtract Fractions .............PW528.6 Problem Solving Workshop
Strategy: Compare Strategies ..........PW53
Chapter 9: Add and Subtract Mixed Numbers9.1 Model Addition of Mixed
Numbers ............................................PW549.2 Model Subtraction of Mixed
Numbers ............................................PW559.3 Record Addition and Subtraction ...PW569.4 Subtraction with Renaming ............PW579.5 Problem Solving Workshop
Skill: Sequence Information ............PW58
Chapter 10: Multiply and Divide Fractions10.1 Model Multiplication of Fractions ..PW5910.2 Record Multiplication of Fractions..PW6010.3 Multiply Fractions and
Whole Numbers................................PW6110.4 Multiply with Mixed Numbers ........PW6210.5 Model Fraction Division ...................PW6310.6 Divide Whole Numbers by
Fractions ............................................PW6410.7 Divide Fractions ................................PW6510.8 Problem Solving Workshop
Skill: Multistep Problems .................PW66
UNIT 4: DECIMAL OPERATIONS
Chapter 11: Add and Subtract Decimals11.1 Round Decimals ................................PW6711.2 Add and Subtract Decimals .............PW6811.3 Estimate Sums and Differences .......PW6911.4 Mental Math: Add and Subtract .....PW7011.5 Problem Solving Workshop
Skill: Estimate or Find Exact Answer ..............................................PW71
Chapter 12: Multiply Decimals12.1 Model Multiplication by a Whole
Number .............................................PW7212.2 Algebra: Patterns in Decimal
Factors and Products ........................PW7312.3 Model Multiplication by
a Decimal ..........................................PW7412.4 Estimate Products .............................PW75
12.5 Place the Decimal Point ...................PW7612.6 Zeros in the Products .......................PW7712.7 Problem Solving Workshop
Skill: Choose the Operation.............PW78
Chapter 13: Divide Decimals13.1 Divide Decimals by
Whole Numbers................................PW7913.2 Estimate Quotients...........................PW8013.3 Divide Decimals by
Whole Numbers................................PW8113.4 Divide Decimals by Decimals ...........PW8213.5 Decimal Patterns with
Powers of 10 .....................................PW8313.6 Division of Decimals by Decimals ....PW8413.7 Problem Solving Workshop
Skill: Evaluate Answers for Reasonableness ................................PW85
UNIT 5: ALGEBRA AND PERCENT
Chapter 14: Algebra: Expressions and Equations14.1 Write Expressions .............................PW8614.2 Evaluate Expressions ........................PW8714.3 Write Equations ................................PW8814.4 Solve Equations ................................PW8914.5 Use the Distributive Property ..........PW9014.6 Mental Math: Use the Properties ....PW9114.7 Problem Solving Workshop
Strategy: Write an Equation ............PW92
Chapter 15: Algebra: Integers15.1 Understand Integers ........................PW9315.2 Compare and Order Integers ..........PW9415.3 Model Integer Addition ...................PW9515.4 Record Integer Addition ..................PW9615.5 Model Integer Subtraction ..............PW9715.6 Record Integer Subtraction .............PW9815.7 Problem Solving Workshop
Strategy: Compare Strategies ..........PW99
Chapter 16: Percent16.1 Understand Percent .......................PW10016.2 Fractions, Decimals, and
Percents ...........................................PW10116.3 Use a Number Line .........................PW10216.4 Model Percent of a Number ..........PW10316.5 Percent Problems............................PW104
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16.6 Problem Solving WorkshopStrategy: Make a Graph.................PW105
16.7 Compare Data Sets .........................PW106
UNIT 6: GEOMETRY
Chapter 17: Geometric Figures17.1 Points, Lines, and Angles ...............PW10717.2 Measure and Draw Angles ............PW10817.3 Construct Parallel and
Perpendicular Lines ........................PW10917.4 Polygons ..........................................PW11017.5 Sum of the Angles..........................PW11117.6 Problem Solving Workshop
Skill: Identify Relationships ...........PW11217.7 Circles ..............................................PW11317.8 Construct Polygons.........................PW11417.9 Congruent and Similar Figures......PW115
Chapter 18: Plane and Solid Figures18.1 Triangles ..........................................PW11618.2 Quadrilaterals .................................PW11718.3 Draw Plane Figures ........................PW11818.4 Solid Figures ...................................PW11918.5 Nets for Solid Figures .....................PW12018.6 Problem Solving Workshop
Strategy: Solve a Simpler Problem ...........................................PW121
18.7 Draw Solid Figures from Different Views ..............................PW122
Chapter 19: Geometry and the Coordinate Plane19.1 Algebra: Graph Ordered Pairs .......PW12319.2 Algebra: Graph Relationships .......PW12419.3 Algebra: Graph Integers on the
Coordinate Plane............................PW12519.4 Linear Functions .............................PW12619.5 Write and Graph Equations ...........PW12719.6 Problem Solving Workshop
Skill: Relevant or Irrelevant Information ....................................PW128
UNIT 7: MEASUREMENT
Chapter 20: Measurement and Perimeter20.1 Length .............................................PW129
20.2 Estimate Perimeter .........................PW13020.3 Find Perimeter ................................PW13120.4 Algebra: Perimeter Formulas ........PW13220.5 Algebra: Use Perimeter
Formulas .........................................PW13320.6 Problem Solving Workshop
Skill: Make Generalizations ...........PW134
Chapter 21: Area21.1 Estimate Area .................................PW13521.2 Algebra: Area of Rectangles .........PW13621.3 Algebra: Relate Perimeter
and Area .........................................PW13721.4 Problem Solving Workshop
Strategy: Compare Strategies ........PW13821.5 Model Area of Triangles ................PW13921.6 Algebra: Area of Triangles ............PW14021.7 Algebra: Area of
Parallelograms ................................PW141
Chapter 22: Surface Area and Volume22.1 Surface Area ...................................PW14222.2 Estimate Volume ............................PW14322.3 Algebra: Find Volume ....................PW14422.4 Relate Perimeter, Area,
and Volume ....................................PW14522.5 Problem Solving Workshop
Strategy: Write an Equation ..........PW146
UNIT 8: DATA AND GRAPHS
Chapter 23: Analyze Data23.1 Collect and Organize Data ............PW14723.2 Find the Mean ................................PW14823.3 Find the Median and Mode ..........PW14923.4 Compare Data ................................PW15023.5 Analyze Graphs ..............................PW15123.6 Problem Solving Workshop
Strategy: Use Logical Reasoning .......................................PW152
Chapter 24: Display and Interpret Data24.1 Make Histograms ...........................PW15324.2 Make Stem-and-Leaf Plots .............PW15424.3 Make Line Graphs ..........................PW15524.4 Problem Solving Workshop Skill: Draw Conclusions ..................PW15624.5 Choose the Appropriate Graph.....PW157
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Spiral Review Week 1 ..........................................................SR1Week 2 .........................................................SR2Week 3 .........................................................SR3Week 4 ..........................................................SR4Week 5 ..........................................................SR5Week 6 ..........................................................SR6Week 7 ..........................................................SR7Week 8 ..........................................................SR8Week 9 ..........................................................SR9Week 10 ......................................................SR10Week 11 ......................................................SR11Week 12 ......................................................SR12Week 13 ......................................................SR13Week 14 ......................................................SR14Week 15 ......................................................SR15Week 16 ......................................................SR16Week 17 ......................................................SR17Week 18 ......................................................SR18Week 19 ......................................................SR19Week 20 ......................................................SR20Week 21 ......................................................SR21Week 22 ......................................................SR22Week 23 ......................................................SR23Week 24 ......................................................SR24Week 25 ......................................................SR25Week 26 ......................................................SR26Week 27 ......................................................SR27Week 28 ......................................................SR28Week 29 ......................................................SR29Week 30 ......................................................SR30Week 31 ......................................................SR31Week 32 ......................................................SR32Week 33 ......................................................SR33Week 34 ......................................................SR34Week 35 ......................................................SR35Week 36 ......................................................SR36
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Place Value Through BillionsWrite the value of the underlined digit.
1. 189,221,612,357 2. 512,801,297,934 3. 25,908,167,238
4. 281,354,678,128 5. 628,901,638,189 6. 72,559,334,105
7. 831,225,705 8. 132,465,521,983 9. 256,687,245,371
Write each number in two other forms.
10. 50,000,000,000 � 70,000,000 � 8,000,000 � 300,000 � 8,000 � 200 � 5
11. seventy billion, two hundred seventeen million, five hundred thirty-one
What number makes the number sentence true?
12. 500,000 � 50 � 13. 2,000,000,000 � 200 �
Problem Solving and Test Prep 14. Algebra How many dimes equal the
same total amount as 1,000,000,000 pennies?
16. What is the value of the underlined digit in 729,340,233?
A 20,000 C 2,000,000
B 200,000 D 20,000,000
15. During a year-long penny drive, a volunteer group collected 10,000,000 pennies. How many stacks of 100 pennies could they make with all of their pennies?
17. In 538,479,247,061, which digit is in the ten billions place?
A 0 C 3
B 2 D 5
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PW1 Practice
Name Lesson 1.1
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Compare and Order Whole NumbersCompare. Write �, �, or � for each .
1. 6,574 6,547 2. 270,908 270,908 3. 8,306,722 8,360,272
4. 3,541,320 3,541,230 5. 670,980 680,790 6. 12,453,671 12,543,671
Order from least to greatest.
7. 1,345,919; 1,299,184; 1,134,845 8. 417,689,200; 417,698,200; 417,698,100
Order from greatest to least.
9. 63,574; 63,547; 63,745 10. 5,807,334; 5,708,434; 5,807,433
Find the missing digit to make each statement true.
11. 13,625 � 13,6 7 � 13,630 12. 529,781 � 529,78 � 529,778
Problem Solving and Test Prep 13. Use Data What state quarter was
minted in the greatest number in 2005?
14. Use Data Order the number of quarters minted for California, Minnesota, and Oregon from least to greatest.
State Quarters Minted in 2005
California 520,400,000
Minnesota 488,000,000
Oregon 720,200,000
Kansas 563,400,000
West Virginia 721,600,000
15. Which number is less than 61,534?
A 61,354
B 61,543
C 63,154
D 63,145
16. Which list shows the numbers in order from greatest to least?
A 722,319; 722,913; 722,139
B 722,139; 722,319; 722,913
C 722,913; 722,139; 722,319
D 722,913; 722,319; 722,139
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Name Lesson 1.2
PracticePW2
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Round Whole NumbersRound each number to the place of the underlined digit.
1. 325,689,029 2. 45,673 3. 91,341,281 4. 621,732,193
5. 8,067 6. 42,991,335 7. 182,351,413 8. 539,605,281
9. 999,887,423 10. 76,805,439 11. 518,812,051 12. 657,388,369
Name the place to which each number was rounded.
13. 25,398 to 30,000 14. 828,828 to 830,000 15. 7,234,851 to 7,234,900
16. 612,623 to 600,000 17. 435,299 to 435,000 18. 8,523,194 to 9,000,000
Round 34,251,622 to the place named.
19. millions 20. hundred thousands 21. thousands
Problem Solving and Test Prep22. Fast Fact Wrigley Field in Chicago,
Illinois, has a seating capacity of 41,118 people. In a newspaper article, that number is rounded to the nearest ten thousand. What number is written in the newspaper article?
24. Which number rounded to the nearest million is not 45,000,000?
A 43,267,944
B 44,968,722
C 45,322,860
D 44,762,904
23. Reasoning The number of seats in Shea Stadium can be rounded to 56,000 when rounded to the nearest thousand. What could be the exact number of seats in Shea Stadium?
25. Which shows 42,167,587 rounded to the nearest million?
A 40,000,000
B 41,000,000
C 42,000,000
D 43,000,000
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PW3 Practice
Name Lesson 1.3
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Estimate Sums and DifferencesEstimate by rounding.
1. 308,222 � 196,231
__
2. 925,461 � 173,509
__
3. 19,346 � 25,912
__
4. 125,689 � 236,817
__
5. 471,282 � 161,391
__
6. 123,636 � 78,239
__
7. 48,385 � 54,291
__
8. $4,471 � 1,625
__
9. 69,371 � 73,253
__
10. 224,119 � 79,388
__
11. 4,469,235 � 2,328,882 12. 93,215 � 41,284 13. $246,119 � $395,228
14. 305,284 � 2,865,109 15. $342,199 � $63,128 16. 78,244 � 23,681
Find a range to estimate each sum.
17. 388 � 192 � 741 18. 6,283 � 5,591 19. 5,481,627 � 2,819,305
20. 7,281 � 1,530 21. 945 � 319 22. 2,187 � 3,418 � 6,433
Problem Solving and Test Prep 23. Riverside County in California has a
population of 1,946,419 people. Contra Costa County has a population of 1,017,787 people. About how many more people live in Riverside County and Contra Costa County?
24. The two counties with the least populations in California are Sierra County with a population of 3,434 people and Alpine County with a population of 1,159 people. About what is the total population of these two counties?
25. During one week, 419,315 subway passes were sold. During the next week, 452,219 subway passes were sold. About how many subway passes were sold in those two weeks?
A 700,000 C 900,000
B 800,000 D 1,000,000
26. Use rounding to estimate.
579,118 � 194,417
__
A 500,000 C 300,000
B 400,000 D 200,000
PW4 Practice
Name Lesson 1.4
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Add and Subtract Whole NumbersEstimate. Then find the sum or difference.
1. 6,292 � 7,318
__
2. 28,434 � 49,617
__
3. 205,756 � 201,765
__
4. 529,852 � 476,196
__
5. 5,071,154 � 483,913
__
6. 241,933 � 51,209
__
7. 75,249 � 41,326
__
8. 1,202,365 � 278,495
__
9. 4,092,125 2,748,810 � 6,421,339
___
10. 4,687,184
� 1,234,562
___
11. 542,002 � 319,428
__
12. 360,219 � 815,364
__
13. 32,109 � 6,234 � 4,827 14. 3,709,245 � 1,569,267 15. 200,408 � 64,159
Algebra Find each missing value.
16. � � 1,982 � 8,754 17. 70,380 � � � 43,287 18. � � 262,305 � 891,411
Problem Solving and Test Prep 19. Use Data How many more square
miles of surface area does Lake Michigan have than Lake Ontario?
20. Use Data What is the total surface area of the two lakes with the greatest water surface area?
Great Lakes Facts
Lake Water Surface Area(in sq mi)
Superior 31,700
Michigan 22,300
Ontario 7,340
Erie 9,910
Huron 23,000
21. 328,954 � 683,681 �
A 901,535
B 1,001,535
C 1,012,635
D 1,012,645
22. Over the first weekend in July, the movie theater sold 78,234 tickets. Over the second weekend, the movie theater sold 62,784 tickets. How many more tickets were sold over the first weekend than the second weekend in July?
PW5 Practice
Name Lesson 1.5
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Mental Math: Addition and SubtractionUse mental math strategies to find the sum or difference.
1. 31 � 15 2. 84 � 16 3. 879 � 623 4. 512 � 38
5. 557 � 543 6. 711 � 829 7. 614 � 126 8. (121 � 355) � 5
9. 47 � 71 � 23 10. 85 � 21 � 15 11. 489 � 461 12. 194 � 77
13. (45 � 78) � 55 14. 13 � (12 � 17) 15. 926 � 333 16. 63 � 19
17. 48 � 29 � 52 18. 728 � 523 19. 671 � 329 20. 96 � 28
21. (8 � 53) � 22 22. 339 � 227 23. 807 � 105 � 23 24. 27 � (19 � 33)
25. 218 � (172 � 24) 26. 204 � 318 � 86 27. 553 � 328 28. 524 � 300 � 56
Problem Solving and Test Prep 29. Use mental math to find the total
number of contestants registered.
30. How many more contestants registered for Deerfield than in Sycamore?
31. Name the addition property used. 35 � (65 � 28) � (35 � 65) � 28
A Associative C Order
B Commutative D Identity
City Skateboard Contestants
District Registered Contestants
Sycamore 38
Deerfi eld 55
Blue Ash 32
Kenwood 52
32. Name the addition property used. (62 � 19) � 12 � (19 � 62) � 12
A Associative C Order
B Commutative D Identity
PW6 Practice
Name Lesson 1.6
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13. The coaster, Roaring Tiger, runs for 210 seconds. The coaster, Space Frontier, runs for 54 seconds less. Write an expression to show how long Space
Frontier runs.
15. Tia had 48 CDs. Then she traded 12 CDs for 8 new ones. Which shows the number of CDs Tia has now?
A 48 � 12 � 8
B 48 � 12 � 8
C 48 � 12 � 8
D 48 � 12 � 8
14. Algebra Lacey drove 206 miles on Thursday, 161 miles on Friday, and more miles on Saturday. Write an expression for how far she traveled on all three days.
16. Which shows a way to write the expression 20 � y in words?
A twenty less than a number
B twenty more than a number
C twenty decreased by a number
D twenty increased by a number
1. Velma sent out 12 invitations. Then she sent out 4 more.
4. Sixty increased by sixteen.
2. The temperature was 92ºF in the morning and dropped 21º by evening.
5. Seventy-five decreased by 9.
3. Nine people stood in line. Three left and then five more joined the line.
6. The sum of 19 and 36 minus 47.
7. Vic is 63 inches tall. Kim is a few inches taller.
10. 79 increased bysome number.
8. Cal deposited $108 and then withdrew some.
11. 298 decreased by some number.
9. Amy deposited some money and withdrew $4.
12. Some number added to 33.
Algebra: ExpressionsWrite a numerical expression. Then find the value.
Tell what the value represents.
Problem Solving and Test Prep
Write an algebraic expression.
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PracticePW7
Name Lesson 1.7
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1. Anna paid $515 monthly rent the first year, $540 monthly rent the second year, $565 monthly rent the third year, and $590 monthly rent the fourth year. If this pattern continues, how much monthly rent will Anna pay in the sixth year?
3. What are the next three numbers in the pattern?
1, 121, 12321, 1234321, . . .
2. On the Coastal Trail, hikers walked 28 miles on Monday, 27 miles on Tuesday, 25 miles on Wednesday, and 22 miles on Thursday. How many miles did the hikers walk on Sunday?
4. A certain redwood tree was 175 ft tall in 2000, 179 ft in 2001, 183 ft in 2002, and 187 ft in 2003. If the pattern continues, how tall will the tree be in 2010?
Problem Solving Workshop Strategy: Find a PatternProblem Solving Skill PracticeFind a pattern to solve the problem.
Mixed ApplicationFor 5–6, use the table.
5. Use Data Predict the membership of the Friendship Club for the year 2010.
6. Use Data In 2006, the membership was twice what it was in 2002. What was the membership in 2006?
7. The tallest known redwood tree in Redwood National Park was 372 feet tall before it fell in 1991. Yosemite Falls is a little more than 6.5 times taller than that. About how tall is Yosemite Falls?
Friendship Club Membership
Year Membership
2000 6
2001 12
2002 18
2003 24
2004 30
8. Jana spent $182 on a winter coat, $19 on a hat, $8 on a scarf, $6 on gloves, and $21 on boots. How much did Jana spend on her winter apparel?
Practice PW8
Name Lesson 1.8
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Decimal Place ValueWrite the value of the underlined digit.
1. 8.13
2. 0.26
3. 9.47
4. 5.36
5. 0.92
6. 0.87
7. 12.08
8. 0.81
9. 1.45
10. 13.94
Write each number in two other forms.
11. 5.09
12. 0.84
13. 6 � 0.2 � 0.05
14. 20 � 0.04
15. thirty-two and fifty-seven hundredths
ALGEBRA Find the missing value(s).
16. 0.38 � (3 � 0.1) � ( � ) 17. 0.92 � ( � ) � (2 � 0.01)
Problem Solving and Test Prep 18. Ronald Reagan served as President
of the United States for eight years. He was 1.85 meters tall. Write President Reagan’s height in expanded form.
19. President Richard Nixon was the first President to resign from office. He was 73.5 inches tall. Write the height of President Nixon in word form.
20. George Washington and Richard Nixon were both one and eighty-seven hundredths meters tall. Write the number one and eighty-seven hundredths in standard form.
21. James Madison was 1.63 meters tall. Which shows the expanded form of 1.63?
A 100 � 60 � 3
B 10 � 6 � 0.3
C 1 � 0.6 � 0.03
D 1 � 0.63
Name Lesson 1.1
PracticePW9
Name Lesson 2.1
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Model ThousandthsWrite the decimal shown by the shaded part.
1.
2.
3.
4.
Write the value of the underlined digit.
5. 0.725
6. 0.018
7. 4.093
8. 6.007
9. 1.072
10. 0.896
11. 0.831
12. 2.471
13. 3.719
14. 9.103
Write each number in two other forms.
15. fifty-four thousandths
16. 0.736
17. 5 � 0.7 � 0.02 � 0.006
18. 3 � 0.2 � 0.009
19. 7.081
20. four and six thousandths
Name Lesson 2.2
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PracticePW10
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Equivalent DecimalsWrite equivalent or not equivalent to describe each pair of decimals.
1. 2.26 and 2.260
2. 8.05 and 8.50
3. 7.08 and 7.008 4. 9 and 9.00
Write an equivalent decimal for each number.
5. 0.9
6. 1.800
7. 3.02 8. 8.640
9. 0.04
10. 45.100
11. 4.60 12. 2.70
Write the two decimals that are equivalent.
13. 3.007
3.700
3.70
14. 0.930
0.093
0.93
15. 7.60
7.06
7.600
16. 3.05
3.050
3.500
Problem Solving and Test Prep17. Fast Facts The calliope hummingbird
is the smallest bird in North America. It weighs about 2.5 grams and builds a nest about the size of a quarter. Write an equivalent decimal for 2.5.
18. The calliope hummingbird is about 0.07 meter long, yet it can fly from northern North America to Mexico for the winter. Write an equivalent decimal for the length of a calliope hummingbird.
19. The calliope hummingbird lives in the mountains. It has been seen as high as 335.23 meters above sea level. Write an equivalent decimal for 335.23.
20. A banded calliope hummingbird was seen in Idaho and also in Virginia. It had flown more than 2,440.95 miles. Which decimal is equivalent to 2,440.95?
A 2,440.095 C 2,440.950
B 2,400.905 D 2,440.955
Name Lesson 2.3
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PracticePW11 Practice
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Change to Tenths and Hundredths Write each decimal as a fraction or mixed number with tenths and hundredths.
1. 1.6
2. 0.4
3. 2.30
4. 3.8
5. 0.30
6. 0.9
7. 4.5 8. 12.70
9. 5.3
10. 0.60
11. 6.2
12. 0.10
13. 11.8
14. 9.20
15. 0.8
Complete.
16. 3.50 � 3 ____ 100
17. 2.57 � 2 ____ 100
18. 1.75 � 1 ____ 100
19. 1.4 � 1 4 ___ 10
� 1 ____ 100
20. 5.6 � 5 6 ___ 10
� 5 ____ 100
21. 1.84 � 1 ____ 100
Problem Solving and Test Prep
22. The Little Jamison Creek Trail in Plumas County, CA, is 3.8 miles long. What is the trail length written as a mixed number?
23. The Lake Almanor Recreation Trail in Plumas County, CA, is 9.75 miles long. What is the trail length written as a mixed number?
24. Which shows 3.40 as a mixed number?
A 4 3 ___ 10
B 3 4 ____ 100
C 3 40 ___ 10
D 3 40 ____ 100
25. Which shows 0.6 as a fraction?
A 6 ___ 10
B 6 ____ 100
C 60 ___ 10
D 62 ____ 100
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PW12 Practice
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Compare and Order DecimalsCompare. Write <, >, or = for each .
1. 0.37 0.370 2. 3.10 3.101 3. 0.579 0.576 4. 7.7 7.690
5. 0.812 0.821 6. 9.810 9.809 7. 0.955 0.95 8. 3.22 3.218
9. 5.202 5.220 10. 0.78 0.780 11. 4.17 4.017 12. 0.897 0.987
Order from least to greatest.
13. 0.301, 0.13, 0.139, 0.5
14. 7.203, 7.032, 7, 7.2
15. 0.761, 0.67, 0.776, 0.7
16. 0.987, 0.978, 0.97, 0.98
Problem Solving and Test PrepUSE DATA For 17–18, use the table.
17. Which beetle has the shortest length? the longest length?
Sizes of BeetlesBeetle Size (in cm)
Japanese Beetle 1.295
June Bug 2.518
Firefl y 1.063
18. Another type of beetle is 1.281 cm long. Which beetle has a length less than 1.281 cm?
19. Some types of beetles can jump ashigh as 15 cm. Suppose three beetles jumped 14.03 cm, 14.029 cm, and 14.031 cm. What is the order of the heights the beetles jumped from least to greatest?
20. A Japanese Beetle grub may hibernate 29.301 cm underground. Between which two numbers is 29.301?
A 29.103 and 29.300
B 29.21 and 29.3
C 29.3 and 29.31
D 29.31 and 29.32
Name Lesson 2.5
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PracticePW13
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PW14
1. Juan’s family drives to a new location to visit each morning of their vacation. On Monday they travel 23.91 kilometers; on Tuesday they travel 23.67 kilometers; and on Wednesday they travel 24.09 kilometers. On which day did Juan’s family travel the least number of kilometers?
2. Tyrone rides his bike four days in a row. On Monday he rides 11.87 miles; on Tuesday he rides 11.93 miles; on Wednesday he rides 12.12 miles; and on Thursday he rides 12.05 miles. On which day did Tyrone ride the greatest distance?
Mixed Strategy PracticeUSE DATA For 3–4, use the information on the map.
3. Three friends are traveling. Mike is going from San Clemente to Laguna Beach. Ted is going from Costa Mesa to Laguna Beach. Pete is going from Huntington Beach to Santa Ana. Who travels the greatest distance?
4. Mr. Wilson travels round trip from Oceanside to San Clemente. About how many miles does Mr. Wilson travel?
Problem Solving Workshop Strategy: Draw a DiagramProblem Solving Skill PracticeDraw a diagram to solve.
16.4 m
16.9 m
13.8 m
9.8 m
HuntingtonBeach
Laguna Beach
San Clemente
21.9 m
OceansideGulf of Santa
CatalinaSan Marcos
Vista
Fallbrook
Costa Mesa
ORANGE
LakelandVillage
Perris
Lake Elsin
WildomaMurrleta
IrvineSanta Ana
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Name Lesson 2.6
Practice
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Mental Math: Patterns in MultiplesFind the product.
1. 9 � 300
2. 3 � 100
3. 60 � 5
4. 5 � 7,000
5. 10 � 4,000
6. 700 � 200
7. 20 � 9,000
8. 1,000 � 10
9. 5,000 � 30
10. 6,000 � 80
11. 40 � 9,000
12. 7 � 200
13. 600 � 60
14. 100 � 600
15. 200 � 500
ALGEBRA Find the missing number.
16. 700 � 5,000 � 17. � 10 � 90,000 18. 600 � � 1,200
19. � 100 � 35,000 20. 300 � 5,000 � 21. 400 � � 40,000
22. 50 � 200 23. 40 � � 200,000 24. � 80 � 400,000
Problem Solving and Test Prep
25. One colony of macaroni penguins has about 8,000 nests. If three penguins occupy each nest, how many penguins are there in all?
26. Each pair of macaroni penguins lays 2 eggs. How many eggs do 12,000,000 pairs of penguins lay?
27. Tickets to a baseball game cost $90 each. How much money will be made in ticket sales if 5,000 tickets are sold?
A $45,000
B $450,000
C $4,500,000
D $45,000,000
28. A sedan at a car dealership sells for $20,000. How much money will 200 of them bring in?
A $40,000
B $400,000
C $4,000,000
D $40,000,000
Name Lesson 3.1
PW15 Practice
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Estimate ProductsEstimate the product.
1. 65 � 22
2. 18 � $34
3. 738 � 59 4. 195 � 23
5. 8,130 � 77
6. 91 � 49
7. 641 � 31
8. 555� 470 9. 4,096 � 12
10. 42 � 1,912
11. 199 � 249
12. 467 � 124
13. 88 � 27
14. 4 � 96,725
15. 6,371 � 52
16. 33 � 180
17. 894 � 605
18. 5,720 � 79
19. 54 � 419
.
20. 76 � 5,118
Problem Solving and Test Prep 21. The Municipal Park Committee has
budgeted $500 for 32 Japanese red maple trees for Green Park. Estimate to find whether this is enough to buy the trees.
Green Park ExpensesTree Cost
Silver Maple $11
Red Maple $9
Japanese Red Maple $18
22. The park committee also wants to purchase 24 silver maples. Estimate to find whether $300 is enough to purchase them.
23. Which would give the best estimate for 48 � 54,090?
A 40 � 50,000
B 40 � 60,000
C 50 � 50,000
D 50 � 60,000
24. Which would give the best estimate for 108 � 276?
A 100 � 200
B 100 � 300
C 200 � 200
D 200 � 300
Name Lesson 3.2
PW16 Practice
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The Distributive PropertyDraw a model to find the product using the distributive property.
1.
8 � 13 �
2.
9 � 16 �
3.
11 � 15 �
4.
12 � 17 �
Use the Distributive Property to find the product. Show your work.
5. 8 � 83
6. 12 � 9
7. 5 � 39
8. 58 � 6
9. 24 � 7
10. 47 � 8
11. 74 � 8
12. 92 � 11
Name Lesson 3.3
PW17 Practice
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PracticePW18
Multiply by 1-Digit NumbersEstimate. Then find the product.
1. 48 � 2
2. 317 � 9
3. 105 � 3
4. 477 � 7
5. 729 � 8
6. 6 � 802
7. 4 � 426
8. 339 � 5
9. 3,045 � 4
10. 9 � 1,218
11. 5,331 � 2
12. 61,372 � 8
13. 47 � 6
14. 26 � 6
15. 207 � 3
16. 783 � 9
17. 428 � 5
18. 339 � 7
19. 518 � 5
20. 2,309 � 8
21. 8,014 � 3
22. 9,237 � 6
Problem Solving and Test Prep
23. How much would it cost a family of6 to fly roundtrip from Chicago to Vancouver?
Round Trip Airfares from Chicago, ILDestination Cost in Dollars
Honolulu, HI $619
London, England $548
Vancouver, WA $282 24. How much more does it cost 2 people to
fly roundtrip from Chicago to Honolulu than to fly from Chicago to London?
25. Which expression has the same valueas 8 � (800 � 70 � 3)?
A 8 � (800,703)
B 64 � 56 � 24
C 6400 � 70 � 3
D 6400 � 560 � 24
26. New windows cost $425 each. What is the total cost for 9 windows?
A $3,725
B $3,825
C $4,725
D $4,825
Name Lesson 3.4
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PW19 Practice
Multiply by 2-Digit NumbersEstimate. Then find the product.
1. 342 � 28
2. 451 � 61
3. 709 � 53
4. 622 � 34
5. 970 � 17
6. $229 � 77
7. 907 � 83
8. 1,345 � 23
9. 172 � 91
10. 4,029 � 67
11. 219 � 84
12. 727 � 33
13. $1,948 � 58
14. 1,220 � 42
15. 893 � 12
ALGEBRA Find the missing digit. Explain your solution.
16. 45 � 47 � 21,432
17. 149 � 9 � 14,006
18. 52 � 36 � 19,008
Problem Solving and Test Prep19. Abby wants to cycle 25 miles each
day for one full year, or 365 days. How many miles is Abby planning to cycle in all?
20. Randi participated in a Bike-a-Thon. Twenty-three family members donated $12 for each mile she rode. If she rode 38 miles, how much did she collect?
21. How much does a store make if it sells 37 computers at $1,436 each?
A $44,152
B $53,062
C $53,132
D $53,852
22. What is the total amount Mr. Sei will pay for a car if he makes car payments of $502 per month for 54 months?
A $27,108
B $26,108
C $25,018
D $25,108
Name Lesson 3.5
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PW20 Practice
Practice MultiplicationEstimate. Then find the product.
1. 617 � 5
_
2. 407 � 6
_
3. 926 � 9
_
4. 1,093 � 4
__
5. 3,528 � 7
__
6. 782 � 3
7. 913 � 7
8. 205 � 4
9. 5 � 839
10. 970 � 6
11. 89 � 306
12. 1,914 � 93
13. 26 � 3,391
14. 56 � 224
15. 4,106 � 23
16. 19 � 58,728
17. 36,019 � 44
Problem Solving and Test Prep
18. A zoo is transporting 4 male African bush elephants to another zoo. How much weight are they transporting altogether?
19. How much more do 6 male elephants weigh than 6 female elephants?
20. A theme park sells one-day family passes for $98. How much did 687 families pay for passes in one day?
A $66,226
B $66,326
C $67,226
D $67,326
21. Admission to a zoo is $17 per car. How much money did the zoo receive from 2,631 cars in one week?
A $40,527
B $40,737
C $44,727
D $47,054
African Bush Elephant WeightsGender Approximate weight
male 7,200 kg
female 3,400 kg
Name Lesson 3.6
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Problem Solving Workshop Skill: Predict and TestProblem Solving Skill PracticeDraw a conclusion to solve the problem.
1. At camp, Blake is learning to ride horses and make pottery. Horseback riding lessons cost $22 per hour. Pottery lessons cost $9 per hour. Blake has spent $151 on lessons so far. How many of each type of lesson has he had?
2. Andrella is taking fencing and skiing lessons at winter camp. Fencing lessons are $14 per lesson. Skiing lessons are $19 per lesson. Andrella has spent $207 on lessons so far. How many of each type of lesson has she had?
3. A test has 25 problems on it. For every correct answer, 4 points are given. For each incorrect answer, 1 point is subtracted. Darlene scored 80 points. How many problems did she miss?
4. Acting lessons are $25 each. Singing lessons are $22 each. Dorian expects it to cost $488. How many of each type of lesson is he planning to take?
Mixed ApplicationsFor 5–6, use the information in the table.
5. Use Data Conner spent $102 for six days at Winter Camp. This includes the $30 application fee. He did the same activity each day. Which activity was it?
6. Use Data Kelly did a different combination of activities at winter camp on Thursday and Friday. She did three different activities each day. She paid $34 on Thursday and $31 on Friday. What activities did Kelly do each day?
7. Charlotte spent $68 on three swimming lessons and four archery lessons. The swimming lessons cost $8 each. How much did each archery lesson cost?
Winter Camp ActivitiesActivity Cost Per Day
Pottery $15
Fencing $12
Basketball $10
Folk Dancing $9
Name Lesson 3.7
PW21 Practice
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Name Lesson 4.1
PracticePW22
Estimate with 1-Digit DivisorsEstimate the quotient.
1. 2 � � 624
2. 6 � � 534
3. 7 � � 2,429
4. 8 � � 3,008
5. 1,734 � 6
6. 224 � 7
7. 328 � 4
8. 2,331 � 9
9. 2,892 � 6
10. 4,168 � 8
11. 541 � 7
12. 263 � 5
Problem Solving and Test Prep13. A shipment of motorcycles weighs
2,776 pounds. The shipment included 8 identical motorcycles. About how much did each motorcycle weigh?
14. Another shipment of motorcycles weighs 2,079 pounds. This shipment included 7 mountain bikes. About how much did each mountain bike weigh?
15. Mr. Jones drove 571 miles in 4 days. If Mr. Jones drove the same number of miles each day, estimate the number of miles Mr. Jones drove on the first day.
A 162 mi
B 140 mi
C 115 mi
D 96 mi
16. John traveled 885 miles in 3 days. If he traveled the same number of miles each day, estimate how far John drove on the first day.
A 190 mi
B 268 mi
C 300 mi
D 250 mi
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Divide by 1-Digit DivisorsName the position of the first digit of the quotient. Then find the first digit.
1. 4 � � 348
2. 7 � � 952
3. 5 � � 715
4. 6 � � 414
5. 3 � � 837
6. 8 � � 3,672
7. 7 � � 8,043
8. 9 � � 5,342
Divide. Check by multiplying.
9.
2 � � 712
10.
5 � � 810
11.
7 � � 662
12.
4 � � 3,051
13. 984 � 6
14. 258 � 3
15. 754 � 9
16. 5,767 � 7
Problem Solving and Test Prep 17. 185 students are going to a museum.
Each van can hold 9 students. How many full vans are needed? How many students are riding in the van that is not full?
.
18. There are 185 students at the museum. Each adult has 8 students in their group. How many adults will have a full group? How many students will not be in an 8-student group?
19. One case can hold 9 boxes of cereal. How many cases are needed to hold 144 boxes of cereal?
A 1,296
B 16
C 17
D 9
20. A fifth-grade class made 436 cookies. The class put 6 cookies in each bag. How many cookies remained?
A 724
B 2,616
C 4
D 72
Practice
Name Lesson 4.2
PW23
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Algebra: Patterns in DivisionUse basic facts and patterns to find the quotient.
1. 60 � 10
2. 140 � 7
3. $180 � 90
4. 480 � 6
5. 400 � 50
6. 160 � 40
7. 360 � 6
8. 560 � 80
9. 2,400 � 3
10. $2,000 � 10
11. 6,300 � 70
12. 4,200 � 60
13. 81,000 � 90
14. 80,000 � 2
15. 90,000 � 30
16. $35,000 � 50
Compare. Use <, >, or = for each .
17. 350 � 7 3,500 � 70 18. 240 � 8 24 � 8 19. 360 � 40 360 � 4
Problem Solving and Test Prep
20. A warehouse stored 10 crates of paper. The paper weighed a total of 7,000 pounds. How much did one crate of paper weigh?
21. An office bought 8 office chairs for a total of $720. Each chair came with a $15 mail-in rebate. After the rebate, how much money did each chair cost?
22. A clothing store spends $4,500 on 9 clothing racks. How much does each clothing rack cost?
A $90
B $500
C $540
D $50
23. A business man spends $6,400 on 8 projectors for his company. How much does each projector cost?
A $80
B $800
C $640
D $8
PW24
Name Lesson 4.3
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Practice
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Name Lesson 4.4
PracticePW25
Estimate with 2-Digit DivisorsWrite two pairs of compatible numbers for each.
Then give two possible estimates.
1. 38 � � 329 2. 54 � � 386 3. 75 � � $384
4. 425 � 88
5. 5,234 � 91
6. $1,761 � 26
Estimate the quotient.
7. 24 � � 157
8. 31 � � $289
9. 72 � � 6,102
10. 181 � 35
11. 4,913 � 62
12. 55,208 � 87
Problem Solving and Test Prep 13. The distance from the bottom of the first
floor of an office building to the top of the 86th floor is 353 meters. About how many meters tall is each floor?
14. Maria ran one mile in 8 minutes after school. Joshua ran one mile in 540 seconds after school. Who ran the mile in less time?
15. Joe built a tower out of blocks. It was
475 centimeters tall. The height of each cube was 18 centimeters. About how many cubes did Joe use?
A 10
B 24
C 18
D 48
16. Heather spent 480 minutes practicing basketball last month. How many hours did Heather spend practicing basketball last month?
A 60
B 4
C 10
D 8
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Name Lesson 4.5
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PracticePW26
Divide by 2-Digit DivisorsDivide. Check your answer.
1.
23 � � 713
2.
42 � � 798
3.
64 � � 832
4.
18 � � 1,296
5.
56 � � 792
6.
36 � � 879
7.
26 � � 936
8.
87 � � 4,120
9. 785 � 34
10. 980 � 51
11. 1,939 � 74
12. 2,738 � 65
Problem Solving and Test Prep
13. The average person eats 53 pounds of bread each year. How many years would it take for the average person to eat 689 pounds of bread?
14. The average person in the U.S. uses 47 gallons of water each day. How many days would it take for the average U.S. person to use 846 gallons of water?
15. The school auditorium has 756 seats arranged in 27 equal rows. How many seats are in each row?
A 27
B 28
C 29
D 30
16. A farmer planted a total of 768 corn seeds in 24 equal rows. How many corn seeds are there in each row?
A 28
B 30
C 32
D 34
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Correcting QuotientsWrite low, high, or just right for each estimate.
1. 20 34 � � 884
2. 70 18 � � 1,224
3. 20 38 � � 798
4. 30 24 � � 624
5. 40 67 � � 3,417
Divide.
6.
18 � � 972
7.
27 � � 259
8.
32 � � 6,730
9.
63 � � 234
10.
79 � � 5,688
11. 2,312 � 49
12. 734 � 56
13. 1,634 � 86
14. 6,324 � 62
15. 846 � 94
Problem Solving and Test Prep
16. Robin needs to buy 250 coasters for a graduation party. Each package contains 18 coasters. How many packages should Robin buy?
17. A store orders 832 ounces of floor cleaner. Each bottle is 32 ounces and costs $3. How much does the store spend on the order?
18. The Comfortable Shoe Company can fit 16 boxes of shoes in a crate. How many crates will the company need to pack 576 boxes of shoes?
A 36
B 40
C 35
D 30
19. A Disc Jockey has a collection of 816 CDs. The CD case that he likes holds 24 CDs. How many cases will the Disc Jockey need to hold all his CDs?
A 43
B 30
C 34
D 40
Practice
Name Lesson 4.6
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PW27
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Practice DivisionDivide. Multiply to check your answer.
1.
7 � � 2,492 2.
6 � � 2,564 3.
8 � � 4,563 4.
21 � � 1,344
5.
25 � � 15,450 6.
13 � � 16,128 7.
36 � � 257,847 8.
40 � � 1,840,000
9. 8,788 � 4
10. 18,958 � 9
11. 42,140 � 7
12. 75,769 � 12
Problem Solving and Test Prep
13. Julia can make a paper crane in 8 minutes. She spent 992 minutes making paper cranes for a party. How many paper cranes did Julia make?
14. Nathan spent 826 minutes making paper origami boxes. He can make a paper box in 7 minutes. How many origami boxes did Nathan make?
15. Sean has 6 piles of pennies. Each pile has 37 pennies. How many pennies does Sean have?
16. A school cafeteria used 232 pieces of bread yesterday equaling 8 full loaves. How many pieces of bread are in one loaf?
A 26
B 27
C 28
D 29
Name Lesson 4.7
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PracticePracticePW28
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Problem Solving Workshop Skill: Interpret the RemainderTell how you would interpret the remainder. Then give the answer.
1. A total of 110 fifth graders are going on a field trip to a planetarium. Vans will be used for transportation. Each van holds 8 students. How many vans will be needed for the trip?
2. The Smith family is planning a hiking trip in the mountains. The Smiths want to hike 9 miles each day. How many days will it take for the Smith family to hike 114 miles? How many miles will they hike on the last day?
Mixed ApplicationsUse Data for 3–4, use the table.
3. Sean biked through the Appalachian Mountains on his vacation. He rode his bike for 9 miles each day until he finished his trip. How many miles did Sean bike on his last day?
4. If all bikers rode for 9 miles each day, who had to bike the least on the last day to finish their trip?
5. Jennifer has taken 7 tests this year. Her test scores are 87, 96, 91, 89, 95, 89, and 97. What is Jennifer’s average for these tests?
6. Kyle has a collection of 547 stamps. Each page of his stamp book can hold 24 stamps. How many pages will Kyle use in his stamp book?
Miles Biked on Vacation
Biker Miles
Jean 114
Sean 124
Bianca 137
Curtis 109
Name Lesson 4.8
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PracticePracticePW29
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Algebra: Multiplication and Division ExpressionsWrite an algebraic expression for each phrase.
1. x less than 5
2. y divided into 7 equal groups
3. 4 groups of n objects
Evaluate each expression if a = 8 and c = 33.
4. a � 158
5. c � 6
6. 29 � a
7. c � 11
8. 6c
9. 63 � a
10. 231 � c
11. 142a
12. 24 � a
13. 96 � a
Problem Solving and Test Prep
14. Joseph wants to rent a truck to move his furniture into his new house. He can rent a truck for $27 per hour. Write an algebraic expression to represent how much Joseph pays for renting the truck for h hours.
15. Samantha bought w cases of water for her party. Each case cost $15. How much did Samantha pay for the water? Write and evaluate an algebraic expression for w = 4.
16. In how many different ways can you write 17 as the product of two numbers?
17. Hillary has 24 stickers. She wants to share them among h students. Which algebraic expression represents how many stickers each student will have?
A 24 � h
B 24 � h
C 24h
D 24 � h
Name Lesson 4.9
PracticePW30
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Prime and Composite NumbersUse counters to show all arrays for each number. Write prime or composite.
1. 12
2. 37
3. 44
4. 28
5. 35
6. 122
7. 61
8. 72
9. 89
10. 56
11. 49
12. 59
13. 101
14. 75
15. 88
16. 14
17. 83
18. 109
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PW31 Practice
Name Lesson 5.1
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Problem Solving Workshop Strategy: Make an Organized ListProblem Solving Strategy PracticeUse an organized list to solve.
1. During the month of May, Jean has photography class every third day and a photography show every Saturday. On May 5 she has class and a show. During the month of May, how many more times will she have a class and a show on the same day?
2. Students are making picture frames. They can choose from a brown or black picture frame and a red, yellow, blue, or green mat. How many different picture frame/mat combinations can the students make?
Mixed Strategy PracticeUSE DATA For 4–5, use the graph.
3. Robin has 7 red beads, 27 purple beads, and 24 yellow beads. She wants to make a necklace with the pattern: 1 red bead; 3 purple beads; 2 yellow beads. How many times can she repeat the pattern? Which color of beads will she run out of first?
4. Clay asked his classmates about their favorite type of book. After making the graph, he accidentally spilled water on it. What information is missing from the graph?
5. Complete the graph. Use the clues below to find the missing data in the graph.
Clue 1: The least favorite type of book is fantasy.
Clue 2: Mystery books are favored by 10% more students than western books.
Which Type Of Book Is
Your Favorite
Western,20% Adventure
24%
Humor,16%
Mystery,____
______ ,10%
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Practice PW32
Name Lesson 5.2
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Introduction to ExponentsFind the value.
1. 103
2. 108
3. 104
4. 106
Write in exponent form.
5. 10,000,000
6. 1,000
7. 10
8. 100,000,000
ALGEBRA Find the value of n.
9. 10 � 10 � 10n
10. 10 � 10 � 10 � 10 � 10 � 10 � 10n
11. 10 � 10 � 10 � 10 � 10 � 10n
12. 102 � n
13. 108 � n
14. 105 � n
Problem Solving and Test Prep
15. Aaron earned $10 each week for 10 weeks of picking up garbage. Kimberly earned $10 each week for 10 weeks of walking dogs. How much money did they earn altogether?
16. Kelly read the odometer on her parents’ car. She wrote down 105 miles. How many miles were shown on the odometer?
17. Which number represents 10 � 10 � 10?
A 100
B 101
C 102
D 103
18. What is the value of 102?
A 10
B 100
C 1,000
D 10,000
PracticePW33
Name Lesson 5.3
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Exponents and Square NumbersWrite in exponent form. Then find the value.
1. 5 � 5 � 5
2. 2 � 2
3. 8 � 8 � 8 � 8
4. 4 � 4 � 4 � 4 � 4
Find the value.
5. 122
6. 55
7. 73
8. 18
9. 115
Compare. Write <, >, or =.
10. 53 23 11. 22 41 12. 54 74 13. 62 93
ALGEBRA Write the missing exponent or base.
14. 26 � 4 15. 29 � 3
16. 36 � 9 17. 24 � 2
Problem Solving and Test PrepFor 18 and 19, use the pattern in the table.
18. James earned 729 pennies. How many plates did he wash?
19. What number in exponent form represents the number of pennies James would earn for washing 11 plates? How many pennies would he earn for washing 11 plates?
20. Which is greater than 92?
A 27
B 43
C 52
D 41
21. What is the value of n?
7n � 16,807
A 1
B 3
C 5
D 7
Pennies EarnedNumber of plates
washedPennies Exponent
form
Start 1 30
1 3 31
2 9 32
3
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PW34 Practice
Name Lesson 5.4
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Prime FactorizationFind the prime factorization. You may use a factor tree.
1. 4
2. 100
3. 155
4. 21
5. 32
Rewrite the prime factorization using exponents.
6. 2 � 5 � 7 � 2
7. 3 � 3 � 7 � 3 � 7
8. 19 � 19 � 19 � 19
Find the number for each prime factorization.
9. 3 � 73
10. 5 � 5 � 5 � 3
11. 52 � 112
12. 2 � 2 � 19
ALGEBRA Write a prime number for n that solves the equation.
13. 23 � 3 � n � 120
14. 81 � 3n
15. 23 � n2 � 200
16. 5n � 625
Problem Solving and Test Prep
17. The prime factors of a number are the first four prime numbers. No factor is repeated. What is the number?
18. The prime factors of Patrick’s favorite number are 2, 7, and 3. Two is repeated once. What is Patrick’s favorite number?
19. Which is the correct prime factorization of 144?
A 24 � 32
B 23 � 34
C 22 � 3
D 26 � 32
20. Which numbers are two of the prime factors of 56?
A 7 and 4
B 2 and 14
C 8 and 7
D 2 and 7
Name Lesson 5.5
PracticePW35
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Equivalent FractionsWrite an equivalent fraction.
1. 1 __ 8
2. 7 ___ 10
3. 4 __ 5
4. 6 __ 8
5. 3 __ 4
6. 1 __ 3
7. 3 __ 6
8. 8 ___ 12
9. 6 __ 9
10. 10 ___ 15
11. 10 ___ 16
12. 5 __ 6
13. 2 __ 4
14. 3 ___ 12
15. 4 __ 6
16. 4 ___ 10
17. 1 __ 5
18. 12 ___ 16
Problem Solving and Test PrepUSE DATA For 19 and 20, use the table.
19. Natalie asked people which of the six colors in the chart they liked best. Write four equivalent fractions to show the fraction of people who chose red.
20. Natalie asks 4 more people their opinion,and they all say blue. What three equivalent fractions show the fraction of people who chose red?
21. Which fraction is equivalent to 2 _ 5 ?
A 3 ___ 10
C 7 ___ 10
B 4 ___ 10
D 3 __ 5
22. Which fraction is equivalent to 14 __ 16 ?
A 7 __ 8 C 4 __
6
B 7 __ 9 D 2 ___
16
Preferred Colors
ColorNumber of People
Who Chose It
Orange 1
Red 4
Purple 2
Blue 3
Green 1
Yellow 1
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Name Lesson 6.1
PW36 Practice
MXECA09AWK5X_PH_C06_L1.indd Page PW36 8/9/09 4:37:27 AM elhi-2MXECA09AWK5X_PH_C06_L1.indd Page PW36 8/9/09 4:37:27 AM elhi-2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L1 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L1
Simplest FormWrite each fraction in simplest form.
1. 14 ___ 16
2. 40 ___ 64
3. 12 ___ 36
4. 9 ___ 30
5. 10 ___ 25
6. 8 ___ 22
7. 17 ___ 34
8. 28 ___ 77
9. 16 ____ 100
10. 24 ___ 30
11. 10 ___ 12
12. 9 ___ 36
13. 20 ___ 60
14. 36 ___ 45
15. 12 ___ 57
16. 10 ___ 24
17. 15 ___ 25
18. 32 ___ 40
19. 70 ____ 100
20. 48 ___ 60
Problem Solving and Test Prep
21. Fast Fact Eight states border one or more of the five Great Lakes. Write a fraction representing the part of the 50 states that border a Great Lake. Write the fraction in simplest form.
22. Twenty out of 75 salon clients made an appointment for a haircut. What fraction of the clients made a haircut appointment? Write the fraction in simplest form.
23. Which fraction shows 21 __ 28 in simplest form?
A 1 __ 8
B 1 __ 7
C 3 __ 7
D 3 __ 4
24. Twelve of 30 students rode the bus today. What fraction of the students rode the bus? Write the fraction in simplest form.
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Name Lesson 6.2
PW37 Practice
MXECA09AWK5X_PH_C06_L2.indd Page 1 7/25/09 2:53:51 AM s-124MXECA09AWK5X_PH_C06_L2.indd Page 1 7/25/09 2:53:51 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L2
Understand Mixed NumbersWrite each mixed number as a fraction. Write each fraction as a mixed number.
1. 1 7 __ 8
2. 10 ___ 9
3. 27 ___ 4
4. 3 4 __ 5
5. 1 11 ___ 15
6. 4 1 ___ 12
7. 41 ___ 10
8. 41 ___ 8
9. 61 ___ 3
10. 5 9 ___ 10
11. 3 1 __ 9
12. 39 ___ 5
13. 4 3 __ 7
14. 21 ___ 4
15. 57 ___ 7
16. 8 5 __ 6
17. 9 4 __ 9
18. 41 ___ 6
19. 7 2 __ 3
20. 6 3 ___ 10
21. 4 2 ___ 15
22. 31 ___ 4
23. 16 ___ 5
24. 35 ___ 6
Problem Solving and Test Prep
25. How many times will Gayle fill a 1 _ 2 -cup ladle to serve 8 1 _ 2 cups of punch?
26. A recipe calls for 2 3 _ 4 cups of milk. Write 2 3 _ 4 as a fraction.
27. Which fraction is the same as 2 4 _ 5 ?
A 8 __ 5
B 9 __ 5
C 14 ___
5
D 24 ___
5
28. Which mixed number is the same as 23 ___
4 ?
A 2 3 __ 4
B 3 1 __ 2
C 4 1 __ 4
D 5 3 __ 4
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Name Lesson 1.1Name Lesson 6.3
PracticePW38
MXECA09AWK5X_PH_C06_L3.indd Page 1 7/25/09 2:54:06 AM s-124MXECA09AWK5X_PH_C06_L3.indd Page 1 7/25/09 2:54:06 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L3 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L3
Compare and Order Fractions and Mixed NumbersCompare. Write <, >, or = for each .
1. 4 __ 9 5 __
9 2. 3 __
4 3 __
5 3. 2 __
3 8 ___
12 4. 5 __
8 4 __
7 5. 9 ___
11 8 __
9
6. 5 ___ 12
3 __ 7 7. 6 ___
10 4 __
5 8. 2 7 __
9 2 5 __
6 9. 4 5 __
8 4 3 __
4 10. 9 2 __
6 8 3 __
9
11. 3 4 __ 5 3 5 __
6 12. 1 2 ___
10 1 1 __
5 13. 4 4 __
6 3 3 __
4 14. 1 1 __
3 1 4 ___
12 15. 6 3 __
8 6 1 __
4
16. 7 5 __ 6 9 5 __
6 17. 2 4 __
9 2 1 __
5 18. 5 3 __
4 5 2 __
3 19. 7 4 __
6 8 1 __
2 20. 1 5 ___
11 1 3 __
7
Write in order from least to greatest.
21. 3 __ 8 , 3 __
4 , 1 __
4
22. 2 __ 3 , 1 __
6 , 7 __
9
23. 1 5 __ 8 , 1 3 __
4 , 1 5 __
6
24. 7 3 __ 5 , 6 2 __
3 , 6 6 ___
10
Problem Solving and Test Prep
25. Use Data Len paints and sells wooden flutes. List the flutes in order from shortest to longest.
26. Use Data Len created a new flute that is 6 2 _ 3 inches long. Which, if any, of his flutes are longer?
27. Kayla practiced violin 2 1 _ 4 hours on
Monday, 1 3 __ 10 hours on Tuesday, and 1 4 _ 9
hours on Wednesday. On which day did
she practice for the shortest time?
28. Dean practiced trombone 1 2 _ 3 hours on
Monday, 1 7 __ 12 hours on Tuesday, and 1 7 _ 9
hours on Wednesday. On which day did
he practice for the longest time?
Len’s FlutesFlute Name Length, in inches
Lily 6 3 _ 4
Rose 6 5 _ 8
Ivy 6 7 __ 12
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PracticePW39
Name Lesson 6.4
MXECA09AWK5X_PH_C06_L4.indd Page PW39 7/25/09 2:54:13 AM s-124MXECA09AWK5X_PH_C06_L4.indd Page PW39 7/25/09 2:54:13 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L4 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L4
Problem Solving Strategy: Make a ModelProblem Solving Strategy PracticeMake a model to solve the problem.
1. From home, Todd walked 3 blocks south and 2 blocks east to a friend’s house. Then they walked 6 blocks west to school. He cannot cut across blocks. How many blocks from school does Todd live?
2. Kalere is erecting a picket fence on one side of her garden. Each picket is 4 inches wide and 2 inches apart. She has 12 pickets. How many inches long will Kalere’s fence be?
Mixed ApplicationsSolve.
3. Lisa spent 10 minutes driving to the grocery store and 50 minutes shopping there. She spent 10 minutes driving back home and 40 minutes making sandwiches for a picnic. She drove 30 minutes from home and arrived at the picnic at 3:30 P.M. What time did Lisa leave to go to the grocery store?
4. Playing golf, Leta’s ball stopped 3 5 _ 8 feet from the hole, Blake’s ball stopped 3 2 _ 3 feet from the hole, and Toby’s ball stopped 4 1 _ 4 feet from the hole. Whose ball was closest to the hole?
5. A city garden is in the shape of a rectangle. There is a walkway from each corner of the rectangle to every other corner of the rectangle. How many walkways are there?
6. Pose a Problem Look back at Problem 5. Write a similar problem by increasing the number of corners the garden has. Then solve the problem.
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Name Lesson 6.5
PracticePW40
MXECA09AWK5X_PH_C06_L5.indd Page 1 7/25/09 2:53:59 AM s-124MXECA09AWK5X_PH_C06_L5.indd Page 1 7/25/09 2:53:59 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L5 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L5
Relate Fractions and DecimalsWrite each fraction as a decimal.
1. 7 ____ 100
2. 1 __ 4
3. 3 ___ 10
4. 9 ___ 20
5. 20 ___ 25
6. 6 ___ 25
7. 2 __ 5
8. 1 ___ 20
9. 13 ___ 50
10. 10 ___ 20
11. 14 ___ 50
12. 2 __ 4
Write each decimal as a fraction in simplest form.
13. 0.59
14. 0.06
15. 0.7
16. 0.41
17. 0.90
18. 0.05
19. 0.5
20. 0.23
21. 0.75
22. 0.08
23. 0.2
24. 0.22
25. 0.04
26. 0.98
27. 0.25
Problem Solving and Test Prep
28. Write a decimal for the shaded part.
29. Which decimal is equivalent to 3 __ 20 ?
A 3.20
B 2.3
C 0.3
D 0.15
30. Which is equivalent to 1.8?
A 1 4 __ 5
B 1 1 __ 8
C 1 __ 8
D 1 ___ 18
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Name Lesson 6.6
PracticePW41
MXECA09AWK5X_PH_C06_L6.indd Page 1 7/25/09 2:54:41 AM s-124MXECA09AWK5X_PH_C06_L6.indd Page 1 7/25/09 2:54:41 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L6 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L6
Use a Number LineUse a number line to order each set of data from least to greatest.
1. 1.5, 1 3 __ 4 , 1.3 2. 1 2 __
3 , 1.5, 1 5 __
6
3. 0.4, 1 __ 4 , 0.45
6. 0.1, 1 __ 2 , 0.2
9. 0.3, 1 __ 4 , 0.15
4. 1.25, 1 2 __ 5 , 1.3
5. 1 3 ___ 10
, 1.55, 1 3 __ 5
7. 1.45, 1 2 __ 5 , 1.5
8. 1 7 ___ 10
, 1.5, 1 3 __ 5
Problem Solving and Test Prep10. Ric ran 0.78 mile, Dan ran 4 _ 5 mile, and
Kay ran 0.7 mile. Who ran farthest?
11. Leah ran 3 _ 4 mile, Ken ran 5 _ 8 mile, and Alia ran 0.6 mile. Who ran farthest?
12. Which fraction is less than 0.75?
A 3 __ 4
B 4 __ 5
C 5 __ 8
D 9 ___ 10
13. Which fraction is greater than 0.65?
A 13 ___
20
B 3 __ 5
C 5 __ 8
D 7 ___ 10
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Name Lesson 6.7
PracticePW42
MXECA09AWK5X_PH_C06_L7.indd Page 1 7/25/09 2:53:44 AM s-124MXECA09AWK5X_PH_C06_L7.indd Page 1 7/25/09 2:53:44 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L7 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch06/MXECA09AWK5X_PH_C06_L7
Model Addition and SubtractionUse fraction bars to find the sum or the difference. Write the answer in simplest form.
1.
3 __ 5 � 1 __
5 �
2.
2 __ 8 � 1 __
8 �
3.
6 ___ 12
� 2 ___ 12
�
Find the sum or difference. Write it in simplest form.
4. 1 __ 4 � 1 __
4
5. 2 __ 7 � 1 __
7
6. 3 __ 5 � 1 __
5
7. 3 __ 7 � 2 __
7
8. 7 ___ 10
� 2 ___ 10
9. 4 __ 9 � 3 __
9
10. 4 __ 6 � 1 __
6
11. 3 __ 8 � 3 __
8
12. 8 ___ 10
� 5 ___ 10
13. 1 __ 6 � 2 __
6
14. 9 ___ 12
� 3 ___ 12
15. 2 __ 4 � 1 __
4
16. 7 __ 8 � 5 __
8
17. 2 __ 5 � 1 __
5
18. 3 ___ 10
� 5 ___ 10
19. 10 ___ 11
� 3 ___ 11
20. 4 __ 5 � 2 __
5
21. 7 __ 9 � 1 __
9
22. 4 __ 7 � 2 __
7
23. 4 ___ 10
� 3 ___ 10
1
1515
15
15
1
1818
18
1
112
112
112
112
112
112
112
112
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Name Lesson 7.1
PracticePW43
MXECA09AWK5X_PH_C07_L1.indd Page 1 28/08/2009 17:34:13 elhi-2MXECA09AWK5X_PH_C07_L1.indd Page 1 28/08/2009 17:34:13 elhi-2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L1 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L1
Add and Subtract Like FractionsFind the sum or difference. Write it in simplest form.
1. 1 __ 4 � 1 __
4
2. 2 __ 7 � 1 __
7
3. 3 __ 5 � 1 __
5 4. 3 __
7 � 2 __
7
5. 7 __ 8 � 5 __
8
6. 7 ___ 10
� 2 ___ 10
7. 4 __ 9 � 3 __
9
8. 4 __ 6 � 1 __
6
9. 3 __ 8 � 3 __
8
10. 2 __ 5 � 1 __
5
11. 8 ___ 10
� 5 ___ 10
12. 1 __ 6 � 2 __
6
13. 9 ___ 12
� 3 ___ 12
14. 2 __ 4 � 1 __
4
15. 3 ___ 10
� 5 ___ 10
Problem Solving and Test Prep
16. Glaciers currently store 3 _ 4 of the world’s freshwater supply. If 1 _ 4 of those glaciers melted, how much would be left in glacier form?
17. When an iceberg floats in a body of water, 1 _ 7 of the mass can be seen above water. How much of the iceberg remains beneath the surface of the water?
18. Iceberg Alley is where bergs from the glaciers of Greenland drift down to Newfoundland. If an iceberg floats 4 __ 10 mile in January and 6 __ 10 mile in February. How many miles did the iceberg travel over the two months?
A 2 ___ 10
B 1 __ 5
C 1
D 1 1 __ 2
19. Icebergs are usually white from millions of tiny air bubbles trapped in the ice with occasional blue streaks. If 5 _ 8 of the iceberg is white, how much of the iceberg is streaked with blue?
A 3 __ 8
B 5 __ 8
C 2 __ 8
D 1 3 __ 8
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Practice
Name Lesson 7.2
PW44 Practice
MXECA09AWK5X_PH_C07_L2.indd Page PW44 7/25/09 3:01:33 AM s-124MXECA09AWK5X_PH_C07_L2.indd Page PW44 7/25/09 3:01:33 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L2
Add and Subtract Like Mixed NumbersFind the sum or difference. Write it in simplest form.
1. 9 5 __ 9
�7 4 __ 9
_
2. 4 2 __ 5
�2 1 __ 5
_
3. 6 9 ___ 15
�3 6 ___ 15
__
4. 7 3 __ 4
�2 3 __ 4
_
5. 3 2 __ 7
�1 2 __ 7
_
6. 9 4 __ 6 � 4 3 __
6
7. 5 9 ___ 10
� 4 6 ___ 10
8. 8 2 __ 3 � 2 2 __
3
9. 10 6 __ 7 � 8 4 __
7
Problem Solving and Test Prep
10. Twice a week Manuelo babysits for his little brother. On Thursday, Manuelo babysat for 3 3 _ 5 hours and on Friday, he babysat for 2 1 _ 5 hours. How many hours did Manuelo babysit this week?
11. Andrea worked as a camp counselor over the summer vacation. One weekend, she worked 5 5 _ 7 hours on Saturday and 4 3 _ 7 hours on Sunday. How many more hours did Andrea work on Saturday?
12. Debra spends 12 8 _ 9 days in August working at the deli and 7 4 _ 9 days on vacation with her family. How many more days does Debra spend working at the deli?
A 6 3 __ 9
B 5 12 ___ 18
C 5 4 __ 9
D 4 4 __ 9
13. Debra worked 8 2 _ 4 hours at the deli on Monday and 9 3 _ 4 hours on Tuesday. How many hours did Debra work Monday and Tuesday?
A 17 1 __ 4
B 18 1 __ 4
C 1 1 __ 4
D 17 5 __ 8
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Name Lesson 7.3
PW45 Practice
MXECA09AWK5X_PH_C07_L3.indd Page 45 7/25/09 3:01:13 AM s-124MXECA09AWK5X_PH_C07_L3.indd Page 45 7/25/09 3:01:13 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L3 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L3
Subtraction with RenamingFind the difference. Write it in simplest form.
1. 4 3 __ 7 � 2 5 __
7
2. 3 5 ___ 12
� 1 7 ___ 12
3. 7 3 __ 8 � 4 6 __
8
4. 5 � 1 6 __ 9
5. 6 1 __ 6 � 4 5 __
6
6. 9 � 2 9 ___ 10
7. 8 5 __ 8 � 1 6 __
8
8. 2 � 1 1 __ 4 9. 6 9 ___
20 � 3 12 ___
20
10. 10 � 4 3 __ 5
11. 11 4 __ 9 � 7 7 __
9
12. 4 � 2 2 __ 4
13. 6 � 3 __ 4
14. 12 8 ___ 15
� 9 9 ___ 15
15. 7 1 __ 5 � 6 4 __
5
Problem Solving and Test Prep
16. Ronald is helping to paint scenery. He uses 2 2 _ 3 gallons of red paint from a 3 gallon container. How many gallons of paint are left?
17. Maggie is making costumes for the play. She must make a cape that is 5 1 _ 3 yards long. The fabric that she is using to make the cape is 9 yards long. How much fabric will be left after Maggie makes the cape?
18. Juan must dance 10 5 _ 6 feet across the stage floor. The stage floor is 15 feet long. How many more feet does Juan have to dance to cross the floor?
A 5 1 __ 6 feet C 5 5 __
6 feet
B 4 1 __ 6 feet D 4 5 __
6 feet
19. Casey read 6 8 _ 9 scenes in the play on Monday. There are 10 scenes in the play. How many more scenes does Casey have to read to finish the play?
A 4 1 __ 9 C 3 1 ___
10
B 4 1 ___ 10
D 3 1 __ 9
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Name Lesson 7.4
PracticePW46
MXECA09AWK5X_PH_C07_L4.indd Page 1 7/25/09 3:01:20 AM s-124MXECA09AWK5X_PH_C07_L4.indd Page 1 7/25/09 3:01:20 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L4 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L4
Problem Solving Workshop Strategy: Work BackwardProblem Solving Strategy Practice
1. Rodney’s class is making a float for the Independence Day parade. They used a total of 4 yards of red fabric, white fabric, and blue fabric to decorate the float. They used 1 1 _ 6 yards of red fabric and 1 5 _ 6 yards of blue fabric. If the remainder of the fabric was white, how many yards of white fabric did Rodney’s class use?
2. At the Independence Day parade, Sing used his allowance to buy several souvenirs. He paid $22.00 for two T-shirts and a baseball cap. The baseball cap cost $6.00. He does not remember the exact price of the T-shirts. How much did Sing pay for each T-shirt?
Mixed Strategy Practice
For 3 — 4 use the table
3. Students used 8 1 _ 4 feet of streamers for the front of the float and 9 3 _ 4 feet of streamers for the back of the float. How many feet of streamers were left for the sides of the float?
Materials for Parade Float
Materials Amount
Wood 36 1 _ 4 feet
Streamers 32 3 _ 5 feet
Paint 9 1 _ 6 gallons
4. Use Data Students used wood to build 5 pillars on the float. Each pillar used 5 7 _ 8 feet of wood. How much wood did they have left after building the pillars?
5. Nina paints murals on buildings in her town. She used 5 1 _ 2 gallons of red and green paint for her most recent mural. Nina used 1 1 _ 2 gallons more red paint than green paint. How many gallons of each color did Nina use?
6. Frieda handed out 60 flags on three streets before the parade. Frieda handed out 26 flags on Main Street. If she handed out an equal number of flags on both Sycamore Drive and on Elm Street, how many flags did Frieda hand out to spectators on each of those two streets?
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Name Lesson 7.5
PracticePW47
MXECA09AWK5X_PH_C07_L5.indd Page 1 7/29/09 1:18:26 AM s-124MXECA09AWK5X_PH_C07_L5.indd Page 1 7/29/09 1:18:26 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L5/Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch07/MXECA09AWK5X_PH_C07_L5
Model Addition of Unlike FractionsFind the sum. Write the answer in simplest form.
1.
1 __ 2 � 5 __
8 �
2.
3 __ 5 � 1 __
4 �
3.
1 __ 2 � 1 __
5 �
Find the sum using fraction bars. Write it in simplest form.
4. 1 __ 5 � 4 ___
10 �
5. 1 __ 2 � 3 ___
10 �
6. 5 __ 6 � 2 __
3 �
7. 1 __ 3 � 2 __
4 �
8. 1 __ 2 � 1 __
8 �
9. 1 __ 3 � 1 __
2 �
10. 5 __ 8 � 2 __
5 �
11. 5 __ 8 � 3 __
4 �
12. 3 __ 4 � 2 __
3 �
13. 3 __ 5 � 1 __
2 �
14. 2 __ 6 � 3 __
9 �
15. 1 __ 4 � 5 ___
12 �
16. 1 __ 2 � 2 __
6 �
17. 6 ___ 10
� 1 __ 3 �
18. 1 ___ 12
� 3 __ 4 �
1
?
12
18
18
18
18
18
15
15
15
14
1
?
15
1
?
12
PracticePW48
Name Lesson 8.1
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MXECA09AWK5X_PH_C08_L1.indd Page 1 7/25/09 3:00:25 AM s-124MXECA09AWK5X_PH_C08_L1.indd Page 1 7/25/09 3:00:25 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch08/MXECA09AWK5X_PH_C08_L1 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch08/MXECA09AWK5X_PH_C08_L1
Model Subtraction of Unlike FractionsUse fraction bars to find the difference. Write the answer in simplest form.
1.
5 __ 6 � 2 __
3 �
2.
3 __ 4 � 1 __
5 �
3.
5 __ 8 � 1 __
4 �
Find the difference using fraction bars. Write it in simplest form.
4. 2 __ 5 � 2 ___
10 � 5. 1 __
2 � 1 ___
12 � 6. 7 __
8 � 1 __
2 �
7. 3 __ 4 � 4 __
6 � 8. 2 __
3 � 1 __
5 � 9. 6 __
7 � 1 __
2 �
10. 4 __ 5 � 3 ___
10 � 11. 7 ___
12 � 1 __
3 � 12. 1 __
4 � 1 ___
10 �
13. 7 __ 8 � 3 __
4 � 14. 5 __
7 � 1 __
2 � 15. 8 __
9 � 1 __
3 �
16. 4 ___ 10
� 1 __ 4 � 17. 6 __
7 � 1 __
3 � 18. 3 __
4 � 1 __
2 �
16
13
13
16
16
16
16
1
14
15
14
14
1
18
14
18
18
18
18
1
Name Lesson 1.1Name Lesson 8.2
PracticePW49
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MXECA09AWK5X_PH_C08_L2.indd Page 1 7/25/09 3:00:59 AM s-124MXECA09AWK5X_PH_C08_L2.indd Page 1 7/25/09 3:00:59 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch08/MXECA09AWK5X_PH_C08_L2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch08/MXECA09AWK5X_PH_C08_L2
Name Lesson 8.3
Estimate Sums and DifferencesEstimate each sum or difference.
1. 5 __ 7 � 1 __
4
2. 1 __ 6 � 3 __
7
3. 8 __ 9 � 2 __
5
4. 10 ___ 11
� 6 __ 9
5. 7 __ 8 � 1 __
2
6. 3 __ 5 � 2 __
8
7. 6 __ 7 � 3 __
4
8. 1 __ 8 � 5 __
6
9. 9 ___ 12
� 1 __ 9
10. 5 __ 8 � 4 __
5
11. 1 __ 5 � 6 __
7
12. 7 ___ 11
� 3 ___ 10
13. 4 __ 5 � 8 __
9
14. 7 __ 9 � 3 __
5
15. 8 ___ 12
� 2 ___ 10
Problem Solving and Test Prep
16. Maria is making burritos for dinner. Her recipe calls for 7 _ 8 cup of ground beef and 1 _ 6 cup of shredded cheese. Estimate the total amount of meat and cheese used in Maria’s recipe.
17. Jeremy rides his skateboard 2 miles from his home to school. After riding 3 _ 8 mile, he realized he left his lunch money on the counter at home. About how far did he have left to travel when he realized his mistake?
18. Gail is making a healthy snack for her weekend hike. She added 3 _ 5 cup of raisins and 6 _ 7 cup of peanuts. Estimate the total amount that Gail added to the mix.
A 1 1 __ 2 cups
B 1 cup
C 2 cups
D 1 __ 2 cup
19. Ling made 1 gallon of fruit punch for his sister’s graduation party using orange juice and fresh fruit. If 5 __ 11 gallon of the punch is orange juice, about how much is fresh fruit?
A 1 __ 4 gallon
B 1 __ 8 gallon
C 3 __ 4 gallon
D 1 __ 2 gallon
Name Lesson 8.3
PracticePW50
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PracticePW51
Name Lesson 8.4
Use Common DenominatorsFind the sum or difference. Write the answer in simplest form.
1. 4 __ 5 � 1 __
2
2. 7 __ 8 � 1 __
4
3. 1 ___ 10
� 1 __ 5
4. 7 ___ 12
� 1 __ 4
5. 2 __ 9 � 1 ___
10
6. 6 __ 7 � 3 __
8
7. 8 __ 9 � 1 __
2
8. 3 __ 4 � 1 __
5
9. 4 __ 5 � 4 ___
15
10. 7 ___ 10
� 1 __ 4
Problem Solving and Test Prep
11. The lroquois tribe lived in the Adirondack Mountains of New York during the 1700s. The tribe members were skilled deer hunters, utilizing all parts of the animal to benefit the tribe. If 1 _ 2 of the deer was used for food and 1 _ 4 was used for skins for clothing, how much of the deer was utilized?
12. The lroquois tribe was skilled at tracking animals through the Adirondack Mountains. A favorite hunting trail was 7 _ 8 mile long but the hunters only followed it for 1 _ 6 mile before spotting the first deer. How much more trail was there to hunt after the first sighting?
13. The Iroquois tribe hunted deer and bear as a means of survival. If 3 _ 8 of their food supply was deer meat and 2 _ 5 was bear meat, how much of their food supply did the animals account for?
A 5 __ 8
B 31 ___
40
C 1
D 5 ___ 13
14. The Iroquois women used the sharp pieces of deer bone as sewing needles for making clothes. If a deer bone was 5 _ 6 inch but only 3 _ 4 inch was needed for the needle, how much bone would be left over?
A 1 ___ 12
inch
B 1 __ 2 inch
C 4 __ 5 inch
D 1 __ 3 inch
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Add and Subtract FractionsFind the sum or difference. Write it in simplest form.
1. 5 __ 7 � 1 __
5
2. 7 __ 8 � 1 __
2
3. 8 __ 9 � 1 __
4
4. 3 __ 4 � 2 __
3
5. 1 __ 3 � 4 __
5
6. 3 ___ 10
� 1 __ 6
7. 1 � 7 __ 9
8. 1 __ 3 � 1 __
8
9. 7 ___ 12
� 3 __ 5
10. 6 __ 8 � 4 ___
16
Problem Solving and Test Prep
11. Peregrine falcons are about the size of a crow. The females are slightly larger than the males. If a female’s wingspan is 3 1 _ 2 feet and a male’s wingspan is 2 3 _ 4 feet, what is the difference in wingspan between the female and the male?
12. Peregrine falcons mate for life. There are an estimated 1,650 pairs of Peregrine falcons in the United States and Canada. If the female of one of these pairs weighs 2 8 __ 10 pounds and the male weighs 2 1 __
6 pounds, what is the
total weight of the pair of Peregrine falcons?
13. There are 320 species of hummingbirds in the world. Comparing two examples, a giant hummingbird is 8 1 _ 3 inches long while a bee hummingbird is 2 1 _ 8 inches. What is the difference in size between these two hummingbirds?
A 6 1 ___ 12
B 6 1 ___ 11
C 6 5 ___ 24
D 6 1 ___ 24
14. Depending on the species, hummingbirds lay between one and three eggs. If the mother incubated her eggs 13 7 _ 8 days for her first litter and 15 1 _ 6 days for her second litter. How much time did the mother spend incubating both litters of eggs?
A 28 1 ___ 24
days
B 29 1 ___ 24
days
C 29 days
D 28 days
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PracticePW52PW52
Name Lesson 8.5
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Problem Solving Strategy: Compare StrategiesGuided Problem Solving 1. Casey worked on memorizing her lines
for the school’s three act play for 6 1 _ 4 hours. She spent 2 3 _ 4 hours working on act one and 1 5 _ 8 hours working on act two. How many hours did Casey spend working on act three?
2. What if Casey had worked on memorizing lines for 5 7 _ 8 hours. Then how many hours did she spend working on act three?
Mixed Strategy Practice
3. In the school musical, 1 _ 4 of the actors were playing lead roles and 1 _ 5 of the actors were playing supporting roles. All of the other actors were chorus members. What fraction of the actors in the school musical were chorus members?
4. Use Data Laurie wants to make 3 gowns. How many yards of yellow silk will she need for the gowns?
5. Use Data How much more blue chiffon than yellow silk will Laurie need to make 2 gowns for the school musical?
6. Heather bought 12 1 _ 2 gallons of paint for the scenery. If 8 1 _ 3 gallons of the paint were red, 2 1 _ 6 gallons were black, and the rest was white, how many gallons of the paint were white?
Materials needed to make 1 gown
FabricAmount in Yards
Blue Chiffon 3 1 _ 2
Yellow Silk
2 3 _ 5
Gold Trim
2 6 _ 7
Name Lesson 8.6
PracticePW53
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Model Addition of Mixed NumbersUse fraction bars to find the sum. Write it in simplest form.
1. 3 1 __ 2 � 2 1 __
3
2. 1 1 __ 4 � 3 3 __
8
3. 3 3 __ 5 � 1 1 __
5
4. 5 3 ___ 10
� 1 3 __ 5
5. 2 1 __ 8 � 2 3 __
4
6. 5 1 __ 4 � 1 1 __
6
7. 4 1 __ 3 � 1 3 __
4
8. 2 1 __ 5 � 3 3 ___
10
9. 1 5 __ 6 � 2 1 ___
12
10. 4 4 ___ 10
� 1 1 __ 2
11. 1 11 ___ 12
� 1 2 __ 3
12. 2 3 ___ 10
� 2 1 __ 2
13. 1 4 ___ 10
� 1 1 __ 2
__
14. 3 4 ___ 10
� 1 2 ___ 10
__
15. 1 1 __ 5
� 2 9 ___ 10
__
16. 3 2 __ 5
� 3 1 __ 2
_
17. 5 1 __ 3
� 2 4 __ 5
_
18. 1 5 __ 6
� 4 5 ___ 12
__
19. 2 9 ___ 10
� 1 7 ___ 10
__
20. 4 3 __ 8
� 3 1 __ 4
_
21. 2 1 __ 4
� 2 1 __ 2
_
22. 3 1 __ 3
� 3 7 ___ 12
__
23. 1 1 __ 4
� 5 1 __ 2
_
24. 3 1 __ 2
� 4 2 __ 5
_
PW54
Name Lesson 9.1
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Practice
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Model Subtraction of Mixed NumbersUse fraction bars, or draw a picture to find the difference. Write it in simplest form.
1. 3 8 ___ 10
�2 5 ___ 10
2. 5 5 __ 8 � 3 3 __
8
3. 6 1 __ 2 � 1 1 __
4
4. 4 1 __ 3 � 1 __
4
5. 3 3 __ 4 � 2 3 __
8
6. 5 3 __ 5 � 3 1 __
2
7. 4 5 __ 6 � 1 1 ___
12
8. 5 5 __ 6 � 2 1 __
2
9. 3 7 ___ 12
� 1 1 __ 2
10. 5 2 __ 3 � 4 1 __
4
11. 4 11 ___ 12
� 2 1 __ 6
12. 3 1 __ 2 � 1 1 __
5
13. 4 7 __ 8
� 1 1 __ 4
_
14. 5 7 ___ 10
� 5 1 __ 5
__
15. 5 4 __ 5
� 2 1 __ 2
_
16. 6 1 __ 2
� 3 1 __ 6
_
17. 5 1 __ 2
� 2 1 __ 3
_
18. 5 1 __ 2
� 3 2 __ 5
_
19. 2 2 __ 3
� 1 1 __ 2
_
20. 5 7 __ 8
� 3 1 __ 4
_
21. 5 3 __ 4
� 1 1 __ 3
_
22. 6 11 ___ 12
� 5 1 __ 2
__
23. 4 9 ___ 10
� 4 1 __ 5
__
24. 6 7 __ 8
� 3 3 __ 4
_
Name Lesson 9.2
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PW55 Practice
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Record Addition and SubtractionEstimate. Then find the sum or difference. Write it in simplest form.
1. 9 7 ___ 10
� 1 3 __ 5 �
2. 8 2 __ 3 � 3 1 __
9 �
3. 9 1 __ 4 � 5 2 __
3 �
4. 6 1 __ 2 � 1 4 __
9 �
5. 1 3 __ 7 � 6 1 __
3 �
6. 10 3 __ 4 � 5 1 __
6 �
7. 8 3 __ 6 � 2 4 ___
12 �
8. 12 11 ___ 12
� 3 3 __ 4 �
9. 8 5 __ 6 � 9 3 __
4 �
Problem Solving and Test PrepUSE DATA For 10–11, use the table.
10. How many miles did Sheryl run on Monday and Tuesday?
11. How much farther did Sheryl walk on Monday than on Tuesday?
12. Dan played guitar for 2 1 _ 2 hours on Saturday and 1 2 _ 5 hours on Sunday.
How many hours total did Dan playguitar?
A 1 7 __ 10 hours
B 3 3 _ 7 hours
C 3 1 _ 2 hours
D 3 9 __ 10 hours
13. Ana spent 1 2 _ 3 hours cleaning her room, and Evelyn spent 1 8 _ 9 hours cleaning her room. How much longer did it take Evelyn to clean her room?
A 3 5 _ 9 hours
B 1 hour
C 2 _ 3 hour
D 2 _ 9 hour
Sheryl’s Training Record (In Miles)
Walking Running
Monday 4 1 _ 3 1 1 _
2
Tuesday 2 1 _ 4 2 5 _
9
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Name Lesson 9.3
PW56 Practice
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Subtraction with RenamingUse fraction bars to find the difference. Write it in simplest form.
1. 5 3 __ 8 � 1 5 __
8
2. 7 � 2 1 __ 4
3. 4 1 __ 2 � 3 __
4
4. 4 1 __ 2 � 2 4 __
5
5. 6 1 ___ 10
� 2 9 ___ 10
6. 7 3 ___ 10
� 1 3 __ 5
7. 7 1 __ 2 � 6 2 __
3
8. 4 1 __ 3 �3 7 ___
12
Problem Solving and Test PrepUSE DATA Use the recipe for 9—10.
9. Zack decided to reduce the amount of banana by 1 7 _ 8 ounces. How much banana did Zack use?
10. Zack’s recipe makes a 10 5 __ 12 -ounce smoothie. If blueberries are not included, how many ounces would the smoothie be?
11. Stacey buys 4 1 _ 4 yards of ribbon to make a bow. She uses 2 5 _ 8 yards. How much ribbon is left?
A 1 3 __ 8 yards
B 1 5 __ 8 yards
C 2 4 __ 8 yards
D 2 5 __ 8 yards
12. Jon used 5 1 _ 4 ounces of cranberry juice and 3 2 _ 3 ounces of orange juice to make fruit punch. How much more cranberry juice than orange juice did Jon use?
A 1 5 ___ 12
ounces
B 1 7 ___ 12
ounces
C 2 1 __ 7 ounces
D 2 7 ___ 12
ounces
Zack’s Large Fruit Smoothie
4 3 _ 4 ounces Banana
2 1 _ 6 ounces Strawberry
3 1 _ 2 ounces Blueberry
PW57 Practice
Name Lesson 9.4
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Problem Solving Workshop Skill: Sequence InformationProblem Solving Skill Practice 1. A 5 hour party is being planned to start
at 11.00 A.M. and will include a social time, a game, lunch, and dancing. Game time is right after lunch and will last 3 _ 4 of an hour. Social time is just before dancing and will last 1 1 _ 2 hours. The event will end with 1 1 _ 2 hours of dancing. What time will the game begin?
2. What if the social time lasts 1 3 _ 4 hours, instead of 1 1 _ 2 hours, and the dancing lasted 1 1 _ 4 hours, instead of 1 1 _ 2 hours? What time will the game begin?
3. Sam’s birthday is 186 days after Jim’s birthday. Susan’s is 24 days after Jim’s. Sam was born on September 6th. What day was Susan born on if it wasn’t a leap year?
4. John drives a total of 350 miles a day. He makes 3 stops. He drives 150 miles to his first stop. From the second stop to the third stop, he drives 75 miles. How many miles does he drive from the first stop to the second stop?
Mixed Applications 5. Mario walked his dog 5 miles. He walked
3 1 _ 5 miles from home to the post office, and then walked to the library before going home. Mario lives 1 1 _ 2 miles from the libary. How far is it from the post office to the libary?
6. Terry planted a gladiolus bulb. On Wednesday it was 7 _ 8 inch tall. It had grown 1 _ 4 inch between Tuesday and Wednesday. It had grown 3 _ 8 inch between Monday and Tuesday. How tall was Terry’s gladiolus on Monday?
PW58 Practice
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Name Lesson 9.5
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PW59 Practice
Model Multiplication of FractionsWrite the number sentence each model represents.
1. 2.
Find the product.
3. 4 __ 9 � 5 __
6
4. 1 __ 3 � 1 __
4
5. 1 __ 8 � 2 __
3
6. 4 __ 7 � 2 __
5
7. 1 __ 2 � 2 __
9
8. 1 __ 3 � 3 __
4
9. 2 __ 5 � 1 __
7
10. 3 ___ 10
� 1 __ 2
11. 1 __ 9 � 2 __
3
12. 5 __ 7 � 1 __
4
13. 1 __ 6 � 3 __
5
14. 5 __ 9 � 1 __
4
15. 2 __ 3 � 1 __
6
16. 5 ___ 12
� 1 __ 2
17. 7 ___ 10
� 1 __ 5
18. 2 __ 3 � 3 __
8
19. 1 __ 9 � 5 __
6
20. 2 __ 5 � 4 __
7
21. 4 __ 9 � 3 __
4
22. 2 __ 5 � 1 ___
10
Name Lesson 10.1
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Record Multiplication of FractionsFind the product. Write it in simplest form.
1. 2 __ 3 � 9 ___
10
2. 6 __ 7 � 1 __
3
3. 5 __ 8 � 7 ___
12 4. 1 __
4 � 3 __
7
5. 2 __ 9 � 4 __
7
6. 3 __ 8 � 5 ___
12
7. 9 ___ 10
� 4 __ 5
8. 3 __ 7 � 6 __
9
9. 4 ___ 10
� 7 __ 8
10. 5 __ 6 � 1 __
3
11. 1 __ 9 � 3 ___
10
12. 2 __ 5 � 3 ___
12
13. 4 __ 7 � 9 ___
10
14. 10 ___ 12
� 3 __ 5
15. 4 __ 9 � 3 __
8
Problem Solving and Test Prep
16. Alexa uses 2 _ 3 of her backyard for a dog run. She has 1 _ 5 of the dog run fenced in. What fraction of Alexa’s backyard is fenced in?
17. Charles uses 1 _ 3 of his farm for a pumpkin patch. He uses 2 _ 7 of the pumpkin patch to grow white pumpkins. What fraction of the farm grows white pumpkins?
18. Jin picks 2 _ 3 of 1 _ 2 of his apple orchard to make apple cider. What fraction of the orchard did Jin pick?
A 1 __ 2
B 1 __ 6
C 1 __ 3
D 5 __ 9
19. Luisa planted 3 _ 5 of the last 2 _ 9 of her flower garden with daffodils. What fraction of her garden is daffodils?
A 5 ___ 20
B 1 __ 9
C 6 __ 7
D 2 ___ 15
Name Lesson 10.2
PW60 Practice
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Practice
Multiply Fractions and Whole NumbersFind the product.
1. 5 � 9 ___ 10
2. 3 __ 4 � 2
3. 5 __ 6 � 3 4. 7 � 1 __
9
5. 12 � 2 __ 7
6. 10 � 3 __ 5
7. 9 ___ 10
� 4
8. 5 __ 8 � 6 9. 1 __
3 � 15
10. 9 � 4 __ 7
11. 8 � 5 __ 9
12. 5 � 6 __ 7
13. 11 � 1 __ 9
14. 8 __ 9 � 10
15. 3 ___ 10
� 11
Problem Solving and Test Prep
16. Lloyd feeds his cats 2 _ 9 of a 5 pound bag of cat food each day. How many pounds of food does Lloyd feed his cats daily?
17. Kyra uses 3 _ 5 of a roll of yarn for each scarf she makes. How many rolls of yarn does she need to make 4 scarves?
18. Pedro used 2 _ 3 of a 33 ounce bottle of soap to wash his mother’s car. How many ounces of soap did Pedro use?
A 22 ounces
B 20 ounces
C 28 ounces
D 30 ounces
19. Shyla bought 5 gallons of paint for her fence. She used 6 _ 7 of the paint. How many gallons of paint did Shyla use?
A 4 1 __ 2 gallons
B 3 6 __ 7 gallons
C 4 gallons
D 4 2 __ 7 gallons
Name Lesson 10.3
PW61
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Multiply with Mixed NumbersFind the product.
1. 5 � 4 1 __ 2
2. 2 � 1 3 __ 5
3. 8 � 2 1 __ 2
4. 2 1 __ 6 � 2 __
7
5. 1 3 __ 7 � 9
6. 2 1 __ 2 � 1 __
3
7. 1 1 __ 4 � 2 __
5
8. 7 � 4 __ 5 9. 3 � 9 ___
10
10. 1 1 __ 3 � 3 __
7
11. 2 __ 3 � 1 1 __
7 � 2 1 __
4
12. 1 3 __ 5 � 1 1 __
3 � 3 ___
10
13. 1 5 __ 7 � 1 __
3 � 3 __
5
14. 9 ___ 10
� 1 1 __ 4 � 2 1 __
2
Problem Solving and Test Prep
15. Alejandro has 7 1 _ 3 pounds of flour. He uses 3 _ 4 of the flour to make bagels. How many pounds of flour did he use?
16. Isabel has 2 1 _ 2 gallons of scarlet paint. She uses 2 _ 3 of it to paint her dining room. How many gallons of paint did Isabel use?
17. Kim hiked 5 2 _ 3 miles on Saturday. On Sunday, she hiked 2 _ 5 as much. How many miles did Kim hike on Sunday?
A 2 4 ___ 15
B 3
C 2 11 ___ 12
D 4 1 __ 4
18. Joshua danced for 3 1 _ 2 hours on Monday. On Friday, he danced for 3 _ 4 as long. How many hours did Joshua dance on Friday?
A 3 1 __ 9 B 2 3 __
4
C 2 5 __ 8 D 1 9 ___
10
Name Lesson 10.4
PW62 Practice
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Model Fraction DivisionWrite a division number sentence for each model.
1.
2.
3.
4.
Use fraction bars to find the quotient.
5. 2 __ 9 � 1 __
6
6. 3 ___ 10
� 1 __ 4
7. 1 __ 4 � 1 __
8
8. 5 ___ 12
� 2 __ 7
9. 3 ___ 11
� 1 __ 4
10. 1 __ 2 � 1 ___
10
11. 4 __ 7 � 2 __
3
12. 1 � 1 __ 5
13. 3 � 3 __ 7
14. 6 � 4 __ 9
15. 5 � 1 __ 4
16. 5 __ 7 � 2 __
5
17. 7 ___ 10
� 1 __ 6
18. 4 � 1 __ 8
19. 2 � 1 __ 6
20. 8 � 1 __ 3
21. 5 __ 9 � 1 __
7
22. 8 ___ 11
� 1 __ 4
23. 2 � 1 __ 2
24. 4 � 1 __ 4
1
15
14
12
112
13
16
1
Practice PW63
Name Lesson 10.5
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Divide Whole Numbers by FractionsFind the quotient. Write it in simplest form.
1. 1 � 5 ___ 12
2. 2 � 1 __ 2
3. 7 � 2 __ 5 4. 9 � 1 __
3
5. 6 � 3 __ 7
6. 4 � 1 __ 6
7. 3 � 7 __ 9
8. 8 � 5 ___ 12
9. 7 � 5 __ 6
10. 10 � 3 __ 5
11. 5 � 1 __ 4
12. 12 � 1 __ 3
13. 6 � 1 __ 3
14. 9 � 3 __ 4
15. 3 � 3 ___ 10
Problem Solving and Test Prep
16. Students are painting the set for the community theater’s upcoming play. It takes the students 3 hours to paint 2 _ 5 of the set. If they spend the same amount of time painting each section, how many hours will it take the students to paint the whole set?
17. Gerard is cleaning a sculpture garden. He has 2 statues left to clean. It takes him 2 hours to clean 1 _ 3 of the first statue. If he spends the same amount of time cleaning each statue, how many hours will it take Gerard to clean both statues?
18. Henry cut a 10 foot log into 9 __ 10 foot pieces of firewood. How many pieces of firewood did Henry cut the log into?
A 10
B 11 1 __ 9
C 12 1 __ 3
D 9 5 __ 9
19. Melanie cut 5 feet of pretzel dough into 1 _ 3 foot pieces. How many pieces did Melanie cut the dough into?
A 12
B 15
C 18
D 20
PW64
Name Lesson 10.6
Practice
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Divide FractionsWrite a division sentence for each model.
1.
2.
Divide. Write the answer in simplest form.
3.
3 __ 8 � 5 ___
12
4.
5 __ 7 � 1 __
3
5.
6 __ 9 � 2 __
5
6.
7 ___ 10
� 3 __ 8
7.
2 1 __ 4 � 2 __
5
8.
3 1 __ 2 � 5 __
9
9.
2 1 __ 5 � 1 1 __
4
10.
5 ___ 12
� 3 __ 7
11.
4 __ 9 � 3 __
8
12.
1 2 __ 3 � 1 __
5
Problem Solving and Test Prep
13. Bruce has 8 1 _ 2 feet of lumber to make part of the set for a school play. Each set part needs to be 1 _ 4 of a foot tall. How many set parts can Bruce build?
14. Cory has 10 1 _ 2 feet of paper to make banners. Each banner is 3 _ 4 of a foot long. How many banners can Cory make?
15. Georgia can read 10 1 _ 2 pages in 1 _ 4 of an hour. How fast can she read in pages per hour?
A 45 pages per hour
B 35 1 __ 2 pages per hour
C 42 pages per hour
D 40 1 __ 3 pages per hour
16. Lila can walk 2 3 _ 4 miles in 1 1 _ 4 hours. How fast can she walk in miles per hour?
A 2 1 __ 5 miles per hour
B 3 1 __ 3 miles per hour
C 2 miles per hour
D 1 3 __ 4 miles per hour
Practice PW65
Name Lesson 10.7
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Problem Solving Workshop Skill: Multistep Problems
Problem Solving Skill PracticeDescribe the steps required to solve the problem. Then solve.
1. Maggie has 36 yards of fabric to make robes for the choir. She will use 3_4 of the fabric to make choir robes. Each robe will need 3_4 yards of fabric. She will make 1_3 of the robes today. How many robes will Maggie make today?
2. Diego has 15 yards of ribbon. He will use 2_5 of the ribbon to make bows for some costumes. Each bow will be made with 1_3 yard of ribbon. Diego will make 5_6 of the bows today. How many bows will Diego make today?
Mixed Applications Practice 3. Ronald has 12 gallons of paint to
paint the set for the play. He will use 3_5 to paint the walls. He will paint 1_2 the walls today. How much paint will Ronald use today?
4. Use Data Tickets to the jazz concert cost $12.00 for reserved seats and $15.00 for walk-ins. Of all of the walk-ins, 3_4 of them paid in cash. How much money did the theater earn from walk-in tickets? How much of that was cash?
5. Use Data The theater seats 300 people. How many seats were not sold for the musical? What fraction of the total seats available for the musical were sold as walk-in tickets? If reserved seats cost $12.50, how much did the theater make from reserved seats to the musical?
Tickets Sold for Events at the TheaterEvent Reserved Seats Walk-ins
Jazz Concert 185 48
Musical 255 30
Art Lecture 100 25
Play 210 16
Name Lesson 10.8
PW66 Practice
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Round DecimalsRound each number to the place of the underlined digit.
1. 54.247
2. 0.109
3. 7.044
4. 12.581
5. 0.003
6. 4.659
7. 8.906
8. 0.981
9. 23.132
10. 3.496
Round to the nearest tenth of a dollar and to the nearest dollar.
11. $0.78
12. $1.24
13. $0.11
14. $25.54
15. $13.49
16. $0.92
17. $2.95
18. $6.33
19. $20.02
20. $19.59
Problem Solving and Test PrepUSE DATA For 21–22, use the graph at the right.
21. Round the salt content of mozzarella cheese to the nearest tenth of a gram.
22. Which cheese has a salt content of 0.17 when rounded to the nearest hundredth of a gram?
23. Greta rounded 6.488 pounds to 6.49 pounds. To which place did Greta round?
A ones
B tenths
C hundredths
D thousandths
24. Neil rounded 9.135 pounds to 9.1 pounds. To which place did Neil round?
A ones
B tenths
C hundredths
D thousandths
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PracticePW67
Name Lesson 11.1
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Add and Subtract DecimalsFind the sum or difference.
1. 5 � 0.9
_
2. 11.7 � 3.04
__
3. 12.67 � 18.5
__
4. 16.08 � 3.49
__
5. 18.394 � 15.602
__
6. $32.44 � $4.78
__
7. 0.45 � 0.071
__
8. 0.868 � 0.23
__
9. 17.645 � 11.268
__
10. 9.46 � 0.5
__
11. $25.73 � $15.48
__
12. 8 � 4.091
__
13. 0.12 � 1.095
__
14. 1.304 � 1.239
__
15. 0.49 0.561
� 2.7
16. 24.006 � 2.73
__
17. 8.18 0.517
� 1.304
18. 0.1 � 0.025
__
19. 0.775 5.31
� 3.016
20. 0.003 1
� 9.44
Problem Solving and Test Prep
21. Until the 2002 Olympics, the record luge speed was 85.38 miles per hour. Tony Benshoof broke that record with a speed of 86.6 miles per hour. By how many miles per hour did Tony Benshoof exceed the record?
22. Beth and her grandmother paid $23.00 for tickets to a play. An adult ticket costs $6.50 more than a child’s ticket. What was the cost of Beth’s ticket?
23. Lynne buys a meal and a milk at the school cafeteria. If Lynne pays with a $5 bill, how much change should she receive?
A $1.06
B $1.55
C $2.96
D $3.94
24. Tim buys a daily planner and 1 pen at the school store. He pays with four $5 bills. How much change should Tim receive?
A $9.76
B $9.86
C $10.24
D $16.74
School CafeteriaItem Price
meal $3.45
fruit $0.80
milk $0.49
School StoreItem Price
notebook $4.55
12 pencils $2.14
1 pen $1.29
daily planner $8.95
Name Lesson 11.2
Practice
Name Lesson 11.2
PW68
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Name Lesson 11.3
PracticePW69
Estimate Decimal Sums and DifferencesEstimate by rounding.
1. 6.71 �4.8
__
2. 10.238 � 7.842
__
3. 2.11 � 0.96
__
4. 14.54 � 7.35
__
5. 9.786 �8.914
__
6. 3.28 � 3.65
__
7. 9.276 6.419
�4.458
8. 0.63 � 0.31
__
9. 10.82 � 5.78
__
10. 1.53 � 0.15
__
11. 5.34 1.06
�2.68
12. 4.29 �3.334
__
13. 6.14 � 4.59
14. 12.3 � 2.85
15. 1.184 � 1.295
16. 8.72 � 5.43
17. 0.219 � 0.183
18. 3.64 � 0.58
19. 14.12 � 5.36
20. 15.41 � 4.96
Problem Solving and Test Prep
21. About how long would it take to listen to the 3 songs in the chart?
Top 3 Songs of 1956
Song Artist Playing Time (in minutes)
Hound Dog Elvis Presley 2.25
Long Tall Sally Little Richard 2.083
Blue Suede Shoes Elvis Presley 1.983
22. About how much longer is Elvis Presley’s recording of Hound Dog than his recording of Blue Suede Shoes?
23. Elise has $300 to buy school supplies for $81.90 and a winter coat for $177.29. About how much money will she have left?
A About $30
B About $40
C About $50
D About $55
24. Mario biked 8.48 miles on Monday, 6.33 miles, on Tuesday, 7.35 miles on Wednesday. About how far did Mario bike on the three days?
A About 16 miles
B About 18 miles
C About 20 miles
D About 22 miles
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Mental Math: Add and SubtractUse mental math to find the sum or difference.
1. 1.45 � 3.55
__
2. $12.25 $ 8.10
__
3. 8.3 0.93
� 1.70
4. $15.35 � $14.25
__
5. $10.56 $0.30
� $2.04
6. 5.30 � 2.27
__
7. $1.50 � $4.50
__
8. 11.91 � 1.41
__
9. 8.35 � 1.20
__
10. $57.45
� $7.05
__
11. 1.3 � 2.7 � 2.1
12. 8.70 � 2.65
13. 3.5 � 2.5 � 1.5
14. 2.25 � 1.50 � 3.25
15. 0.58 � 0.28
16. $16.85 � $1.05 � $1.10
17. 0.14 � 0.06 � 0.7 � 0.1
18. $8.42 � $2.45 � $1.08
19. $19.36 � $10.06
Problem Solving and Test PrepUSE DATA For 20–21, use the table below.
20. Some children and 1 adult paid a total of $16.50 for the bus tour. If all of them are members, how many children rode with the adult?
21. The Scott family are not members of the San Diego Zoo. The Scott family includes 2 adults and 3 children. Mr. Scott has only $10 bills in his wallet. How many $10 bills should he give to the clerk for his family to go on the bus tour?
22. Devlynne has $60. She is buying a tennis racket for $42.10. Which of the following amounts is the most Devlynne can spend on tennis balls?
A $17.00
B $18.00
C $27.00
D $28.00
23. Darien has $50. He is buying new shoes for $38.65. Which of the following amounts is the most Darien can spend on socks?
A $10.00
B $11.00
C $12.00
D $13.00
San Diego Zoo Bus Tour TicketsAdult Child
Members $8.50 $4.00
Non-members $10.00 $5.50
�
PW70 Practice
Name Lesson 11.4
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Practice
Problem Solving Workshop Skill:Estimate or Find Exact AnswerProblem Solving Skill PracticeTell whether you need an estimate or an exact answer. Then solve.
1. Serena is purchasing workout clothes in a sports store. Including tax, she is purchasing shoes for $41.66, socks for $3.49, gym shorts for $9.62, and a T-shirt for $7.84. Serena has only $10 bills in her wallet. How many $10 bills should she give to the cashier for all her purchases?
2. Alberto is purchasing a basketball for $32.24 and a backboard with rim for $118.24. Both prices include tax. He gives the cashier eight $20 bills. How much change should Alberto receive?
3. Jessa needs $140 to buy a bicycle. She saves $10 each week. She has already saved $60. How many weeks from now can Jessa buy the bicycle?
4. The apples Carl wants to buy range in weight from 0.8 pounds to 1.2 pounds. How many pounds will 12 apples weigh?
Mixed Applications
5. Tom has 21 flowering plants in white, pink, and lavender flowers. He has 2 more pink flowering plants than he has lavender flowering plants. What is the greatest possible number of white flowering plants that Tom has?
6. At noon, the temperature was 58°F. In the next hour, the temperature rose 2°. The hour after that, it rose 4°. During the following hour the temperature rose 6°, and the hour after that, it rose 8°. What was the temperature at 1:00 P.M.?
7. Each chicken has 2 legs, and each cow has 4 legs. How many legs do 9 chickens and 23 cows have?
8. Pose a Problem Look at Problem 6. Change the beginning temperature in the problem. Then solve it.
Name Lesson 11.5
PracticePW71
Name Lesson 11.5
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Model Multiplication by a Whole NumberComplete the multiplication expression for each model. Find the product.
1.
� 0.34 �
2.
4 � �
Use hundredths models to find the product.
3. 0.27 � 6 � 4. 4 � 0.33 �
Find the product
5. 0.08 � 5
6. 0.29 � 4
7. 0.17 � 6
8. 0.41 � 3
9. 3 � 0.73
10. 5 � 0.57
11. 0.84 � 3
12. 0.26 � 8
13. 7 � 0.31
PW72 Practice
Name Lesson 12.1
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Algebra: Patterns in Decimal Factors and ProductsUse patterns to the find the products.
1. 2.67 � 10 �
2.67 � 100 �
2.67 � 1,000 �
2. 1.789 � 10 �
1.789 � 100 �
1.789 � 1,000 �
3. 0.409 � 10 �
0.409 � 100 �
0.409 � 1,000 �
Multiply each number by 10, 100, 1,000, and 10,000.
4. 0.8
5. $3.99
6. 6.014
Problem Solving and Test PrepUSE DATA For 7–8, use the table below.
7. How many Earth years is equal to 10 years on Jupiter?
8. How many Earth years is equal to 1,000 years on Mercury?
9. All paperback books at a library are on sale for $1.98 each. How much will 10 paperbacks cost?
A $9.80 C $19.98
B $19.80 D $198.00
10. A blank CD costs $0.36. How much will 100 blank CDs cost?
Length Of Planet YearPlanet Length Of Year
Mercury .241 Earth Years
Venus .615 Earth Years
Jupiter 11.862 Earth Years
Saturn 29.457 Earth Years
PW73 Practice
Name Lesson 12.2
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Model Multiplication by a DecimalUse the model to find the product.
1.
0.5 � 0.7 �
2.
0.3 � 0.6 �
3.
0.7 � 0.7 �
Make a model to find the product.
4. 0.1 � 0.4 � 5. 0.8 � 0.2 � 6. 1.3 � 0.9 �
7. 0.7 � 0.3 � 8. 0.6 � 0.6 � 9. 1.7 � 0.4 �
Find the value of n.
10. 0.6 � 0.7 � n
11. 0.5 � n � 0.45
12. n � 1.2 � 0.24
13. 0.3 � n � 0.39
Find the product.
14. 0.8 � 0.4 � 15. 0.3 � 0.3 � 16. 0.9 � 0.6 �
17. 1.4 � 0.5 � 18. 1.8 � 0.2 � 19. 1.1 � 0.1 �
PW74 Practice
Name Lesson 12.3
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Estimate Products Estimate the product.
1. 13 � 7.1
2. 2.5 � 6.4
3. 4 � $21.89 4. 9.6 � 1.3
5. $7.76 � 8
6. 32.51 � 16
7. 4.9 � 2.8 8. 3 � $50.89
9. $8.4 � 1.66
10. 10.31 � 9.7
11. $74.21 � 6
12. 5.4 � 8.3
13. 2.84 � 14.67
14. $6.31 � 9
15. 57.45 � 3.81
16. 4.44 � 7.67
Problem Solving and Test Prep 17. A rescued Californian condor has a
wingspan of 3.1 meters. A rescued albatross has a wingspan 1.19 times as much. Estimate the wingspan of the albatross.
18. A bird watching group in Mendocino County spotted a pink-footed shearwater. The bird’s wingspan was 1.38 times greater than the group’s 0.84-meter measuring tool. About how long was the bird’s wingspan?
19. A pet store has 24 birds that each eat 2.28 grams of seed per day. About how much seed does the pet store need every day?
A 12 grams
B 24 grams
C 36 grams
D 48 grams
20. A bird rescue group in Eureka, CA, nursed a baby sandpiper back to health. When the group rescued the bird it weighed 0.3 lb. When they released the bird, it weighed 9.7 times as much. About how much did the bird weigh when it was released?
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PracticePW75
Name Lesson 12.4
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Place the Decimal PointEstimate. Then find the product.
1. 34 � 2.1
__
2. 0.3 � 0.8
__
3. 0.7 � 0.9
__
4. 4.4 � 0.6
__
5. 5.5 � 6.2
__
6. 7.1 � 7.1
__
7. 26.3 � 5.4
__
8. 1.78 � 3.2
__
9. 44.7 � 2.5
__
10. $9.06 � 0.63
__
11. 352.4 � 0.46
12. 0.129 � 22.3
13. 7.035 � 61
14. $8.99 � 12
Problem Solving and Test Prep
15. FAST FACT The fastest marine mammal, the killer whale, can swim 35 miles per hour. How many miles can the whale swim in 10.25 hours?
16. Brittany earns $6.25 an hour working at the concession stand. How much does she earn in 7.5 hours?
17. A Ross seal at the aquarium weighs 430.92 pounds. A leopard seal weighs 2.3 times as much. How much does the leopard seal weigh?
A 99.11 pounds
B 187.36 pounds
C 991.16 pounds
D 9,911.16 pounds
18. A bottlenose dolphin eats an average of 155.75 pounds of fish per week. How much does the dolphin eat in 4.5 weeks?
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PW76 Practice
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Zeros in the ProductFind the product.
1. 0.12 � 0.8
__
2. $13.00 � 0.007
__
3. 0.006 � 8.1
__
4. 0.44 � 0.05
__
5. 0.02 � 0.04
__
6. 0.004 � 0.37
__
7. 0.09 � 0.6
__
8. 1.3 � 0.02
__
9. 6.6 � 0.005
10. $2 � 0.04
11. 0.07 � 0.3
12. 0.007 � 0.09
13. 1.003 � 0.02
14. 0.43 � 0.088
15. $5.75 � 0.009
16. 8.01 � 0.01
Problem Solving and Test Prep
17. Dustin has 8 guitar picks that are each 0.009 of an inch thick. What is the total height of the guitar picks if they are stacked on top of each other?
18. FAST FACT The smallest fish recorded is the stout infantfish at 0.25 inch long. How long is 0.05 of the fish?
19. A Brussels sprout weighs 0.0025 of a kilogram. How many kilograms do 4 sprouts weigh?
A 0.001 kilogram
B 0.01 kilogram
C 0.1 kilogram
D 1 kilogram
20. A light guitar string is 0.016 of an inch thick. A heavy guitar string is 2.25 times as thick. How thick is the heavy string?
A 0.036 in.
B 0.36 in.
C 3.6 in.
D 36 in.
Name Lesson 12.6
PracticePW77
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Problem Solving Workshop Skill: Choose the Operation
Problem Solving Skill PracticeTell which operations you would use to solve. Then solve the problem.
1. Elena had $7.50 to take to the San Francisco Aquarium and her mother gave her an additional $15. Elena paid $6.50 for admission, $4.75 for lunch and $3.95 for souvenirs. How much money did Elena have left?
2. Each of the 32 students at the aquarium was allowed to take goldfi sh home. There were 96 goldfi sh. Each student took home the same number of goldfi sh. If each student paid $0.75 per fi sh for food, how much money did each student spend?
Mixed ApplicationsUSE DATA For 3–4 use the table below.
3. How much will it cost for two children and three adults to take a 12-hour fishing trip?
4. Mr. Chopra paid $180 for a 6-hour fishing trip. Including himself, how many adults and children did Mr. Chopra pay for?
5. FAST FACT The penny weighs 2.5 grams, the nickel weighs 5 grams and the dime weighs 2.268 grams. If you have eight pennies, four nickels, and six dimes in your pocket, then how much weight are you carrying?
Captain Jack’s Fishing Adventure
Age Length Of Trip Cost
Children 6 Hours $35
Children 12 Hours $65
Adults 6 Hours $55
Adults 12 Hours $55
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PW78 Practice
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Divide Decimals by Whole NumbersUse the decimal models below to model the quotient.
Record your answer.
1. 1.8 � 3 � 2. 1.2 � 4 �
3. $1.52 � 4 � 4. 0.24 � 4 �
5. 1.5 � 5 � 6. 0.63 � 9 �
7. 0.36 � 3 � 8. $1.25 � 5 �
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PW79 Practice
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Estimate QuotientsFind two estimates for the quotient.
1. 1.38 � 6
2. 2.93 � 9
3. 458.2 � 7
4. 324.9 � 5
5. 30.4 � 39
6. 83.4 � 88
7. 6.271 � 71
8. 2.874 � 89
Estimate the quotient.
9. 47.8 � 7
10. 0.518 � 9
11. 275.8 � 5
12. 34.21 � 3
13. 0.726 � 8
14. 579.2 � 8
15. 53.19 � 92
16. 138.9 � 19
17. 8.23 � 43
18. 46.3 � 72
19. 297.4 � 33
20. 27.49 � 29
Problem Solving and Test Prep21. During an 8-hour storm, it snowed
4.2 inches. Estimate the average hourly snowfall during this storm.
22. The greatest snowfall for one day was measured in Georgetown, Colorado on December 4, 1913. It snowed 63.0 inches in 24 hours. Estimate the hourly snowfall during this storm.
23. Which best shows how you can use compatible numbers to estimate 35.4 � 8?
A 32 � 8
B 35 � 8
C 38 � 9
D 40 � 8
24. Which best shows how you can use compatible numbers to estimate 58.3 � 6?
A 54 � 6
B 56 � 7
C 58 � 6
D 60 � 6
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PW80
Name Lesson 1.1Name Lesson 13.2
Practice
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Divide Decimals by Whole NumbersEstimate the quotient. Then divide.
1. 3 � � 77.7 2. 8 � � 0.704 3. 7 � � 5.95 4. 69 � � $92.46
5. 3 � � 81.3 6. 36 � � 46.44 7. 49 � � 1.274 8. 21 � � 77.28
9. 7.83 � 9
10. $158.22 � 54
11. 2.208 � 8
12. 656.6 � 67
Problem Solving and Test Prep
13. In 1990, Tom Jager set a swimming record in a 50-meter race. He swam at a rate of 137.4 meters per minute. How far did Jager swim per second at this speed?
14. The mako shark can swim more than 0.09 miles per minute for short amounts of time. About how far can the mako shark travel in one second at this speed?
15. Which is the quotient of 529.2 � 18?
A 0.294
B 2.94
C 29.4
D 294
16. The Gibsons pay $100.00 for a pass to Playland. If they go 80 times, what is the cost of each visit to Playland?
A $125
B $12.50
C $1.25
D $0.125
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PracticePW81
Name Lesson 13.3
Practice
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Name Lesson 13.4
Divide Decimals by DecimalsUse the decimal shown in the model to write a division problem
with a decimal divisor. Then find the quotient.
1.
2.
Use a model to find the quotient.
3. 0.54 � 0.06
4. 0.9 � 0.3
5. 0.14 � 0.07
Use fractions to find the quotient.
6. 2.4 � 0.4
7. 2.1 � 0.3
8. 5.6 � 0.8
9. 4.8 � 1.2
10. 0.42 � 0.07
11. 0.84 � 0.07
12. 0.45 � 0.05
13. 0.36 � 0.06
14. 2.1 � 0.7
15. 0.24 � 0.12
16. 3.6 � 1.2
17. 2.8 � 0.4
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PW82 Practice
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Decimal Patterns with Powers of 10Complete the pattern.
1. 0.54 � 0.09
�
� �
2. 7 � 0.05
�
� �
3. 0.25 � 0.5
�
� �
Divide.
4. 9 � 0.3
5. 0.28 � 0.07
6. 0.12 � 0.4
7. 0.16 � 0.02
8. 0.36 � 0.03
9. 0.54 � 0.9
10. 8 � 0.04
11. 0.56 � 0.8
12. 4 � 0.2
13. 0.9 � 0.03
14. 0.72 � 0.8
15. 0.48 � 0.04
16. 0.8 � 2
17. 12 � 0.03
18. 6.3 � 9
19. 0.42 � 0.7
Problem Solving and Test Prep
20. Kristen walked 0.75 mile home from school in 0.5 hour. What was Kristen’s average speed in miles per hour?
21. Robert drove 10 miles from his house to his sister’s house in 0.25 hour. What was Robert’s average speed in miles per hour?
22. What is the quotient for 0.81 � 0.09?
A 9,000
B 900
C 9
D 0.9
23. What is the quotient for 0.06 � 0.6?
A 100
B 10
C 1
D 0.1
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PW83
Name Lesson 13.5
Practice
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Division of Decimals by DecimalsRewrite the problem so it has a whole number divisor.
1. 0.17 � � 4.165
2. 4.8 � � 17.76
3. 0.04 � � 5.34
4. 2.7 � � 0.243
Write the quotient correctly.
5. 0.128 � 1.6 � 8
6. 27 � 0.12 � 225
7. 10.8 � 0.18 � 6
8. $1.17 � 1.3 � $9
Divide. Use multiplication to check your answer.
9.
2.1 � � 4.83
10.
14 � � 109.2
11.
0.36 � � $45
12.
2.1 � � 0.168
Problem Solving and Test Prep13. Delilah hikes 5.98 miles along the
Pacific Coast Trail. She hikes for 4.6 hours. What is Delilah’s average speed?
14. Oliver made 8.4 pounds of trail mix. He put it all in 0.24-pound bags so 7 people would have 1 bag each day. How many days will the trail mix last?
15. Which problem has the same quotient as 1.058 � 0.23?
A 1,058 � 23
B 105.8 � 23
C 10.58 � 23
D 0.1058 � 2.3
16. Tom’s tomato plant grew 8.4 inches when he was on vacation. It grew an average of 0.7 inch a day. How many days was Tom on vacation?
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PracticePW84
Name Lesson 13.6
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Name Lesson 13.7
Problem Solving Workshop Skill: Evaluate Answers for Reasonableness
Problem Solving Skill Practice 1. Luis has 4 bottles of grape juice. Each
bottle contains 64.3 ounces of juice. Luis says he has a total of 250 ounces of grape juice. Ana says Luis has a total of 205 ounces of grape juice. Use estimation to find whose answer is reasonable. Explain.
2. Angela bought 1.65 pounds of green peppers, 0.78 pound of cucumbers, a squash that weighs 4.32 pounds, and a head of lettuce that weighs 0.33 pound. Angela says she bought 7.08 pounds of vegetables. Tom says that Angela bought 70.8 pounds of vegetables. Use estimation to find whose answer is reasonable. Explain.
Mixed ApplicationsUSE DATA For 3–5, use the table.
3. Hideko says 1 U. S. dollar equals 27.73 Russian rubles. David says 1 U. S. dollar equals 2.773 Russian rubles. Whose answer is reasonable?
4. Suppose you exchange 200 U. S. dollars for EU euros. How many euros will you receive?
5. Suppose you exchange 50 U. S. dollars for Japanese yen. How many yen will you receive?
Currency Exchange Rates (April 2006)
U. S. Dollars Currency
3 19.179 Australian Dollars
4 3.3 European Union (EU) Euros
6 706.8 Japanese Yen
14 388.22 Russian Ruble
18 139.662 Hong Kong Dollars
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PracticePW85 Practice
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Write ExpressionsWrite an expression for each situation.
If you use a variable, explain what the variable represents.
1. Aletha earns $6.40 per hour.
2. Riki is 8 years older than Mitchell.
3. Ed spent $4 of the money Vi gave him.
4. Marie has 36 party favors to share evenly among 9 guests.
5. The length of a flower garden is 2 meters more than 3 times its width.
6. Arnold has 11 more stamps than he has envelopes.
Problem Solving and Test Prep
7. The tables in a cafeteria seat up to 8 people each. How many can t tables seat?
8. Cam’s dog weighs 6 pounds more than 4 times the weight (w) when he was born. How much does he weigh now?
9. The height of a plant is 11.25 inches taller than its height (h) last month. Which expression describes this situation?
A 11.25 � h
B 11.25 � h
C 11.25h
D 11.25 � h
10. Tickets to a matinee movie theater cost n dollars each. Which expression describes how much 4 tickets cost?
F 4 � n
G n � 4
H 4n
J n � 4
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PW86 Practice
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Evaluate ExpressionsEvaluate each expression.
1. 27 � 15 � 3
2. 12 � 4 � 6
3. (17 � 8) � (2 � 8)
4. 60 � (10 � 4)
5. (3 � 12) � 3 � 4
6. 6 � 4 � 2 � 3
7. 30 � (2 � 3) � 1
8. 42 � 18 � 6 � 3
Evaluate the algebraic expression for the given value.
9. 31 k if k � 4
10. 2r � 9 if r � 5.5
11. 21 � 3c if c � 7
12. 64 � 4 � t
if t � 4
13. 8 � d � 7 if d � 9
14. 9 � (f � 1) if f � 4
15. 5j � 2 � 1 if j � 12
16. 3r � 4 � 2 if r � 7
17. 14 � (12 � y � 2) if y � 3
18. 3 (x � 1) � (3 � x) if x � 2
19. 18 � 1 � 5y � y if y � 0.2
20. 4 (p � 6) � p if p � 1 1 _ 2
21. n � 1 _____ 7 � 2n if n � 20
22. m � 6m ___
9 if m � 4.5
Problem Solving and Test Prep23. To attract butterflies to her garden, Andi
bought 6 blanketflowers at $4 each and 8 purple coneflowers at $7 each. How much did she spend?
24. A computer room has 16 computers. Two students work at each computer. If 5 computers are not being used, how many students are in the room?
25. If k � 9, what is the value of 2k � 10?
A 1
B 8
C 18
D 19
26. If r � 2, what is the value of 26 � 12 � r � 1?
A 8
B 19
C 21
D 22
Name Lesson 14.2
PracticePW87
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Write EquationsWrite an equation for each. Tell what the variable represents.
1. Paulina has a photo album with 60 photos. Each page contains 5 photos. How many pages does the album have?
2. Jarrod practiced the trumpet and piano for 45 minutes. He practiced piano for 15 minutes. How long did he practice the trumpet?
Write a problem for each equation. Tell what the variable represents.
3. 7t � 63
4. 6 � b � 11
Problem Solving and Test Prep 5. Jamie has $130 in her savings account.
She wants to buy a bike for $225. How much more money does Jamie need to buy the bike? Write an equation with a variable to represent the problem.
6. What if Jamie already bought the bike and has $29 left in her account. How much money did she have before buying the bike? Write an equation with a variable to represent the problem.
7. The Amsco building is 135 feet tall. The Tyler building is 30 feet shorter than the Amsco building. What is the Tyler building’s height? Write an equation to represent this problem.
A 135 � h � 30
B h � 135 � 30
C 135 � 30 � h
D h � 135 � 30
8. Tam had downloaded 25 songs for her MP3 player. She then downloaded some more songs. She now has 31 songs for her MP3 player. How many songs did Tam download? Write an equation to represent this problem.
A 25 � s � 31
B s � 31 � 25
C s � 25 � 31
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Name Lesson 14.3
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Solve EquationsWhich of the numbers 2, 9, or 12 is the solution of the equation?
1. k � 8 � 72
2. 36 � r � 18
3. 7 � c � 19
4. 16 � w � 14
5. g � 1 � 8
6. m � 3 � 3
7. 9 2 __ 3 � b � 11 2 __
3
8. p � 2.5 � 4.8
Use mental math to solve each equation. Check your solution.
9. h � 11 � 21
10. c � 59 � 161
11. 400 � q � 10
12. v � 5 � 4.5
13. 16 � f � 64
14. 9.4 � a � 10.5
15. u � 6.2 � 12.8
16. 24 � z � 12.4
17. 10 1 __ 2 � y � 14 3 __
4
18. x � 9 1 __ 2 � 4 1 __
2
19. m � 3 __ 4 � 28
20. u � 6 2 __ 3 � 20
21. 5.4 � p � 0.27
22. 1.9 � j � 22.4
23. t � 12 � 6
24. n � 7.2 � 1.5
Problem Solving and Test Prep
25. The average one-year old male bear is 4 times the weight of a 4-month old cub. What is the weight of the cub?
26. A one-year-old female cub weighs 12 pounds less than the average one-year-old male cub. How much does the female cub weigh?
27. The equation 3y � $42 shows the cost of renting a canoe for 3 hours. How much does it cost per hour?
A $14 C $45
B $39 D $126
28. What value of n makes this equation true?
8n � 40 � 8
A 0 C 6
B 5 D 8
Average Weight for a Male Black Bear
One-year old 70
Adult 250
PW89 Practice
Name Lesson 1.1Name Lesson 14.4
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Use the Distributive PropertyUse the Distributive Property to find the value of the expression.
1. 6 � (d � 7) if d � 30
2. 2 � (9 � n) if n � 20
3. 9 � (k � 1) if k � 200
4. 4 � (25 – j) if j � 1
5. 8 � (p � 7) if p � 40
6. 5 � (20 � m) if m � 2
7. 7 � (50 � w) if w � 3
8. 4 � (90 – v) if v � 3
9. 3 � (q � 60) if q � 7
What value makes the equation true?
10. 8 � 32 � (8 � t) � (8 � 2)
11. 5 � 37 � (5 � 40) � (5 � n)
12. 4 � 89 � (4 � 80) � (4 � w)
13. 6 � 48 � (6 � z) � (6 � 8)
Problem Solving and Test Prep 14. The zoo charges a $14 entry fee.
Write a number sentence using the Distributive Property to show how much a group of 8 people will have to pay.
15. A land tortoise moves at about 0.5 miles per hour. Write a number sentence using the Distributive Property to show how far a land tortoise could travel if it kept moving for 72 hours.
16. What value for m makes this equation true?
6 � m = (6 � 10) + (6 � 5)
A 5
B 10
C 15
D 20
17. What value for k makes this equation true?
9 � 94 = (9 � k) + (9 � 4)
A 4
B 9
C 40
D 90
PracticePW90
Name Lesson 14.5Name Lesson 14.5Lesson 14.5
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Mental Math: Use the propertiesUse properties and mental math to find the value.
1. 12 � 18 � 39
2. 53 � 64 � 37
3. 6 � 103
4. (20 � 4) � 3
5. 41 � 29 � 46
6. 26 � 43 � 34
7. 6 � 15 � 2
8. 4 � 180
9. 72 � 18 � 32
10. 7 � 4 � 15
11. 34 � 6
12. 33 � (37 � 32)
13. 42 � 7
14. 29 � 46 � 51
15. 5 � 6 � 12
16. 62 � 4
17. 36 � 18 � 24
18. 12 � 6 � 4
Problem Solving and Test Prep
19. Fast Fact A group of sea lions together in the water are called a raft. In a raft, sea lions can safely rest together. During one afternoon, a research team saw 4 rafts of sea lions. Each raft had 16 sea lions in it. How many sea lions did the research team see?
20. Tell which property you would use to mentally find the value of 5 � 4 � 45. Then find the value.
21. There are 6 shelving units containing 5 shelves each. Each shelf holds 35 DVDs. Find the total number of DVDs on the shelving unit.
A 210
B 450
C 950
D 1,050
22. Tickets for the movies cost $13 each. James’ family buys 6 tickets. Explain how to use mental math to find the total cost of the movie tickets.
PW91
Name Lesson 14.6
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Practice
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Problem Solving Workshop Strategy:Write an EquationProblem Solving Strategy PracticeWrite and solve an equation for each problem.
1. Mark Kelly spent 288 hours in space. This is 8 times the amount of time a new astronaut is scheduled to spend in space. How long, in hours, will a new astronaut spend in space?
2. Geri has worked at ProWorks Company 26 years longer than Miguel. Geri has worked 32 years. How long has Miguel worked at ProWorks Company?
3. Mrs. Gray’s class has 3 times as many girls as boys. There are 24 students in her class. How many boys are there?
4. Hannah spent 6 hours practicing her violin last week. This was 4 times the amount of time Derek spent. How long did Derek practice?
Mixed ApplicationsFor 5–6, use the table.
5. Use Data Yelena Vladimirovna Kondakova, a Russian cosmonaut, spent 32 fewer days in space than Susan Helms. How many days did Yelena spend in space?
6. Use Data How many more days did Shannon Lucid spend in space than Peggy Whitson?
7. Valentina Vladimirovna Tereshkova, a Russian, was the first woman in orbit. She orbited Earth for 71 hours. How many full days was she in orbit?
8. Portia buys a book for $14.85. She pays with a $10 bill and a $5 bill. What is the fewest number of coins she gets back?
Women in Space
Name Days in Space
Shannon Lucid 223
Susan Helms 210
Peggy Whitson 184
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Name Lesson 14.7
Practice
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Name Lesson 15.1
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PracticePW93
Understand IntegersWrite the opposite of each integer.
1. �9
2. �12
3. �90
4. �6
5. �1
6. �17
7. �32
8. �41
9. �749
10. �5
11. �802
12. �5,426
Write the integer’s absolute value.
13. |�1|
14. |�1|
15. |�19|
16. |�508|
17. |�29|
18. |�11|
19. |�117|
20. |�79|
21. |�4|
22. |�30|
23. |�675|
24. |�404|
Problem Solving and Test Prep
25. Fast Fact The coldest temperature recorded in California happened in Boca. The temperature reached 45 degrees Fahrenheit below zero on January 20, 1937. Write the temperature as an integer.
26. Fast Fact The warmest temperature recorded in Alaska happened in Fort Yukon. The temperature reached 100 degrees Fahrenheit on June 27, 1915. Write the temperature as an integer.
27. Which integer is the opposite of �513?
A �513
B �315
C �315
D �513
28. Which integer represents 4 years from now?
A �4,000
B �4
C �4
D �4,000
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Name Lesson 15.2
PracticePW94
Compare and Order IntegersCompare. Write <, >, or = for each .
1. �7 �6 2. �90 �41 3. �12 �9 4. �18 �22
5. �7 �7 6. �56 �60 7. �19 �4 8. �54 �54
9. �3 0 10. �14 0 11. �26 �26 12. �865 �864
Order each set of integers from greatest to least.
13. �1, �1, �5
14. �3, 0, �7, �10
15. �5, �2, �1, �6
.
16. �7, �9, �4, 0
17. �4, 4, 3, �2
18. 6, �9, 1, �2
19. 5, �5, �6, 7
20. �8, 6, 0, �3
Problem Solving and Test Prep
USE DATA For 21–22, use the table.
21. The brotulid family of fish live around �7000 meters. In what zone does this fish live?
22. A viper fish thrives from �80 meters to �1600 meters. Name the zones this fish lives in.
23. Which integer is less than �27?
A �28
B �27
C �27
D �28
24. Which integer is greater than �8?
A �8
B �7
C �8
D �9
Zones of the OceansZone Name Range of depth (in meters)
Sunlight 0 to �200
Twilight �200 to �1,000
Midnight �1,000 to �4,000
Abyssal �4,000 to �6,000
Hadal �6,000 to �11,000
Name Lesson 15.2
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Name Lesson 15.3
PracticePW95
Model Integer AdditionUse counters to find the sum.
1. �8 � �9
2. �4 � �7
3. �6 � �5
4. �2 � �8
5. �7 � �3
6. �8 � �1
7. �9 � �9
8. �5 � �4
9. 0 � �6
10. �1 � �10
11. �7 � 0
12. �2 � �2
Use a number line to find the sum.
13. �2 � �7
14. �9 � �3
15. �1 � �4
16. �3 � �3
17. �5 � �2
18. �6 � �8
19. �7 � �1
20. �4 � �5
21. �3 � �6
Name Lesson 15.3
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PracticePW96
Name Lesson 15.4
Record Integer AdditionFind the sum.
1. �2 � �4
2. �8 � �1
3. �3 � �1
4. �7 � �6
5. �5 � �5
6. �2 � �2
7. �5 � �4
8. �4 � �6
9. �7 � 0
10. �8 � �2
11. �1 � �5
12. �5 � �3
13. �7 � �7
14. �9 � �7
15. �3 � �2
16. �7 � �8
17. �3 � �3
18. �6 � �8
19. �1 � �6
20. �5 � �2
21. �3 � �6 � �1
22. �2 � �9
23. �5 � �3
24. �7 � �7 � 0
25. �4 � �4 � �4
Problem Solving and Test Prep
26. An elevator is on the 15th floor. It goes up 7 floors and down 5 floors. What floor is the elevator on now?
27. An elevator is on the 21st floor. It goes down 3 floors, down 4 floors, and up 12 floors. What floor is the elevator on?
28. A submarine is 38 feet below sea level. Then it goes to a depth 21 feet lower than that. Which equation describes the depth where the submarine is now?
A �38 � �21 � �59
B �38 � �21 � �59
C �38 � �21 � �17
D �38 � �21 � �17
29. A fish is swimming 9 feet below the surface of a lake. Then it swims to a depth 4 feet above where it was first swimming. Which equation describes the depth where the fish is now?
A �9 � �4 � �13
B �9 � �4 � �13
C �9 � �4 � �5
D �9 � �4 � �5
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PracticePW97
Name Lesson 15.5
Model Integer SubtractionUse counters to find the difference.
1. �4 � �9
2. �4 � �3
3. �2 � �5 4. �3 � �5
5. �7 � �7
6. �5 � �2
7. �6 � �6 8. �5 � �1
9. 0 – �3
10. �6 � �3
11. �4 � 0 12. �1 � �1
Use a number line to find the difference.
13. �2 � �3
14. �1 � �3
15. �3 � �4
16. �4 � �4
17. �7 � �1
18. �4 � �8
19. �4 � �1
20. �2 � �3
21. �5 � �2
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Record Integer SubtractionFind the difference.
1. �6 � �3
2. �5 � �2
3. �4 � �3
4. �3 � �7
5. �2 – �2
6. �1 � �7
7. �5 � �5
8. �1 � �3
9. �6 � 0
10. �4 � �8
11. �6 � �6
12. �4 � �4
13. �1 � �1
14. �8 � �9
15. �5 � �3
ALGEBRA Complete the addition sentence.
16. �4 � �8 � �4 � 17. �6 � �1 � �6 � 18. �5 � �4 � �5 �
19. �9 � �9 � �9 � 20. �2 � �9 � �2 � 21. �3 � �8 � �3 �
Problem Solving and Test Prep
22. Loma was 7 feet below the entrance of a Moaning Cavern, a vertical cave. Then she descended another 22 feet. At that point, how far was she from the floor to the entrance of the cave?
23. Algebra Raoul is 8 feet above the entrance of Moaning Cave. About 5 minutes later, he is 31 feet below the entrance. How far down has he traveled?
24. An ant travels in an anthill from 1 inch above the ground to 4 inches below the ground. Which number represents how far the ant travels?
A 1 inch
B 3 inches
C 4 inches
D 5 inches
25. An ant travels in an anthill from 9 centimeters above the ground to 12 centimeters below the ground. Which number represents how far the ant travels?
A 3 centimeters
B 9 centimeters
C 12 centimeters
D 21 centimeters
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Name Lesson 15.6
PracticePW98
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Problem Solving Workshop Skill: Compare Strategies
Problem Solving Skill Practice
Draw a diagram or make a model to solve the problem.
1. On Thursday, the water level at Caspar, California, was 4 inches below sea level at low tide. At high tide, the water level was 31 inches above sea level. Express the change as an integer.
2. The water level at Stewarts Point, California, was 47 inches at high tide and it dropped 56 inches by low tide. What was the water level at low tide that day?
Mixed Applications
USE DATA For 3–4, use the table.
3. How many degrees difference are there between California’s low temperature and Washington’s low temperature?
4. Which of the states has the greatest range in temperature?
5. The sum of Florida’s coldest recorded temperature and Alaska’s coldest recorded temperature is �102ºF. Alaska’s coldest temperature is 98°F colder than Florida’s. What is Florida’s coldest recorded temperature?
6. Algebra Margaret has 400 feet of fencing for a horse corral. She wants to make it square. What will be the area of the corral?
Extreme Temperatures on the West Coast (in °F)
State High Low
Washington 118° –48°
Oregon 119° –54°
California 134° –45°
Name Lesson 15.7
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PracticePW99
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Understand PercentWrite a fraction and a percent to represent the shaded part.
1.
2.
3.
4.
5.
6.
Write a decimal and a percent to represent the shaded part.
7.
8.
9.
10.
11.
12.
Name Lesson 16.1
PW100 Practice
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Fractions, Decimals, and PercentsWrite each percent as a decimal and as a fraction in simplest form.
1. 10%
2. 45%
3. 30%
4. 26%
5. 18%
6. 59%
7. 82%
8. 67%
Write each fraction or decimal as a percent.
9. 1 __ 4
10. 0.29
11. 7 ___ 10
12. 0.60
13. 0.178
14. 7 __ 8
15. 0.058
16. 3 ___ 15
Problem Solving and Test Prep
17. California produces about 75% of the strawberries in the United States. What fraction of strawberries in the United States does California produce?
18. If you eat about 10 medium strawberries you will get 9% of the vitamin B6 you should have every day. What fraction of vitamin B6 do you still need for that day?
19. Susan washed 0.45 of her clothes. What percent of her clothes did she wash?
A 4.5%
B 45%
C 54%
D 55%
20. At the Corner Store, 85% of the shelves contain food. What fraction of the shelves contain food?
A 17 ___
20
B 3 ___ 20
C 20 ___
20
D 85 ___
85
Name Lesson 16.2
PW101 Practice
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Use a Number Line1. For 0.7, 60%, and 1 __
5 , write the letter that represents each amount on the number line.
For 2–7, make a number line. Then, locate each quantity on the number line.
2. 4 __ 5 3. 0.95 4. 21%
5. 0.30 6. 43% 7. 3 __ 5
Problem Solving and Test Prep 8. Mark walked 25% of a mile. Henry
walked 3 _ 5 of a mile. Who walked farther?
9. Arial is done with 72% of her homework. Steve is done with 0.85 of his homework. Who has more of their homework done?
10. Which of the following numbers has the least value?
0.34, 8%, 0.19, 1 __ 4
A 0.34
B 8%
C 0.19
D 1 __ 4
11. Which of the following numbers is the greatest?
9 ___ 10
, 17%, 0.71, 34.5%
A 9 ___ 10
B 17%
C 0.71
D 34.5%
0%
0 1
A50%
B C100%
12
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PW102 Practice
Name Lesson 16.3
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Model Percent of a NumberComplete. Then, use each model to find the percent of each number.
1. 30% of 40
10 counters represent 100%, or 40.
So, each counter represents 10%, or
30% of 40 �
2. 60% of 15 � of 15
60% of 15 �
Find the percent of each number. Use counters to solve.
3. 20% of 20
4. 75% of 24
5. 25% of 12
6. 50% of 14
7. 40% of 15
8. 30% of 50
9. 10% of 80
10. 80% of 90
Write each percent as a fraction. Then, use counters to find the
percent of each number.
11. 10% of 10
12. 90% of 20
13. 75% of 8
14. 40% of 25
15. 25% of 20
16. 30% of 10
17. 50% of 6
18. 20% of 30
19. 25% of 80
20. 75% of 32
21. 30% of 30
22. 60% of 70
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PW103
Name Lesson 16.4
Practice
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Percent ProblemsSolve each percent problem.
1. What is 80% of 35?
2. What is 4% of 40?
3. What percent of 25 is 5?
4. What percent of 150 is 60?
5. 3 is 2% of what number?
6. 43 is 50% of what number?
7. What is 75% of 124?
8. What is 20% of 66?
9. 15 is 25% of what number?
10. 9 is 30% of what number?
11. What percent of 100 is 10?
12. What percent of 88 is 66?
Problem Solving and Test Prep
13. Jessie is going to buy a new skateboard. She found a board that is $50. How much money will she save with a 20% discount?
14. John practices different types of skateboard tricks. He spends 10% of his practice time, or 3 minutes, doing kickflips, a type of trick. How many minutes does he practice in all?
15. Of the 30 students in class, 6 have skateboards. What percent of the class has skateboards?
A 6%
B 20%
C 28%
D 80%
16. Rita lands 80% of 15 jumps on her skateboard. How many jumps did she land?
A 3 jumps
B 5 jumps
C 12 jumps
D 15 jumps
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PW104 Practice
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Problem Solving Workshop Strategy:Make a GraphProblem Solving Strategy PracticeMake a graph to solve.
1. Out of the $100 that Sam spent on feed, 1 _ 5 was for his pigs, 10% was for his horses, 30% was for his goats, and 2 _ 5 was for his sheep. Which animals did he spend the most money on? How much did he spend?
2. Jacob asked 100 people at the fair to name their favorite animal. Thirty-one said pig, 22 said sheep, 17 said cow, and 30 said goat. Which animal did most people choose? How many more people chose that animal than the least favorite animal?
Mixed Strategy PracticeUSE DATA For 3–4, use the table.
Make a graph to solve.
3. What percent of people visiting the fair liked the Ferris-Wheel best?
4. What are the most and least favorite rides? What is the difference in percentage between those that chose the most favorite and those that chose the least favorite rides?
Favorite Ride At The FairRide Number of People
Ferris-Wheel 20
Merry-Go-Round 5
Bumper Cars 15
Tilt-A-Whirl 10
What is your favorite animal at the fair?What Sam Spent on Feed
Favorite Ride at the Fair
Practice PW105
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Compare Data SetsFor 1–2, use the circle graphs.
1. Which class had more votes for soccer? How many more votes did this class have?
2. How many more students chose baseball in Class 5B than Class 5A?
Problem Solving and Test PrepFor 3–6, use the table.
Baseball
Practice ActivitiesTime Spent (in percent)
Team 5A 60 min. Team 5B 80 min.
Running Bases 20% 10%
Batting 10% 35%
Fielding 35% 25%
Throwing 35% 30%
3. Which team spent more time fielding? How many more minutes did this team spend fielding?
4. Which team spent the least amount of time batting? How many fewer minutes did this team spend batting?
5. Altogether, how many minutes did both teams spend throwing?
A 3 minutes
B 21 minutes
C 24 minutes
D 45 minutes
6. How much more time did Team 5A spend running bases than Team 5B?
A 4 more minutes
B 8 more minutes
C 12 more minutes
D 20 more minutes
Class 5A Survey: 20 students;After-School Activity Choices
Soccer20%
Foot ball15%
Baseball35%
Basketball30%
Soccer45%
Foot ball20%
Baseball25%
Basketball10%
Class 5B Survey: 40 students;After-School Activity Choices
Name Lesson 16.7
PW106
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Practice
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Points, Lines, and AnglesFor 1–6, use the figure. Name an example of each.
1. point
2. line segment
3. line
4. plane
5. vertex
6. vertical angles
For 7–14, use the figure above. Classify each angle. Write obtuse, acute, straight, or right.
7. �MNO
8. �KPS
9. �SPR
10. �JLQ
11. �JKS
12. �JLN
13. �LPQ
14. �QPR
Problem Solving and Test PrepUSE DATA For 15 and 16, use the map.
15. Name three streets that are parallel to Historic Charles Street.
16. Chase Street forms a right angle with which street?
17. Which marks an exact location in space?
A a point
B a line
C a ray
D a plane
18. Which is part of a line that includes two endpoints and all of the points between them?A a ray
B a line segment
C a point
D a plane
MJ K L
P N O
Q RS
Main
PW107
Name Lesson 17.1
Practice
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Measure and Draw AnglesEstimate the measure of each angle. Then use a protractor
to find the measure.
1. �YXZ
2. �VXT
3. �TXZ
4. �UXZ
Use a protractor to draw each angle.
Classify each angle.
5. 25°
6. 90°
7. an angle whose measure is greater than 135°
Problem Solving and Test PrepUSE DATA For 8 and 9, use the clocks.
8. Copy the angle shown by the hands of the clock that shows 3:00. What is the measure of this angle? Explain how you know.
9. Estimate the measure of the angle formed by the hands of the clock that shows 4:00. Then measure the angle.
10. Which angle measure is for an acute angle?
A 22° C 105°
B 95° D 102°
11. Which angle measure is for an obtuse angle?
A 18° C 89°
B 45° D 104°
T
U V W
Y
X Z
891011 12
7 6 5432
1
891011 12
7 6 5432
1
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PracticePW108
Name Lesson 17.2
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A B
Construct Parallel and Perpendicular LinesUse a compass and a straightedge to construct a line that is
parallel to each line.
1. 2. 3.
4. 5. 6.
Use a compass and a straightedge to construct a line that is
perpendicular to each line.
7. 8. 9.
O
PQ
RM
N
D
C
F GH
J K
L
Q
R
PW109 Practice
Name Lesson 17.3
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PolygonsName each polygon, and tell whether it is regular or not regular.
1.
2.
3. 4.
5.
6.
7. 8.
Complete each statement.
9. A regular hexagon has equal sides and equal angles.
10. A regular decagon has equal sides and equal angles.
Problem Solving and Test PrepUSE DATA For 11 and 12, use the figures.
11. What polygon has 6 sides? How many of the 6-sided polygons are regular?
12. What other regular polygons can you identify? How many are there?
13. Which best describes a polygon with 8 equal sides and 8 equal angles?
A quadrilateral
B hexagon
C regular polygon
D regular octagon
14. Which best describes a polygon with 6 sides, 2 acute angles, and 4 obtuse angles?
A hexagon
B octagon
C regular hexagon
D regular octagon
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PW110 Practice
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Practice
Sum of the AnglesTell if the given angles could form a triangle.
1. 30°, 60°, 90°
2. 40°, 80°, 90°
3. 15°, 25°, 35°
4. 15°, 55°, 100°
5. 50°, 34°, 96°
6. 20°, 75°, 85°
Tell if the given angles could form a quadrilateral.
7. 90°, 85°, 95°, 90°
8. 70°, 70°, 115°, 105°
9. 30°, 60°, 90°, 120°
10. 125°, 35°, 65°, 75°
11. 129°, 105°, 82°, 44°
12. 80°, 80°, 125°, 75°
Problem Solving and Test Prep
13. A triangle has angles labeled A, B, and C. The measure of angle A is 15° and the measure of angle B is 35°. What is the measure of angle C ?
14. A triangle has angles labeled A, B, and C. Angles A and B each measure 55°. What is the measure of angle C ?
15. A triangle has 2 angles with a measure of 73° each. What is the measure of the third angle?
A 34°
B 73°
C 107°
D 214°
16. A quadrilateral has 2 angles with a measure of 85° each and 1 angle with a measure of 70°. What is the measure of the fourth angle?
A 25°
B 120°
C 190°
D 205°
Name Lesson 17.5
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PW111
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Problem Solving Workshop Skill: Identify RelationshipsProblem Solving Skill PracticeFor 1 and 2 identify the relationship. Then solve.
1. What relationship can you find between the length of a square’s sides and the perimeter?
2. Predict the perimeter, if the length of each side of the square is 14 inches.
Mixed Applications PracticeUSE DATA For 3 and 4, use the table.
3. Identify the relationship. Then complete the table.
4. How many vertices would a base with 9 sides have?
5. Dennis, Carl, Paul, and Jeremy live in the first four houses on the street. Dennis lives in the second house from the corner. Jeremy does not live next to Dennis. Paul lives on the corner. In what place is Carl’s house on the street?
Length Of Square Sides (In.)
3 4 5 6
Perimeter (In.) 12 16 20 24
Number Of Sides On A Prism Base
3 4 5 6 7
Number of Vertices 6 8 10 12
Practice
Name Lesson 17.6
PW112
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CirclesComplete 1 and 2. Then use a compass to draw each circle.
Draw a radius and a diameter and label their measurements.
1. radius �
diameter � 5 cm
2. radius � 0.5 cm
diameter �
Problem Solving and Test Prep 3. A circle has a diameter of 180
millimeters. What is the radius of the circle?
4. The diameter of circle A is 12 centimeters. The diameter of circle B is 5 centimeters less than the diameter of circle A. What are the lengths of the radii for circles A and B?
5. A diameter of circle O is 48 inches. What is the length of a radius of circle O?
A 12 inches
B 18 inches
C 24 inches
D 96 inches
6. A radius of circle T is 4.7 centimeters. What is the length of a diameter of circle T ?
A 2.4 centimeters
B 4.7 centimeters
C 7.1 centimeters
D 9.4 centimetersB
A
O
F
T
E
Name Lesson 17.7
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PW113 Practice
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Hands On: Construct PolygonsUse a compass and a straightedge to construct each hexagon.
1. hexagon with sides that are 3 centimeters
2. hexagon inside a circle with a radius of 2 centimeters
Use a compass and a straightedge to construct each triangle.
3. triangle inside a circle with a radius of 1.5 centimeters
4. triangle inside a circle with a diameter of 2.5 centimeters
Practice PW114
Name Lesson 17.8
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Congruent and Similar FiguresWrite whether the two figures appear to be congruent, similar, or neither.
1.
2.
3.
4.
Identify the corresponding side or angle.
5. ___
UT
6. �S
7. ___
RS
8. �T
9. �U
10. ___
SU
11. �R
12. ___
TR
Problem Solving and Test PrepUSE DATA For 13 and 14, use the figures shown.
13. Do the figures appear to be congruent? Explain.
14. Do the figures appear to be similar? Explain.
15. Which best describes the two figures below?
A congruent
B similar
C regular polygons
D neither congruent nor similar
16. Which best describes the two figures below?
A congruent
B similar
C regular polygons
D neither congruent nor similar
WXR
S
YZT U
F
T
V U
H G
Name Lesson 17.9
PracticePW115
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Name Lesson 18.1
Practice
TrianglesClassify each triangle. Write isosceles, scalene, or equilateral.
1.
2.
3.
Classify each triangle. Write acute, right, or obtuse.
4.
5.
6.
Problem Solving and Test PrepFor 7–9, use the models of the flags.
7. What type of triangle is school A’s flag?
8. What type of triangle is school B’s flag?
9. Two of the angles in school A’s flag measure 75° and 20°. What is the measure of the third angle?
10. A triangle has two equal sides. Which type of triangle can it NOT be?
A scalene
B obtuse
C acute
D isosceles
11. James draws a triangle with angles that measure 45° and 60°. What is the measure of the third angle?
A 105°
B 90°
C 75°
D 45°
8 ft
7 ft4 ft
7 cm7 cm
7 cm
5 m
9 m
9 m
18 in.
18 in.
10 in.
17 in.
21 in.
6 in. School A
School B
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Name Lesson 18.1
PW116
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Practice
QuadrilateralsClassify each figure in as many ways as possible.
Write quadrilateral, parallelogram, square, rectangle, rhombus, or trapezoid.
1.
2.
3.
4.
For each quadrilateral name the parallel, perpendicular, and congruent sides.
5.
6.
Problem Solving and Test PrepSolve
7. Draw and name a quadrilateral with 4 right angles and 4 pairs of congruent sides.
8. Algebra One pair of congruent angles in a parallelogram each measure 54°. What is the measure of each of the missing angles?
9. A quadrilateral has 4 congruent angles and 2 pairs of congruent sides. What type of quadrilateral is it?
A rectangle C rhombus
B trapezoid D parallelogram
10. The sum of the measures of three angles in a quadrilateral is 280°. What is the measure of the fourth angle?
A 180° C 90°
B 120° D 80°
B C
A D A
D
B
C
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PW117
Name Lesson 18.2
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Draw Plane FiguresUse a protractor and a ruler to draw each triangle. Classify each
triangle by writing the terms that best describe it.
1. 2 congruent sides each measuring 2 inches; 2 congruent angles each measuring 45°
2. angles measuring 30°, 70°, 80°; no congruent sides
Use a protractor and a ruler to draw each quadrilateral. Classify
each quadrilateral by writing the name that best describes it.
3. 4 right angles; 1 pair of congruent sides measuring 2 cm and 1 pair of congruent sides measuring 4 cm
4. 2 pairs of congruent angles, 1 pair measures 75°; 4 congruent sides each measuring 2 inches
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PW118
Name Lesson 18.3
Practice
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Solid FiguresClassify each solid figure. Write prism, pyramid, cone, cylinder, or sphere.
1.
2.
3.
4.
Write the number of faces, edges, and vertices. Then classify each solid figure.
5.
6.
Problem Solving and Test PrepFor 7–9, use the solid figure to the right.
7. What is the shape of the base of the figure?
8. What is the shape of the sides of the figure?
9. How many faces, edges, and vertices does the figure have?
10. Which solid figure has a triangle as a base and 3 rectangular faces?
A pyramid
B rectangular prism
C triangular prism
D cube
11. Which solid figure has 0 faces, 0 edges and 0 vertices?
A sphere
B triangular prism
C pyramid
D pentagonal prism
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PracticePW119
Name Lesson 18.4
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Nets for Solid FiguresMatch each solid figure with its net.
1.
2.
3.
4.
a. b. c. d.
Problem Solving and Test Prep
5. Draw a net for a rectangular prism and for a triangular prism. Compare the nets by describing the shapes and number of bases and faces.
6. Draw a net for a pyramid and for a triangular pyramid. Compare the nets by describing the shapes and number of bases and faces.
7. How many rectangles will the net for a triangular prism contain?
A 2 C 4
B 3 D 5
8. How many triangles will the net for a pentagonal pyramid contain?
A 3 C 5
B 4 D 7
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Practice
Name Lesson 18.5
PracticePW120
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Problem Solving Workshop Strategy: Solve a Simpler ProblemProblem Solving Strategy PracticeSolve.
1. Maria wants to make a model of an octagonal prism. She will use toothpicks for edges and small Styrofoam balls for the vertices. How many Styrofoam balls and how many toothpicks will Maria need to use?
2. Justin paints the ceiling and inside and outside walls of a pentagonal prism building. If each wall requires 32 gallons of paint and the ceiling requires 27 gallons of paint, how many gallons of paint will Justin need?
Mixed Strategy PracticeUSE DATA For 3–5, use the diagram.
3. Jennifer is building a house that models the house to the right. Jennifer wants her house to be 4 _ 5 the length of the model house. What is the length of Jennifer’s house?
4. Jennifer wants to plant flowers around the perimeter of her house. If she plants a flower at each corner of her house and one flower every 4 feet, using the answer to problem 3, how many flowers will be around Jennifer’s house?
5. Jennifer’s son, Brian, is running around the house with the dog. If he runs around the house 4 times, using the answer to problem 3 how far does Brian run?
60 ft
36 ft
44 ft
Name Lesson 18.6
PracticePW121
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Draw Solid Figures from Different ViewsIdentify the solid figure that has the given views.
1.
2.
3.
On the grids below, draw each figure from the top, the front, and the side.
4. 5. 6.
7. Write Math Explain which solid figures have a top view that is the same as the bottom view.
Top Front Side Top Front Side Top Front Side
top view top view top view
front view
side view
front view
side view
front view
side view
Name Lesson 18.7
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PracticePW122
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Algebra: Graph Ordered PairsUse the coordinate grid below. Write an ordered pair for each point.
1. K
2. J
3. G
4. D
5. I
6. A
Graph and label each of the following
points on the coordinate grid.
7. L (3,3) 8. M (0,2) 9. N (4,6)
10. O (7,5) 11. P (8,4) 12. Q (4,0)
Problem Solving and Test PrepUSE DATA For 13 and 14, use the map.
13. What ordered pair gives the location of the library?
14. The park is 3 units east and 1 unit north of Jan’s house, which is located at point A on the map. What ordered pair gives the location of Jan’s house?
15. The point (3,0) is:
A not an ordered pair
B on the x-axis
C on the origin
D on the y-axis
16. The point (0,0) is:
A not an ordered pair
B on the x-axis
C on the origin
D on the y-axis
B
A
C
D E
FG
I
JK
H
67
5
910
8
4321
0 2 31 4 5 76 8 109x-axis
y-ax
is
SchoolPost Office
Park
Library
A
67
5
910
8
4321
0 2 31 4 5 76 8 109x-axis
y-ax
is
Name Lesson 19.1
PW123 Practice
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Algebra: Graph RelationshipsWrite the ordered pairs. Then graph them.
1.
Number of rectangle faces, x 6 9 12 15
Number of triangular prisms, y 2 3 4 5
2.
Number of cylinders, x 1 5 8 9
Number of square bases, y 0 0 0 0
Problem Solving and Test PrepUSE DATA For 3 and 4, use the table.
3. Mathew wrote the ordered pair (8,2)for 2 quadrilaterals with 8 interiorangles of 90°. What is his error?What should he have written?
4. Rick wrote the ordered pair (4,4) for 4 quadrilaterals with 16 interior
angles of 90°. What is his error? What should he have written?
5. What is the number 5 in the ordered
pair (5,7)?
A x-axis
B y-axis
C x-coordinate
D y-coordinate
6. What is the number 8 in the ordered pair (7,8)?
A x-axis
B y-axis
C x-coordinate
D y-coordinate
y
x01
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
23456
y
x01
1 2 3 4 5 6 7 8 9 10
2345
Number of quadrilaterals, x 1 2 3 4
Number of Interior Angles of 90°, y 4 8 12 16
Name Lesson 19.2
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PW124 Practice
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Algebra: Graph Integers on the Coordinate PlaneFor 1–6, identify the ordered pair for each point.
1. point A
2. point E
3. point C
4. point F
5. point B
6. point D
For 7–12, graph and label the ordered pairs
on the coordinate plane.
7. M (5,¯2) 8. N (¯1,1) 9. O (¯3,0)
10. P (3,3) 11. Q (0,2) 12. R (¯5,¯5)
Name the ordered pair that is described.
13. Start at the origin. Move 3 units to the left and 2 units up.
14. Start at the origin. Move 11 units to the left.
Problem Solving and Test Prep 15. Allen was walking on a giant coordinate
grid. He started at the origin and took 2 steps to the right. Then he took 5 steps up. What ordered pair did he walk to?
16. Alexis was walking on a giant coordinate grid. She started at the origin and took 1 step to the left. Then she took 3 steps down. What ordered pair did she walk to?
17. Start at the origin. Go to the left 1 unit. Go down 1 unit. What is the ordered pair?
A (1,1)
B (¯1,1)
C (1,¯1)
D (¯1,¯1)
18. Start at the origin. Move 3 units up. What is the ordered pair?
A (0,3)
B (3,0)
C (0,¯3)
D (¯3,0)
x
y
0-1
+1A
B
E
C
F
-2
+2
+2
-3
+3
+4
+5
+3 +4 +5
-4-5
+1-3 -2 -1-4-5
D
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Name Lesson 19.3
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Linear FunctionsFind the rule to complete the function table. Then write the rule as an equation.
1.
2.
3.
4.
ALGEBRA Use the function. Find the output, y, for each input, x.
5. y � x � 4, for x � 2, 4, 6, 8
7. y � 6x, for x � 0, 1, 2, 3
6. y � x � 5, for x � 1, 5, 10, 15
8. y � 7x � 20, for x � 3, 6, 9, 12
Problem Solving and Test Prep 9. Sylvia charges $5 an hour to baby-sit
one child and an additional $5 to watch each additional child. Write a function to show how much Sylvia earns when she baby-sits two children.
10. Sid sells bicycles. He earns $6 an hour. For every bicycle he sells, he earns a $2 commission. Write a function to show how much Sid earns in one hour.
11. Which equation represents this rule? Multiply by 3 and add 2
A y � 3x � 2
B y � 2x � 3
C y � 3x � 2
D y � 2x � 3
12. Which equation represents this rule? Divide by 4 and add 5
A y � x � (4 � 5)
B y � (x � 4) � 5
C y � 4x � 5
D y � (x � 4) � 5
input, x 1 2 3 4 5 6
output, y 3 4 5 6
input, x 20 16 14 12 10
output, y 17 15 13 11
input, x 1 3 4 5 6
output, y 4 8 12 20
input, x 1 2 3 4 5 6
output, y 3 5 7 11
PracticePW126
Name Lesson 19.4
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Algebra: Write and Graph EquationsFind the rule to complete the function table. Then write an equation.
1.
x 4 3 2 1 0
y 2 1 0 �1
2.
x 27 21 18 15
y 9 8 7 6
3.
x 4 3 2 1 0
y 24 12 6
Use the equation to create a function table with
at least 4 ordered pairs. Then graph.
4. y � �x � 4
Problem Solving and Test Prep
Brice makes 3 more potholders an hour than Katie does. Use this information for 5 and 6.
5. Write an equation to show the relationship between how many potholders Brice and Katie make.
6. Choose four values for x in the equation you wrote. Create a function table in the box to the right.
7. If you graph the equation y � x � 3, which of the following pairs would you graph?
A (2,5)
B (5,2)
C (7,3)
D (3,7)
8. If you graph the equation y � 3x � 2, which of the following pairs would you graph?
A (2,7)
B (7,4)
C (4,14)
D (14,4)
x
y
Name Lesson 19.5
Practice PW127
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Problem Solving Workshop Skill: Relevant or Irrelevant InformationProblem Solving Skill PracticeTell the relevant information and solve.
1. Conner rode his bike 12 miles on Saturday and 10 miles on Sunday. It rained on both days. How far did he ride his bike on the weekend?
2. Jeb has two cats. The sum of their ages is 9, and the difference in their ages is 1. One cat is grey and the other cat is black. How old are his two cats?
3. David is stocking shelves. He placed 7 cans of green beans on the top shelf, and 19 cans of corn on the bottom shelf. How many cans did he stock?
4. Casey ran to the paint store which is 5 blocks north of her house. Then she turned west and ran 3 blocks to the park. Then she ran 8 blocks home. How many blocks did she run?
Mixed Applications PracticeUSE DATA For 5–7, use the grid.
5. Tamika mapped out the locations of all of her friends’ houses. Dani’s house is located at (4,7). Heather’s house is 1 block directly south of Dani’s house. Jessica’s house is located 2 blocks directly west of Heather’s house. Brenda’s house has a y-coordinate that is 2 blocks south of Heather’s house and an x-coordinate that is 4 blocks east of Dani’s house. What are the coordinates for Brenda’s house?
6. If Brenda’s house was 7 blocks south of Heather’s house and 3 blocks west of Jessica’s house, what would the coordinates of Brenda’s house be?
7. Tara just moved into town. She lives 8 blocks south of Jessica, and 3 blocks east of Dani. What are the coordinates of Tara’s house?
x
y
0-1
+1
-2
+2
+2-2
-3
+3
+3-3
-4-5
+4+5+6+7+8+9
+10
+4-4 +1-1 +6 +7 +8 +9+10+5
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PW128 Practice
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LengthChange the given units.
1. 60 in. � ft 2. 12 yd � ft 3. 2 mi � ft 4. 63 ft � yd
5. 5 mi � yd 6. 7 ft � in. 7. 9.3 m � cm 8. 490 mm � cm
9. 0.4 km � m 10. 7.8 cm � mm 11. 1.9 m � cm
12. 3,050 cm � m 13. 1.1 km � m 14. 720 mm � cm
15. 28 yd � ft 16. 444 in. � ft 17. 36 ft. � yd
Complete.
18. 559 cm � m 59 cm 19. 8 ft 12 in. � yd 20. 2 ft � 1 ft in.
21. 8 cm 20 mm � mm 22. 7 yd 1 ft � 6 yd ft 23. 4 m � 2 m cm
24. 1 mi 720 ft � ft 25. 1 km 20 m � m 26. 3,800 mm � cm
Problem Solving and Test Prep
27. Dustin has a board that is 12 feet long. He cuts three pieces that are each 3 feet 9 inches long. How many inches are left over?
28. How many 40-centimeter rods can Laticia cut from a 3-meter rod? How many centimeters are left over?
29. A length of 452 centimeters is equal to which of the following?
A 4.52 m
B 45.2 m
C 0.452 km
D 4.52 km
30. A length of 6 yd 1 ft is equal to which of the following?
A 2 ft 1 in.
B 2 ft 3 in.
C 18 ft 3 in.
D 19 ft
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Name Lesson 20.1
PW129
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Estimate Perimeter 1. Trace around the outline of a pencil in the space below. Then use string and a ruler
to estimate the perimeter in centimeters.
2. Using string and a ruler, estimate the perimeter of your desk or table top.
Find the perimeter of each polygon in centimeters.
3.
4.
5.
6.
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Name Lesson 20.2
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Find PerimeterFind the perimeter of each polygon.
1.
2.
3.
4.
5.
6.
7.
8.
Problem Solving and Test Prep
9. Cecil drew a diagram of a beehive in the shape of a regular hexagon. The length of each side of the hexagon is 4.5 inches. What is the perimeter of Cecil’s model drawing?
10. Algebra Candace wants to build a model of the Pentagon. She has enough balsa wood for a perimeter of 100 centimeters. Write an equation she could use to find the length of each side of the model. Then solve the equation.
11. The polygon below is a regular triangle.
What is the perimeter?
A 5 cm
B 15 cm
C 150 cm
D 1,500 cm
12. The polygon below is a square.
What is the perimeter?
A 1.4 cm
B 4.6 cm
C 10.4 cm
D 14 cm
29 in.29 in.
24 in.
24 in.1.5 m 1.8 m
2.3 m9 ft
11 ft
7 ft7 ft7 yd
5.7 m
5.9 m
4.3 m
3 m
3.1 m
30 in.
2.4 cm
2.6 cm
1 m
1.3 m
3 m
3.5 m
3 m
2.6 cm5 cm
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PracticePW131
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Algebra: Perimeter FormulasFind the perimeter of each polygon by using a formula.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Problem Solving and Test Prep 13. Algebra The perimeter of a regular
hexagon is 42 yards. What is the length of each side?
14. Each of the side chambers of the Lincoln Memorial are 38 feet wide and 63 feet long. What is the perimeter of one of the side chambers?
15. For which polygon could you use the formula P � 2l � 2w to find its perimeter?
A triangle
B rectangle
C trapezoid
D pentagon
16. For which regular polygon could you use the formula P � 5x to find its perimeter?
A triangle
B square
C pentagon
D hexagon
121 yd
15 m
0.06 cm
85 ft
27 in.
18.5 in.17 cm
7.2 mi
4.2 mi
19.1 mi
9 mi
10 yd 10 yd
6 yd
1.75 in.
4.5 ft 0.8 m
3.2 m
Practice
Name Lesson 20.4
PW132 Practice
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Algebra: Use Perimeter FormulasThe perimeter is given. Find the unknown length.
1. P � 80 in.
2. P � 20.8 m
3. P � 195 ft
4. P � 72 yd
5. P � 55.5 km
6. P � 48 in.
7. P � 10.8 cm
8. P � 166 in.
9. P � 28 m
Problem Solving and Test Prep
10. The length of a rectangle is 3 centimeters less than twice its width. What is the width of the rectangle if the perimeter is 39 centimeters?
11. Nadine is putting a paper border around her rectangular room. Three sides of the room are 8.5 meters, 9 meters, and 8.5 meters. How much paper will Nadine need in all?
12. A square has a perimeter of 112 meters. What is the length of each side?
A 7 meters
B 28 meters
C 56 meters
D 112 meters
13. The length of a rectangle is 38 inches. The perimeter is 92 inches. What is the width of the rectangle?
A 8 inches
B 23 inches
C 46 inches
D 54 inches
33 in.
r 29 in.b
b
3 m3 m
20 ft
46 ft46 ft
x
16 yd
11 yd 11 yd
c
16 yda
a
a
a
a
a
3 in.
k
12 in.
6 in.
18 in.
6 in.
3.6 cm
2.4 cm 2.8 cm
0.5 cmm
48 in.
30 in.
64 in.
h
6.3 m1.8 m
1.8 m
2.7 m
4.5 m
x
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PracticePW133
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Problem Solving Workshop Skill: Make GeneralizationsProblem Solving Skill Practice Make generalizations to solve.
1. A rectangular shaped kitchen has measurements of 12 feet by 16 feet. The perimeter of the kitchen is half the perimeter of the family room. What is the perimeter of the family room?
2. The top of a table has a perimeter of 204 inches. A leaf extends the length of the top by 8 inches. What is the perimeter of the table top with the leaf?
3. Two boxes of cereal are the same shape. The corn cereal box is 2 inches wide and 10 inches long. The perimeter of the wheat cereal box is 5 inches more than the corn cereal box. What is the perimeter of the wheat cereal box?
4. The Pyramid of Khafre is the second largest pyramid in Giza. It is the same shape as the Great Pyramid. The perimeter of its base is 2,816 feet. How long is each side of its base?
Mixed Applications
5. The length of the longest leg bone in a human, the femur, is 19.88 inches. The length of the longest arm bone in a human, the humerus, is 14.35 inches. What is the difference in length between the femur and the humerus?
6. Kerri has a tree house that is 5 feet by 7 feet. His circular table has a diameter of 6 feet. Will the table fit in his tree house? Explain.
7. Brett and Bart are identical twins. Carly and Carl are also identical twins. Can you find the ages of Brett and Bart? Explain.
8. Todd is cutting a rectangular piece of cloth into smaller pieces. It measures 12 inches by 6 inches. If each smaller piece is 3 inches square, how many smaller pieces can he cut?
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Name Lesson 20.6
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Name Lesson 21.1
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Estimate AreaEstimate the area of the shaded figure. Each square on the grid is 1 cm2.
1.
2.
3.
Problem Solving and Test Prep 4. The jigsaw puzzle of a train at the right
has 100 pieces. Estimate the area of the puzzle.
Train Puzzle (each square is 1 inch)
5. Estimate the area of the train in the jigsaw puzzle at the right.
6. Which is a reasonable estimate for the area of the figure?
A 15 in.2
B 9 in.2
C 4 in.2
D 2 in.2 � 1 in.2
7. Which is a reasonable estimate for the area of the banner?
A 4 cm2
B 8 cm2
C 12 cm2
D 15 cm2 � 1 cm.2
Name Lesson 21.1
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Algebra: Area of RectanglesFind the area of each figure.
1. 32 ft
10 ft
2.
16 cm
16 cm
3.
2 35 in.
6 14 in.
4. 8 ft
5 ft
3.5 ft6 ft
5.
5 in.
4 in.
9 45
in.
1 23
in.
Problem Solving and Test Prep For 6–7, use the table.
6. Cassie plans to paint the hickory wood panel. What is its area?
7. Which panel has an area of about 2,500 in.2?
8. How many 1-in.2 tiles are needed to cover an 18 in. � 30 in. countertop?
A 324 tiles
B 540 tiles
C 900 tiles
D 630 tiles
9. What is the area of a 12 ft � 21 1 _ 2 ft driveway?
A 258 ft2
B 144 ft2
C 462 1 _ 2 ft2
D 326 1 _ 2 ft2
Wood Panel Height Length
Hickory 68 in. 40 in.
Pine 54 in. 36 in.
Oak 52 in. 48 in.
Name Lesson 21.2
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Name Lesson 1.1Name Lesson 21.3
PracticePW137
Algebra: Relate Perimeter and AreaFor the given perimeter, find the length and width of the rectangle with the greatest
area. Use whole numbers only.
1. 80 ft
2. 36 yd
3. 8 mi 4. 200 cm
5. 76 m
For the given area, find the length and width of the rectangle with the least perimeter.
Use whole numbers only.
6. 50 mm2
7. 16 in. 2
8. 48 yd2
9. 65 mi2
10. 144 ft2
Problem Solving and Test Prep 11. Complete the table to find
the areas of rectangles with aperimeter of 20 m. Describe thepatterns you see.
12. Using 200 feet of fencing, what is the greatest area that can be fenced? The least area? Use whole numbers.
13. What is the greatest possible area for a rectangle with a perimeter of 30 cm?
A 30 cm2
B 49 cm2
C 56 cm2
D 64 cm2
14. What is the least possible perimeter for a rectangle with an area of 169 ft2?
A 13 ft
B 52 ft
C 26 ft
D 152 ft
Width (m) Length (m) Area (m2)
2
3
4
5
6
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Problem Solving Workshop Strategy: Compare StrategiesProblem Solving Strategy PracticeDraw a conclusion to solve the problem.
1. A shipping company displays 6 different size boxes in a row. The first box is 18 in. long and 20 in. wide. Each shipping box is the same length but 3 in. wider than the previous box. What is the perimeter of the sixth shipping box?
2. A boy builds a tower using his blocks. The side of each block is 3 inches. The tower is 5 rows high and the first row is 14 blocks long. Each of the other rows has 2 fewer blocks than the row below. What is the volume of the top row?
Mixed Strategy PracticeFor 3–4, use the diagram.
3. Use Data The total area of the gardens is 305 ft.2 What is the area of the square vegetable garden? What is the vegetable garden’s perimeter?
4. Use Data Linda planted 4 more flower gardens similar to the one in the diagram. Each garden is a square with a side length that is 1 foot less than the previous garden. What is the area of the fifth flower garden?
6 ft
10 ft
7 ft
HerbGarden
Vegetable Garden
7 ft
FlowerGarden
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Name Lesson 21.4
Practice
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Model Area of TrianglesUse the rectangle to answer 1–4.
1. How many units long is the rectangle?
2. How many units wide is the rectangle?
3. What is the area of the rectangle in square units?
4. What is the area of each triangle in square units?
Find the area in square centimeters of each shaded triangle.
5.
6.
7.
8.
9.
10.
Name Lesson 21.5
PW139 Practice
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Algebra: Area of TrianglesFind the area of each triangle in square units.
1.
2.
3.
Find the area of each triangle.
4.
5.
6.
Use the pattern for 7 and 8.
7. Kate bought blue tiles to fill the middle of thepattern. How many blue tiles did she buy?
8. Reasoning: The tiles in the pattern are right isosceles triangles. The two shorter sides of each triangle are each 2 cm long. Estimatethe area of the shaded part of the pattern.
9. A triangular flag has a base of 8 ft and an area of 16 sq. ft. What is the flag’s height?
A 3 ft
B 4 ft
C 5 ft
D 6 ft
10. A triangular figure has a height of 7 cm and an area of 35 sq. cm. What is the length of the triangular figure’s base?
A 5 cm
B 10 cm
C 15 cm
D 20 cm
12 ft
7 ft9 in.
18 in.
3 cm
11 cm
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Name Lesson 21.6
PracticePW140
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Algebra: Area of ParallelogramsFind the area of each parallelogram.
1.
2.
3.
4.
5.
6.
Problem Solving and Test Prep 7. A yard is shaped like a parallelogram
with a base of 27 m and a height of 30 m. What is the area of the yard?
8. A parallelogram has a length of 15 cm and a height of 20 cm. It is divided into two congruent triangles. What is the area of each triangle?
9. What is the area of the parallelogram?
A 300 ft2
B 70 ft2
C 294 ft2
D 147 ft2
10. A playground is divided into two equal parallelograms. What is the area of the entire playground? Show your work.
5 m
6 m7 ft
3 ft
9 cm
5 cm
25 1 in.
in.8
13 ft
13 ft
10.4 yd
13.6 yd
14 ft
21 ft20 m
12 m
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Name Lesson 21.7
PW141 Practice
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Surface AreaUse the net to find the surface area of each prism in square units.
1. Which faces on the net are congruent?
What is the area of the congruent faces?
What is the surface area of the prism?
2.
Find the surface area in ft2.
3.
4.
5.
6. WRITE Math Explain the difference between area and surface area.
E B A F
D
C
E
B
DA
C
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Name Lesson 22.1
PracticePW142
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Estimate Volume Estimate the volume of each rectangular prism. Write your estimates in cubic units.
1.
2.
3.
Estimate the volume of each rectangular prism with these measurements.
4. 4.3 cm � 6.8 cm � 2.4 cm
5. 7.9 m � 9.2 m � 10.3 m
6. 3.1 cm � 3.1 cm � 4.7 cm
7. 23 in. � 37 in. � 52 in.
8. 11 ft � 10 ft � 18 ft
9. 57 yd � 19 yd � 42 yd
10. One rectangular prism measures 2.9 m � 5.3 m � 3.7 m. Another rectangular prism measures 4.1 � 1.7 � 4.6 m. Which rectangular prism has the greater volume?
11. Reasoning How could you estimate the volume of a cereal box in cubic centimeters?
12. WRITE Math What’s the Error? James estimated that the volume of a 3.7 cm � 4.2 cm � 5.8 cm box is 16 cm2. Describe and correct his error.
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PW143
Name Lesson 22.2
Practice
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Find VolumeFind the volume of each rectangular prism.
1.
2.
3.
Problem Solving and Test PrepFor 4–5, use the table.
4. Which of the three pools has the greatest volume?
5. Reasoning In the winter, Pool A is filled to a depth of only 2 feet. What is the volume of the Pool A?
6. A triangle has a base of 8 and a height of 6. What is the area of the triangle?
7. The capacity of a garbage bag is the same as a 15 in. � 10 in. � 9 in. box. What is the garbage bag’s total capacity?
A 150 cu in.
B 135 cu in.
C 1,500 cu in.
D 1,350 cu in.
12 yd5 yd
8 yd
2 cm
8 cm13 cm
Swimming Pool Dimensions(in feet)
Pool Length Width Depth
Pool A 20 17 9
Pool B 25 15 8
Pool C 30 15 7
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Name Lesson 22.3
PracticePW144
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Relate Perimeter, Area, and VolumeTell the units you would use for measuring each. Write linear, square, or cubic.
1. how much tile needed to cover a floor
2. a door frame
3. the amount of water in a lake
4. how much wall paper needed to cover a wall
Write the units you would use for measuring each.
5. surface area of this prism
6. perimeter of this triangle
7. volume of this prism
Problem Solving and Test PrepUse the picture of the aquarium for 8–9.
8. What is the aquarium’s volume?
9. What is the area of the water’s surface that is exposed to the air?
10. Joe wraps a 9 in. � 6 in. � 4 in. gift. What unit should he use to decide how much wrapping paper he needed?
A inches
B square feet
C square inches
D cubic inches
11. Mary bought a 6 in. � 8 in. � 1 in. picture frame. What unit should she use to decide the width that is needed on a shelf for the picture frame?
A inches
B square feet
C square inches
D cubic inches
12 cm8 cm
5 cm
6 ft
6 ft 9 ft
4.5 m4 m
5 m
15 in.
18 in.
24 in.
Name Lesson 1.1
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Name Lesson 22.4
PracticePW145
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Problem Solving Workshop Strategy: Write an EquationProblem Solving Strategy PracticeWrite an equation to solve.
1. The area of a triangular end table is 112 square inches. The two sides that are against the wall meet at a right angle. One of the sides that is against the wall is 16 inches. What is the length of the other side that is against the wall?
2. The volume of an oven range in a kitchen is 7.2 cubic feet. The width is 2 feet and the length is 1.5 feet. What is the height of the oven range?
Mixed ApplicationsUSE DATA For 3–4, use the diagrams.
3. Kyle collects magazines. He stacks them one on top of the other. What is the volume of his magazines?
4. Kyle keeps his magazines in a box. The volume of the box is 3,024 cubic inches. What is the height of the box?
5. The volume of a storage container is 936 square inches. The length of the container is 9 inches and the width of the container is 8 inches. What is the height of the storage container?
6. The volume of a refrigerator is 42.9 cubic feet. The height of the refrigerator is 6.5 feet. The length is 3 feet. What is the width of the refrigerator?
12 in.14 in.
Kyle’sMagazine
Box
9 in.
15 in.
11 in.
Magazine
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PW146
Name Lesson 22.5
Practice
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Practice
Collect and Organize DataA movie maker wants to find out what type of movies children ages 9–13 like to watch.
Tell whether each sample represents the population. If it does not, explain.
1. a random sample of 400 boys, ages 9–13
2. a random sample of 400 children, ages 9–13
3. a random sample of 400 teachers
Make a line plot. Find the range.
4.
Problem Solving and Test PrepUSE DATA For 5–6 use the table.
5. Tammy surveyed her classmates to find out their favorite subjects. Which subject has the greatest frequency?
Favorite Subjects Subject Tally
Spelling ////
Reading /////
Science //// ////
Math ///
Social Studies //// //
6. What is the size of Tammy’s sample?
7. What is the range for the following set of data: 14, 9, 11, 21, 7?
A 11
B 12
C 13
D 14
8. Which set of data has a range of 15?
A 4, 9, 2, 15, 18
B 9, 5, 20, 3, 25
C 8, 2, 15, 13, 17
D 5, 20, 7, 14, 21
Volunteer Hours Survey
Number of Hours Frequency
2 4
4 10
5 6
7 2
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PW147
Name Lesson 23.1
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Find the MeanFind the mean.
1. 7, 9, 12, 9, 13
2. $18, $17, $22, $17
3. 1,024; 854; 720
4. 306, 139, 243, 139, 238
5. 112, 130, 121, 109, 125
6. 9, 5, 10, 14, 7, 14, 11
7. 2.3, 2.1, 2.19, 2.41, 2.1
8. 546, 864, 945, 760
9. $72, $68, $72, $84
10. 3.5, 5.4, 7, 6.4, 5.4, 3.8
Use the given mean to find the missing value in each set of data.
11. 7, 12, 16, ; mean: 11 12. $24, $17, ; mean: $21
13. 45, 55, 25, , 75; mean: 50 14. 6.5, , 8.1, 9.4; mean: 6.85
15. 14, 16, 18, 12, ; mean: 15 16. 36, 24, 16; mean: 24
Problem Solving and Test Prep
17. Use Data What is the mean number of visitors to the lighthouses?
Lighthouse VisitorsLighthouse Number of Visitors
Cape Hatteras 46
Cape Charles 60
Pensacola 33
Cape May 49
18. Reasoning How would the mean change if only Pensacola and Cape May were used to find the mean?
19. Compute the mean for the following collection of numbers.
2, 2, 2, 2, 2, 2, 6, 13, 38, 56, 62
A 2 C 17
B 11 D 73
20. Compute the mean for the following collection of numbers.
4.2, 5.1, 7.3, 6.4, 4.9, 5.8, 5.5
A 2.2 C 5.8
B 5.6 D 6.4
PW148 Practice
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Name Lesson 23.2
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Find the Median and ModeFind the median and mode for each set of data.
1. 7, 9, 12, 9, 13
2. 205, 317, 286, 276, 317
3. 893, 789, 687, 789
4. $22, $24, $18, $26
5. $25, $20, $15, $35, $15
6. 4.6, 2.3, 4.6, 2.4, 3.4
Find the median and the mode for each set of data. Tell how the
median and the mode compare.
7. $75, $55, $57, $55, $67
8. 12.6, 12.9, 12.3, 13.2, 12.9
9. 14, 27, 13, 14, 23
10. $10, $9, $11, $11, $10
Problem Solving and Test Prep
11. Reasoning The range of three numbers is 17. The mode is 24 and the median is 24. What are the three numbers?
12. Lori received a 7.1, 8.1, 7.5, 7.1, 8.3, and 7.9 as scores from the judges. What is the median and mode of Lori’s scores?
13. What is the mode of this set of data: 31, 27, 26, 25, 31?
A 13
B 27
C 28
D 31
14. Explain how you can find the median for a set of data with an even number of data values.
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PW149 Practice
Name Lesson 23.3
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Compare DataCompare the data sets. Tell how the data sets compare.
1.
2.
Problem Solving and Test Prep
3. Reasoning Hannah and Tyler count the number of times the word what occurs. Hannah’s data has a mean of 2.7 times. What could Tyler’s mean be if his results are similar?
4. Two data sets have different ranges and medians. Are the numbers in the data sets similar or different? Explain your reasoning.
5. Which shows how the median for each set of data compares?
Baseball Cards Saved: 111, 101, 149 Football Cards Saved: 124, 87, 98, 132
A 111 � 111
B 111 � 98
C 48 � 45
D 120.3 � 110.3
6. Which shows how the mean for each set of data compares?
Group A Pages Read: 47, 33, 52, 36 Group B Pages Read: 42, 39, 47, 28
A 52 � 47
B 19 � 19
C 34.5 � 40.5
D 42 � 39
A: Number of stamps collected
13 25 19 32 66 22 19
B: Number of stamps collected
6 13 21 20 15 13 24
Monday Homework Problems
2 3 6 2 6 3 4 5 4 5
Tuesday Homework Problems
10 4 2 5 3 4 6 9 6 1
PW150
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Name Lesson 23.4
Practice
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Analyze GraphsFor 1–3, use the double-bar graph
1. Which class had the least number of right-handed students?
2. Which two classes have the same number of students?
3. What is the total number of left-handed students in all four classes?
Problem Solving and Test Prep 4. The graph below shows how the speed
of Mary’s car changed as she drove six miles. Which statement about the data shown on the graph is true?
A Mary’s slowest speed was 40 mph.
B The range of the data is 12 mph.
C Mary’s speed constantly increased.
D The average speed is around 44 mph.
5. A circle graph shows that most people prefer walking. It also shows that more people prefer biking than swimming. Explain what the circle graph might look like.
0
5
10
15
1 2 3 4
Num
ber o
f Stu
dent
s
Left-handedRight-handed
Class Period
Left-handed and Right-handedStudents
0
10
20
30
40
50
60
1 2 3 4 5 6Miles
Spe
ed (
mph
)
Speed of Mary’s Car
PW151 Practice
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Name Lesson 23.5
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Problem Solving Workshop Strategy: Use Logical ReasoningProblem Solving Strategy Practice
Use logical reasoning to solve.
1. Nine students wrote reports about photosynthesis, 7 students wrote reports about transport tissues in plants, and 3 students wrote about photosynthesis and transport tissues in plants. How many students wrote reports?
2. During a free period, 7 students used the computers, 8 students played board games, and 4 students used the computer and played board games. How many students used the computer or played board games during the free period?
Mixed Strategy Practice
USE DATA For 3 and 4, use the table.
3. Hank spent $26.06 on two supplies. Which two supplies did he buy?
4. Madison bought the most expensive item. Jerry bought safety goggles and a ruler. How much more did Madison spend than Jerry?
Science Supplies SaleScience Supply Price
Ruler $2.39
Tongs $11.50
Graduated Cylinder $8.71
Hand Lens $19.95
Safety Goggles $14.56
5. At the library, 5 students checked out fiction books, 11 students checked out non-fiction books, and 4 students checked out fiction and non-fiction books. How many students checked out fiction or non-fiction books from the library?
6. During a science experiment, Nora records the following data: day 1 – 14 insects, day 2 – 28 insects; day 3 – 42 insects; day 4 – 56 insects. If the number of insects continues to increase in this way, how many insects will there be on day 8?
PW152 Practice
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Name Lesson 23.6
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Make Histograms Use the data to make a histogram.
1. 2.
Problem Solving and Test Prep
3. The table at below shows the ages of runners in last year’s Sonoma County Half-Mile and One-Mile Junior Runs. Make a histogram of the data using intervals of two years.
4. How many runners were 10-years-old and older?
A 7 C 14
B 10 D 20
5. How do you think the number of people in each age group would change if the interval were 5?
Ages Of Run Volunteers
23 12 27 19 16
7 40 32 39 20
21 9 12 14 53
6 12 34 17 28
49 5 33 10 41
Laps Swum In The Pool
12 24 32 31 22
10 17 25 14 21
19 20 9 14 8
17 15 21 40 30
19 16 30 23 21
12 8 6 11 9 4
12 6 11 10 5 7
8 5 10 9 13 12
12 10 9 10 6 7
7 9 11 12 12 5
Ages of Fun Run Volunteers Laps Swum in the Pool
Ages of Half - and One-Mile Runners
Name Lesson 24.1
PW153 Practice
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Make Stem-and-Leaf PlotsUse the data to make a stem-and-leaf plot.
1.
2.
Problem Solving and Test Prep 3. Make a stem-and-leaf plot showing the
height, in meters, of L.A. high-rise buildings.
4. USE DATA How many buildings are between 100 and 115 meters tall?
A 7
B 8
C 9
D 10
5. USE DATA What is the difference in meters between the shortest and the tallest high-rise?
A 24 meters
B 26 meters
C 34 meters
D 36 meters
Number Of Floors In L.A. Buildings
44 62 52 44 55 52 39
54 52 39 27 48 30 29
25 22 35 52 42 34 64
Points Scored In Season Basketball Games
62 77 85 68 70 91 78 74
76 62 63 59 81 66 72 65
58 82 76 83 74 86 61 90
79 70 57 68 69 64 82 62
Height (In M) Of L.A. High-Rise Buildings
111 96 88 116 94 109 88 91
106 83 85 112 107 93 90 82
114 93 80 112 106 108 81 91
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Number of Floors In L.A. Buildings
Stem Leaves
Points Scored In Season Basketball Games
Stem Leaves
Height (In M) Of L.A. High-Rise Buildings
Stem Leaves
Practice PW154
Name Lesson 24.2
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Make Line Graphs Make a line graph using the information provided.
1. 2. Celia recorded the weights of her two puppies, Ike and Eli, for 3 months. On the first day, Ike weighed 2 pounds and Eli weighed 2.5 pounds. After one month, Ike weighed 6 pounds and Eli was 5 pounds. After 2 months, Ike was 11 pounds and Eli was 11.5 pounds. After 3 months, Ike weighed 31 pounds and Eli weighed 34 pounds.
Problem Solving and Test Prep 3. USE DATA Make a line graph for the
data in the table below.
4. Between which minutes did the pool gain the most depth?
A 0–5 C 10–15
B 5–10 D 15–20
5. Make a line graph for the data in the table below.
Total Snowfall on Joey’s Birthday
Time 8 a.m. 11 a.m. 2 p.m. 5 p.m. 8 p.m.
Inches 1 3 5 6 8
Depth of Water in Emma’s Pool
Minute 5 10 15 20
Depth (in.) 1 6 9 12
Tommy’s Height
Age (years) 1 3 5 7
Height (in.) 29 34 37 43
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Weights of Ike and EliTotal Snowfall on Joey’s Birthday
Depth of Water in Emma’s Pool
Tommy’s Height
PW155 Practice
Name Lesson 24.3
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Problem Solving Workshop Skill: Draw ConclusionsProblem Solving Skill PracticeSolve problems by using the skill draw conclusions.
1. USE DATA Ray graphed the total number of new visitors to his skateboarding Web page. Did more than 50 new people visit his page on most days?
2. Sam is traveling from Chicago to Seattle. The graph at the right shows how far the train travels every ten hours. If the trip is 2,206 miles, will the train make it to Seattle in 40 hours? Explain why or why not.
Mixed Applications
3. REASONING If you were to add the month of May to the graph at right, what conclusion can you draw about the snowfall for that month?
4. USE DATA Which months had, on average, more than 35 inches of snow?
A Jan. and Feb.
B Dec., Jan., Feb., and March
C Jan., Feb., March, and April
D All six months
Average Monthly Snowfall in Lake Tahoe
05
101520253035404550
Nov. Dec. Jan. Feb. Mar. AprilMonth
Snow
fall
Number of New Visits on Ray's Web Page
0100200300400500
1 2 3 4 5 6 7 8 9 10Day
Num
ber
of
New
Vis
its
Chicago to Seattle
580
1–10 11–20 21–30 31–40
560540520500
Mile
s Tr
avel
ed
480460440420
Hours
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Name Lesson 24.4
PW156 Practice
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Choose the Appropriate GraphTell whether each graph can show categorical data, numerical data, or both.
1.
2.
3.
4.
5.
6.
Choose the best type of graph or plot for the data. Explain your choice.
7. Hours Raul worked each of the past 6 days
8. Number of library books borrowed by 30 people
9. Water evaporated over 10 days
Problem Solving and Test Prep10. Draw a graph or plot that best displays
the set of data.
11. You have been given the task of finding the brand of sneakers 15 boys and 15 girls wear. Which graph would best show your results?
A Double-Bar Graph C Pictograph
B Stem-and-Leaf Plot D Line Graph
12. Describe a situation in which you would use a circle graph to show data.
Stem Leaves
1 1, 2, 3, 3, 5
2 6, 7, 9
3 0, 2, 2, 61 2 3 4 5
Visitors To The Alamo By The Minute
Minute Visitors
1 14
2 30
3 45
4 65
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Visitors to the Alamo by the Minute
Name Lesson 24.5
PracticePW157
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HSP
HSP
CALIF
ORNI
A
SPIRALREVIEW
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Spiral Review
Name Week 1
Spiral ReviewSR1
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For 1–3, round each number to
the place of the underlined digit.
1. 124,516,228
2. 6,732
3. 25,019
For 4–5, name the place to which each
number was rounded.
4. 76,812 to 80,000
5. 251,006,475 to 251,006,480
For 6–7, round 61,201,983 to the place
named.
6. hundred thousands
7. tens
For 12–14, find the median and
mode.
12. Goals ScoredGoals 1 2 3 4
Frequency 5 2 4 1
13. Miles Jogged
Week 1 2 3 4
Miles 7 8 6 7
14. Favorite Season
Season Win Spr Sum Fall
Frequency 4 7 3 6
Write a numerical expression.
Then, find the value.
15. Priya had 24 crayons. She broke 2 and bought 12 more.
For 16–17, write an algebraic expression.
16. Mrs. Green has 6 puppies. She is selling a few of them.
17. Janiesa bought 12 books and gave some to her brother.
For 18–19, find the value for each
expression.
18. 19 – y for y = 6
19. t + 12 for t = 3
For 8–11, find the perimeter of
each figure.
8. 9.
10. 11.
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Spiral Review
Name Week 2
Spiral Review
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SR2
For 1–4, write the value of the
underlined digit.
1. 2.65
2. 12.81
3. 5.97
4. 3.49
For 5–6, write each number in two other
forms.
5. 6.35
6. two and fourteen hundredths
For 9–11, use the picture. List
all possible outcomes of each
experiment.
9. tossing a penny
10. spinning the pointer
11. tossing the penny and spinning the
pointer
For 12–14, write an algebraic
expression.
12. Caroline had 37 songs in her MP3 player. She deleted some of them.
13. The original price was $15 but was
reduced by some number.
14. Forty-three increased by some number.
For 15–17, find the value for each
expression.
15. 17 – n for n = 4
16. p + 7 for p = 12
17. b – 8 for b = 8
For 7–8, tell whether the two
figures are congruent or not
congruent.
7.
8.
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Spiral Review
Name Week 3
Spiral Review
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SR3
For 1–12, estimate the product.
1. 23 × 44 2. 61 × 28
3. 57 × 214 4. 46 × 697
5. 425 × 19 6. $7.68 × 86
7. 61 × 926 8. 584 × 73
9. 836 × 5,927 10. 2,483 × 369
11. 82 × $93.71 12. 46 × 34,672
For 15–17, use the graph.
Find the product.
18.
4 � 15 �
For 19–22, use the Distributive Property
to find the product. Show your work.
19. 7 � 39 20. 8 � 76
21. 16 � 58 22. 19 � 43
For 23–24, use the Distributive Property
to solve for n.
23. 6 � 45 � (6 � 40) � (6 � n)
24. 4 � 78 � (4 � n) � (4 � 8)
For 13–14, find the length of each
line segment.
13. 654321
0 2 31 4 5 6x-axis
y-ax
is
14. 654321
0 2 31 4 5 6x-axis
y-ax
is
T-Shirt Sales
Month
Num
ber S
old
0Aug Sept Oct Nov Dec
1020304050
15. During which month were 30 T-shirts
sold?
16. How many T-shirts were sold
in September?
17. Describe a trend between October and November.
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Spiral Review
Name Week 4
Spiral Review
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SR4
For 1–4, use basic facts and
patterns to find the missing product
or quotient.
1. 30 � 10
2. 540 � 90
3. 4,200 � 6
4. $15,000 � 30
For 5–8, divide. Check your answer.
5. 32 ) ____
426 6. 47 ) ____
529
7. 21 ) ____
741 8. 74 ) ____
647
For 10–11, for each experiment,
tell whether events A and B are
equally likely or not equally likely. If they
are not equally likely, name the event
that is more likely.
10. Experiment: Spin the pointerEvent A: gray Event B: white
11. Experiment: Toss a 1–6 cubeEvent A: even numberEvent B: odd number
For 12–15, write an algebraic
expression for each phrase.
12. 15 books on each of b shelves
13. 22 more than m DVDs
14. $36 shared equally among y friends
15. 18 less than r
For 16–21, evaluate each expression
if a � 6.
16. a � 27 17. 24 � a
18. 14 × a 19. 19 − a
20. 32 � a 21. a � 3
Find the perimeter and area of
the figure. Then draw another
figure that has the same perimeter but a
different area.
9.
5 cm
3 cm
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Spiral Review
Name Week 5
Spiral ReviewSR5
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For 1–6, find the prime factorization.
You may use a factor tree.
1. 24 2. 70
3. 49 4. 55
5. 72 6. 16
For 7–9, find the number for each prime
factorization.
7. 2 � 3 � 2 � 3
8. 32 � 43
9. 53
For 14–16, choose the best type
of graph or plot for the data.
Explain your choices.
14. number of students in 7 classrooms
15. hours people spend fishing
16. population of deer over a 6-year period
Write a numerical expression.
Then, find the value. Tell what
the value represents.
17. Cody has 5 comic books. He gives 2 to a friend and buys 4 more.
For 18–19, write an algebraic expression.
18. Dr. Reyes has 10 patients today. A few of them cancel their appointments.
19. Angela delivers 35 papers, then delivers some more.
Find the value for the expression.
20. 124 � x for x � 10
For 10–13, name the any
relationships you see in each figure.
Write intersecting, parallel, or
perpendicular. Tell if the figure has acute,
right, obtuse, or straight angles.
10. 11.
12. 13.
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Spiral Review
Name Week 6
Spiral ReviewSR6
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For 1–4, use a number line to order
each set of numbers from least to
greatest.
1. 178
, 1.30, 114
2. 0.35, 0.45, 25
3. 158
, 1.75, 135
4. 1.95, 1.65, 17
10
For 9–10, place the numbers
where they belong in the Venn
diagram.
9.
Find the product.
10.
For 5–8, classify each figure in as
many of the following ways as
possible. Write quadrilateral,
parallelogram, rhombus, rectangle,
square, or trapezoid.
5. 6.
7. 8.
3 × 16
2, 6, 3, 9, 12, 4, 15, 18, 21
Multiples of 2 Multiples of 3
For 11–14, use the Distributive Property
to find the product. Show your work.
11. 8 × 17 12. 6 × 87
13. 13 × 24 14. 17 × 52
For 15–16, use the Distributive Property
to solve for n.
15. 3 × 94 � (3 × n) + (3 × 4)
16. n × 57 � (8 × 50) + (8 × 7)
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Spiral Review
Name Week 7
13 ft
6 ft
15 ft
8 ft
7 ft
7 ft
Spiral ReviewSR7
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For 1–10, find the sum or difference.
Write it in simplest form.
1. 25
� 25
� 2. 18
� 38
�
3. 49
� 19
� 4. 57
� 27
�
6. 34
� 14
� 5. 4
12 �
612
�
8. 89
� 29
� 7. 6
10 �
210
�
9. 56
� 26
� 10. 13
� 13
�
For 13–17, use the picture to find
the probability of each event.
For 18–21, write an algebraic
expression for each phrase.
18. 24 CDs on each of n shelves
19. 17 less than w
20. 27 markers shared equally among p friends
21. 16 more than y videos
For 22–25, evaluate each expression if
m = 5.
22. m + 33 23. 35 � m
24. 17 × m 25. 24 – m
For 11–12, solve a simpler problem
to solve.
13. pulling a 1
14. pulling a 2 or 3
15. pulling a 1 or 4
16. pulling a 2
17. pulling a tile that is not 3
11. A farmer used the area shown for an animal pen. He wants to put fence around the perimeter of the pen. How many feet of fencing should he buy?
12. What is the total area of the animal pen?
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Spiral Review
Name Week 8
Spiral ReviewSR8
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For 1–10, find the sum or difference
using fraction bars. Write it in
simplest form.
1. 25
� 2
10 � 2.
34
+ 13
�
3. 12
+ 16
� 4. 23
� 16
�
5. 34
� 12
� 6. 14
+ 38
�
7. 3
10 +
25
� 8. 58
� 14
�
9. 1112
� 56
� 10. 23
+ 29
�
For 18–19, use the graph.
For 20–21, write an algebraic
expression.
20. The original price was $25 but it was reduced by some number.
21. Gemma packed 28 boxes and she needed to pack some more boxes.
For 22–25, find the value for the
expression.
22. 46 + n for n � 18
23. a − 19 for a � 52
24. b − 8 for b � 26
25. 80 − x for x � 27
For 11–15, name a solid figure that
is described.
11. one circular face
12. all triangular faces
13. 5 faces
14. 12 edges
15. 4 vertices
For 16–17, would the net make a
cube. Write yes or no.
16. 17.
18. What is the mode for the data in the graph?
19. If five more children were on the slide, how would the mode change?
121086420
Swings Slide Teeter-Totter
MonkeyBars
Equipment
Children on Playground
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Spiral Review
Name Week 9
Spiral ReviewSR9
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For 1–8, estimate. Then find the
sum or difference. Write it in
simplest form.
1. �
2. �
3. 5
512
� 273
� 4. 599
� 12
3 �
5. 7
610
� 315
� 6. 134
� 26
3 �
For 10–12, use the double-bar
graph.
For 13–15, write an algebraic
expression.
13. James had $34 in his wallet. He spent some of the money.
14. Twenty-four decreased by some number.
15. Anna had 14 DVDs. She bought some more DVDs.
For 16–18, find the value for each
expression.
16. 14 + n for n � 6
17. p − 9 for p � 11
18. 15 − b for b � 7
For 7–9, construct circle A with a
2-centimeter radius. Label each
of the following.
7. radius ___
BA
8. chord CD
9. diameter FG
10. What two sets of data are compared in the graph?
11. Which careers have more men than
women? 12. Which career is least popular for
women?
9080706050403020100
Engineer Teacher Chemist DoctorCareer
Careers
Men
Women 142
538
38
4 1
312
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Spiral Review
Name Week 10
Spiral ReviewSR10
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For 1–4, find the product. Write it in
simplest form.
1. 13
� 37
� 2. 23
� 15
�
3. 25
� 34
� 4. 56
� 310
�
For 5–8, use a reciprocal to write a
multiplication problem for the
division problem.
5. 112
� 2 � 6. 7
12 �
14
�
7. 334
� 23
� 8. 58
� 14
�
Make an organized list
to solve.
11. Ken is making tickets for the fair. Each type of ticket will be a different color. There will be adult and child tickets. There will be 1-day, 2-day, and weekly tickets. How many different ticket colors will there be?
For 12–15, write an algebraic
expression for each phrase.
12. 8 groups of x items
13. r divided into 9 equal groups
14. 4 more than b items
15. $14 less than m
For 16–19, evaluate each
expression if z = 3.
16. z � 19 17. 27 � z
18 23 � z 19. 51 � z
For 9–10, find the area.
9. 14 ft
6 ft
10. 7 cm
7 cm
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Spiral Review
Name Week 11
Spiral ReviewSR11
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For 1–8, find the sum or difference.
1. 79.08 2. 194.503 �17.68 � 25.074
3. 4.572 4. 2.754 �8.059 � 0.348
5. 1.27 6. 3.5 � 3.185 � 0.78
7. 0.19 8. 12.703 0.581 9.635 � 1.487 �14.512
For 13–14, for each experiment,
tell whether events A and B are
equally likely or not equally likely. If
they are not equally likely, name the
event that is more likely
13. Experiment: Flip a coin Event A: heads Event B: tails
14. Experiment: Pick a marble, 4 gray, 5 black
Event A: gray Event B: black
For 9–12, tell whether the rays on
the circle show a , , , or a full
turn. Then identify the number of
degrees the rays have been turned.
9. 10.
11. 12.
For 15–16, write an algebraic
expression.
15. James spent $14 plus some more money.
16. Kate had 26 stickers and gave some away.
For 17–20, find the value for the
expression.
17. n � 17 for n � 23
18. a � 7 for a � 34
19. b � 14 for b � 43
20. 75 � x for x � 14
14
12
34
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Spiral Review
Name Week 12
1 2 3 4 50
✗ ✗ ✗ ✗✗ ✗✗ ✗
✗✗✗ ✗
✗✗
Number of Siblings
Spiral ReviewSR12
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For 1–8, estimate. Then
find the product.
1. 0.6 2. 2.4 � 0.7 � 0.8
3. 25.9 4. $7.40 � 0.3 � 2.7
5. 0.47 � 0.6 �
6. 0.452 × 3.6 �
7. 2.7 × 5.6 �
8. 0.68 × 0.3 �
For 10–12, use the line plot.
10. What is the range of the data?
11. How many siblings do most people have? How can you tell?
12. What would the line plot look like if everyone had 1 sibling?
Find the product.
13.
3 � 14 �
For 14–17, use the Distributive Property
to find the product.
14. 6 � 29 15. 7 � 83
16. 14 � 45 17. 12 � 37
For 18–19, use the Distributive Property
to solve for n.
18. 7 � 23 � (7 � 20) � (7 � n)
19. 6 � 83 � (6 � n) � (6 � 3)
Find the perimeter and area of the
figure. Then draw another figure
that has the same area but a
different perimeter.
9.
8 cm
6 cm
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Spiral Review
Name Week 13
Spiral ReviewSR13
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For 1–6 divide. Use multiplication to
check your answer.
1. 3.6)9.72 2. 14)396.2
3. 0.68)85 4. 3.9)0.273
5. 86.62 ÷ 0.61 6. 58.9 ÷ 0.38
For 11–15, use the picture to find
the probability of each event.
11. pulling a gray
12. pulling a gray or black
13. pulling a white
14. pulling a white or gray
15. pulling a blue
For 16–19, write an algebraic
expression for each phrase.
16. $64 shared among y people
17. 8 cars on each of s shelves
18. 13 more than x markers
19. 12 less than n
For 20–23, evaluate each
expression if p � 4.
20. p � 25 21. 32 � p
22. 17 � p 23. 42 � p
For 7–10, classify each triangle.
Write isosceles, scalene, or
equilateral.
7. 5 cm
5 cm
5 cm
8. 3 in.
4 in.
5 in.
9.
14 m
19 m9 m
10.
5 ft
8 ft8 ft
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Spiral Review
Name Week 14
Spiral ReviewSR14
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For 1–3, write in exponent form.
Then find the value.
1. 3 � 3 � 3 � 3 � 3
2. 5 � 5 � 5 � 5
3. 6 � 6 � 6
For 4–6, find the value.
4. 78
5. 82
6. 36
For 9–10, use the Favorite Type of
Music frequency table. Tell whether
each statement is true or false. Explain.
Favorite Type of MusicType of Music Votes
Country 43
Rock 37
Rap 34
9. More people chose rap than rock as their favorite.
10. Country music was chosen by more people than rock.
For 11–12, evaluate each
expression.
11. 35 – (18 + 6) 12. (63 � 7) + 5
For 13–18, use mental math to solve
each equation. Check your solution.
13. 38 – n = 13 14. 54 � t = 6
15. $4 × h = $32 16. k – 21
6 = 5
4
6
17. n + 22.4 = 72.9 18. 3 = h � 9
For 7–8, find the length of each
line segment.
7. 654321
0 2 31 4 5 6x-axis
y-ax
is
8. 654321
0 2 31 4 5 6x-axis
y-ax
is
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Spiral Review
Name Week 15
Spiral ReviewSR15
© H
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© H
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For 1–8, find the sum or difference.
1. �3 � �1 2. �5 � �5
3. �2 � �5 4. �5 � �3
5. �7 � �4 6. �6 � �3
7. �8 � �4 8. �4 � �4
11. Make a line plot to show thethe number of hours spent visiting the museum.
For 9–10, find the perimeter.
9.
10.
For 12–22, use properties and
mental math to find the value.
12. 29 � 28 � 21 �
13. 4 � 370 �
14. (46 � 58) � 4 �
15. 10 � 6 � 2 �
16. 6 � 7 � 5 �
17. 26 � 43 � 34 �
18. 4 � 8 � 5 �
19. 6 � 34 �
20. 87 � 61 � 3 �
21. 7 � 410 �
22. 43 � (16 � 24) �
Number of Hours Spent Visiting
Museum
Reponses: 1, 3, 4, 2, 5, 0, 1, 1, 3, 3, 4, 4, 4, 1, 2, 0, 3, 2
24 in.
37 in.
15 m
12 m
9 m
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Spiral Review
Name Week 16
Spiral ReviewSR16
© H
arco
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© H
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For 1–2, use a number line to order
each set of numbers from least to
greatest.
1. 85%; 78
; 0.95
2. 52%; 0.49; 49
Make a tree diagram to solve.
7. Kara tosses a dime and tosses a cube labeled 1 to 6. How many outcomes show tossing heads and an odd number?
For 8–10, solve each problem.
8. The equation 6 � d � $42 shows the total cost of 6 movie tickets. How much does each movie ticket cost?
9. The equation 9 � x � 4 shows the number of cars needed for a field trip. How many people are going on the field trip?
10. The equation 9 + b = 13 shows the total number of boys and girls in chess club. If b stands for the number of boys, how many boys are in chess club?
For 3–4, tell whether the figure
appears to have line symmetry,
rotational symmetry, both, or neither.
3. 4.
For 5–6, draw the line or lines of
symmetry.
5. 6.
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Spiral Review
Name Week 17
Spiral ReviewSR17
© H
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© H
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For 1–6, solve each percent
problem.
1. What is 70% of 500?
2. What percent of 60 is 5?
3. What is 40% of 125?
4. 15 is 75% of what number?
5. What is 12% of 80?
6. What percent of 44 is 11?
For 17–18, find the median and
mode.
17.
Miles Biked
Day Mon Tues Wed ThursMiles 8 12 10 8
18.
Rainfall
Month April May JuneInches 4 5 5
For 19–21, write an expression
for each situation. If you use a
variable, explain what the
variable represents.
19. Jim has 5 more than twice the number of pencils Carrie has.
20. Mary is 2 years younger than 3 times Justin’s age.
21. Ted has 2 fewer than 4 times the number of marbles Anna has.
For 7–12, use the figure. Name an
example of each.
7. ray 8. point
9. line 10. vertex
11. line segment
12. vertical angles
For 13–16, use the figure above. Classify
each angle. Write acute, obtuse, straight,
or right.
13. �DAB 14. �BAC
15. �HJF 16. �DAC
E
G
H
F
JBD
A C
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Spiral Review
Name Week 18
Spiral ReviewSR18
© H
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© H
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For 1–4, find the product.
1. 14
� 12
� 2. 35
� 13
�
3. 12
� 16
� 4. 18
� 23
�
For 5–8, use fraction bars to find the
quotient.
5. 1 � 14
� 6. 2 � 16
�
7. 14
� 18
� 8. 12
� 110 �
For 13–15, use the double-bar
graph.
For 16–19, use the Distributive
Property to find the value of
the expression.
16. 5 × (a + 5) if a = 6
17. 6 × (9 + b) if b = 5
18. 3 × (s – 3) if s = 7
19. 4 × (8 – m) if m = 4
For 20–23, what value makes the
expression true?
20. 7 × 29 = (7 × b) + (7 × 9)
21. 5 × 61 = (5 × 60) + (5 × z)
22. 3 × 54 = (3 × p) + (3 × 4)
23. 9 × 76 = (9 × 70) + (9 × r)
For 9–12, write the number of
faces, edges, and vertices.
Then classify each solid figure.
9. 10.
11. 12.
13. How many sets of data does the graph show?
14. Which activity has the greatest number of girls?
15. How many more girls than boys are signed up for drama club?
2520151050
DramaClub
ScienceClub
PoetryClub
Soccer
Activity
Boys
Girls
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Spiral Review
Name Week 19
© H
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© H
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SR19 Spiral Review
For 1–8, estimate by rounding.
1. 29.63 2. 187.965 �18.05 � 38.714
3. 4.139 4. 2.763 �7.652 �0.509
5. 93.47 � 62.13
6. 11.042 � 8.765
7. 143.869 � 110.062
8. 0.654 � 0.398
For 17–22, identify the ordered
pair for each point.
-2
-2
-1-1
-3
-3
-4
-4
+5+6
+5 +6x
y
-5-6
-5-6
+1
+1
+2
+2
+3
+3
+4
+40A
D
E
F
C
B
17. point A 18. point B
19. point C 20. point D
21. point E 22. point F
For 9–16, tell if the given angle
measures would form the figure
named.
9. triangle; 10. quadrilateral; 80�; 40�; 60� 90�; 90�; 90�, 90�
11. triangle; 12. quadrilateral; 50�; 100�; 50� 30�; 40�; 50�, 60�
13. triangle; 14. quadrilateral; 50�; 65�; 65� 55�; 125�; 135�, 45�
15. triangle; 16. quadrilateral; 60�; 60�; 60� 120�; 35�; 75�, 40�
For 23–24, find the rule to
complete the function table.
Then write the rule as an equation.
23. input, x 18 14 12 10 8
output, y 9 8 7 5
24. input, x 16 9 14 13
output, y 8 6 7
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Spiral Review
Name Week 20
Spiral Review
© H
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urt
© H
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SR20
For 1–6, divide. Use multiplication
to check your answer.
1. 3.6 ) _____
9.72 2. 14 ) ______
396.2
3. 0.68 ) ___
85 4. 3.9 ) ______
0.273
5. 86.62 � 0.61 6. 58.9 � 0.38
For 9, write the ordered pairs for
the points on the grid below.
For 7–8, find the perimeter of
each polygon.
7. 23 cm
16 cm
11 cm11 cm
8. 9 in.
For 10–17, change the given unit.
10. 36 in. � ft
11. 8 yd � ft
12. 3 mi � yd
13. 3.5 m � cm
14. 120 mm � cm
15. 7,300 cm � m
16. 156 in. � ft
17. 1.5 km � m
6789
10
54321
0 2 31 4 5 7 8 9 106x-axis
y-ax
is
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Spiral Review
Name Week 21
Spiral Review
© H
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© H
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SR21
For 1–6, find the value.
1. 109
2. 105
3. 104
4. 17
5. 103
6. 92
For 7–8, write in exponent form.
Then find the value.
7. 2 � 2 � 2 � 2
8. 7 � 7 � 7 � 7 � 7 � 7
For 11, use the function table to
write the 4 ordered pairs. Then
graph.
11. y � 2x � 4
x 2 3 4 5
y 0 2 4 6
For 9–10, find the area of each
triangle or parallelogram.
9.
9 cm
14 cm
10.
8.2 m
10.4 m
For 12–17, identify the ordered
pair for each point.
12. point A 13. point B 14. point C
15. point D 16. point E 17. point F
-2
-2
-1-1
-3
-3
-4
-4
+5
+5x
y
-5
-5
+1
+1
+2
+2
+3
+3
+4
+40
A
B
C
DE
F
x
y
6
8 9 10
7
5 4 3 2 1
0 2 3 1 4 5 7 8 9 10 6
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Spiral Review
Name Week 22
-2
-2
-1-1
-3
-3
-4
-4
+5
+5x
y
-5
-5
+1
+1
+2
+2
+3
+3
+4
+40
Spiral Review
© H
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urt
© H
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SR22
678910
54321
0 2 31 4 5 7 8 9 106x-axis
y-ax
is
Find the sum or difference.
1. 85.19 2. 251.895 � 37.48 � 75.362
3. 7.081 4. 3.582 � 6.254 � 0.763
5. 0.85 6. 11.804 0.063 6.137 � 3.572 � 15.749
For 9–14, identify the ordered
pair for each point on the
coordinate grid.
9. point A 10. point B
11. point C 12. point D
For 7–8, find the surface area in cm2.
7.
8.
Use the equation to fill in the
function table 4. Then graph.
13. y � x � 3
x �4 �2 0 2
y
B
C
A
D
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Spiral Review
Name Week 23
15 cm
15 cm
26 ft
13 ft
Spiral ReviewSR23
© H
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© H
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For 1–3, write each percent as a
decimal and as a fraction in
simplest form.
1. 36%
2. 74%
3. 40%
For 4–6, write each fraction or decimal as
a percent.
4. 1225
5. 0.06
6. 920
For 9–12, find the mean for
each set of data.
9. 13, 8, 11, 9, 14
10. $68, $73, $86, $61
11. 23.4, 18.6, 21.3
12. 7.8, 6.3, 9.8, 2.7, 4.6
For 13–15, use the given mean to find the
missing value in each set of data.
13. 17, 12, 18, ; mean: 13
14. 6.9, 8.4, 7.3, ; mean: 8.1
15. 78, 93, 86, ; mean: 82
For 16–18, solve each
problem.
16. A scientist uses the formula 9 � b � 3.2 during an experiment. What value of b makes the formula true?
17. The teacher uses the equation c � 12 = 72 to determine the number of cars needed for the field trip. What value makes the equation true?
18. The equation 8 � b = $56 stands for the total cost of 8 go-kart rides. What is the cost of one go-kart ride?
For 7–8, find the area of each
figure.
7.
8.
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Spiral Review
Name Week 24
Spiral ReviewSR24
© H
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© H
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For 1–3, find the prime factorization.
1. 54
2. 72
3. 16
For 4–6, find the number for each
prime factorization.
4. 2 � 2 � 2 � 13
5. 2 � 2 � 2 � 2 � 2� 2
6. 2 � 2 � 11 � 11
For 9–11, use the graph.
9. How many more spectators were in the age group 40–49 than in 0–9?
10. Which age group had the most spectators?
11. How many spectators were younger than 40 years old?
For 7–8, find the volume of each
rectangular prism.
7.
8.
For 12–14, find the rule to
complete the function table.
Then write the rule as an equation.
12. input, x 24 18 12
output, y 8 4 2
13. input, x 2 6 8
output, y 4 10 16
14. input, x 20 16 14
output, y 11 9 7
3 yd
3 yd15 yd
7 ft
7 ft
7 ft
Age Group
Ages of Spectators at a Game
0–9 40–49 50–5930–3920–2910–19
Num
ber o
f Spe
ctat
ors
0
10
20
30
40
50
60
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Spiral Review
Name Week 25
Spiral ReviewSR25
© H
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urt
© H
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urt
For 1–4, find the product.
Write it in simplest form.
1. 14
� 23
= 2. 45
� 14
=
3. 56
� 23
= 4. 12
� 38
=
For 5–8, use a reciprocal to write a
multiplication problem for the division
problem.
5. 1 14
� 5 = 6. 512
� 13
=
7. 2 12
� 7
10 = 8. 3
8 �
14
=
For 12–13, tell how the data
sets compare.
12. Joe’s Marbles
21 16 25 23 17 24
Sara‘s Marbles
19 27 22 20 26 24
13.
For 14–19, use the Distributive
Property to find the product.
14. 6 � 43 15. 8 � 67
16. 13 � 54 17. 16 � 26
18. 17 � 37 19. 14 � 63
For 20–21, use the Distributive
Property to solve for n.
20. 7 � 29 � (7 � 20) � (7 � n)
21. 4 � 93 � (4 � n) � (4 � 3)
For 9–11, match each solid figure
with its net.
9. 10. 11.
a. b c.
Fiction Books Read
12 18 14 20 17 15
Non-fiction Books Read
15 19 13 17 23 21
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Spiral Review
Name Week 26
Spiral ReviewSR26
© H
arco
urt
© H
arco
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For 1–8, find the sum or
difference.
1. �4 � �2 2. �3 � �3
3. �4 � �1 4. �6 + �2
5. �5 � �2 6. �8 � �3
7. �7 � �4 8. �2 � �2
For 13–15, use the graph.
T-Shirt Sales
Month
T-Sh
irt S
old
Aug DecOct NovSept
50
40
30
20
10
0
13. What scale and interval are used in the line graph?
14. How would you change the graph if 20
T-Shirts were sold in November?
15. How many more T-Shirts were sold in
September than October?
For 16–21, identify the
ordered pair for each point.
A
B
D
-2
-2
-1-1
-3
-3
-4
-4
+5
+5x
y
-5
-5
+1
+1
+2
+2
+3
+3
+4
+40EF
C
16. point A 17. point B 18. point C
19. point D 20. point E 21. point F
For 9–10, classify each triangle.
Write isosceles, scalene,
or equilateral.
9.
5 cm
8 cm11 cm
10.
9 ft
14 ft14 ft
For 11–12, classify each triangle.
Write acute, right or obtuse.
11. 12.
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Spiral Review
Name Week 27
Spiral ReviewSR27
© H
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urt
© H
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urt
For 1–8, estimate. Then find
the sum or difference.
Write it in simplest form.
1. 2
12
�3 34
2. 5
23
�1 29
3. 5
14
�3 38
4. 8
34
�3 12
5. 3
25
�4 3
10
6. 6
56
�2 23
7. 17
10 � 2
25
� 8. 389
� 123
�
For 11–14, use the double-bar
graph below.
Favorite Summer Olympic Events
40
30
20
10
0
Tenn
is
Baske
tball
Baseb
all
Event
Num
ber o
fStu
dent
s
Triath
lon
Boys
Girls
11. How many students liked basketball the most?
12. How many more boys than girls chose
baseball as their favorite Olympic event?
13. Which event was most popular among
the girls?
14. Which event was least popular overall?
Use the equation to fill in the
function table for x � 1 to 4.
Graph the coordinates below.
15. y � 2x � 4
x
y
-2
-2
-1-1
-3
-3
-4
-4
+5
+5x
y
-5
-5
+1
+1
+2
+2
+3
+3
+4
+40
For 9–10, find the area
of each triangle.
9.
18 ft
12 ft
10.
14 in.
8 in.
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Spiral Review
Name Week 28
Spiral ReviewSR28
© H
arco
urt
© H
arco
urt
For 1–3, write each percent as
a decimal and as a fraction in
simplest form.
1. 47%
2. 26%
3. 54%
For 4–6, write each fraction or
decimal as a percent.
4. 57100
5. 0.19
6. 0.02
For 17–19, use the circle graph.
Weight Lifting Workout (min.)
AbdomenMuscles,
10
Arms,20
UpperBody,
15
Legs,15
17. Which part of the workout takes the least time?
18. What parts of the workout take the
same amount of time?
19. What part of the whole workout are
arm exercises?
For 7–10, tell the appropriate unit
for measuring each. Write linear,
square, or cubic.
7. length
8. area
9. perimeter
10. volume
For 11–16, tell the units you would
use for measuring each. Write linear,
square, or cubic.
11. space inside a box
12. fence to enclose a yard
13. size of a classroom
14. wrapping paper for a box
15. distance around a package
16. width of a student desk
For 20–22, write an expression
for each situation. If you use a
variable, explain what the
variable represents.
20. James has 12 game cards. He draws 7 more cards and gives away 5 cards.
21. Maria ran 200 fewer yards than twice
the distance John ran.
22. Sarah divides her pictures equally among 3 friends.
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Spiral Review
Name Week 29
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For 1–4, use a number line to order
each set of numbers from greatest
to least.
1. 138, 1.40, 1
15
2. 0.65, 0.55, 35
3. 134, 1.20, 1
28
4. 1.35, 1.85, 14
10
For 7–12, write the ordered
pair for each point.
x
y
0-1 -1
+1
-2
-2
+2
+2-3
-3
+3
+3-4-5-6
-4-5-6
+4+5+6
+4 +5 +6+1
AB
F
C
D
E
7. point A 8. point B
9. point C 10. point D
11. point E 12. point F
For 13–15, write a numerical
expression. Then, find the value.
Tell what the value represents.
13. Carol had 16 stickers. She gave 5 away and got 2 more.
14. Stan has 18 songs on his MP3 player. He deletes 6 songs and adds 8 new songs.
15. Kelly borrowed 7 books from the library. She then borrowed 5 more books and returned 3 books.
For 5–6, find the surface area in cm2.
5.
6.
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Spiral Review
Name Week 30
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For 1–3, find the prime factorization.
1. 30
2. 45
3. 81
For 4–6, find the number for each prime
factorization.
4. 2 × 2 × 3 × 7
5. 2 × 3 × 2 × 3 × 2 × 3
6. 13 × 13 × 3
For 9–11, use the graph.
Find the product.
12.
4 × 13
For 13–16, use the Distributive Property
to find the product. Show your work.
13. 6 × 24 14. 9 × 63
15. 13 × 72 16. 18 × 53
For 17–18, use the Distributive Property
to solve for n.
17. 9 × 36 = (9 × n) + (9 × 6)
18. 7 × 58 = (7 × 50) + (7 × n)
For 7–8, estimate the area of the
figure. Each square on the grid
is 1 cm2.
7.
8.
9. What scale and interval are used in the line graph?
10. How would you change the graph if
the temperature for August were 80°F?
11. What temperature is represented by
the ordered pair (June, 73)?
Average Monthly Temperature (ºF)
Tem
pera
ture
Month
0May June July Aug Sep
20406080
100
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Spiral Review
Name Week 31
Spiral ReviewSR31
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For 1–4, round each number to
the place of the underlined digit.
1. 37.654
2. 148.907
3. 0.413
4. 8.645
For 5–8, name the place to which each
number was rounded.
5. 476.807 to 476.81
6. 11.084 to 11.1
7. 29.376 to 29.38
8. 10.785 to 11
For 13–15, find the median and
the mode for each set of data.
13. 8, 6, 12, 10, 8
14. 12.4, 13.7, 11.5, 8.2, 13.7
15. $30, $10, $70, $80
Find the median and the mode for the set
of data. Tell how the median and the
mode compare.
16. 9.5, 7.5, 13.5, 7.5, 9.5
For 18–23, graph and label the
ordered pairs on the coordinate
plane.
17. M (4, �3) 18. N (�1, �4)
19. P (�4, 0) 20. R (�5, 3)
21. S (0, �1) 22. T (2, 1)
-2
-2
-1-1
-3
-3
-4
-4
+5
+5x
y
-5
-5
+1
+1
+2
+2
+3
+3
+4
+40
For 9–12, classify each figure in as
many ways as possible. Write
quadrilateral, parallelogram, square,
rectangle, rhombus, or trapezoid.
9. 10.
11. 12.
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Spiral Review
Name Week 32
Spiral ReviewSR32
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For 1–2, use a number line to order
each set of numbers from least to
greatest.
1. 20%; 3 __ 5 ; 0.35
2. 65%; 0.72; 3 __ 4
A food company wants to know if
people ages 18–40 like their new
pasta. For 11–13, tell whether
each sample represents the
population. If it does not, explain.
11. a random sample of 500 women, ages 18–40
12. a random sample of 500 people, ages 18–40
13. a random sample of 500 adults
For 14–16, find the rule to
complete the function table.
Then write an equation.
14. x 0 1 2 4
y 0 6 18 24
15. x 12 10 8 6 4
y 6 4 2
16. x 8 6 4 2 0
y 4 0 �2
For 3–10, tell if the given angle
measures would form the figure
named.
3. triangle;50�; 50�; 50�
4. quadrilateral;75�; 90�; 120�, 75�
5. triangle;30�; 100�; 50�
6. quadrilateral;80�; 80�; 80�, 80�
7. triangle;20�; 85�; 75�
8. quadrilateral;130�; 55�; 65�, 110�
9. triangle;45�; 45�; 45�
10. quadrilateral;110�; 75�; 60�, 115�
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Spiral Review
Name Week 33
Spiral Review
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SR33
For 1–8, find the quotient.
1. 6 ) _____
20.4 2. 2 ) ______
$9.66
3. 23 ) ______
59.11 4. 53 ) ______
75.26
5. 7.62 � 3 6. 3.78 � 14
For 9–12, choose the best type
of graph or plot for the data.
Explain your choices.
9. number of students in 7 classrooms
10. hours people spend fishing
11. different seating sections of a stadium
12. population of deer over a 6-year period
For 9–12, write the number of faces,
edges, and vertices.Then classify
each solid figure.
7. 8.
For 13–22, use mental math to
solve each equation. Check
your solution.
13. 64 � n � 47 14. 99 � t � 33
15. $7 � h � $42 16. K � 5 1 __ 3 � 9 1 __
3
17. n � 21.2 � 84.5 18. 6 � h � 12
19. 14.8 � x � 3 20. b � 1.2 � 4
21. m � 13.5 � 24.3 22. 5.9 � x � 1.2
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Spiral Review
Name Week 34
Spiral Review
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SR34
For 1–4, find the product.
1. 1 __ 3 � 1 __ 5 2. 1 __ 2 � 2 __
5
3. 2 __ 3 � 1 __ 6 4. 3 __ 8 � 1 __
4
For 5–8, use fraction bars to find the
quotient.
5. 1 � 1 __ 5 6. 2 � 1 __
8
7. 1 __ 3 � 1 __
6 8. 1 __
3 � 1 __
9
Write the ordered pairs.
Then graph them.
11. number of sides, x 3 6 9 12
number of triangles, y 1 2 3 4
For 9–10, find the area of each
parallelogram.
9.
22 ft
7 ft
10.
13cm
15cm
For 12–13, evaluate each
expression.
12. 16 � 2 � 19 13. 59 � (48 � 16)
For 14–15, evaluate the algebraic
expression for the given value of the
variable.
14. 23 � n + 15 if n = 12
15. 3d + 9 if d = 2.4
6789
101112
54321
0 2 31 4 5 7 8 9 10 11 126x-axis
y-ax
is
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Spiral Review
Name Week 35
-2
-2
-1-1
-3
-3
-4
-4
+5
+5x
y
-5
-5
+1
+1
+2
+2
+3
+3
+4
+40
Spiral Review
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SR35
For 1–3, solve each percent problem.
1. 11.25 is 75% of what number?
2. What is 47% of 65?
3. What percent of 596 is 149?
For 4–6, write each percent as a decimal
and as a fraction in simplest form.
4. 23%
5. 18%
6. 90%
For 9–11, use the graph.
Average Low Monthly Temperature
Month
Tem
pera
ture
in (°
F)
0Jan Feb March April May
102030405060
9. What scale and interval are used in the line graph?
10. How would the graph change if the temperature in January was 30�F?
11. What temperature is represented
by the ordered pair (April, 38)?
For 7–8, find the surface area in cm2.
7.
8.
Use the equation to fill in
the function table Then graph.
12. y � x � 3
x
y
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Spiral Review
Name Week 36
Spiral Review
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SR36
-2
-2
-1-1
-3
-3
-4
-4
+5
+5x
y
-5
-5
+1
+1
+2
+2
+3
+3
+4
+40
For 1–6, find the product.
1. 0.48 2. 7.2 � 0.05 � 0.005
3. 0.006 � 0.04
4. 0.09 � 0.03
5. $4 � 0.007
6. 1.005 � 0.16
For 9–11, find the mean, median
and mode for each set of data.
9. 18, 6, 15, 6, 13, 8
10. $38, $33, $38, $31, $35
11. 15, 21, 18, 21, 24, 16, 18
For 13–15, use the given mean to find
the missing value in each set of data.
12. 28, 23, 38, ; mean: 27
13. $6, $8, $19, $13, ; mean: $14
14. 28, 23, 26, ; mean: 22For 7–8, find the volume of each
rectangular prism.
7. 6 cm
5 cm
18 cm
8.
13 in
7 in.7 in.
For 16–21, graph and label
the ordered pairs on the
coordinate plane.
15. A (�3, �1) 16. B (0, �5)
17. C (4, 2) 18. D (�4, 1)
19. E (�5, �2) 20. F (3, �2)
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