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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


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


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


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


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


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


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

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PracticePW10


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

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PracticePW11 Practice


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


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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Name Lesson 2.4

PW12 Practice


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

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PracticePW13


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


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


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


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

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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


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

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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


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


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


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


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


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

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PW27


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


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

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PracticePracticePW28


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


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


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


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

MXECA09AWK5X_PH_C05_L2.indd Page PW32 8/1/09 12:17:57 AM elhi-2MXECA09AWK5X_PH_C05_L2.indd Page PW32 8/1/09 12:17:57 AM elhi-2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch05/MXECA09AWK5X_PH_C05_L2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch05/MXECA09AWK5X_PH_C05_L2

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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


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


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


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


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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MXECA09AWK5X_PH_C05_L5.indd Page 1 8/9/09 4:35:15 AM elhi-2MXECA09AWK5X_PH_C05_L5.indd Page 1 8/9/09 4:35:15 AM elhi-2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch05/MXECA09AWK5X_PH_C05_L5/Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Ch05/MXECA09AWK5X_PH_C05_L5

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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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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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


PracticePW49

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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


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


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


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


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


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?


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


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

_

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PW55 Practice


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


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


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


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


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


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


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


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


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


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


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


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


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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Name Lesson 12.5

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


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


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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Name Lesson 12.7

PW78 Practice


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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Name Lesson 13.1

PW79 Practice


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


Practice


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


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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Name Lesson 13.3

PracticePW81

Name Lesson 13.3

Practice


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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Name Lesson 13.4

PW82 Practice


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


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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Name Lesson 13.5

PW83

Name Lesson 13.5

Practice


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


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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Name Lesson 13.7

PracticePW85 Practice


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.


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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Name Lesson 14.1

PW86 Practice


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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PW88 Practice

Name Lesson 14.3


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


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


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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


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


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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PW92

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|


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


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


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

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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


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 �


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


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


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


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


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


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?


5. 3 is 2% of what number?


7. What is 75% of 124?

8. What is 20% of 66?






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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Name Lesson 16.5

PW104 Practice


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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Name Lesson 16.6


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


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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Name Lesson 17.4

PW110 Practice


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°


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


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


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


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


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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Name Lesson 18.4


Nets for Solid FiguresMatch each solid figure with its net.

1.

2.

3.

4.

a. b. c. d.


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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Name Lesson 18.5

PracticePW120


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


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


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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Practice PW125

Name Lesson 19.3


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


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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Name Lesson 19.6

PW128 Practice


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


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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Practice

Name Lesson 20.1

PW129


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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PW130 Practice

Name Lesson 20.2


Find PerimeterFind the perimeter of each polygon.

1.

2.

3.

4.

5.

6.

7.

8.


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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Name Lesson 20.3

PracticePW131


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


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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Name Lesson 20.5

PracticePW133


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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PracticePW134

Name Lesson 20.6


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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PW135 Practice


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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PW136 Practice



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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PW138

Name Lesson 21.4

Practice


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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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


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


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


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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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


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


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


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


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


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


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


Compare DataCompare the data sets. Tell how the data sets compare.

1.

2.


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


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


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?


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


Make Histograms Use the data to make a histogram.

1. 2.


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


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


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


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.


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.


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


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.


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


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.


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



11. 8 × 17 12. 6 × 87

13. 13 × 24 14. 17 × 52


to solve for n.

15. 3 × 94 � (3 × n) + (3 × 4)

16. n × 57 � (8 × 50) + (8 × 7)


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.



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?


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

�



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


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.


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.


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


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?



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


Spiral Review

Name Week 11

Spiral ReviewSR11

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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.


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


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 �


to find the product.

14. 6 � 29 15. 7 � 83

16. 14 � 45 17. 12 � 37


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


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



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


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


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.


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


Spiral Review

Name Week 15

Spiral ReviewSR15

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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


Spiral Review

Name Week 16

Spiral ReviewSR16

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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.


Spiral Review

Name Week 17

Spiral ReviewSR17

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For 1–6, solve each percent

problem.

1. What is 70% of 500?


3. What is 40% of 125?


5. What is 12% of 80?



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


Spiral Review

Name Week 18

Spiral ReviewSR18

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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 �


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


Spiral Review

Name Week 19

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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�




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

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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


Spiral Review

Name Week 21

Spiral Review

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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



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


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

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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


pair for each point on the

coordinate grid.



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

MXECA09AWK5X_SR_WK22.indd Page SR:1 7/30/09 3:03:17 AM elhi-2MXECA09AWK5X_SR_WK22.indd Page SR:1 7/30/09 3:03:17 AM elhi-2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Sprial Review/MXECA09AWK5X_SR_WK22/Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Sprial Review/MXECA09AWK5X_SR_WK22

Spiral Review

Name Week 23

15 cm

15 cm

26 ft

13 ft

Spiral ReviewSR23

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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?


figure.

7.

8.


Spiral Review

Name Week 24

Spiral ReviewSR24

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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


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.



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


Spiral Review

Name Week 25

Spiral ReviewSR25

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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.


Property to find the product.

14. 6 � 43 15. 8 � 67

16. 13 � 54 17. 16 � 26

18. 17 � 37 19. 14 � 63


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


Spiral Review

Name Week 26

Spiral ReviewSR26

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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


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


Write isosceles, scalene,

or equilateral.

9.

5 cm

8 cm11 cm

10.

9 ft

14 ft14 ft


Write acute, right or obtuse.

11. 12.


Spiral Review

Name Week 27

Spiral ReviewSR27

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For 1–8, estimate. Then find

the sum or difference.


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

�


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.


Spiral Review

Name Week 28

Spiral ReviewSR28

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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.


Spiral Review

Name Week 29

Spiral ReviewSR29

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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


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



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.


5.

6.


Spiral Review

Name Week 30

Spiral ReviewSR30

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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


Find the product.

12.

4 × 13



13. 6 × 24 14. 9 × 63

15. 13 × 72 16. 18 × 53


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.


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


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


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.


Spiral Review

Name Week 32

Spiral ReviewSR32

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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



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�


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


Spiral Review

Name Week 34

Spiral Review

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SR34


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


parallelogram.

9.

22 ft

7 ft

10.

13cm

15cm


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


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

© H

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© H

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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?


For 4–6, write each percent as a decimal

and as a fraction in simplest form.

4. 23%

5. 18%

6. 90%


Average Low Monthly Temperature

Month

Tem

pera

ture

in (°

F)

0Jan Feb March April May

102030405060


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)?


7.

8.

Use the equation to fill in

the function table Then graph.

12. y � x � 3

x

y

MXECA09AWK5X_SR_WK35.indd Page SR:1 8/12/09 8:08:39 PM elhi-2MXECA09AWK5X_SR_WK35.indd Page SR:1 8/12/09 8:08:39 PM elhi-2 /Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Sprial Review/MXECA09AWK5X_SR_WK35/Volumes/105/HMH0002/work%0/indd%0/Grade 5_PW/Sprial Review/MXECA09AWK5X_SR_WK35

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


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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Workbook - fres.wpusd.orgfres.wpusd.org/subsites/Daisy-Damos/documents/G5PR_SE.pdf · Grade 5 CALIFORNIA PRACTICE Workbook ... 1.6 Mental Math: Addition and ... © Harcourt PW1 Practice