South Carolina Algebra I End-of-Course Test … Test Preparation and Practice Teacher’s Guide Help for the South Carolina ... Standards Review EA-2: The Real Number System and Operations

South Carolina Algebra IEnd-of-CourseTest Preparation and PracticeTeacher’s GuideHelp for the South Carolina Algebra I Test

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ISBN 13: 978-0-547-36508-4ISBN 10: 0-547-36508-X

1 2 3 0956 12 11 10 09

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iii

South Carolina Algebra 1Test Preparation for the EOCEP

To the Teacher iv

Diagnostic Test 1–13

Standards Review

EA-2: The Real Number System and Operations

1. EA-2.1 The Real Number System 14

2. EA-2.2 Exponents and Roots 16

3. EA-2.3 Scientifi c Notation 18

4. EA-2.4 Dimensional Analysis 20

5. EA-2.5 Use the Properties of Real Numbers 22

6. EA-2.6 Evaluate Expressions 24

7. EA-2.7 Simplify Polynomial Expressions 26

8. EA-2.8 Factor Binomials, Trinomials, and Polynomials 28

9. EA-2.9 Matrices 30

10. EA-2.10 Apply Matrices to Solve Problems 32

EA-3: Relationships and Functions

11. EA-3.1 Functions 34

12. EA-3.2 Function Notation 36

13. EA-3.3 Evaluate Functions 38

14. EA-3.4 Continuous Functions 40

15. EA-3.5 Graph Parent Functions 42

16. EA-3.6 Direct and Inverse Variation 44

17. EA-3.7 Literal Equations 46

18. EA-3.8 Apply Proportional Reasoning to Solve Problems 48

EA-4: Linear Equations and Inequalities

19. EA-4.1 Write the Equation of a Line Given the Slope and y-Intercept 50

20. EA-4.2 Write the Equation of a Line Given the Slope and a Point on the Line 52

21. EA-4.3 Write the Equation of a Line Given Two Points on the Line 54

22. EA-4.4 Write the Equation of a Trend Line for a Given Scatterplot 56

23. EA-4.5 Analyze a Scatterplot 58

24. EA-4.6 Represent Linear Equations in Multiple Forms 60

25. EA-4.7 Solve Linear Equations 62

26. EA-4.8 Solve Linear Inequalities 64

27. EA-4.9 Solve Systems of Linear Equations Graphically 66

28. EA-4.10 Solve Systems of Linear Equations Algebraically 68

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iv

EA-5: Graphs and Characteristics of Linear Equations and Inequalities

29. EA-5.1 Graph a Line Given the Equation of the Line 70

30. EA-5.2 Analyze How Changes in m and b Affect the Graph of y = mx + b 72

31. EA-5.3 Graph a Line Given its Slope and y-Intercept 74

32. EA-5.4 Graph a Line Given its Slope and a Point on the Line 76

33. EA-5.5 Determine the x- and y-Intercept of a Line 78

34. EA-5.6 Determine the Slope of a Line 80

35. EA-5.7 Apply the Concept of Slope to Solve Problem 82

36. EA-5.8 Perpendicular and Parallel Lines 84

37. EA-5.9 Write a Linear Function that Models a Situation 86

38. EA-5.10 Determine the Domain and Range of a Linear Function in a Problem Situation 88

39. EA-5.11 Write a System of Equations to Model a Problem Situation 90

40. EA-5.12 Write a Linear Inequality to Model a Problem Situation 92

EA-6: Quadratic Relationships and Functions

41. EA-6.1 Analyze How Changing a Affects the Graph of y = ax2 94

42. EA-6.2 Analyze How Changing c Affects the Graph of y = ax2 + c 96

43. EA-6.3 Determine the Equation of a Quadratic Function Given the Graph 98

44. EA-6.4 Solve Quadratic Equations by Factoring 100

45. EA-6.5 Approximate the Solutions of Quadratic Equations by Graphing 102

46. EA-6.6 Determine the Domain of a Quadratic Function in a Problem Situation 104

Practice Test 106–118

Grid in Answer Sheets 119–122

Answer Key 123–135

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v

To the TeacherThis book is designed to help your students practice for the South Carolina End-of-Course Exami-nation for Algebra 1 and Mathematics for the Technologies 2. It is arranged in fi ve sections that match the organization of the South Carolina Elementary Algebra content standards. These sections consist of multiple-choice questions that will test your student’s understanding of the following concepts and skills:

• demonstrate understanding of the real numbers and perform operations that involve exponents matrices, and algebraic expressions

• demonstrate understanding of relations and functions

• write and solve linear equations and inequalities

• demonstrate understanding of the graphs and characteristics of linear equations and inequalities

• demonstrate understanding of quadratic relationships and functions

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1Diagnostic Test

Algebra I Standards ReviewSouth Carolina

1. Both x and y are irrational numbers. What kind of number can xy be?

A. an integer

B. a rational number

C. an irrational number

D. all of the above

2. Given that Ï}

3x15y can be simplifi ed to an integer, what can you conclude about

x and y?

A. x and y are odd

B. x and y are even

C. x is odd, y is even

D. x is even, y is odd

3. A star is 5.7 light-years from Earth. If 1 light-year is 5.87 ! 1012 miles, how many miles from Earth is the star?

A. 1.64 ! 107 miles

B. 3.3459 ! 108 miles

C. 3.3459 ! 1012 miles

D. 3.3459 ! 1013 miles

4. A rectangular dog run has an area of 48,862 square inches. Which of the following expressions can you use to convert 48,862 square inches to its equivalent in square yards?

A. 48,862 in.2 ! 1 ft2 }

144 in.2 ! 9 ft2

} 1 yd2 = ? yd2

B. 48,862 in.2 ! 144 in.2 }

1 ft2 !

1 yd2

} 9 ft2

= ? yd2

C. 48,862 in.2 ! 144 in.2 }

1 ft2 ! 9 ft2

} 1 yd2 = ? yd2

D. 48,862 in.2 ! 1 ft2 }

144 in.2 !

1 yd2

} 9 ft2

= ? yd2

Diagnostic Test

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2Standards Review

South CarolinaDiagnostic TestAlgebra I

5. Sarah and Renaldo are bringing trays of appetizers to a party. Sarah brings x trays of 16 appetizers each, and Renaldo brings y trays of 16 appetizers each. Which expression could be used to represent the total number of appetizers?

A. x + (16y) B. 16(x + y)

C. (xy) + 16 D. x(y + 16)

6. What is the value of 3 - x } 5 - x when x = 6?

A. -9

B. -3

C. 3

D. 9

7. Simplify:

(3x4 + 2x3 - 5x + 3) + (6x2 - 2x + 1)

A. -3x4 - 4x3 - 5x + 2

B. 9x4 + 4x3 - 5x + 4

C. 3x4 + 2x3 - 6x2 - 3x + 2

D. 3x4 + 2x3 + 6x2 - 7x + 4

8. Factor x2 - 49.

A. (x + 49)(x + 1)

B. (x - 49)(x + 1)

C. (x + 7)(x + 7)

D. (x - 7)(x + 7)

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3Diagnostic Test


9. Multiply 2 [11 13]

A. [22 26]

B. [26 22]

C. [-22 -26]

D. [-26 -22]

10. Bob and Jen work at a clothing store. Bob sells 3 pairs of pants, 4 blouses, and 7 T-shirts. Jen sells 4 pairs of pants, 2 blouses, and 6 T-shirts. Which matrix represents their sales?

A. F 3 4 4 7 2 6

G B. F 3 4 7 6 2 4 G C. F 3 4 7

4 2 6 G D. F 2 3 4 4 6 7 G

11. Which relationship does not describe a function?

A. x y

2 4

3 9

4 16

5 25

6 36

B. x y

-2 4

2 -4

2 4

3 -9

3 9

C. x y

2 6

3 9

4 12

5 15

6 18

D. x y

2 8

3 27

4 64

5 125

6 216

12. It costs $40 plus $20 per day to rent a car. Which of the following describes this relationship in function notation?

A. f(d) = 20d

B. f(d) = 40d

C. f(d) = 20d + 40

D. f(d) = 40d + 20


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4Standards Review


13. Find the value of f(x) = x + 2 for x = 3.

A. 5

B. 6

C. 8

D. 9

14. Which is a graph of the function y = |x|?

A.

B.

C.

D.

15. Over which domain and range is the graph below a function?

2 4-2

-4

2

4

x

y

-2-4 0

A. Domain: All real numbers Range: All real numbers

B. Domain: x ! 1 Range: y ! 1

C. Domain: x ø 0 Range: All real numbers

D. Domain: All real numbers Range: y ! 0

16. The table below shows the x- and y-coordinates for several points on the graph of a function. Which of the following functions can this table of values help you graph?

n 0 1 4 9f(n) 0 1 2 3

A. y = x2

B. y = Ï} x

C. y = |x|

D. y = 1 } x


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5Diagnostic Test


17. A rectangle has an area of 36 square inches. If x represents the length of the rectangle and y represents its width, which of the following best describes the relationship of x and y?

A. The relationship of x and y is one of direct variation.

B. The relationship of x and y is one of inverse variation.

C. The relationship of x and y is neither direct variation nor inverse variation.

D. The relationship of x and y with respect to direct and inverse variation cannot be determined.

18. Use the formula for the surface area of a

square pyramid: S = s2 + 4 1 1 } 2 bh 2 . Solve for h.

A. h = S - s2 } 2b

B. h = S + s2

} 2b

C. h = S - 2h }

s2

D. h = s2 - 2b

} S

19. A 25-foot tree casts a 10-foot shadow. Which equation can be used to fi nd the length of a person’s shadow if that person is 5 feet tall and standing next to the tree at the same time of day?

A. 25x = 50

B. 10x = 50

C. 5x = 25

D. 5x = 50

20. Which is the equation for the linear function

with a slope of -3 and y-intercept of 1 } 2 ?

A. y = 1 } 3 x + 1 } 2

B. y = 1 } 2 x - 3

C. y = -3x + 1 } 2

D. none of these


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6Standards Review


21. Which is the equation of the line thatis parallel to y = -2x + 5 and passingthrough the point (4, -3)?

A. y = -2x + 5

B. y = -2x - 2

C. y = 1 } 2 x + 4

D. y = 1 } 2 x - 5

22. Which is the equation of the line that passes

through the points 1 1 } 2 , 1 2 and 1 1, - 1 } 2 2 ?

A. y = 1 } 2 x + 1 B. y = x - 1 } 2

C. y = -3x + 5 } 2 D. y = 1 } 3 x + 5 } 2

23. Which is the slope of the trend line for the scatterplot shown below?

6 820 4

6

8

2

4

x

y

A. 2 B. 4 } 3

C. 1 } 2 D. -1

24. Which of the following points is closest to line of best fi t for this scatter plot?

6 820 4

16

18

20

22

24

12

14

x

y

A. (2, 4) B. (2, 6)

C. (2, 8) D. (2, 10)


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7Diagnostic Test


25. Which of the following equations is the point-slope form of the equation 5x - 2y = 14?

A. y = 5 } 2 x - 7

B. -2y = -5x + 14

C. y - (-2) = 5 } 2 (x - 2)

D. y = 5 } 2 (x - 2) - 2

26. To solve the equation -36 = - x } 9 , which

operation is used to isolate the variable x?

A. add 36 to both sides

B. subtract 36 from both sides

C. multiply both sides by 9

D. divide both sides by 9

27. Which linear inequality is equivalent to x ! -5?

A. x " 1 } 5 B. -x ! -5

C. -x " 5 D. -x ! 1 } 5

28. Which graph represents the solution to the following system of equations?

y = 3x - 2

x + y = 2

A.

B.

C.

D.


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8Standards Review


29. A bus travels into the city from the suburbs at 35 miles per hour for x hours. On the return trip, it travels for y hours at 55 miles per hour. The time for the entire round trip is 2 1 } 2 hours. Which of the following best represents this situation?

A. x = y 35x = 55y

B. x = y 35x + 55y = 2 1 } 2

C. x + y = 2 1 } 2 35x = 55y

D. x + y = 2 1 } 2 35x + 55y = 2 1 } 2

30. Which of the following tables of values can you use to help you graph y = 3x - 5?

A. x -1 0 1

y -1 -4 -3

B. x -1 0 1

y -8 -5 2

C. x -2 0 2

y -11 -5 -1

D. x -2 0 2

y -11 -5 1

31. Which of the following graphs represents the equation y = 0.5x - 3?

A.

B.

C.

D.

32. What happens to the graph of y = 4x - 3 if the value of the slope increases by 3 units?

A. The graph of the new line is perpendicular to the graph of the original line.

B. The graph of the new line is parallel to the graph of the original line.

C. The slope of the new line is steeper than the slope of the original line.

D. The slope of the original line is steeper than the slope of the new line.


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9Diagnostic Test


33. Ricardo graphs an equation that has

a y-intercept of 6 and a slope of - 1 } 2 . Which

of the following points will be on the line

that Ricardo graphs?

A. (-2, -7) B. (-2, 5)

C. (2, 7) D. (2, 5)

34. Ali is graphing a line that has a slope of

3 } 2 and contains the point (2, -1). Which of

the following points will be on the line that

Ali graphs?

A. (4, 2) B. (4, 5)

C. (5, 2) D. (5, 4)

35. Each table of values below lists points on a line. Which table lists values of x and y for a line that has a y-intercept of 2 and an x-intercept of -4?

A. x 4 2 0 -2 -4

y 4 3 2 1 0

B. x -4 -2 0 2 4

y 0 1 2 3 4

C. x -2 -1 0 1 2

y -8 -6 -4 -2 0

D. x -2 0 2 4 6

y 0 -2 -4 -6 -8

36. The table of values below contains some values of a linear equation. What is the slope of the line?

x -2 0 2

y -6 -4 -2

A. -1 B. 0

C. 1 D. 2


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10Standards Review


37. In the equation y = 5x, if the value of x is increased by three, what is the effect on the value of y?

A. It is increased by 125.

B. It is increased by 15.

C. It is increased by 9.

D. It is increased by 3.

38. Which of the following is an equation of a line that is parallel to the graph of the equation y = 0.5x + 10?

A. y = 2x + 5

B. y = -x + 10

C. y = 0.5x + 5

D. y = -2x + 10

39. Maggie earns $8 an hour at the student resource center. She will get an extra $15 this week. Which function represents the amount she gets this week as a function of the hours she works?

A. f (h) = 23h B. f (h) = 15h + 8

C. f (h) = 8h + 15 D. f (h) = 8h - 15

40. Tom earns $6 an hour at the Food store plus tips. His average tips are $12 a week. At most he can work 20 hours a week. Which is the reasonable domain of the function in the context of this problem?

A. Domain: {0, 5, 12}

B. Domain: {0, 1, 2, 3, 4 …, 120}

C. Domain: {0, 12, 24, 36, …, 120}

D. Domain: {0, 6, 12, 18, 19, 20}


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11Diagnostic Test


41. David invested a total of $12,000 in bonds that pay 10.5% and 12% simple interest. The fi rst year the bonds earned $1380 in interest. Which system of equations represents this situation?

A. x + y = 1380 .105x + .12y = 12,000

B. x + y = 12,000 .105x + .12y = 1380

C. x + y = 12,000 10.5x + .12y = 1380

D. none of these

42. Four times a number less 12 is at most 30. Which inequality represents the set of numbers that satisfy the problem?

A. 4n - 12 ! 30

B. 4n + 12 ! 30

C. 4n - 12 " 30

D. 4n + 12 " 30

43. Each graph below represents an equation of the form y = ax2. Which graph represents the equation with the least value for a?

A.

B.

C.

D.

44. Which of the following could be the equation of the graph shown below?

A. y = (x - 1) (x - 2)

B. y = (x - 1) (x + 2)

C. y = (x + 1) (x - 2)

D. y = (x + 1) (x + 2)


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12Standards Review


45. Which graph shows the effect of increasing the constant in the equation y = x2 + 4?

A.

B.

C.

D.

46. Which are the solutions to 0 = x2 - 8x + 12?

A. x = -2 and x = -6

B. x = -2 and x = 6

C. x = 2 and x = -6

D. x = 2 and x = 6

47. Solve y = x2 - x by factoring when y = 12.

A. x = 0 and x = -1

B. x = 0 and x = 1

C. x = -3 and x = 4

D. x = 3 and x = -4

48. Which are the solutions to 32 = x2?

A. x = 16 and x = -16

B. x = 4 and x = -4

C. x = 2 and x = -2

D. none of these


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13Diagnostic Test


49. The graph of y = x2 + 6x + 9 is given below.

Which is the solution of 0 = x2 + 6x + 9?

A. x = -3 B. x = 3

C. x = 0 D. x = 9

50. A ball is dropped from the roof of a building that is 144 feet tall. The height of the ball as a function of time is h = !16t2 + 144. Which is the reasonable domain in the context of this problem?

A. Domain: -3 ! t ! 3

B. Domain: 0 ! t ! 3

C. Domain: 0 ! t ! 9

D. Domain: 1 ! t ! 3


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14Standards Review

South CarolinaStandard EA-2.1Algebra I

Standard EA-2.1Algebra 1The Real Number System

EA-2.1 Exemplify elements of the real number system (including integers, rational numbers, and irrational numbers)

EA-1.1 Communicate a knowledge of algebraic relationships by using mathematical terminology appropriately

1. Which of the following statements is true?

A. Ï}

3 is irrational because the square root of any number is irrational.

B. Ï}

3 is irrational because ( Ï}

3 )2 is irrational.

C. Ï}

3 is irrational because it cannot be expressed as a } b where a and b are integers.

D. Ï}

3 is irrational because the square root of an odd number cannot be rational.

2. Which of the following statements is false?

A. All integers are real numbers.

B. All rational numbers are real numbers.

C. Some integers are not rational numbers.

D. Some real numbers are not irrational numbers.

3. The number 3. } 125 is which type of real number?

A. a rational number

B. an irrational number

C. a positive integer

D. a terminating decimal

4. What is the least number that is a sum of two different positive integers?

A. 0

B. 1

C. 2

D. 3

5. What is the greatest number that is a sum of two different negative integers?

A. !3

B. !2

C. !1

D. 0

6. What type of number is 4 Ï}

20 ?

A. a rational number

B. an irrational number

C. an integer

D. none of these

7. Which of the following numbers is irrational?

A. 100

B. Ï}

9

C. !1

D. Ï}

10

8. If you divide 50 by 3, what kind of number is the result?

A. a positive integer

B. a negative integer

C. a rational number

D. an irrational number

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15Standard EA-2.1


9. Which is the best description of the sets to which the number –18 belongs?

A. the set of real numbers and the set of integers

B. the set of real numbers, the set of integers, and the set of rational numbers

C. the set of real numbers and the set of rational numbers

D. the set of real numbers and the set of irrational numbers

10. Which of the following statements is false?

A. All integers are rational numbers.

B. Some rational numbers are whole numbers.

C. All rational numbers are ratios of integers.

D. Some irrational numbers are rational numbers.

11. The (positive) square root of 2 is an irrational number. What type of number is ( Ï

} 2 )2?

A. a positive rational number

B. an negative integer

C. a negative rational number

D. an irrational number

12. Jason went to a rock concert. He counted the number of people in attendance, including himself. Which set describes all possible tallies that Jason could have arrived at without further information?

A. the set of positive integers

B. the set of real numbers

C. the set of rational numbers

D. the set of irrational numbers

13. Which of the following numbers are not rational?

A. integers

B. terminating decimals

C. repeating decimals

D. non-terminating, non-repeating decimals

14. The number 2. } 3 belongs to which of the following sets?

A. irrational

B. rational

C. integer, rational

D. natural, rational

15. Which of the following numbers is not rational?

A. Ï}

11 B. 3 } 4

C. 2.8 D. 7

16. Which type of number cannot be written as a fraction with an integer in the numerator and in the denominator?

A. rational numbers

B. irrational numbers

C. integers

D. whole numbers

17. In which of the following classifi cations does the number 0 not belong?

A. integers

B. real numbers

C. rational numbers

D. irrational numbers

18. Which of these is not an integer?

A. !12

B. 0

C. Ï}

324

D. 1 } 8


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16Standards Review


Standard EA-2.2Algebra 1Exponents and Roots

EA-2.2 Apply the laws of exponents and roots to solve problems

EA-1.3 Apply algebraic methods to solve problems in real-world contexts.

1. Which of the following does not equal p10?

A. p8 • p2

B. p12

} p2

C. (p2)5

D. p10

} p

2. Evaluate 104 ! 10"4.

A. 10"16

B. 1016

C. 108

D. 1

3. Sara is performing a chemistry experiment. She must dissolve 10"2 grams of iodine crystals into a solution. How many grams will she add to the solution?

A. 0.01 B. 0.0001

C. 1.0 D. 0.1

4. Simplify the expression (4x2y)2.

A. 4x4y2 B. 8x2y2

C. 16x2y2 D. 16x4y2

5. Which of the equations is true?

A. (a6b3)1 = a7b4

B. b3 • b2 = b6

C. (6a2)3 = 18a6

D. (ab2)3 = a3b6

6. If 64 }

66 = 6x, What is the value of x?

A. –2

B. 2

C. 36

D. 1 } 2

7. Which of the following is equivalent

to (5a2)(2a–5)

} 2a–4 ?

A. 10a2

B. 10a5

C. 1 } 5a2

D. 5a2

8. What equals 1 }

x"3 ?

A. – 3 } x

B. 3 } x

C. x3

D. x–3

9. Using exponent rules, which of the following

is equivalent to 1612 }

163 ?

A. 169

B. 164

C. 1636

D. 144


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17Standard EA-2.2


10. Simplify: (3x4y2z6)(8y3z5)

A. 11x4y5z11

B. 24x4y5z11

C. 24x4y6z30

D. 11y5z11

11. Which expression is the simplifi ed

form of (3t2s)(4t3s2)

} (48t5s5)

?

A. 1 } 4s2

B. 0

C. t } 4s3

D. –s2 } 4t

12. Simplify: (9x)–2

A. 1 } 81x2

B. 1 } 9x2

C. 9x – 18 D. –18x

13. Evaluate: (3–3)2

A. 1 } 729

B. 1 } 81

C. 243 D. 729

14. Evaluate Î}

2 ! Î}

3 .

A. Ï}

5 B. Ï}

6

C. 2 Ï}

3 D. 3 Ï}

2

15. Which of the following expressions is

equivalent to Ï}

3 }

Ï}

2 .

A. 3 } 2 B. Ï

}

3 } 2

C. Ï}

3 – 2 D. Ï}

3 ! 2

16. Simplify the following expression:

Ï}

9x6y2

A. 3x3y

B. 9x3y

C. 3x4y

D. 3x6y2

17. Which of the following expressions is

equivalent to Ï}

25a4k8 ?

A. 5a4k8

B. 5a2k4

C. 25a2k4

D. 12.5a3k7

18. What is Ï}

32 in simplest radical form?

A. 2 Ï}

8

B. 2 Ï}

2

C. 4 Ï}

2

D. 8 Ï}

2

19. Which of the following is equivalent to Ï}

72m2n5 ?

A. 6mn Ï}

2n3

B. 6mn2 Ï}

2n

C. 3mn Ï}

8n3

D. 3mn2 Ï}

8n

20. Simplify and evaluate the following expression:

Ï}

450 ! Ï}

128 }

Ï}

1 } 9

A. 80

B. 240

C. 360 Ï}

2

D. 720


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18Standards Review


Standard EA-2.3Algebra 1Scientifi c Notation

EA-2.3 Carry out a procedure to perform operations (including multiplication and division) with numbers written in scientifi c notation.


1. Find the product.

(4.3 ! 105)(2.7 ! 103)

A. 1.161 ! 108

B. 1.161 ! 109

C. 1.161 ! 1015

D. 1.161 ! 1016

2. Find the product.

(5.7 ! 108)(2.9 ! 10"4)

A. 1.653 ! 10–32

B. 1.653 ! 10–12

C. 1.653 ! 105

D. 1.653 ! 104

3. Find the quotient.

6.72 ! 106 }

2.8 ! 102

A. 2.4 ! 104

B. 2.4 ! 105

C. 2.4 ! 108

D. 2.4 ! 1012

4. Find the quotient.

8 ! 107 }

2.5 ! 10–3

A. 3.2 ! 10–21

B. 3.2 ! 10–4

C. 3.2 ! 104

D. 3.2 ! 1010

5. If the number of molecules in one mole of a compound is 8.03 ! 109, then the number of molecules in 1 ! 104 moles of the same compound is :

A. 8.03 ! 105

B. 8.03 ! 1013

C. 8.03 ! 1023

D. 8.03 ! 1033

6. If the speed of light is 3.00 ! 108 meters per second, how far would a beam of light travel in 3 ! 103 seconds?

A. 1.0 ! 108 m

B. 9.0 ! 105 m

C. 9.0 ! 108 m

D. 9.0 ! 1011 m

7. A particle travels 1 ! 108 centimeters per second in a straight line for 5 ! 10–6 seconds. How far has the particle traveled?

A. 2.0 ! 102 cm

B. 5.0 ! 102 cm

C. 5.0 ! 1014 cm

D. 5.0 ! 10–48 cm

8. A runner burns about 3.5 ! 102 calories per hour. If there are 1.6 ! 104 runners in a marathon, about how many calories would be burned by all of the runners in one hour?

A. 5.6 ! 104 cal

B. 5.6 ! 105 cal

C. 5.6 ! 106 cal

D. 5.6 ! 1012 cal


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19Standard EA-2.3


9. Suppose you have 1.0 ! 106 dollars in pennies. A penny is 1.55 mm thick. How tall would a stack of all your pennies be?

A. 1.55 ! 105 mm

B. 1.55 ! 106 mm

C. 1.55 ! 107 mm

D. 1.55 ! 108 mm

10. The speed of light is approximately 1.86 ! 105 miles per second. If the sun is approximately 9.3 ! 107 miles away, how many seconds does it take for light to reach Earth?

A. 1.7298 ! 1013

B. 11.16 ! 1012

C. 1.7298 ! 1035

D. 5.0 ! 102

11. Multiply (4.92 ! 10–3)(2.25 ! 107).

A. 1107 ! 105

B. 1.107 ! 106

C. 1.107 ! 105

D. 7.17 ! 105

12. An astronomer is looking through a telescope that has magnifi ed an object by 1.0 ! 104. If the object appears through the telescope to be 3.1 ! 10–4 mm, how large is the object the astronomer is looking at in space?

A. 3.1 ! 10–8 mm

B. 3.1 ! 10–1 mm

C. 3.1 ! 101 mm

D. 3.1 ! 100 mm

13. A drop of water contains about 1.7 ! 1021 water molecules. How many water molecules are there in a glass of water that has 2.5 ! 104 drops?

A. 4.2 ! 10–17 B. 4.2 ! 1017

C. 4.25 ! 1025 D. 4.25 ! 108

14. The Alpha Centauri star system is about 4.3 light-years from Earth. One light-year, the distance light travels in 1 year, is about 6 ! 1012 miles. About how many miles away from Earth is Alpha Centauri?

A. 2.58 ! 1013

B. 6.00 ! 1013

C. 1.03 ! 1012

D. 2.58 ! 109

15. In the fall of 2001, students in Columbia South Carolina raised 4.4 ! 104 dollars to buy a new fi re truck for New York City. If the money had been collected in pennies, how many pennies would that have been?

A. 4.4 ! 106

B. 4.4 ! 105

C. 4.4 ! 107

D. 4.4 ! 108

16. Scientists measure distances in our solar system in astronomical units (AU). The mean distance from Earth to the Sun is 1.496 ! 108 km, which is 1 AU. The mean distance from Jupiter to the Sun is 7.784 ! 108 km. About how many AU is that distance?

A. 5.2 ! 100 AU

B. 5.2 ! 101 AU

C. 5.2 ! 108 AU

D. 1.1644864 ! 1016 AU


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20Standards Review


1. A fully loaded semi truck and trailer weighs 32 1 } 2 tons. Which of the following expressions can you use to convert 32 1 } 2 tons to its

equivalent in pounds? (Use 1 ton = 2000 pounds as the conversion factor.)

A. 32 1 } 2 tons ! 2000 lb } 1 ton

= ? lb

B. 32 1 } 2 tons ! 1 ton } 2000 lb

= ? lb

C. 1 ton } 2000 lb

÷ 32 1 } 2 tons = ? lb

D. 32 1 } 2 tons ÷ 1 ton } 2000 lb

= ? lb

2. A sports fi eld is 350 yards long. Which of the following expressions can you use to convert 350 yards to its equivalent in inches?

A. 350 yd ! 1 yd

} 3 ft

! 12 in. } 1 ft

= ? in.

B. 350 yd ! 3 ft } 1 yd

! 1ft } 12 in.

= ? in.

C. 350 yd ! 3 ft } 1 yd

! 12 in. } 1 ft

= ? in.

D. 350 yd ! 1 yd

} 3 ft

! 1ft } 12 in.

= ? in.

3. A race course is 4400 yards long. Which of the following expressions can you use to convert 4400 yards to its equivalent in miles?

A. 4400 yd ! 1 yd

} 3 ft

! 1 mi } 5280 ft

= ? mi

B. 4400 yd ! 3 ft } 1 yd

! 1 mi } 5280 ft

= ? mi

C. 4400 yd ! 3 ft } 1 yd

! 5280 ft } 1 mi

= ? mi

D. 4400 yd ! 1 yd

} 3 ft

! 5280 ft } 1 mi

= ? mi

4. A large pot contains 3500 milliliters of liquid. Which of the following expressions can you use to convert 3500 milliliters to its equivalent in kiloliters?

A. 3500 mL ! 1000 mL } 1 L

! 1000 L } 1 kL

= ? kL

B. 3500 mL ! 1 L } 1000 mL

! 1000 L } 1 kL

= ? kL

C. 3500 mL ! 1 L } 1000 mL

! 1 kL } 1000 L

= ? kL

D. 3500 mL ! 1000 mL } 1 L

! 1 kL } 1000 L

= ? kL

5. A vat contains 5.5 gallons of dye. Which of the following expressions can you use to convert 5.5 gallons to its equivalent in pints?

A. 5.5 gal ! 1 gal

} 4 qt

! 1 qt

} 2 pt

= ? pt

B. 5.5 gal ! 1 gal

} 4 qt

! 2 pt

} 1 qt

= ? pt

C. 5.5 gal ! 4 qt

} 1 gal

! 1 qt

} 2 pt

= ? pt

D. 5.5 gal ! 4 qt

} 1 gal

! 2 pt

} 1 qt

= ? pt

6. A carpet has an area of 59,616 square inches. Which of the following expressions can you use to convert 59,616 square inches to its equivalent in square yards?

A. 59,616 in.2 ! 1 ft2 } 144 in.2

! 9 ft2 } 1 yd2

= ? yd2

B. 59,616 in.2 ! 1 ft2 } 144 in.2

! 1 yd2

} 9 ft2

= ? yd2

C. 59,616 in.2 ! 144 in.2 } 1 ft2

! 1 yd2

} 9 ft2

= ? yd2

D. 59,616 in.2 ! 144 in.2 } 1 ft2

! 9 ft2 } 1 yd2

= ? yd2

Standard EA-2.4Algebra 1Dimensional Analysis

EA-2.4 Use dimensional analysis to convert units of measurement within a system.

EA-1.1 Apply algebraic methods to solve problems in real-world contexts


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21Standard EA-2.4


7. How many liters of juice are there in 240 milliliters of juice?

A. 0.0024 liter

B. 0.024 liter

C. 0.240 liter

D. 24 liters

8. The small amount of sugar that Susan spilled had a mass of 0.007 gram. Which of the following measurements is equivalent to 0.007 gram?

A. 7 milligrams

B. 70 milligrams

C. 700 milligrams

D. 7000 milligrams

9. Which of the following conversion factors would be needed in a dimensional analysis expression for converting miles per hour to feet per second?

A. 5280 feet } 1 mile

B. 1 hour } 60 minutes

C. 1 minute } 60 seconds

D. all of these

10. Joel fi lled 22 quart bottles with freshly squeezed orange juice. How many gallons of orange juice did Joel make?

A. 88

B. 11

C. 4.5

D. none of these

11. A car is traveling at a rate of 72 kilometers per hour. Which expression can you use to convert 72 kilometers per hour to its equiva-lent in meters per second?

A. 72 km } hr ! 1000 m }

1 km ! 60 min }

1 hr ! 60 sec }

1 min = ? m } sec

B. 72 km } hr ! 1000 m }

1 km ! 1 hr }

60 min ! 1 min }

60 sec = ? m } sec

C. 72 km } hr ! 1 km }

1000 m ! 60 min }

1 hr ! 60 sec }

1 min = ? m } sec

D. 72 km } hr ! 1 km }

1000 m ! 1 hr }

60 min ! 1 min }

60 sec = ? m } sec

12. A garden covers 20 square yards. Which is another way to describe the area of the garden?

A. 720 square inches

B. 1296 square inches

C. 25,920 square inches

D. none of these

13. If the exchange rate from dollars to Euros is $1 = 0.7133 Euro, which of the following expressions can you use to fi nd how many Euros you will receive in exchange for $125?

A. $125 = $125

} 1 • 0.7133 Euro }

$1 = ? Euros

B. $125 = 1 }

$125 • 0.7133 Euro

} $1

= ? Euros

C. $125 = $125

} 1 • $1 } 0.7133 Euro = ? Euros

D. none of these


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22Standards Review


Standard EA-2.5Algebra 1Use the Properties of Real Numbers

EA-2.5 Carry out a procedure using the properties of real numbers (including commutative, associative, and distributive) to simplify expressions.


1. Simplify:

3 + 2(7 ! 2) ! 4

A. 9

B. 11

C. 21

D. 29

2. Which expression is equivalent to 12 " (15 + 19)?

A. 12 + 15 " 12 + 19

B. 12 " 15 + 12 " 19

C. 12 " 15 " 19

D. 15 " (12 + 19)

3. Ana and Tony are bringing baskets of rolls to a family reunion picnic. Ana brings x baskets of 12 rolls each and Tony brings y baskets of 12 rolls each. Which expression could be used to represent the total number of rolls?

A. x + (y " 12)

B. (x + y) " 12

C. (x " y) + 12

D. x " (y + 12)

4. Simplify:

(7 + 4x) + 3(2 + x) + 8

A. 5x + 18

B. 6x + 20

C. 7x + 21

D. 10x + 15

5. Which expression is equivalent to 6(4a ! 2b)?

A. 24a ! 2b

B. 24a ! 12b

C. 24a + 12b

D. 12ab

6. Simplify:

2 Î}

3 + 4 Î}

3 + 3 Î}

2

A. 9 Î}

8

B. 9 Î}

5

C. 6 Î}

3 + 3 Î}

2

D. 6 Î}

6 + 3 Î}

2

7. Simplify:

5 Î}

5 + 2 Î}

5

A. 7 Î}

10

B. 10 Î}

10

C. 7 Î}

5

D. 10 Î}

7

8. Simplify:

3! + 8!?

A. 24!

B. 11!

C. 24!2

D. 11!2


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23Standard EA-2.5


9. Simplify:

(5 + 3x) – 4(3 – x) + 2

A. 7x – 5

B. 7x + 5

C. 2x – 5

D. 2x + 5

10. Identify the expression equivalent to: p ! (q ! g) + h + j

A. p (q ! g + h) + j

B. (p ! q) ! g + h + j

C. p ! q ! (g + h) + j

D. q ! (g + p) ! h + j

11. Identify the expression equivalent to: a + (b ! c)

A. (a + b) ! c

B. b + (a ! c)

C. (b + a) ! c

D. (c ! b) + a

12. Identify the expression equivalent to: x – y ! (z + w)

A. (x – y) ! z + w

B. y ! (z + w) – x

C. y – x ! (z + w)

D. x – y ! (w + z)

13. Identify the expression equivalent to:l ! (m – n) + o

A. l(n – m) – o

B. l ! m – (n + o)

C. o + n – (m ! l)

D. o + l ! m – l ! n

14. Which of the following is equivalent to this expression? –35x – 5

A. –7x + 1

B. –5(7x + 1)

C. 5(8x + 1)

D. x(–35 – 5)

15. Which value of x makes the following statement true?

1 1 } 2 ! 1 } 4 2 + 1 1 } 3 2 x = 1 } 2 ! 1 } 4 + 1 1 } 3 2 A. 1 }

2

B. 1 } 3

C. 1 } 4

D. none of these

16. Ali buys 3 DVDs for $18.95 each and 3 DVDs for $14.99 each. Which expression could represent the total number of DVDs he purchased?

A. 3 + (18.95 ! 14.99)

B. 3 + 18.95 ! 14.99

C. 3 ! 18.95 + 14.99

D. (18.95 + 14.99) ! 3

17. Identify the property used in 7 + (3 • 2) = 7 + (2 • 3)

A. Communicative Property of Addition

B. Communicative Property of Multiplication

C. Associate Property of Addition

D. Associate Property of Multiplication

18. Which is an example of the Associative Property of Multiplication 7 + (3 • 2) = 7

A. 8 + 2a = (8 + 2)a

B. 8 • 2a = (8 + 2)a

C. 8 • 2a = (2a • 8a)

D. 8 • 2a = (8 • 2)a


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24Standards Review


Standard EA-2.6Algebra 1Evaluate Expressions

EA-2.6 Carry out a procedure to evaluate an expression by substituting a value for the variable.

EA-1.5 Demonstrate an understanding of algebraic relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic).

1. What is the value of 3x + 2 } x when x = 2?

A. 1 B. 2

C. 3 D. 4

2. What is the value of x + 3

} x - 3 when x = 7?

A. !1 B. 0.625

C. 1 D. 8

3. What is the value of 5 } x + 8 when x = !13?

A. 2 B. 2.5

C. 5 D. 10

4. What is the value of - x - 2 } x + 5

when x = 1 } 2 ?

A. 3 } 11

B. 1 } 3

C. 3 } 7 D. 3 } 5

5. The formula for the area of a circle is A = !r2. Find the area of a circle with a 10 cm radius.

A. 31.4 cm2 B. 62.8 cm2

C. 314 cm2 D. 628 cm2

Evaluate the expressions in questions 6 and 7 when y = 3.

6. 50 ! y3 " 5

A. !85 B. 5

C. 115 D. 205

7. 3 + ((13 ! y) " 21)

A. 93 B. 213

C. 273 D. 339

8. Evaluate the expression

x3 - y2

} xy

when x = 5 and y = 4.

A. 0.78 B. 1.95

C. 5.45 D. 6.05

9. The formula for the area of a trapezoid is

A = 1 } 2 (B + b)h

where B is the larger base, b is the smaller base, and h is the height. Find the area of a trapezoid that has one base of 18.2 inches, the other base of 14 inches and a height of 8 inches.

A. 20.1 square inches

B. 128.8 square inches

C. 200.2 square inches

D. 260.4 square inches

SC_Alg1_2.6.indd 24SC_Alg1_2.6.indd 24 7/10/09 5:04:59 AM7/10/09 5:04:59 AM

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25Standard EA-2.6


10. What is the Celsius temperature when the

Fahrenheit temperature is !22º? Use the

formula C = 5 } 9 (F ! 32).

A. –6º B. –10º

C. –30º D. –35º

11. Evaluate (x + 3)2 ! x + 9 for x = !5.

A. 8 B. 18

C. 38 D. 68

12. What is value of the following expression if x = 7? Round to the nearest whole number.

3 " ( 3 } 5 x + 2x)

A. 397 B. 600

C. 1155 D. 2776

13. Evaluate (100x)2 + 10y for x = 0.2 and

y = 1 } 2 ?

A. 45 B. 205

C. 402 D. 405

14. What is the value of 15x3 ! y if x = !2 and

y = 20?

A. !140 B. !120

C. 100 D. 140

15. Evaluate x3 ! 2x2 + 5x ! 10 when x = 3.

A. 14 B. 15

C. !10 D. !14

16. What is the value of 5xy ! w2 if x = 3,

y = 10, and w = !4?

A. 134 B. 166

C. 184 D. 216

17. Use the formula for compound interest, A = C(1 + r)t, where A is the account balance, r is the rate t is time, and C is the initial amount. Approximate the balance when the initial value is $500, the time is 6 years and the rate is 0.08. Round to the nearest whole number. [Calculator]

A. $280 B. $623

C. $793 D. $3240

18. A computer consultant charges her client for her services based on an equation relating the total bill to the number of hours worked (h). The best interpretation for the expression 85h + 75 is:

A. She charges $75 per hour plus a $85 fl at fee.

B. She charges $85 per hour plus a $75 fl at fee.

C. Her hourly charge varies from $75 to $85 depending on the job.

D. She charges $160 the fi rst hour plus $85 each hour afterwards.


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26Standards Review


Standard EA-2.7Algebra 1Simplify Polynomial Expressions

EA-2.7 Carry out a procedure (including addition, subtraction, multiplication, and division by a monomial) to simplify polynomial expressions.


1. Simplify:

(8x ! 12) + (6x + 7)

A. 2x ! 5

B. 2x ! 19

C. 14x ! 5

D. 14x ! 19

2. Simplify:

(x3 + 8x2 + 1) + (x3 + x)

A. x3 + x2 + x + 1

B. 8x3 + x2 + x + 1

C. ! x3 + x2 - x + 1

D. 2x3 + 8x2 + x + 1

3. If the side of a square is 2x ! 3x + 1, which expression is the perimeter?

A. 8x2 ! 3x + 1

B. 8x2 ! 12x + 4

C. 8x2 + 12x + 4

D. 8x2 ! 12x ! 1

4. Simplify:

(3x + 7) ! (5x ! 4)

A. !2x + 3

B. !2x + 11

C. 8x + 3

D. 8x + 11

5. Simplify:

(2x3 + 8x2 + 1) - (x3 + 4x2 - x)

A. x3 + 4x2 + 2x

B. x3 + 4x2 + x + 1

C. x3 + 4x2 - x + 1

D. x3 + 12x2 + x + 1

6. Simplify:

1 2x4 + 4x3 + 5x2 ! 1 } 2 2 ! 1 !3x3 + 5x2 + 1 } 2 2 A. 2x4 + x3 - 1

B. 2x4 + 7x3 - 1

C. 5x4 + 4x3 - 1

D. 5x4 - x3 + 5x2 - 1

7. If the length of a rectangle is 2x and the width is (4x - 7), which expression defi nes the area?

A. 6x - 14x B. 8x2 - 14x

C. 6x2 - 14x D. 8x2 - 7

8. Which expression is equivalent to (4x + 2y - 5) - 4(2y + 1)?

A. 4x - 6y + 4 B. 4x - 6y - 9

C. 4x - 16y + 4 D. 4x - 16y - 9


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27Standard EA-2.7


9. Simplify:

(x + 4)2

A. 2x + 8 B. x2 + 16

C. x2 + 8x + 16 D. None of the above

10. Which expression is equivalent to(x - 8)(x + 8)?

A. x2 - 64

B. 2x2 - 64

C. x2 - 16x - 64

D. 2x2 - 16x - 64

11. If the side of a square is (5x + 2), which expression defi nes its area?

A. 10x2 - 4

B. 10x2 + 14x + 4

C. 25x2 + 4

D. 25x2 + 20x + 4

12. Simplify:

(x + 5)(x - 8)

A. x2 - 3x + 40

B. x2 - 3x - 20

C. x2 + 13x - 40

D. none of these

13. Simplify:

(3x2 + 4)(x - 5)

A. -12x2 + 4x - 20

B. -3x3 + 15x2 - 4x + 20

C. 3x3 - 15x2 + 4x - 20

D. 3x3 + 4x2 - 15x - 20

14. If the height of a triangle is (2x - 4), and the base is (x2 + 2x - 3), which expression defi nes its area?

A. x3 - 7x + 6

B. x3 + 4x2 + x - 6

C. 2x3 + 4x2 - 3x

D. 2x3 - 14x + 12

15. Which expression is not equivalent to

8x2 + 4

} 2 ?

A. 4x2 + 4 B. 8x2 }

2 + 4 } 2

C. 4x2 + 2 D. 1 } 2 (8x2 + 4)

16. What is the quotient of (7x - 7) ÷ 7x?

A. 7 - x B. 1 - x

C. 1 - 1 } x D. 49x2 - 49x

17. Simplify:

12x4 - 8x3 - 4x2 }}

-4x2

A. -3x3 + 2x2 + x

B. -3x2 + 2x + 1

C. 3x2 - 2x - 1

D. 3x2 - 2x

18. Find the quotient:

15x4 + 9x3 - 2x2

}} -3x2

A. -5x2 + 3x - 2x

B. -5x2 - 3x + 2 } 3

C. 5x3 + 3x2 - 2 } 3 x

D. 5x2 + 3x - 2 } 3


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28Standards Review


Standard EA-2.8Algebra 1Factor Binomials, Trinomials, and Polynomials

EA-2.8 Carry out a procedure to factor binomials, trinomials, and polynomials by using various techniques (including the greatest common factor, the difference between two squares, and quadratic trinomials).


1. Factor 8x3 + 12x2 - 4 using the greatest common factor.

A. 2(4x3 + 6x2 - 2)

B. 2x(4x2 + 6x - 2)

C. 4(2x3 + 3x2 - 1)

D. 4x(2x2 + 3x - 1)

2. Which of the following is equivalent to this expression?

-35x - 5

A. -7x + 1

B. -5(7x + 1)

C. 5(8x + 1)

D. x(-35 - 5)

3. Which expression is equivalent to 10x ! 15y?

A. 2(x ! 3y) B. 5(2x ! 3y)

C. 10(x ! 15y) D. 10x(1 ! 15y)

4. Factor: (y2 ! 36)

A. (y + 6)(y ! 6)

B. (y + 6)(y + 6)

C. (y + 4)(y ! 9)

D. (y + 9)(y ! 4)

5. Factor 9a2 ! 81 completely.

A. 9(a2 ! 9)

B. (a ! 9)(a + 9)

C. 9(a ! 3)(a + 3)

D. 3(3a ! 3)(a + 3)

6. Factor a2 - 16b2.

A. (a - 4b)2

B. (a - 4b)(a + 4b)

C. (a + 4b)2

D. (a - 16b)(a + b)

7. Margaret specializes in making off-center frames. She does this by starting with a square of side length S, then removing a smaller square of side length T from the larger square so that the resulting window is off-center. what is the area of the resulting frame?

TS

A. (S - T)2

B. S(S - T)

C. (S + T)(S - T)

D. (S + T)2

8. The area of a soccer fi eld is given by x2 + 5x - 6 meters. What are the dimensions of the fi eld?

A. (x - 1) " (x + 6)

B. (x + 1) " (x - 6)

C. (x - 2) " (x + 3)

D. (x + 2) " (x - 3)


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29Standard EA-2.8

Algebra IStandards ReviewSouth Carolina

9. A rectangle with length 2x + 3 has an area of 2x2 + 11x + 12. What is the expression that represents the width of the rectangle?

A. x + 2

B. x ! 4

C. x + 4

D. 2x + 3

10. Factor x2 - 12x + 36.

A. (x - 3)(x - 12)

B. (x - 6)2

C. (x + 6)2

D. (x - 12)2

11. What value of n would make x2 + 20x + n a perfect square trinomial?

A. 10

B. 40

C. 100

D. 200

12. which is a factor of x2 - x - 12?

A. (x + 2)

B. (x + 3)

C. (x + 4)

D. (x + 6)

13. The area of a square is s2 - 12s + 26. What is the expression that represents the length of the side of the square?

A. s - 12

B. s - 4

C. s - 6

D. s + 6

14. Which polynomial is prime?

A. x2 + 4x + 4

B. x2 ! 4x + 4

C. x2 + 4x + 7

D. x2 + 4x ! 32

15. Factor: 5x2 + 5x + 5

A. 5x(x + 5)

B. 5(x2 + x + 1)

C. 5(x + 5)(x + 1)

D. 5(x ! 5)(x ! 1)

16. Factor: 5m2n ! 15mn + 5mn2

A. 5mn(m ! 3 + n)

B. 5mn(m + 3 ! n)

C. 5mn(m ! 1 + n)

D. 5mn(m + 1 + n)

17. Factor 2x2y + 14xy + 20y completely.

A. 2y(x ! 5)(x ! 2)

B. 2y(x ! 5)(x + 2)

C. 2y(x + 5)(x ! 2)

D. 2y(x + 5)(x + 2)

18. Factor 4x3 + 12x2 - 4x + 32 completely.

A. 4x2(x + 3) - 4(x + 8)

B. 4x(x2 + 3x - 1)

C. 4(x2 + 3x2 ! x + 8)

D. 2(2x3 + 6x2 - 2x + 16)


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30Standards Review


Standard EA-2.9Algebra 1Matrices

EA- 2.9 Carry out a procedure to perform operations with matrices (including addition, subtraction, and scalar multiplication).


1. Add: F -5 8 G + F 4 -6 G A. F -9 -14

G B. F -9 14

G C. F -1

2 G D. F 2 -1

G 2. Subtract: [12 3] - [0 -3]

A. [6 12] B. [9 3]

C. [12 0] D. [12 6]

3. Which matrix is equivalent to

F 8 3 4 0 G + F 2 -7 6 -1 G ? A. F 6 4

10 1 G B. F 10 4

10 -1 G

C. F 10 -4 10 -1

G D. F 11 -10 4 10

G 4. What are the values of m and n?

F m 6 7 - 2 G - F 2 4 7 n G = F 1 2 0 3 G A. m = 5, n = 3 B. m = 3, n = 5

C. m = -5, n = 3 D. m = 3, n = -5

5. Add: F 6 1 -2 -3 G + F -6 -1 2 3 G A. F 6 1 -2 -3

G B. F 0 0 0 0

G C. F 12 2

4 6 G D. F 1 1

1 1 G

6. What is the value of x?

F 2 5 x 4 G - F 0 0 0 0 G = F 2 5 -2 4 G A. !4 B. !2

C. 0 D. 2

7. Add: F 3 4 6 -2 1 0 G + F -3 -1 -2 -4

-1 5 G A. F 0 3

4 -6

0 5 G B. F 0 3

4 2

2 -5 G

C. F 2 8 10 -4

-4 1 G D. F 4 1

2 0

6 -1 G

8. Subtract: F 1 4 3 0 -2 6 G - F -2 1 3 -2

1 0 G A. F -1 5

6 -2 -1 6 G B. F 0 6

5 -3 -2 5 G

C. F 2 2 1 -3

-2 7 G D. F 3 3

0 2 -3 6 G

9. Add: F 3 7 -2 5 -4 6 G + F 4 2 -5 3 6 8 G A. F 7 9 -7 8 2 14 G B. F 2 9 2 13 2 3 G C. F -1 5 -3

2 10 -2 G D. F 8 3 4 7 8 3 G


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31Standard EA-2.9


10. What is the value of y in the matrix below?

F -12 10 -11 10 11 12 G + F 8 6 -5 -8 6 5 G = F -4 y -16

7 17 17 G A. y = -16 B. y = -6

C. y = 4 D. y = 16

11. Add:

F 4 7 3 5 2 2 6 1 1 G + F -1 2 3 3 0 9

2 5 1 G A. F 4 3 6

8 7 2

6 6 1 G B. F 3 9 6

8 2 11

8 6 2 G

C. F 3 9 6 2 2 11

8 5 1 G D. F -1 5 3

8 2 11

8 6 2 G

12. Subtract the two matrices.

F 8 5 2 9 7 8 10 3 3 G - F 5 3 2 4 7 3

2 1 3 G A. F 3 2 0

5 0 5

8 2 0 G B. F 5 3 2

4 7 3

2 1 3 G

C. F 8 5 2 9 7 8

10 3 3 G D. F 13 8 4

13 14 11

12 4 6 G

13. Subtract:

F 1 6 -1 -6 2 8 7 -3 9 G - F 7 -1 4 -3 6 3

-1 2 5 G A. F 8 5 3 -9 8 11

6 -1 14 G B. F -6 7 -5 -3 -4 5

8 -5 4 G

C. F -6 5 -3 -3 -4 5

8 -5 4 G D. F -6 7 5 -3 -4 5

8 1 14 G

14. Multiply: 8 F 0 1 1 0 G A. F 0 0

0 0 G B. F 0 -8 -8 0

G C. F 0 8

8 0 G D. F 8 0

0 8 G

15. What is the value of y?

-3 F 0 0 0 y G = F 0 0 0 0 G A. !3 B. 0

C. 1 D. 3

16. The product of 3 F -4 -1 -2 -0 -3 -5 G is the same as:

A. F 7 2 5 3

0 8 G B. F 12 3

6 0

9 15 G

C. F 12 -1 -6 -0

-9 -5 G D. F 12 -3

-6 -0

-9 15 G

17. Multiply

5 F 3 -2 4 -1 G A. F 8 3

9 6 G B. F 3 -2 20 -5 G

C. F 15 -10 4 - 1

G D. F 15 -10 20 - 5 G 18. Multiply:

-3 F 4 9 7 1 G A. F 12 27

21 3 G B. F 12 27 -21 -3

G C. F -12 -27 -21 -3

G D. F -12 -27 21 3 G

19. Multiply:

-4 F 3 4 -5 2 -7 2 1 6 3 G

A. F 12 16 20 8 28 8

4 24 12 G

B. F -1 0 -9 -2 -13 -2 -3 2 -1 G

C. F -12 -16 -20 -8 -28 -8

-4 -24 -12 G

D. F -12 -16 20 -8 28 -8

-4 -24 -12 G


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32Standards Review


Standard EA-2.10Algebra 1Apply Matrices to Solve Problems

EA-2.10 Represent applied problems by using matrices.


1. Ms Miller bakes cakes for two different b akeries. The table shows her production for the fi rst week in May.

May – Week 1

Cakes Chocolate Coffee Crumb

Bakery A 125 75 100

Bakery B 85 50 45

Which matrix represents the data in a 2 ! 3 matrix?

A. F 45 100 75 50

85 125 G B. F 125 75 100

85 50 45 G

C. F 125 85 75 50 100 45

G D. F 125 85 75 50 100 45 G

2. The following is data on student grades:

Test 1 Test 2 Test 3 Test 4

Sam 100 80 100 95

Carol 75 80 85 75

Diane 70 90 95 80

Which matrix represents this data?

A. F 75 80 85 75 80 95 90 70

100 80 100 95 G

B. F 80 70 80 100 95 75 75 80

90 85 95 100 G

C. F 100 95 85 90 80 75 75 95

100 80 70 80 G

D. F 100 80 100 95 75 80 85 75

70 90 95 80 G

3. Brian works part time at a book store. The following is data on his sales for the three days he worked last week:

Sales Data:Monday: 15 books, 6 magazines, 12 cardsWednesday: 20 books, 3 magazines, 10 cardsFriday: 18 books, 12 magazines, 15 cards

Which matrix does not represent the data?

A. F 12 6 15 10 3 20

18 12 15 G B. F 15 20 18

6 3 12

12 10 15 G

C. F 15 6 12 10 3 20

18 12 15 G D. F 15 6 12

20 3 10

18 12 15 G

4. The table gives the population (in thousands) of three cities for the years 1975 and 2000. Source: The World Almanac and Book of Facts, 2005)

City 1975 2000

Tokyo 26,615 34,450

Mombai 7,347 16,086

Los Angels 8,926 11,814

Which matrix does not represent the data?

A. F 8,926 11,814

7,347 16,086

26,615 34,450 G B. F 11,814 8,926

16,086 7,347

34,450 26,615 G

C. F 26,615 34,450

7,347 16,086

8,926 11,814 G D. F 26,615 34,450

16,086 7,347

8,926 11,814 G


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33Standard EA-2.10


5. At Bob’s Clothing store, shirts are $25, pants are $15, and sweaters are $32. At Mari’s Clothing store, shirts are $28, pants are $22, and sweaters are $45. Which matrix repre-sents the prices of the clothing at these two stores?

A. F 25 15 32 28 22 45

G B. F 45 55 28

25 15 32 G

C. F 25 45 15 22

32 28 G

D. F 25 15 32 28

22 45 G

6. Ita was comparing the protein, saturated fats, and carbohydrates in some food samples. There were 5 grams of protein, 1.4 grams of saturated fats, and 3 grams of carbohydrates in sample A. There were 24 grams of protein, 1.4 grams of saturated fats, and no grams of carbohydrates in 3 ounces of sample B. There were 1 gram of protein, 0.2 grams of saturated fats, and 27 grams of carbohydrates in sample C. Which matrix represents the data?

A. F 5 1.4 3 0 1.4 24

1 0.2 27 G

B. F 5 1.4 3 24 1.4 0

1 0.2 27 G

C. F 5 1.4 3 24 1.4 3

1 2 27 G

D. F 5 14 3 24 14 0

1 2 27 G

7. At Carl’s computer store, a laptop cost $580, a computer bag costs $45, and a two-year service contract costs $98. At Cathy’s computer store, the same laptop costs $595, the same computer bag costs $32, a two-year service contract is free, and a case of paper costs $12. Which matrix represents the information?

A. F 580 45 98 595 32 0

G B. F 580 95 98

595 32 12 G

C. F 580 45 98 0 32 595

G D. F 580 595 45

32 98 0 G

8. A photographer takes pictures of national parks and sells them in his store. In April, he sold 40 small, 27 medium, and 8 large prints for $654. In May, he sold 32 small, 38 medium, and 12 large prints for $788. Which matrix represents the information?

A. F 40 27 8 654 32 38 12 788

G B. F 40 27 8 788

32 38 12 654 G

C. F 40 27 8 654 788 12 38 32

G D. F 40 38 8 654

32 27 12 788 G


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34Standards Review


Standard EA-3.1Algebra 1Functions

EA-3.1 Classify a relationship as being either a function or not a function when given data as a table, set of ordered pairs, or graph.

EA-1.6 Understand how algebraic relationships can be represented in concrete models, pictorial models, and diagrams.

1. Which of the following graphs illustrate a function?

A. B.

C. D.


A. Temperature!F 23 32 41 50!C –5 0 5 10

B. CircleRadius 1 2 3 4Area 3.14 12.36 28.26 50.24

C. Store InventoryNumber of Shirts 5 10 6 2 9

Price per Shirt $20 $25 $30 $45 $50

D. Bus ScheduleBus Stop

Main St.

8th Ave.

42nd St.

River Rd.

Cedar Lane

Time 7:00 7:10 7:15 7:30 7:39

3. Which mapping does not show a function?

A. 3

5

9

2

0

4

6

1

B. -2

-1

0

1

3012

4

C. -3

3

2

-2

0

-1

1

D. -2

2

-1

1

4

2

4. Each set of ordered pairs shows a relation. Which set also represents a function?

A. {(1, 2), (2, 3), (2, 4), (3, 5), (4, 6)}

B. {(1, 2), (2, 3), (3, 4), (3, 5), (4, 6)}

C. {(1, 2), (2, 3), (3, 4), (4, 5), (5, 4)}

D. {(0, 1), (1, 2), (2, 4), (3, 5), (1, 6)}


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35Standard EA-3.1



A. x y–2 3–1 2 0 1 1 0 2 –1

B. x y0 01 –11 12 –22 2

C. x y-1 3.5 0 1 1 –0.5 2 –1 3 –0.5

D. x y–2 –2–1 –1 0 0 1 1 2 2

6. Consider the relation {(0, 0), (1, 0), (1, 1), (2, 2), (3, 3)}. Which ordered pair could be removed from the set so that resulting set would represent a function?

A. (0, 0) B. (2, 2)

C. (1, 1) D. (3, 3)

7. Which of the following is a function?

A.

B. {(0, 0), (1, 1), (1, –1), (4, 2)}

C. Bird CountRobin Blue Jay Sparrow

Number 15 7 15

D. x y2 –34 –12 34 1

8. Which of the following graphs does not illustrate a function?

A.

42

-4

-2

4

2

y

x

-2-4 0

B.

42

-4

-2

4

2

y

x

-2-4 0

C.

42

-4

-2

4

2

y

x

-2-4 0

D.

42

-4

-2

4

2

y

x

-2-4 0


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36Standards Review


Standard EA-3.2Algebra 1Function Notation

EA-3.2 Use function notation to represent functional relationships.

EA-1.6 Demonstrate an understanding of algebraic relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic)

1. Which notation represents the function shown in the graph?

42

-4

-2

4

2

y

x

-2-4 0y = -x2 - 2

A. f(x) = !x2 ! 2

B. f(y) = !x2 ! 2

C. f(!x2 ! 2) = y

D. f(!2) = !x2

2. Which graph represents the function f(x) = x + 1

A.

42

-4

-2

4

2

y

x

-2-4 0

y = x + 1

B.

42

-4

-2

4

2

y

x

-2-4 0

y = x - 1

C.

42

-4

-2

4

2

y

x

-2-4 0

y = -x + 1

D.

42

-4

-2

4

2

y

x

-2-4 0

y = -x - 1

3. The cost of renting a boat is $15 plus $3 an hour. Which of the following describes this relationship in function notation?

A. f(c) = 3h + 15

B. f(h) = 3h + 15

C. f(c) = 15h + 3

D. f(h) = 15h + 3

4. Lana has $1,000 in her savings account at 2% annually. Which notation shows interest as a function of time?

A. f(i) = (1,000)(0.02)t

B. f(i) = (1,000)(2)t

C. f(t) = (1,000)(0.02)t

D. f(t) = (1,000)(2)t

5. Which statement is true about the graph?

42

-4

-2

4

2

y

x

-2-4 0

x = y2 - 2

A. f(y) = y2 ! 2

B. f(x) = y2 ! 2

C. The graph represents a function.

D. The graph does not represent a function.


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37Standard EA-3.2



42

-4

-2

4

2

y

x

-2-4 0

y = - x + 121

A. f(x + 3) = ! 1 } 2 x

B. f(x ! 3) = ! 1 } 2 x

C. f(y) = ! 1 } 2 x + 3

D. f(x) = ! 1 } 2 x + 3

7. Which statement represents the function notation for y = !5x ! 5?

A. f(x) = !5(x + 1)

B. f(x) = !5(x ! 1)

C. f(y) = !5x ! 5

D. f(y) = !5(x ! 1)

8. The formula for the circumference of a circle is C = 2"r where C is the circumference and r is the radius. Which is the notation for this functional relationship?

A. f(r) = 2"r

B. f(C) = 2"r

C. f(r) = 2"r2

D. f(C) = "r2

9. Beth can drive 28 miles on one gallon of gasoline, g. If gas costs $2.40 per gallon, what is the relationship between the distance, d, Traveled and the cost, c?

A. f(g) = 2.40g

B. f(d) = 2.40d

C. f(d) = d } 28 (2.40)

D. f(c) = d } 28 (2.40)


42

-4

-2

4

2

y

x

-2-4 0

y = x + 2

A. f(y) = |x| + 2

B. f(x) = |x| + 2

C. f(x ! 2) = |x|

D. f(x + 2) = |x|

11. The fi rst few values of a function are shown in the table below.

n 1 2 3 4 5f(n) -2 -3 -4 -5 -6

Which notation gives an expression for f(n) that is consistent with the information in the table?

A. f(n) = !n ! 1

B. f(n) = !2n

C. f(n) = !n + 1

D. f(n) = n ! 3

12. Which statement represents the function notation for 3 = x ! y?

A. g(x) = x + 3

B. g(x) = x ! 3

C. f(y) = x ! y

D. f(x) = x ! y

13. Which statement represents the function notation for y = x3 + 5x2 ! 2x + 3.

A. f(x ! 3) = x3 + 5x2 ! 2x

B. f(x + 3) = x3 + 5x2 ! 2x

C. f(x) = x3 + 5x2 ! 2x + 3

D. f(y) = x3 + 5x2 ! 2x + 3


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38Standards Review


Standard EA-3.3Algebra 1Evaluate Functions

EA-3.3 Carry out a procedure to evaluate a function for a given element in the domain.


1. Find the value of f(x) = 3x ! 4 for x = 5.

A. 10 B. 11

C. 15 D. 19

2. Which is the value of f(x) = 2x2 ! 3x + 1 for x = !3.

A. 10 B. 21

C. 26 D. 28

3. Evaluate g(!1) given g(x) = 3x3 ! 5.

A. !2 B. !8

C. !15 D. !32

4. For y = 2x2 + 4x ! 1, what is the value of y when x = 2?

A. !5 B. !1

C. 12 D. 15

5. Find the value of f(x) = (x !2)2 for x = 6.

A. 16 B. 32

C. 34 D. 64

6. Evaluate h(s) = (s + 1)3 for s = !3.

A. !8 B. 7

C. 8 D. 9

7. Find the value of y for x = 1 } 3 , if y = 1 } x + 2.

A. !1 B. 2 1 } 3

C. 3 D. 5

8. Find the value of the function f(a) = 5a3 for a = 2.

A. 20 B. 30

C. 40 D. 50

9. Given g(t) = !t2 ! 4, evaluate g 1 ! 1 } 2 2 .

A. -4 1 } 2 B. -4 1 } 4

C. -3 3 } 4 D. -3 1 } 2

10. Given h(x) = 3 } x + 2 , evaluate h(4).

A. 1 } 2 B. 3 } 2

C. 2 D. 3

11. Evaluate f(n) for n = !10 given f(n) = n2 }

5 .

A. !20 B. !2

C. 4 D. 20

12. Which is the value of g(h) = h2 + 6

} h3 ! 2

for h = 3?

A. 2 1 } 7 B. 1 } 3

C. 3 } 5 D. 3 } 25


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39Standard EA-3.3


13. Find the value of the function g(x) = x3 ! 3x2 + 1 for x = !2.

A. -19 B. -5

C. 5 D. 19

14. Evaluate f(a) = a + 3 } 4 for a = 1 } 2 .

A. 1 } 2 B. 1 1 } 4

C. 1 1 } 2 D. 2 3 } 4

15. Which is the value of h(t) = 3t2 ! 1 } 2 for t = ! 1 }

2 .

A. -2 B. -1 1 } 4

C. 1 } 4 D. 1

16. Find the value of the function f(x) = x2 + 1

} x ! 1 for x = 3.

A. 2 B. 2 1 } 2

C. 4 D. 5

17. Find the value of f(x) = x!1 for x = 3.

A. !3 B. ! 1 } 3

C. 1 } 3 D. 3

18. Evaluate h(n) = n!2 for n = 2

A. 0 B. 1 } 4

C. 1 } 2 D. 4

19. Given g(y) = 2y3 + y2 ! 3, evaluate g(y) for y = !1.

A. -6 B. -4

C. -2 D. 0

20. Evaluate f(n) = 1 } n2 for n = 1 } 2 .

A. 1 } 4 B. 1 } 2

C. 2 D. 4

21. Find the value of the function h(x) = x ! 1 for x = 0.5.

A. -1.5 B. -0.5

C. 0.5 D. 1.5

22. Given g(n) = n2 + n ! 2, evaluate g(0.2).

A. -2.24 B. -2.16

C. -1.76 D. -1.40

23. Which is the value of f(b) = Ï}

b for b = 4.

A. 16 B. 2

C. 4 Ï}

2 D. Ï}

2

24. For y = Ï}

x2 + 9, what is the value of y when x = 5?

A. 45 B. 25

C. 14 D. 8


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40Standards Review


Standard EA-3.4Algebra 1EA-3.4 Analyze the graph of a continuous function to determine the domain and range of the function.


1. Analyze the graph below to determine the domain and range of the function.

42

-4

-2

4

2

y

x

-2-4 0

A. Domain: All real numbers Range: y ! 2

B. Domain: y ! 2 Range: All real numbers

C. Domain: All real numbers Range: "2 ! y ! 2

D. Domain: "2 ! x ! 2 Range: All real numbers

2. Which graph does not represent a continuous function?

A.

42

-4

-2

4

2

y

x

-2-4 0

B.

42

-4

-2

4

2

y

x

-2-4 0

C.

42

-4

-2

4

2

y

x

-2-4 0

D.

42

-4

-2

4

2

y

x

-2-4 0

3. Analyze the graph below to determine the domain and range of the function.

42

(0, 3)

-4

-2

4

2

y

x

-2-4 0

A. Domain: x # 3 Range: y ! 3

B. Domain: x # 3 Range: All real numbers.

C. Domain: All real numbers Range: y ! 3

D. Domain: All real numbers Range: All real numbers

4. Determine the domain of the function represented by the graph.

42

-4

-2

4

2

y

x

-2-4 0

A. x is less than or equal to 2.

B. x is greater than or equal to "2 and less than or equal to 2.

C. All real numbers.

D. y less than or equal to 2.


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41Standard EA-3.4


5. Determine the range of the function represented by the graph.

42

-4

-2

4

2

y

x

-2-4 0

A. y is greater than or equal to !2 and less than 0.

B. All real numbers.

C. y is greater than or equal to 0.

D. y is greater than or equal to !2.

6. Which function has a range that is greater than or equal to !1?

A.

42

-4

-2

4

2

y

x

-2-4 0

B.

42

-4

-2

4

2

y

x

-2-4 0

C.

42

-4

-2

4

2

y

x

-2-4 0

D.

42

-4

-2

4

2

y

x

-2-4 0

7. Determine the range of the function represented by the graph.

42

-4

-2

4

2

y

x

-2-4 0

A. !1 < y " 1 B. !1 < y < 1

C. !1 " y " 1 D. All real numbers

8. What is the range of the function represented by this graph?

4

(0, 1)

2

-4

-2

4

2

y

x

-2-4 0

A. All real numbers

B. 0 " y " 1

C. y # 0

D. y > 0

9. Determine the domain and range of the function represented by this graph.

42

-4

-2

4

2

y

x

-2-4 0(1, 0)

A. Domain: All real numbers Range: All real numbers

B. Domain: x > 1 Ranges: y > 0

C. Domain: x > 0 Range: y > 1

D. Domain: All real numbers Range: y > 0


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42Standards Review


Standard EA-3.5Algebra 1Graph Parent Functions

EA-3.5 Carry out a procedure to graph parent functions (including y = x, y = x2,

y = Î} x , y = |x|, and y = 1 } x )


1. The graph below shows which function?

42

-4

-2

4

2

y

x

-2-4 0

A. y = x B. y = Î} x

C. y = |x| D. y = x2


42

-4

-2

4

2

y

x

-2-4 0

A. y = x B. y = Î} x

C. y = |x| D. y = x2


42

-4

-2

4

2

y

x

-2-4 0

A. y = x B. y = Î} x

C. y = |x| D. y = x2

4. The table below shows the x- and y-coordinates for several points on the graph of a function. Which of the following functions can this table of values help you graph?

n 0 1 4 9f(n) 0 1 2 3

A. y = x2

B. y = Î} x

C. y = |x|

D. y = 1 } x

5. Consider the graph of the function y = |x|. If the y-coordinate of one of the points on the graph is 3, which of the following is the x-coordinate of that point?

A. -3

B. 3

C. 9

D. cannot be determined

6. Consider the graph of the function y = |x|. If the x-coordinate of one of the points on the graph is 3, which of the following is the y-coordinate of that point?

A. -3

B. 3

C. 9

D. cannot be determined


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43Standard EA-3.5


7. The graph of which function below contains all the points represented by the following list of ordered pairs? (2.8, 2.8), (7, 7), (3.5, 3.5), (0, 0) (-3, 3)

A. y = |x|

B. y = x

C. y = 1 } x

D. y = Î} x

8. Which is a graph of the function y = 1 } x ?

A.

42

-4

-2

4

2

y

x

-2-4 0

B.

42

-4

-2

4

2

y

x

-2-4 0

C.

42

-4

-2

4

2

y

x

-2-4 0

D.

42

-4

-2

4

2

y

x

-2-4 0

9. The graphs of which pair of functions below have exactly the same points in quadrant I?

A. y = Î} x and y = |x|

B. y = Î} x and y = x2

C. y = |x| and y = x

D. none of these

10. The graph of which of the following functions does not contain the point (0, 0)?

A. y = x

B. y = 1 } x

C. y = |x|

D. y = Î} x

11. The graph of which of the following functions is symmetrical about the y-axis?

A. y = x

B. y = 1 } x

C. y = |x|

D. y = Î} x

12. The graph of which function below contains all the points represented by the following list of ordered pairs?

1 –3, - 1 } 3 2 , 1 2, 1 } 2 2 , (3.5, 0.286), 1 5, 1 } 5 2

A. y = x2

B. y = 1 } x

C. y = |x|

D. none of these

13. Which of the following statements is true about the function y = Î}

x ?

A. The function is linear.

B. The x- and y-coordinates of all points on the graph are negative.

C. The x- and y-coordinates of all points on the graph are positive.

D. The x- and y-coordinates of all points on the graph may be either negative or positive.


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44Standards Review


Standard EA-3.6Algebra 1Direct and Inverse Variation

EA-3.6 Classify a variation as either direct or inverse.


1. Is the equation 2x + 3y = 8 an example of direct variation?

A. Yes

B. No, it is an example of inverse variation.

C. No, it is neither direct variation nor inverse variation.

D. It cannot be determined.

2. By looking at the table, is the relationship a direct variation?

x 1 3 5

y 6 18 30

A. Yes




3. The scale on a road map indicates that 1 inch represents 50 miles. Is the relationship between the length of a road on the map and the length of the actual road it represents an example of direct variation?

A. Yes




4. Is the equation an inverse relationship for x and y?

y - x = 3

A. Yes

B. No, it is an example of direct variation.



5. What function would y = k } x represent if k = 0?

A. The constant function x = 0.

B. The constant function y = 0.

C. The constant function x = 1.

D. The constant function y = 1.

6. Does the following table show an inverse relationship?

x 1 2 4y 20 10 5

A. Yes





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45Standard EA-3.6


7. In the following table does the data show an inverse relationship?

x -12 1 8y 24 -2 -16

A. Yes




8. Which of the following descriptions best describes the graph?

1 3 40

2

4

6

8

Am

ount

ear

ned

($)

Time worked (h)

Carmen’s Wages

2

A. Carmen earns $10 per hour. The total amount of her paycheck varies directly with the amount of time she works.

B. Carmen earns $5 per hour. The total amount of her paycheck varies inversely with the amount of time she works.

C. Carmen earns $6 per hour and there is no relationship between any variables.

D. Carmen earns $5 per hour. The total amount of her paycheck varies directly with the amount of time she works.

9. A rectangle has an area of 24 square inches. If x represents the length of the rectangle and y represents its width, is the relationship of x and y an example of direct variation?

A. Yes




10. Is the relationship between the circumference of a circle and its diameter an example of inverse variation?

A. Yes




11. A car travels from one city to another, a distance of 120 miles. Is the relationship between the speed in miles per hour and the number of hours of travel time an example of an inverse variation?

A. Yes




12. Which graph best represents a direct variation?

A. B.

C. D.


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46Standards Review


Standard EA-3.7Algebra 1Literal Equations

EA-3.7 Carry out a procedure to solve literal equations for a specifi ed variable.

EA-1.2 Connect algebra with other branches of mathematics.

1. Use the formula for the perimeter of a rectangle: P = 2(l + w). Solve for w.

A. w = p - 2l

B. w = - 2l + p

C. w = p } 2 -l

D. w = p - l

} 2

2. Use the formula for the area of a triangle: A = 1 } 2 bh. Solve for h.

A. h = 2A - b

B. h = 2A

C. h = b - 2A

D. h = 2A } b

3. Use the formula for the volume of a rectangular prism: V = lwh. Solve for w.

A. w = V - lh

B. w = V + lh

C. w = V } lh

D. w = lh } V

4. Use the distance formula: d = rt. Solve for r.

A. r = d + t

B. r = t - d

C. r = t } d

D. r = d } t

5. Use the formula for converting a Celsius temperature to its equivalent Fahrenheit

temperature: C = 5 } 9 (F – 32).Solve for F.

A. F = 9C } 5 + 32

B. F = 9C } 5 - 32

C. F = 9C } 5 - 160

D. F = 9C } 5 + 160

6. The formula for density is D = m } V , where m = mass and V = volume. If you know the mass and density of a substance, how can you fi nd the volume?

A. V = D ! m

B. V = m } D

C. V = D } m

D. V = D + m

7. Which describes the fi rst step in solving the equation ax + b = c for b?

A. Subtract b from both sides.

B. Divide both sides by a.

C. Substract ax from both sides.

D. Divide both sides by x.

8. Use the formula C = 2"r to fi nd the radius, r, of a circle when the circumference, C, is 70 meters.

A. 439.60 meters B. 44.56 meters

C. 11.15 meters D. 22.29 meters


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47Standard EA-3.7


9. Use the slope-intercept form of an equation: y = mx + b. Solve for m.

A. m = y - b

} x

B. m = y + b

} x

C. m = y - x

} b

D. m = x - y

} b

10. Use the formula for the surface area of a right prism: S = 2A + Ph. Solve for h.

A. h = S - P } 2A

B. h = S + P

} 2A

C. h = S + 2A

} P

D. h = S - 2A } P

11. Use the formula for the volume of a cone: V = 1 } 3 !r2h. Solve for h.

A. h = V }

3!r2

B. h = 3V } !r2

C. h = 3V - !r2

D. h = 3V + !r2

12. Use the formula for the area of a trapezoid: A = 1 } 2 (b1 + b2)h. Solve for b1.

A. b1 = 2A } h + b2

B. b1 = 2A } h - b2

C. b1 = 2A } b2 + h

D. b1 = 2A } b2 - h

13. Use the formula for the surface area of a cylinder: S = 2!r2 + 2!rh. Solve for h.

A. h = S } 2!r - 2!r2

B. h = S }

2!r2- 2!r

C. h = S + 2!r2

} 2!r

D. h = S - 2!r2 } 2!r

14. Use the formula for the surface area of a

square pyramid: S = s2 + 4 1 1 } 2 bh 2 . Solve for b.

A. b = S - s2 } 2h

B. b = S + s2

} 2h

C. b = S - 2h }

s2

D. b = s2 - 2h

} S

15. Use the formula for the volume of a triangular prism: V = 1 1 } 2 bh 2 h.Solve for b.

A. b = 2 1 V } h 2

} h

B. b = h 1 V } h 2

} 2

C. b = 2Vh2

D. b = 2h2 - V

16. Use the formula for the surface area of a rectangular prism: S = 2lw + 2wh + 2lh. Solve for l.

A. l = 1 } 2 S + wh

} w + h

B. l = 1 } 2 S - wh

} w + h

C. l = 1 } 2 S - wh(w + h)

D. l = 1 } 2 S - wh(w - h)


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48Standards Review


Standard EA-3.8Algebra 1Apply Proportional Reasoning to Solve Problems

EA-3.8 Apply proportional reasoning to solve problems

EA-1.2 Connect algebra with other branches of mathematics.

1. The relationship of G and F represents a direct variation, and G = 15 when F = 45. What is the value of G when F = 120?

A. 30

B. 35

C. 40

D. 45

2. The equation a } b = 64 represents the relationship of a and b. What is the value of a when b = 4?

A. 8

B. 16

C. 128

D. 256

3. What value of n makes the following a proportion?

9 } 15 = n } 60

A. 4

B. 36

C. 45

D. 27

4. What values for t and s do not make t } s = 72 } 24

a proportion?

A. t = 9, s = 3

B. t = 12, s = 6

C. t = 24, s = 8

D. t = 36, s = 12

5. Solve 18 } y = 2 } 5 for y.

A. 9

B. 45

C. 18

D. 25

6. For every 72 students there are 16 females. If there are 4 females, about how many students are there?

A. 5

B. 7

C. 21

D. 18

7. A 25-foot tree casts a 15-foot shadow. How long is the shadow cast by a 5-foot pole at this time?

A. 5 feet

B. 10 feet

C. 15 feet

D. 3 feet

8. Solve for x given that 4 } 144 = x } 36 .

A. x = 4

B. x = 8

C. x = 7

D. x = 1


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49Standard EA-3.8


9. Solve for x: 2 + x

} 13 = 5 - x } 7

A. x = -54

B. x = -26

C. x = 3 3 } 5

D. x = 2.55

10. For the function y = x2, if we double the x, what would happen to the y?

A. doubled

B. tripled

C. quadrupled

D. There is no change.

11. What is the missing x value?

5:3 = 3:x

A. 1.8

B. 2

C. 1.7

D. 2.3

12. A gourmet shop puts 3.5 ounces of oregano in a jar and sells it for $8.75. At that rate, how much should be charged for a 2-ounce jar? Round to the nearest cent if necessary.

A. $5.30

B. $5.46

C. $5.00

D. $6.85

13. The scale on a map indicates that 2.35 cm represents 73 km. Two towns on the map are 7.6 cm apart. In reality, how far apart are the towns? Round to the nearest km.

A. 260 km

B. 275 km

C. 250 km

D. 236 km

14. A model builder is using a scale of 1:144. How many inches long will each leg of an isosceles right triangle be on the model if the hypotenuse of the isosceles right triangle being modeled has a length of 780 feet? Round your answer to the nearest hundredth foot.

A. 3.83 ft

B. 5.42 ft

C. 14.7 ft

D. 29.3 ft

15. Two yards of fabric costs $13. If the cost varies directly with the length of fabric purchased, what is the cost of 5 yards of fabric?

A. $65

B. $32.50

C. $26

D. The cost cannot be determined.

16. Justin notices that a customer who spent $200 at a store has 45 bonus points toward a free gift. Justin has 60 bonus points. To the nearest dollar, how much money has Jason spent if the number of bonus points varies directly with the amount of money spent?

A. $13.50

B. $150

C. $240

D. $267


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50Standards Review


Standard EA-4.1Algebra 1Write the Equation of a Line Given the Slope and y-intercept

EA-4.1 Carry out a procedure to write an equation of a line with a given slope and a y-intercept.


1. Find the equation of the line with a slope of 2 and y-intercept of -1.

A. y = 2x + 1

B. y = 2x - 1

C. y = x - 2

D. y = -x - 2

2. Which is the equation of the line whose

slope is - 2 } 3 and whose y-intercept is 1 } 2 ?

A. y = ! 2 } 3 x + 1 } 2

B. y = 2 } 3 x - 1 } 2

C. y = 1 } 2 x - 2 } 3

D. y = - 1 } 2 x + 2 } 3

3. Jane drew a line with a slope of -1. The line crosses the y-axis at 3. Which is the equation of Jane’s line?

A. y = x + 3

B. y = -x - 3

C. y = -x + 3

D. y = 3x - 1

4. Which is the equation of the line that has the same slope as the line y = 2x + 3 and passes through the point (0, 1)?

A. y = 2x + 3

B. y = 2x + 1

C. y = 2x - 1

D. y = 2x

5. Which is the equation of the line for the graph given below?

4 62

-4

-2

4

2

y

x0

A. y = 3x + 6

B. y = 6x + 3

C. y = 1 } 2 x + 3

D. y = - 1 } 2 x + 3

6. Fran drew this graph on the board.

4 62

-4

-2

4

2

y

x0

Find the equation of the line Fran drew.

A. y = 3x - 2

B. y = -2x + 3

C. y = 2 } 3 x - 2

D. y = 3x - 2 } 3

7. Find the equation of the line that has the

same y-intercept as the line y = 1 } 2 x + 1 but

has a slope of 2.

A. y = x + 2 B. y = 2x + 1

C. y = - 1 } 2 x - 1 D. y = 1 }

2 x + 2


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51Standard EA-4.1


8. Which is the equation of this line?

4 62

-4

-2

4

2

y

x0

A. y = -x B. y = 2x

C. y = - 1 } 2 x D. y = 1 }

2 x

9. Which is the equation of the line for the graph given below?

4 62

-4

-2

4

2

y

x0

A. y = -2x + 4

B. y = 4x - 2

C. y = - 1 } 2 x + 4

D. y = 2x + 4

10. Jon wrote y = - 3 } 4 x + 4 on the board. Which

statement is true?

A. The slope of the line is - 3 } 4 and the

y-intercept is 4.

B. The slope of the line is 3 } 4 and the y-intercept is -4.

C. The slope of the line is -4 and the y-intercept is 3 } 4 .

D. The slope of the line is 4 and the y-intercept is - 3 }

4 .

11. Susan wrote y = - 3 } 2 x on the board. Which

statement is true?

A. The line does not cross the y-axis.

B. The line crosses the y-axis at (0, - 3 } 2 ).

C. The line crosses the y-axis at (-3, 2).

D. The line crosses the y-axis at (0, 0).

12. Which of the following is the equation of the line that has the same slope as y = - 3 }

2 x + 2

and the y-intercept as y = 3x - 2?

A. y = - 3 } 2 x + 3

B. y = - 3 } 2 x - 2

C. y = 3 } 2 x - 2

D. y = 3x + 2

13. Which graph shows the line y = -x + 2

A.

42

-6

-4

-2

2y

x

-2-4 0

B.

42

-4

-2

4

2

y

x

-2-4 0

C.

42

-4

-2

4

2

y

x

-2-4 0

D.

42

-4

-2

4

2

y

x

-2-4 0

14. Which is the equation of the line that has a slope of -1 and whose graph crosses the y-axis at the origin?

A. y = -x - 1 B. y = x - 1

C. y = -x D. none of these


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52Standards Review


1. Which is the equation of a line passing through the point (4, 6) with a slope of 3?

A. y = !6x + 3

B. y = 3x ! 14

C. y = 3x ! 6

D. None of these

2. Which is the equation of a line that has the same slope as y = 2x + 3 and passes through the point (4, 0)?

A. y = 2x ! 8

B. y = 2x

C. y = 2x + 4

D. y = 4x + 3

3. A line has a slope of !2 and passes through the point (!2, 8). Which is the equation of the line?

A. y = !2x ! 2

B. y = !2x + 4

C. y = !2x + 14

D. y = 8x ! 2

4. Which is the equation of the line that is parallel to y = 6x ! 2 and passes through the point (0, 0)?

A. y = !2x + 6

B. y = !2x

C. y = ! 1 } 6 x + 2

D. y = 6x

5. What is the equation of the graph below?

42

-4

-2

4

2

y

x

-2-4 0

A. y = 1 } 2 x ! 1

B. y = 1 } 2 x + 1

C. y = ! 1 } 2 x ! 1

D. y = ! 1 } 2 x + 1

6. Brian drew the graph of y = !2x + 3 on the board. Which is the equation of a line that is parallel to Brian’s and passes through the point (!3, 5)?

A. y = !2x ! 1

B. y = ! 1 } 2 x ! 1

C. y = 1 } 2 x ! 1

D. y = 2x ! 1

7. Which is the equation of a line that is perpendicular to y = 3x + 4 and passes through the point (6, !1)?

A. y = 3x + 9

B. y = 3x ! 19

C. y = ! 1 } 3 x + 5 2 } 3

D. y = ! 1 } 3 x + 1

Standard EA-4.2Algebra 1Write the Equation of a Line Given the Slope and a Point on the Line

EA-4.2 Carry out a procedure to write an equation of a line with a given slope passing through a given point.

EA-1.5 Demonstrate an understanding of algebraic relationships by using a variety of representations (Including verbal, graphic, numerical, and symbolic).


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53Standard EA-4.2


8. Mari drew the following graph on the board?

42

-4

-2

4

2

y

x

-2-4 0

Which is the equation of Mari’s line?

A. y = 3x ! 2

B. y = 3x + 2

C. y = !2x + 3

D. y = 2x + 3

9. Which is the equation of a line with a slope

of ! 2 } 3 and passes through the point

(!3, 4)?

A. y = ! 2 } 3 x ! 1

B. y = ! 2 } 3 x + 2

C. y = 2 } 3 x + 6

D. y = 2 } 3 x ! 17

10. Which is the equation of a line that is parallel to 3x ! 4y = 4 and passes through the point (4, 5)?

A. y = ! 3 } 4 x + 8

B. y = 3 } 4 x ! 1

C. y = 3 } 4 x + 2

D. None of these

11. Which is the equation of a line that is

perpendicular to y = ! 1 } 2 x + 3 and passes

through the point (–1, 3)?

A. y = !2x + 1

B. y = ! 1 } 2 x + 5 } 2

C. y = 2x ! 7

D. y = 2x + 5

12. Which is the equation of the graph below?

4 62

-4

-2

4

2

y

x0

A. y = ! 4 } 3 x + 2

B. y = ! 3 } 4 x + 2

C. y = 3 } 4 x + 2

D. y = 4 } 3 x + 2

13. Which is the equation of a line that is perpendicular to 2x + 3y = 6 and passes through the point (2, 0)?

A. y = ! 3 } 2 x + 3

B. y = 2 } 3 x ! 3

C. y = 3 } 2 x ! 3

D. y = 2 } 3 x ! 4 } 3

14. Which is the equation of a line that has a slope of 1 and passes through the point (3, -5)?

A. y = 3x - 8 B. y = 3x - 5

C. y = x - 5 D. y = x - 8

15. Which is the equation of a line that has the

same slope as the line y = - 1 } 3 x + 3 and

passes through the point (-3, 4)?

A. y = - 1 } 3 x + 4

B. y = - 1 } 3 x + 3

C. y = - 1 } 3 x - 3

D. y = - 1 } 3 x


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54Standards Review


1. Which is the equation of a line that passes through the points (1, 4) and (!1, 1)?

A. y ! 4 = 2 } 3 (x ! 1)

B. y ! 1 = 2 } 3 (x ! 4)

C. y ! 4 = 3 } 2 (x ! 1)

D. y ! 1 = 3 } 2 (x ! 4)

2. Which equation represents the relationship shown by the data in the following table?

x y!4 9 2 !3 5 !9 9 !17

A. y + 3 = !2(x ! 2)

B. y + 3 = ! 1 } 2 (x ! 2)

C. y + 3 = 1 } 2 (x ! 2)

D. y + 3 = 2(x ! 2)

3. Which is the equation of the line that passes through the points (!8, 4) and (!4, !2)?

A. y + 2 = 3 } 2 (x + 4)

B. y + 2 = 2 } 3 (x + 4)

C. y + 2 = ! 2 } 3 (x + 4)

D. y + 2 = ! 3 } 2 (x + 4)

4. A line passes through the points (1, 1 } 2 ) and

(3, 2). Which is the equation of the line?

A. y ! 2 = 3 } 4 (x ! 1)

B. y ! 2 = 3 } 4 (x ! 3)

C. y ! 2 = 4 } 3 (x ! 1)

D. y ! 2 = 4 } 3 (x ! 3)

5. A line passes through the points (!1, 0) and (1, 2) which is the equation of the line?

A. y = !x + 1

B. y = x ! 2

C. y = x ! 1

D. y = x + 1

6. Tom drew the following table of values on the board. He says that the relationship shown by the data is linear.

x y!10 !5 !2 19 5 40 11 58

Which equation represents the relationship?

A. y = !3x + 55

B. y = 1 } 3 x ! 5 } 3

C. y = 3x + 25

D. none of these

Standard EA-4.3Algebra 1Write the Equation of a Line Given Two Points on the Line

EA-4.3 Carry out a procedure to write an equation of a line passing through two given points.



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55Standard EA-4.3


7. A line passes through the points (6, 2) and (1, !1). Which is the equation of a line?

A. y = ! 3 } 5 x ! 2 } 5

B. y = 3 } 5 x ! 23 } 5

C. y = 5 } 3 x ! 8 } 3

D. y = 3 } 5 x ! 8 } 5

8. You can park your car outside of the city of Peaches and rent a bike to travel around the city. The table shows how much it costs to rent a bike.

x y1 202 353 504 65

The relationship shown by the data is linear. Which equation represents the relationship?

A. y = !15x + 35

B. y = 15x ! 300

C. y = 15x + 5

D. y = 1 } 15 x ! 300

9. Which is the equation of a line that passes

through the points (!3, 0) and (! 3 } 2 , 2)?

A. y = ! 4 } 3 x ! 4

B. y = 4 } 3 x + 4

C. y = 3 } 4 x + 9 } 4

D. y = ! 3 } 4 x ! 3

10. Which is the equation of a line containing (!3, 5) if it also contains the origin?

A. y = ! 3 } 5 x

B. y = ! 5 } 3 x + 5

C. y = ! 5 } 3 x

D. y = ! 5 } 3 x ! 3

11. Which is the equation of a line containing points (!2, 0) and (0, !2)?

A. y = !x ! 2

B. y = !2x ! 2

C. y = x ! 2

D. y = !x + 2

12. Which equation represents the relationship shown by the data in the following table?

x y10 7512 9515 12519 165

A. y = 1 } 10 x + 74

B. y = 10x + 175

C. y = 10x ! 25

D. y = 10x ! 45

13. Which is the equation of a line containing (!2, 6) and (1, !6)?

A. y = !4x + 14

B. y = !4x ! 2

C. y = 4x + 2

D. y = 4x ! 14

14. Which is the equation of a line passing through the points 1 1 }

2 , 2 2 and 1 - 1 }

2 , 4 2 ?

A. y = !2x + 3

B. y = 1 } 2 x + 2

C. y = 2x - 8

D. y = 2x + 5


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56Standards Review


The following scatterplot shows the relationship between the age of a person and the person’s income. Use the scatterplot and its trend line to answer questions 1 – 3.

140

120

10080

6040

20

00 10 20 30 40 50 60 70 80

Year

ly In

com

e(in

tho

usan

ds o

f do

llars

)

Age of Person

Age of Person Vs. Yearly Income

1. Based on the graph, what kind of correla-tion exists between a person’s age and the person’s income?

A. none

B. positive

C. negative

D. perfect linear

2. Using the trend line, about how much yearly income should a 49-year old make?

A. $35,000 B. $60,000

C. $80,000 D. $100,000

3. Which is the equation of the trend line for this data?

A. y = - 1 } 2 x + 130

B. y = 1 } 2 x + 70

C. y = -2x + 220

D. y = 2x - 20

Use the following scatterplot to answer questions 4 – 6.

40

50

30

20

10

10 20 300x

y

4. Which of the following graphs best describes the relationship between the variables x and y?

A.

y

x

B.

y

x

C.

y

x

D.

y

x

5. What is the value of y when x = 10?

A. 35 B. 38

C. 42 D. 48

6. Find the equation of the trend line for the scatterplot above.

A. y = - 1 } 2 x + 40 B. y = 1 } 2 x + 20

C. y = –2x + 55 D. y = 2x – 30

Standard EA-4.4Algebra 1Write the Equation of a Trend Line for a Given Scatterplot

EA-4.4 Use a procedure to write an equation of a trend line from a given scatterplot.



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57Standard EA-4.4


The following scatterplot shows the relationship between the number of pages in a book and the price of the book. Use the scatterplot and its trend line to answer questions 7 – 9.

4540353025201510

50

0 100 200 300 400 500

Pric

e (in

dol

lars

)

No. of Pages

Price of Novels Vs.No. of Pages in Novel

7. Describe the relationship between the number of pages in a novel and its price.

A. none

B. positive

C. negative

D. perfect linear

8. What is the difference between the price for a 300-page novel on the trend line and the actual price of a 300-page novel?

A. -$2

B. $0

C. $3

D. $5

9. Which is the equation of the trend line for

the scatterplot above?

A. y = 2x

B. y = x

C. y = 1 } 2 x

D. y = 7 } 80 x

Use the following scatterplot to answer questions 10 – 12.

40

50

30

20

10

60

2 4 6 80

y = -y = -10-3 x+ 50

10. What is the slope of the trend line?

A. -3

B. - 10 } 3

C. 1 } 3

D. 3

11. Which of the following statements is not true?

A. The x-axis represents the independent variable.

B. There is a negative correlation between the variables.

C. As the x-values increase the y-values increase.

D. As the x-values increase the y-values decrease.

12. Which is the equation of the trend line for this scatterplot?

A. y = -3x + 48

B. y = - 10 } 3 x + 50

C. y = 1 } 3 x + 28

D. y = 3x + 12


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58Standards Review


Use the following fi gures to answer questions 1 - 3.

I III

II IV

1. Which graphs show a positive correlation?

A. Graphs I and II

B. Graphs I and IV

C. Graphs III and IV

D. It is impossible to tell without labels on the graphs

2. Which graphs show a negative correlation

A. Graphs I and II

B. Graphs I and IV

C. Graphs III and IV

D. It is impossible to tell without labels on the graphs

3. Which graphs show a strong correlation?

A. Graphs I and II

B. Graphs I and IV

C. Graphs II and III

D. Graphs III and IV

The following scatterplot shows the relationship between the year and student enrollment in a school. Use the scatterplot to answer questions 4 - 6.

02003 2004 2005 2006 2007 2008 2009 2010

20406080

100120140160180200

Enro

llmen

t

Year

4. Which is true of the value of the slope of the trend line?

A. The slope of the trend line is zero.

B. The slope of the trend line is positive.

C. The slope of the trend line is negative.

D. None of these.

5. Suppose the trend in enrollment continues. Predict the enrollment in 2010.

A. 110

B. 130

C. 150

D. 170

6. In this context, what do the coordinates (2007, 160) mean?

A. The average number of students enrolled in the year 2007.

B. The slope of the trend line is 2007.

C. In the year 2007, 160 students enrolled.

D. Enrollment is the independent variable.

Standard EA-4.5Algebra 1Analyze a Scatterplot

EA-4.5 Analyze a scatterplot to make predictions.



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59Standard EA-4.5


The following scatterplot shows the heights and ages of a number of boys. Use the scatterplot and its trend line to answer questions 7 - 9.

Hei

ght

(inch

es)

Age (Years)

72

56

40

0 8 10 1412

7. Based on the graph, what kind of correlation exists between the height and age of boys?

A. none

B. positive

C. negative

D. perfect linear

8. Based on the graph, how tall would you expect an average 11-year-old boy to be?

A. 56 in.

B. 62 in.

C. 69 in.

D. 72 in.

9. If the trend in the chart were to continue, how tall would you expect a 20-year-old

to be?

A. 74 in.

B. 80 in.

C. 86 in.

D. 92 in.

The following scatterplot shows the age of a car and its value. Use the scatterplot and its trend line to answer questions 10 - 13.

05,000

10,00015,00020,00025,00030,00035,000

0Age of the Car (in years)

Valu

e of

the

Car

(in d

olla

rs)

Age of the CarVs. Value of the Car

1 2 3 4

10. What is the value of the car when it is new?

A. $5000

B. $10,000

C. $25,000

D. $30,000

11. How much does the car decrease in value per year?

A. $100

B. $1000

C. $3000

D. $5000

12. Predict the value of the car when it is 5 years old.

A. $5000

B. $8000

C. $10,000

D. $15,000

13. How old will the car be when it loses all of its value?

A. 7 years old

B. 8 years old

C. 9 years old

D. 10 years old


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60Standards Review


1. Which equation is written in point-slope form?

A. y = 6x ! 28

B. y ! 2 = 6(x ! 5)

C. 6x ! y = 28

D. y + 28 = 2 + 28

} 5 ! 0 x

2. What is an equation in standard form of a line with slope !2.5 that contains point (!4, 5)?

A. 5x ! 2y = 10

B. y = !2.5x ! 5

C. 5x + 2y = 10

D. 5x + 2y = !10

3. The x- and y-intercepts of the graph of 7x ! 3y = 42 are:

A. 3 and 7

B. 6 and 14

C. 6 and !14

D. 7 and -3

4. What are the values of A, B, and C of the equation 3y + 8 = 2x ! 4 in standard form?

A. 2, 3, 12

B. !2, 3, !12

C. !2, 3, 12

D. !2, !3, !12

5. Which equation cannot be written in slope-intercept form?

A. x = !3 B. y = 2

C. x = 1.5y D. x + y = ! 4

6. What is an equation in point-slope form of the line containing (6, !1) and (0, 5)?

A. y ! 1 = 2 ! x ! 6

B. y ! 5 = !(x ! 0)

C. y + 1 = !x

D. y ! 6 = 5(x ! 0)

7. Which line has the same slope as 2x ! 3y = 7?

A. 5x + y = 8

B. 4x ! 5y = 1

C. 2x + 3y = 7

D. 3y = 2x + 7

8. What is the standard form of the equation y = 2?

A. y ! 2 = 0

B. x + y = 2

C. 0x + 1y = 2

D. y ! 2 = x

9. What are the slope and y-intercept of the line 7x ! 3y = 4?

A. 7 } 3 and ! 4 }

3

B. ! 7 } 3 and 4 } 3

C. ! 7 } 3 and ! 4 }

3

D. 7 } 3 and 4 } 3

10. What is the y-intercept of the following equation?

y + 4 = x ! 6 + 3x

A. 10 B. !10

C. 4 D. !6

Standard EA-4.6Algebra 1Represent Linear Equations in Multiple Forms

EA-4.6 Represent linear equations in multiple forms (including point-slope, slope-intercept, and standard).


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61Standard EA-4.6


11. Which equation is written in slope-intercept form?

A. x = !2y + 3

B. 2y = x + 3

C. y = ! 1 } 2 x + 3

D. x + 2y = 3

12. Which is an equivalent form of !3x + 2y = !3?

A. y = 3 } 2 x ! 3 } 2

B. y = 3 } 2 x + 3 } 2

C. y = 6x ! 6

D. y = 6x + 6

13. Which is the slope-intercept form of !2x ! 8y ! 3 = 0?

A. y = ! 1 } 4 x ! 3 } 8

B. y = 1 } 4 x ! 3 } 8

C. y = !16x ! 24

D. y = 16x + 24

14. Which is the standard form of

y = 1 } 3 x + 7 } 3 ?

A. x = 7 ! 3y

B. x + 3y = 7

C. ! 1 } 3 x + y = 7 } 3

D. y ! 7 } 3 = 1 } 3 x

15. Which is the point-slope form of y = 2x + 3?

A. 2x ! y = !3

B. 2y = 4x + 6

C. !2x + y = 3

D. y ! 7 = 2(x ! 2)

16. Which is the slope-intercept form of 7x + 2y = !9?

A. !2y = !7x ! 9

B. y = ! 7 } 2 x ! 9 } 7

C. y = !14x ! 18

D. y = 14x ! 18

17. Which is an equation in point-slope form of a line that contains (3, 5) and has a slope of 2?

A. y = 2x ! 1

B. !2x + y = !1

C. !2x + y = 2

D. y ! 5 = 2(x ! 3)

18. Which is the point-slope form of y = 3x + 4?

A. y ! 9 = 2(x ! 2)

B. y ! 10 = 3(x ! 2)

C. y + (!3x) = 4

D. !3x = !y + 4

19. Which is the standard form of y ! 3 = 2(x ! 4)?

A. y = !2x ! 5

B. y = 2x ! 5

C. 2x + y = !5

D. !2x + y = !5

20. Which is an equivalent form of y = ! 1 }

2 x ! 3?

A. !x + 2y = !6

B. !x + 2y = !3

C. x + 2y = !6

D. x + 2y = !3


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62Standards Review


1. What is the solution to the equation 8 ! k = 15?

A. k = 23 B. k = !23

C. k = 7 D. k = !7

2. What is the solution to the equation

w + 2 } 3 = 4 } 9 ?

A. w = 1 } 3

B. w = ! 2 } 9

C. w = 1 } 2

D. w = ! 1 } 3

3. What reciprocal would be used to solve the equation 3p = !12?

A. 1 } 12

B. 1 } 3

C. 3 } 1 D. !3

4. To solve the equation !24 = ! y }

6 , which

operation is used to isolate the variable y?

A. addition

B. division

C. subtraction

D. multiplication


-7w } 5 = 4 } 10 ?

A. w = ! 2 } 7

B. w = ! 14 } 25

C. w = ! 7 } 2

D. w = ! 25 } 14

6. Which equation best represents how to fi nd the cost of one video tape if 8 tapes cost $10.80?

A. 8v = 10.8

B. 10.8v = 8

C. v } 8 = 10.8

D. v } 10.8

= 8

7. The solution !22.2 is true for which equation?

A. n } 2 + 7 = !4.1

B. 2n + 7 = ! 4.1

C. n } 2 ! 7 = 4.1

D. n } 2 ! 2 = 4.12

8. Which is the solution to the equation 26 = !3g ! 4?

A. g < 0 B. g > !15

C. g = !10 D. all the above


!2 1 } 2 + w } !2 = 2 1 } 3 ?

A. w = ! 1 } 10

B. w = ! 1 } 3

C. w = ! 8 5 } 6

D. w = ! 9 2 } 3

10. What is the fi rst step in solving the equation

3 = a } 3 ! 7?

A. Subtract 3 from both sides.

B. Divide both sides by 3.

C. Add 7 to both sides.

D. Subtract 7 from both sides.

Standard EA-4.7Algebra 1Solve Linear Equations

EA-4.7 Carry out procedures to solve linear equations for one variable algebraically.


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63Standard EA-4.7


11. What is the solution to the equation 8x ! 10 = 6x ! 12 + 4x?

A. x = ! 11 } 9

B. x = 1

C. x = !1

D. x = !11

12. Which equation has a solution that is negative?

A. !5w + 2 = 15w ! 10

B. 2.5w + 1.3 = 1.3w ! 2.3

C. !4w = !12

D. 12 ! 6w = 10 ! 5w

13. Gary is studying for his fourth biology test. His fi rst three test scores were 82, 93, and 87. Gary needs to know what he must score on this test in order to have an average of exactly 90. Which equation can be used to fi nd the score Gary needs?

A. x + 82 + 93 + 87 }} 4 = 90

B. 4(x + 82 + 93 + 87) = 90

C. x } 4 + 82 + 93 + 87 = 90

D. x + 82 + 93 + 87 = 90 } 4

14. What property is being illustrated below?

x } 2 ! 3 = 15 ! 2x } 3

x } 2 ! 3 + 2x } 3 = 15 ! 2x

} 3 + 2x } 3

A. Property of Zero

B. Addition Property of Equality

C. Division Property of Equality

D. Distributive Property


2 } 3 c + 1 } 2 = 1 } 5 c + 3 } 10 ?

A. ! 3 } 7 B. 7 }

20

C. 1 1 } 14 D. 1 5 } 7

16. Which correctly shows the use of the Distributive Property on the left side of !3(1.5x + 3.2) = !1.3x?

A. !3.15x ! 9.6

B. 3.55x + 6.5

C. !4.5x ! 9.6

D. !4.5x + 9.6

17. What is the solution to the equation 4(!3x ! 5) = !2(5x + 3)?

A. x = !7 B. x = 13 } 11

C. x = !1 D. x = 13

18. In order to fi nd the perimeter of the rectangle, which equation can be used?

2x + 3

4x - 7

A. P = (2x + 3) + (4x ! 7)

B. P = 2(2x + 3) + (4x ! 7)

C. P = (2x + 3) + 2(4x ! 7)

D. P = 2(2x + 3) + 2(4x ! 7)

19. In the following equation, what step should be completed fi rst in order to solve for k?

9k ! 4(3k + 4) = 2k + (5k ! 21)

A. Combine like terms.

B. Add 21 to both sides.

C. Distribute !4.

D. Distribute 2k.

20. What is the solution to the equation 16(11x) = 176x?

A. x = 1

B. There is no solution.

C. There are infi nitely many solutions.

D. none of these


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64Standards Review


1. Which is the solution of the following inequality?

6(x ! 2) > 18

A. x > 5

B. x < 5

C. x > !5

D. x < !5

2. Which is the solution of the following inequality?

!2(x + 2) < !2x + 4

A. x > 2

B. x < 2

C. x > !2

D. none of these

3. Which of the following linear inequalities has the solution x > 1?

A. 4x + 8 > 4

B. 4x + 12 < 8

C. 6 ! 3x > 3

D. none of these

4. Which linear inequality is equivalent to x "!4?

A. x # 1 } 4

B. !x " !4

C. !x # 4

D. !x " 1 } 4

5. Describe the solution of 5x + 6 " 31.

A. all real numbers less than 5

B. all real numbers less than 31

C. all real numbers less than or equal to 5

D. all real numbers greater than or equal to 5

6. Which inequality describes the possible values of x?

18 x

10 x

A. x > 10

B. x < 10

C. x > 18

D. x < 18

7. Describe the graph of the solution of 6x " 42.

A. open dot on 7 and arrow pointing to the right

B. closed dot on 7 and arrow pointing to the left

C. closed dot on 7 and arrow pointing to the right

D. closed dot on 7

Standard EA-4.8Algebra 1Solve Linear Inequalities

EA-4.8 Carry out procedures to solve linear inequalities for one variable algebraically and then to graph the solution.



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65Standard EA-4.8


8. Three of the four linear inequalities are equivalent. Choose the one that does not belong.

A. x > !1

B. x < !1

C. !x + 5 > 6

D. 2x + 5 > 3x + 6

9. Which linear inequality is equivalent to 3x ! 7 > x ! 5?

A. x < 1

B. x < 2

C. x > 1

D. x > 2

10. Which linear inequality is equivalent to !5x + 2 > 7?

A. x < !1

B. x > !1

C. x < 1

D. x > 1

11. Solve.

!3(x + 1) < !2x + 3

A. x > 2

B. x < 2

C. x > !2

D. x < !2

12. Which graph represents the solution of the inequality

12 < ! 1 } 5 x?

A. 62 60 59 5861

B. 62 60 59 5861

C. 62 60 59 5861

D. 62 60 59 5861


!4y + 20 " y?

A. 2 4 5 63

B. 2 4 5 63

C. 2 4 5 63

D. 2 4 5 63


5 ! 3(x ! 8) < 14?

A. 3 5 6 74

B. 3 5 6 74

C.

3 5 6 74

D. 3 5 6 74


3.6 ! 5n # 16.1?

A. 4 2 13

B. 4 2 13

C. 4 2 13

D. 4 2 13


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66Standards Review


1. In which case would a system of two linear equations have multiple solutions?

A. The lines are perpendicular.

B. The lines are parallel.

C. The lines have the same equation.

D. A, B, and C are all correct.

2. In which case would a system of two linear equations have no solutions?

A. The lines are perpendicular.

B. The lines are parallel.

C. The lines have the same equation.

D. A, B, and C are all correct.

3. Given the graph below, what intrue about the number of solutions?

42

-4

-2

4

2

y

x

-2-4 0

A. no solution

B. exactly two solutions

C. one solution

D. infi nitely many solutions

4. In which quadrant does the graph of the following system intersect?

y = 3x + 1

2x + y = -9

A. I B. II

C. III D. IV

5. What is the y-coordinate of the intersection for the system of equations in the graph below?

42-2

6

4

2

y

x

-2-4 0

A. 3 B. 5

C. 7 D. 6

6. Which system of equations is represented by the graph shown below?

42

-4

-2

4

2

y

x

-2-4 0

A. x – y = 2 B. x – y = 2

2x + y = 7 2x – y = 7

C. x + y = 2 D. x + y = 2

2x + y = –7 2x + y = 7

7. How many solutions does this system of equations have?

y = 2 } 3 x + 4

y = 2 } 3 x - 2

A. no solution

B. one solution

C. two solutions

D. infi nitely many solutions

Standard EA-4.9Algebra 1Solve Systems of Linear Equations Graphically

EA-4.9 Carry out a procedure to solve systems of two linear equations graphically


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67Standard EA-4.9


8. Which value is the x-coordinate of the intersection of 3x + y = 15 and x + 2y = 10?

A. 3 B. 4

C. –3 D. –4

9. Which coordinate point is the solution to the system?

3x + 2y = 8

x – y = 1

A. (2, 1) B. (2, 0.5)

C. (–2, –1) D. (3, 2)

10. Which of the following cannot be the solution to a system of linear equations?

A. (0, 0) B. (0.73, 0.56)

C. (3 1 } 9 , 2) D. (2, 9) and (5, 1)

11. What is the y-coordinate of the intersection of 2x + y = 9 and x + 2y = 15?

A. 4.2 B. 1

C. 8 D. 7

12. Where is the intersection of this system located?

x + y = 5

x - y = -5

A. in a quadrant B. on the x-axis

C. on the y-axis D. the origin

13. Which ordered pair is a solution to the system graphed?

42

-4

-2

4

2

y

x

-2-4 0

A. (–1, 2) B. (–2, 1)

C. (1, –2) D. (–1, –2)

14. Which graph shows the solution to the following system of equations?

y = 3 } 2 x - 2

1 } 2 x + y = 2

A.

62 4

-4

-2

4

2

y

x

-2-6 -4 0

B.

62 4

-4

-2

4

2

y

x

-2-6 -4 0

C.

62 4

-4

-2

4

2

y

x

-2-6 -4 0

D.

62 4

-4

-2

4

2

y

x

-2-6 -4 0


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68Standards Review


1. What are the coordinates of the point of intersection for the following linear system?

y = 2x + 1

y = 3x ! 1

A. (2, 2) B. (2, 5)

C. (5, 2) D. (5, 5)

2. What is the value of x in the system of equations?

5x = 4y ! 7

8y = 6x + 2

A. !2 B. !3

C. 2 D. 3

3. Solve the system using substitution.

x + 2y = 11

3x + 2y = 13

A. (1, 5) B. (16, !2.5)

C. (!1, 6) D. (12, !0.5)

4. To solve the system by the substitutional method, which would not be an appropriate fi rst step?

x + 5y = !25

3x + y = 9

A. x = !25 ! 5y B. y = !5 ! x

C. y = 9 ! 3x D. y = !0.5x ! 5

5. What is the value of x in the solution of the system?

8x + 3y = 19

2x + y = 6

A. 6 B. 2

C. 1 } 6 D. 1 }

2

6. What is the resulting equation when the second equation in the system is substituted into the fi rst equation?

6x ! 4y = 11

y = 3x ! 2

A. 6x + 8 = 11 B. !6x ! 2 = 11

C. !6x ! 8 = 11 D. !6x + 8 = 11

7. Using substitution, a solution to a system of linear equations:

A. is correct if it satisfi es either of the equations.

B. is the exact intersection of the lines.

C. is a reasonable estimate.

D. cannot be checked without a graph.

8. To use substitution, you fi rst select an equation and solve it for a variable. What is the logical choice for this system?

5x + 3y = 45

x - 6y = 40

A. fi rst equation for x

B. fi rst equation for y

C. second equation for x

D. second equation for y

9. In order to solve the system by elimination, what quantity should be used to multiply each side of the fi rst equation before applying the Addition Property of Equality?

2x + y = 5

3x + 2y = 10

A. !3 B. !2

C. 2 D. 3

Standard EA-4.10Algebra 1Solve Systems of Linear Equations Algebraically

EA-4.10 Carry out a procedure to solve systems of two linear equations algebraically


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69Standard EA-4.10


10. In the system, what smallest possible factor of 48 can be used to multiply the fi rst equation to eliminate x?

6x + 5y = 13

8x ! 3y = !31

A. 2 B. 4

C. 5 D. 8

11. There exist two numbers such that the fi rst plus twice the second equals I, and 3 times the fi rst plus the second is 8. What is the sum of these two numbers?

A. 2 B. 3

C. 5 D. 8

12. What is the value of x in the system?

8x + 3y = 2

11x + 2y = !10

A. !6 B. !2

C. 2 D. 6

13. What is the value of y in the system?

3x + 5y = 12

3x ! 5y = !36

A. !4 B. !2.4

C. 0 D. 4.8

14. What method is the best choice to solve the system?

x + 8y = 41

x = 9

A. graphing B. elimination

C. substitution D. guess and check

15. Solve the system by elimination.

5x + 2y = 7

3x - 4y = -1

A. (!1, 1)

B. (1, !1)

C. (1, 1)

D. (!1, 6)

16. Choose the statement that is true for a system of two linear equations.

A. A system can only be solved by graphing the equations.

B. There is exactly one solution when the graphs of the equations are one line.

C. When solving a system by substitution the fi rst step is to add the equations.

D. There are infi nitely many solutions when the graphs of the equations have the same slope and intercepts.

17. Which is a solution of the system?

2x + y = !5

3x + 5y = !4

A. (3, 1) B. (0, !5)

C. (!3, 1) D. (2 !1)

18. What is the full solution to this system?

3x + 6 = 2y

6x + 12 = 4y

A. (1, 4)

B. (2, 6)

C. No solutions

D. Infi nitely many solutions

19. A system of equations representing two different vertical lines is:

A. consistent independent.

B. consistent dependent.

C. inconsistent.

D. inconsistent independent.

20. Choose the statement that is always true if a system of equations is independent.

A. The lines intersect the y-axis at the same point.

B. The lines have different slopes.

C. The lines pass through the origin.

D. The lines intersect the x-axis at the same point.


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70Standards Review


1. Which table of values can you use to help you graph the equation y = 2x ! 4?

A. x !2 !1 0 1 2y !8 !5 !2 1 4

B. x !2 0 2 3 5y !8 !4 0 2 6

C. x !1 0 2 3 5y !5 !4 0 3 6

D. x !4 !2 !1 0 3y !9 !7 !6 !5 !2

2. Jill makes a table to graph the equation y = !3x ! 5. What is the x-coordinate if y = !2?

A. !1 B. 0

C. 1 D. 11

3. What is the equation of the line shown?

2-2

2

y

x

-2 0

A. y = -x - 2

B. y = x - 2

C. y = x + 2

D. y = -x + 2

4. Ali makes a table to graph the equation y = !4x ! 5. What is the y-coordinate if x = !2?

A. !1 B. ! 3 } 4

C. ! 1 } 2 D. 1

5. Which of the following graphs represents the equation y = 3x + 4?

A.

2-2

2

4y

x

-2-4 0

B.

2-2

-4

2y

x

-2 0

C.

2 4-2

2

4y

x

-2 0

D.

2-2

-4

2y

x

-2 0

Standard EA-5.1Algebra 1Graph a Line Given the Equation of the Line

EA-5.1 Carry out a procedure to graph a line when given the equation of the line



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71Standard EA-5.1


6. Which is a graph of y = ! 1 } 2 x ! 3?

A.

2-2

2

y

x

-2 0

B.

2 4-2

-4

2y

x0

C.

2

2

4

y

-2 0x

D.

2-2

-4

2y

-2 0x

7. Which is a graph of !3x + y = !2?

A.

2-2

2

y

x

-2 0

B.

2-2

2

4y

x

-2 0

C.

2-2

2

y

x

-2 0

D.

2-2

2

4y

x

-2 0

8. Which is a graph of ! 3 } 2 x + y = !4?

A.

-2

-4

2y

x

-2-4 0

B.

2-2

2

4y

x

-2 0

C.

2 4-2

2

y

x

-2 0

D.

-2

2

4y

x

-2-6 -4 0

9. Which is a graph of 5x + 2y ! 8 = 0?

A.

2-2

2

4y

x

-2 0

B.

2-2

2

4y

x

-2 0

C.

2-2

-4

2y

-2 0x

D.

2 4-2

-4

2y

x

-2 0


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72Standards Review


1. What are the x- and y-intercepts of y = 4x + 2?

A. x-intercept: 0.5; y-intercept: 2

B. x-intercept: 2; y-intercept: 0.5

C. x-intercept: 4; y-intercept: 2

D. x-intercept: -0.5; y-intercept: 2

2. At which point does the line y = -3.5x + 10.5 intersects the axes?

A. (3, 0) and (0, 10.5)

B. (-3, 0) and (0, 10.5)

C. (-3.5, 0) and (0, -10.5)

D. (-3, 0) and (0, -10.5)

3. The graph of a straight line passes through the points (3, 4) and (-2, 14). What is the slope of this line?

A. -2 B. -1

C. 2 D. 5

4. The graph of a straight line passes through the points (-5, -5) and (5, -5). What is the slope of this line?

A. -2 B. -1

C. 0 D. 1

5. Given y = ax + b, which symbol represents the slope?

A. y B. a

C. b D. x

6. What is the slope of the line shown in the graph?

2-2

2

4

x

-2-4 0

y

A. 0.2

B. 0.4

C. 0.6

D. 0.8

7. What is the slope of the line that contains the point (3, 9) and (3, 4)?

A. 6 } 5

B. 6 } 13

C. zero

D. undefi ned

8. What is the slope of the linear function shown in the table?

x 1 3 6 8y 5 1 -5 -9

A. -2

B. 2

C. 4

D. 7

Standard EA-5.2Algebra 1Analyze How Changes in m or b Affect the Graph of y = mx + b

EA-5.2 Analyze the effects of changes in the slope, m, and the y-intercept, b, on the graph of y = mx + b.



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73Standard EA-5.2


9. What happens to the graph of y = 3x + 2 if the value of the y-intercept increases by 2 units?

A. The graph of the new line is perpendicular to the graph of the original line and contains point (0, 0).

B. The graph of the new line is parallel to the graph of the original line and contains point (0, 4).



10. What happens to the graph of y = 3x + 2 if the value of the slope increases by 2 units?

A. The graph of the new line is perpendicular to the graph of the original line and contains point (0, 0).

B. The graph of the new line is parallel to the graph of the original line and contains point (0, 4).



11. The graph of which equation below is parallel to the graph of y = x + 2 and intersects the y-axis at point (0, 4)?

A. y = x – 4

B. y = x – 2

C. y = x + 4

D. y = x + 2

12. Consider the graph of y = x + c, where c is a constant. How does decreasing the constant c by 3 units affect the graph?

A. The point at which the graph intersects the y-axis is 3 units above the point where the original graph intersects the y-axis.

B. The point at which the graph intersects the y-axis is 3 units below the point where the original graph intersects the y-axis.

C. Both graphs intersect the y-axis at the same point, but their slopes are different.

D. The change has no effect either on the point at which the graph intersects the y-axis or on the slope.

13. Compare the graph of y = 3x + 7 to the graph of y = 5x + 7. Which statement is true?

A. The graph of y = 5x + 7 intersects the y-axis 2 units above the point at which the graph of y = 3x + 7 intersects the y-axis.

B. Both graphs intersect the y-axis at (0, 7), but the graph of y = 3x + 7 is steeper.

C. Both graphs intersect the y-axis at (0, 7), but the graph of y = 5x + 7 is steeper.

D. The change has no effect either on the point at which the graph intersects the y-axis or on the slope.

14. How does changing the equation y = 3x + 2 to y = 3x – 2 affect its graph?

A. The point of intersection with the y-axis changes from (0, 2) to (0, –2), but the slope remains the same.

B. Both the point of intersection with the y-axis and the slope change.

C. The slope becomes less steep, but the point of intersection with the y-axis remains the same.

D. Neither the point of intersection with the y-axis nor the slope changes.


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74Standards Review


1. What does the equation y = 2x – 4 tell you about the y-intercept of its graph?

A. The value of the y-intercept is 2.

B. The value of the y-intercept is 2x.

C. The value of the y-intercept is – 4.

D. The value of the y-intercept is 4.

2. What does the equation y = 2x – 4 tell you about the slope of its graph?

A. The value of the slope is 2.

B. The value of the slope is 2x.

C. The value of the slope is – 4.

D. The value of the slope is 4.

3. The graph of a line has slope 3 } 4 and passes

through the point (5, 8). Which of the following points lies on the same line?

A. (2, 4) B. (1, 5)

C. (5, 1) D. (4, 2)

4. Which of the following graphs has a slope of –5 and a y-intercept of 4?

A.

2-2

2

4

x

-2 0

y B. y

2-2

2

4

x

-2 0

C.

2

2

4

x

-2 0

y D.

2

2

4

x

-2 0

y

5. Which of the following graphs has a slope of 3 and a y-intercept of –2?

A. y

2-2

2

x

-2 0

B.

2-2

-4

2

x

-2 0

y

C.

2-2

2

x

-2 0

y D.

2-2

2

4

x

-2 0

y

Standard EA-5.3Algebra 1Graph a Line Given its Slope and y-intercept

EA-5.3 Carry out a procedure to graph the line with a given slope and a y-intercept



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75Standard EA-5.3


6. Which of the following graphs represents the

equation y = 3 } 2 x + 2?

A.

-2 2-2

2

4

x0

y B.

2-2

2

4

x

-2 0

y

C.

2-2

2

x

-2 0

y D.

2-2

2

4

x

-2 0

y

7. Which of the following graphs represents the equation y = – 5 }

2 x + 3?

A.

2

2

4

x

-2 0

y B.

2

2

4

x

-2 0

y

C.

2-2

2

4

x

-2 0

y D. y

2-2

2

4

x

-2 0

8. Which of the following graphs represents the equation y – 4x = – 5?

A.

2-2

2

y

x

-2 0

B.

2

2

4

y

x

-2 0

C.

2-2

2

4y

x

-2 0

D.

2-2

2

y

x

-2 0

9. Which of the following graphs represents the equation y = –2x – 1.5?

A.

2-2

2

y

x

-2 0

B.

2-2

2

y

x

-2 0

C.

2-2

2

4y

x

-2 0

D.

2-2

2

y

x

-2 0


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76Standards Review


1. Which of the following graphs represents an equation having a slope of 4 and passing through point (–1, –3 )?

A.

2-2

2

y

x

-2 0

B.

2-2

2

y

x

-2 0

C.

2-2

2

y

x

-2 0

D.

2-2

2

y

x

-2 0

2. Which of the following graphs represents an equation having a slope of –3 and passing through point (–3, 4)?

A.

2-2

2

4y

x

-2 0

B.

2-2

2

4y

x

-2 0

C.

2-2

2

y

x

-2 0

D.

2-2

2

4y

x

-2 0

3. Which of the following graphs represents an equation having a slope of 1 } 2 and passing through point (–4, 1)?

A.

-2

2

4y

x

-2-4 0

B.

-2

2

4y

x

-2-4 0

C.

2-2

2

4y

x

-2 0

D.

2-2

-4

2y

x

-2-4 0

4. Which of the following graphs represents an equation having a slope of –4 and passing through point (0, –4.5)?

A.

2-2

-4

yx

-2 0

B.

2-2

-4

yx

-2 0

C.

2-2

-4

yx

-2 0

D.

2-2

-4

yx

-2 0

Standard EA-5.4Algebra 1Graph a Line Given its Slope and a Point on the Line

EA-5.4 Carry out a procedure to graph the line with a given slope passing through a given point.



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77Standard EA-5.4


5. Which of the following graphs represents the equation of a line that is parallel to y = 2x – 5 and passes through point (–2, 1)?

A.

2-2

2

4y

x

-2-4 0

B.

2-2

2

4y

x

-2-4 0

C.

2-2

2

4y

x

-2-4 0

D.

2-2

2

4y

x

-2-4 0

6. Which of the following graphs represents the equation of a line that is parallel to y = –x + 4 and passes through point (2, –3)?

A.

2-2

2

y

x

-2 0

B.

2-2

2

y

x

-2 0

C.

2-2

-4

2y

x

-2 0

D.

2-2

2

y

x

-2 0

7. Which of the following graphs represents the equation of a line that is parallel to y = –3x – 1 and passes through point (4, –3)?

A.

2 4-2

2

y

x0

B.

2 4-2

2

y

x0

C.

2 4-2

2

4y

x0

D.

2 4-2

2

y

x0

8. Which of the following graphs represents the equation of a line that is perpendicular to y = –3x – 5 and passes through point (4, 3)?

A.

2 4-2

2

y

x

-2 0

B.

2 4-2

2

y

x

-2 0

C.

2 4-2

2

y

x

-2 0

D.

2 4-2

2

y

x

-2 0


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78Standards Review


1. The table of values below lists points on a line. What is the y-intercept?

x –2 –1 0 1 2

y 6 4 2 0 –2

A. –2 B. 0

C. 1 D. 2

2. The table of values below lists points on a line. Which statement is true?

x –2 –1 0 1 2

y 6 4 2 0 –2

A. The x-intercept = 2 and the y-intercept = –2.

B. The x-intercept = 2 and the y-intercept = 1.

C. The x-intercept = 1 and the y-intercept = 2.

D. none of these

3. Each table of values below lists points on a line. Which table lists values of x and y for a line that has a y-intercept of 2 and an x-intercept of –2?

A.

x –3 –2 –1 0 1y –2 –1 0 1 2

B.

x –3 –2 –1 0 1

y 6 4 2 0 –2

C.

x –2 –1 0 1 2y –4 –3 –2 –1 0

D.

x –3 –2 –1 0 1

y –1 0 1 2 3

4. Each table of values below lists points on a line. Which table lists values of x and y for a line that has a y-intercept of 1 and an x-intercept of 1?

A.

x –3 –2 –1 0 1y 4 3 2 1 0

B.

x –1 0 1 2 3

y –3 0 3 6 9

C.

x –1 0 1 2 3y 3 2 1 0 –1

D.

x –1 0 1 2 3

y 4 3 2 1 0

5. Which of the following is an equation of a line having an x-intercept of 5 and a y-intercept of –2?

A. y = 5x – 2 B. y = 2 } 5 x – 2

C. y = 2x – 5 D. y = 5 } 2 x – 2

6. Which of the following is an equation of a line having an x-intercept of 4 and a y-intercept of –2?

A. y = 1 } 2 x – 2 B. y = 4x – 2

C. y = 2x – 4 D. y = 1 } 2 x – 4

Standard EA-5.5Algebra 1 Determine the x- and y-intercept of a Line

EA-5.5 Carry out a procedure to determine the x- and y-intercept of lines from data given tabularly, graphically, symbolically, and verbally.



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79Standard EA-5.5


7. What is the x-intercept of the graph of

y = 3 } 2 x + 3?

A. 3 B. 2

C. –2 D. –3

10. What is the x-intercept of the graph of y = x + 1?

A. –2 B. –1

C. 1 D. 2

For exercises 7–12, use the graph below to fi nd the x- and y-intercepts.

6 8 10 12 142 4

-6

-8

-10

-12

-14

-2

-4

6

2

8

10

12

14

4

x

-2-6-8-10-12-14 -4 0

y

8. What is the x-intercept of the graph of y = 4x – 12?

A. –12 B. 0

C. 3 D. 4

11. What is the y-intercept of the graph of 5x – 2y = 3?

A. – 5 } 2 B. – 3 }

2

C. 3 } 2 D. 5 } 2

9. What is the y-intercept of the graph of 4x + 3y = –8?

A. – 8 } 3 B. – 4 }

3

C. 8 } 3 D. 4 } 3

12. What is the y-intercept of the graph of 6x + 2y = 5?

A. – 5 } 2 B. –3

C. 3 D. 5 } 2


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80Standards Review



x –2 –1 0y –6 –4 –2

A. –5

B. –2

C. 2

D. 5


x –1 0 1y –5 –4 –3

A. 9

B. 1

C. –1

D. –9


x –3 0 2y –9 –3 1

A. –4

B. –2

C. 2

D. 4

4. What is the slope of the line graphed below?

62 4

-6

-2

-4

6

2

4

y

x

-2-6 -4 0

A. 3 } 4

B. 4 } 3

C. 3

D. 4

5. What is the slope of the line graphed below?

62 4

-6

-2

-4

6

2

4

y

x

-2-6 -4 0

A. – 1 } 2

B. 1 } 2

C. 2

D. 4

Standard EA-5.6Algebra 1 Determine the Slope of a Line

EA-5.6 Carry out a procedure to determine the slope of a line from data given tabularly, graphically, symbolically, and verbally.



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6. Which of the graphs below shows a line with

a slope of – 5 } 2 ?

A.

62 4

-6

-2

-4

6

2

4

y

x

-2-6 -4 0

B.

62 4

-6

-2

-4

6

2

4

y

x

-2-6 -4 0

C.

62 4

-6

-2

-4

6

2

4

y

x

-2-6 -4 0

D.

62 4

-6

-2

-4

6

2

4

y

x

-2-6 -4 0

7. What is the slope of the line with the equation 2x + 3y = 9?

A. – 2 } 3 B. – 3 } 2

C. 2 } 3 D. 3

8. What is the slope of the line with the equation 4x – 7y = –2?

A. 2 B. 4 } 7

C. – 2 } 7 D. – 4 }

7

9. What is the slope of the function (fx) = –2x + 3?

A. 3 B. – 2 } 3

C. – 3 } 2 D. –2

10. What is the slope of the function

(fx) = – 1 } 2 x + 1 } 2 ?

A. – 1 } 2 B. –1

C. 1 } 2 D. 1

11. The slope of a ramp describes the steep-ness of the ramp. If a wheelchair ramp rises 2 inches for every 2 feet of run, what is the slope of the ramp?

A. 1 } 12

B. 1

C. 2 D. none of these


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82Standards Review


Use the following situation to answer questions 1 – 3.

Carol drove from Santa Fe to Albuquerque. She drove at a constant rate of speed.

1. The relationship between the distance from Santa Fe to Albuquerque and the time it takes to make the trip is a linear relationship, d = mt. What does m represent?

A. number of miles traveled per hour

B. number of hours per miles

C. number of hours the trip takes

D. number of miles between Santa Fe and Albuquerque

2. It took Carol 2 hours longer to make the trip than it usually does. How does this affect the slope?

A. The rate increases.

B. The rate decreases.

C. The rate stays the same.

D. none of these

3. Based on the model, how much does the rate change because the trip took 2 hours longer?

A. The rate decreases by two.

B. The rate decreases by half.

C. The rate increases by two.

D. The rate increases by half.


David parks his car outside the city of Pleasantville and rents a bike to travel inside the city limits. The fee to park his car is $12. The bike rental is $5 an hour.

4. Which is the rate of change in this relationship?

A. $5 an hour B. $7 an hour

C. $12 a car D. $17 a car

5. Which equation represents this situation? Let c represent cost and h represent hours.

A. c = 17h + 3 B. c = 12h + 5

C. c = 5h + 12 D. c = 7h + 12

6. If the value of h increases by three, what is the effect on the value of c?

A. The value of c increases by one.

B. The value of c increases by three.

C. The value of c increases by six.

D. The value of c increases by fi fteen.

7. Mari designs and sells her own handbags. Her profi t is modeled by p = 250b – 500 where p is profi t and b is bags sold. If she sells 10 more bags today than she did yesterday, how does this affect her profi t?

A. Mari’s profi t increases by $10.

B. Mari’s profi t increases by $250.

C. Mari’s profi t increases by $2000.

D. Mari’s profi t increases by $2500.

Standard EA-5.7Algebra 1Apply the Concept of Slope to Solve Problems

EA-5.7 Apply the concept of slope as a rate of change to solve problems.

EA-1.1 Communicate a knowledge of algebraic relationships by using mathematical terminology appropriately.


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Jon rented a compact car at the rate of $52 a day and $0.18 a mile.

8. Jon rents the car for one day. What is the slope for this linear relationship?

A. type of car

B. cost per day

C. distance

D. cost per mile

9. Find the equation that represents the cost of a one-day rental. Let n represent the number of miles.

A. c = 0.18n + 52

B. c = 18n + 52

C. c = 52n + 0.18

D. c = 52n + 18

10. It’s about 1,000 miles from Paterson, NJ to Cedar Rapids, IA. What happens to the cost of the car rental if Jon makes the trip in 2 days instead of 1 day?

A. c would be halved.

B. c would double.

C. c would decrease by two.

D. c would increase by four.

11. Caroline can rent a car for a fl at rate of $125 a week and $0.15 a mile. Caroline wants to visit her cousins who live 1,500 miles away. What happens to the cost if she decides to make the trip in 6 days instead of 3 days?

A. The cost would increases by 3.

B. The cost would double.

C. The cost would stay the same.

D. The cost would be half.


Aaron is shooting a commercial. It costs $1500 for a 10-hour day to rent a studio and $200 fee to paint the cyclorama. He has to pay time and a half to rent the studio if the shoot takes more than 10 hours.

12. Which equation represents the daily cost to shoot the commercial if the schedule allows for 10-hour days only and includes the painting fee? Let c represent cost, d represents days, and h represent hours.

A. c = 10h + 200

B. c = 200h + 1500

C. c = 1500d + 200

D. c = 200d + 1500

13. Which equation represents a shoot that is scheduled for one day for as long as it takes to wrap it up and Includes the painting fee?

A. c = 150h + 1500

B. c = 150h + 1700

C. c = 1500d + 200

D. None of these

14. The fi rst day of the shoot took 10 hours. If the second day of the shoot took three more hours, how much does the cost of the second day’s shoot compare to the cost of the fi rst day’s shoot?

A. The cost of the shoot increases by $150.

B. The cost of the shoot increases by $225.

C. The cost of the shoot increases by $450.

D. The cost of the shoot increases by $675.


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84Standards Review


1. The equations y = x - 3 and y = x + 4 are graphed on the same set of axes. Which of the following statements is true?

A. The lines are parallel.

B. The lines are perpendicular.

C. The lines intersect on the x-axis.

D. The lines intersect on the y-axis.

2. Which of the following pairs of linear equations are parallel lines?

A. y = 3 } 4 x - 2

3x - 4y = -2

B. 2x - 5y = 3 5x - 2y = 4

C. 3x - y = 10 x + 3y = 10

D. 2x - 5y = 10 2x - 10y = 20

3. Which line is perpendicular to y = 1 } 2 x - 5 } 2 ?

A. y = - 1 } 2 x B. y = -2x

C. y = 2x + 1 D. y = 1 } 2 x + 2 } 5

4. Which of the following is an equation of a line that is perpendicular to the graph of the

equation y = 2 } 5 x - 7 } 5 ?

A. y = 5 } 2 x ! 5 } 7

B. y = ! 2 } 5 x + 7

C. y = ! 5 } 2 x ! 5

D. y = 5 } 2 x ! 7

5. What do the equations of two parallel lines have in common?

A. slope

B. x-intercept

C. y-intercept

D. constant term

6. Two lines are perpendicular. How are their slopes related?

A. The slopes are equal.

B. The slopes are opposites.

C. The slopes are reciprocals.

D. The slopes are negative reciprocals.

7. If a line L has an equation of y = -2x + 3, what is the equation of a line perpendicular to L and intersecting L at the y-axis?

A. y = 1 } 2 x + 3

B. y = 1 } 2 x + 3 } 2

C. y = - 1 } 2 x + 3

D. y = - 1 } 2 x + 3 } 2

8. Which line is perpendicular to y = 4 } 3 x + 1?

A. y = 5 } 4 x + 1

B. y = 3 } 4 x - 3

C. y = -3x + 4

D. y = - 3 } 4 x + 7

Standard EA-5.8Algebra 1Perpendicular and Parallel Lines

EA-5.8 Analyze the equations of two lines to determine whether the lines are perpendicular or parallel.



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9. Which of the following is an equation of a line that is parallel to the graph of the equation y = 4x - 3?

A. y = 2x - 3

B. y = 4x + 3

C. y = 8x - 5

D. y = -0.25x + 1

10. Which of the following is an equation of a line that is parallel to the graph of the equation y = -x + 2?

A. y = 4

B. y = x + 2

C. y = -x - 3

D. y = -2x + 1

11. What is the slope of any line that is perpendicular to the line shown in the graph?

42

-4

-2

4

2

y

x

-2-4 0

A. -3

B. - 1 } 3

C. 1 } 3

D. 3

12. Which of the following is an equation of a line that is parallel to the graph of the

equation y = - 2 } 3 x + 8?

A. y = 3 } 2 x + 8

B. y = 2 } 3 x + 2

C. y = ! 3 } 2 x + 1

D. y = ! 2 } 3 x - 2


equation y = 3 } 4 x - 3 } 4 ?

A. y = 3 } 4 x ! 1 } 8

B. y = ! 3 } 4 x + 1 } 2

C. y = 4 } 3 x ! 2 } 3

D. y = ! 4 } 3 x ! 2 } 3

14. Which of the following is an equation of a line that is parallel to the graph of the

equation y = 1 } 3 x + 7 } 9 ?

A. y = 1 } 3 x + 2

B. y = ! 1 } 3 x - 1 } 3

C. y = 3x + 7 } 9

D. y = ! 1 } 3 x - 5 } 9


equation y = 1 } 2 x - 4 } 5 ?

A. y = ! 1 } 2 x + 1 } 2

B. y = !2x + 5

C. y = 1 } 2 x ! 4 } 5

D. y = 2x ! 5

16. Mani drew a line with a slope of -3 on the

board. Aaron drew a line with a slope of 1 } 2 on the same coordinate axis. Which of the following statement is true?

A. The lines are parallel.

B. The lines are perpendicular.

C. The lines are neither parallel nor perpendicular.

D. The lines intersect the y-axis at the same point.


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86Standards Review


1. A computer repair shop charges $30 an hour plus a $25 fee to repair a computer. Which linear function represents the amount it costs to have a computer repaired?

A. f (h) = 30h

B. f (h) = 55h

C. f (h) = 25h + 30

D. f (h) = 30h + 25

2. Katy collects 15 stamps a day. She started off with 42 stamps. Choose the best function to represent the number of Katy’s stamps.

A. f (x) = 5x + 8

B. f (x) = 42x + 15

C. f (x) = 15x + 42

D. f (x) = 15x - 42

3. A computer consultant charges her client for her services based on an equation relating the total bill f (h) to the number of hours worked (h). The best interpretation of the function f (h) = 85h + 75 is:

A. She charges $75 per hour plus an $85 fl at fee.

B. She charges $85 per hour plus a $75 fl at fee.

C. She charges $150 per hour.

D. Her hourly charge varies from $75 to $85 depending on the job.

4. Gloria pays $850 a month for rent plus $35 a month for utilities. Which function represents the amount Gloria spends each month on rent and utilities?

A. f (m) = 35m + 850

B. f (m) = 35m + 35

C. f (m) = 35m ! 35

D. f (m) = 885m

5. Gaetano opened a savings account with $150. He plans to deposit $25 a week in his account. Which function represents his savings plan?

A. f (w) = 25w + 150

B. f (w) = 150w + 25

C. f (w) = 25w ! 150

D. f (w) = 25w

6. Brian earns $7.50 an hour working at the sports good store. This week he will receive a $20 bonus. Which function represents the amount of money Brian will make this week as a function of the number of hours he works?

A. f (h) = 7.50h ! 20

B. f (h) = 20h + 7.50

C. f (h) = 7.50h + 20

D. f (h) = 27.50h

Standard EA-5.9Algebra 1Write a Linear Function that Models a Situation

EA-5.9 Analyze given information to write a linear function that models a given problem situation.



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7. Cary earns $230 a day as a nurse in a large city hospital. She spends $35 a week for the train to commute to and from work. Which function represents her weekly income less commuting expenses?

A. f (d) = 230d +35

B. f (w) = 35w + 230

C. f (d) = 230d ! 35

D. f (w) = 230 ! 35w

8. Susan makes dolls to sell at the craft fair. She spends $250 on materials to make the dolls. Susan charges $15 for each doll. Which function represents her profi t as a function of the number of dolls she sells?

A. f (d) = 15d + 250

B. f (d) = 15d ! 250

C. f (d) = 250d + 15

D. f (d) = 250d ! 15

9. Cable costs $19 a month plus $75 installation charge. Which function represents the cost as a function of the number of months cable is in service?

A. f (m) = 19m + 75

B. f (m) = 19m ! 75

C. f (m) = 75m + 19

D. f (m) = 75m ! 19

10. Mrs. Miller bought apples and a half gallon of milk at the convenience store. Apples cost 49¢ a pound and a half gallon of milk costs $1.89. Which function represents how much money Mrs. Miller spent at the convenience store?

A. f (p) = 49p + 1.89

B. f (p) = 0.49p + 1.89

C. f (p) = 0.49p + 189

D. none of these

11. A telephone call costs 35¢ for the fi rst minute and 5¢ for each additional minute. Which function represents the cost of a telephone call where a represents each additional minute after the fi rst minute.

A. f (a) = 0.5a + 35

B. f (a) = 0.05a + 0.35

C. f (a) = 5a + 0.35

D. f (a) = 0.05a ! 0.35

12. David scores 500 points for each game he wins. He starts with a 250 point penalty. Which function represents the number of points David could score as a function of the number of games he plays?

A. f (g) = 250g ! 500

B. f (g) = 250g + 500

C. f (g) = 500g ! 250

D. f (g) = 500g + 250

13. Jon receives 2% commission on sales plus a $1,200 bonus. Which function represents Jon’s earnings as a function of his sales?

A. f (s) = (0.02)(1200) + s

B. f (s) = 2s + 1200

C. f (s) = 0.2s + 1200

D. f (s) = 0.02s + 1200

14. Theresa is a waitress. She earns $5 an hour plus tips. She averages $28 in tips everyday. Which function represents how much Theresa earns in a day?

A. f (h) = 5h + 28

B. f (t) = 28t + 5

C. f (d) = 7d = 28

D. f (h) = 5h ! 28


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88Standards Review


1. Lara has 75 magazines. She sells them for $3 each. This situation is modeled by y = 3x where y is the amount of money she makes and x is the number of magazines she sells. Which is the domain of this function in the context of the problem.

A. Domain: {-3, -2, -1, 0, 1, 2, 3}

B. Domain: {0, 1, 2, 3, . . ., 75}

C. Domain: {0, 6, 9, 12, . . ., 225}

D. Domain: all real numbers

2. The graph below represents the distance traveled by a car traveling at a constant speed of 50 miles per hour for fi ve hours. Which is the range of this function in the context of the problem?

200

250

100

50

150

21 3 540h

m

Mile

s

Hours

A. Range: 0 ! x ! 5

B. Range: 0 ! y ! 250

C. Range: 0 ! x ! 250

D. Range: {0, 50, 100, 150, 200, 250}

3. As a diver descends into the water, the water pressure increases 0.445 pounds per square inch (psi) every foot below the water’s surface. The total pressure a diver feels includes an additional 14.7 psi caused by the weight of the air. Which is the domain of this function for a dive that starts at the surface and goes to 25 feet below the water?

A. Domain: -25 ! x ! 0

B. Domain: -11.25 ! x ! 0

C. Domain: 25 ! x ! 0

D. Domain: 25.825 ! x ! 0

4. One winter the temperature in Cold Springs dropped an average of 8°F every day for a week beginning on a Sunday when the temperature was 32°F. Which is the domain of this function in the context of this situation?

A. Domain: -56 ! x ! 0

B. Domain: -24 ! x ! 32

C. Domain: 0 ! x ! 32

D. Domain: 8 ! x ! 32

5. Colleen likes to shop in Mimi’s Closet. Shirts are on sale this week for $19. Colleen has $100 to spend on shirts. f(c) = 19s is the function that models this situation. Which is the domain of the function in the context of the problem?

A. Domain: 0 ! s ! 5

B. Domain: 19 ! s ! 100

C. Domain: {0, 1, 2, 3, 4, 5}

D. Domain: {0, 19, 38, 57, 76, 95}

Standard EA-5.10Algebra 1Determine the Domain and Range of a Linear Function in a Problem Situation.

EA-5.10 Analyze given information to determine the domain and range of a linear function in a problem situation.



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6. Wes buys 5 pounds of dog biscuits every

week. Each biscuit weighs 1 } 8 pound. The number of pounds of dog biscuits Wes gives his dog each week is a function of the number of biscuits he gives the dog,

f(b) = 1 } 8 b. Which is the range of the function in the context of the problem?

A. Range: 0 ! b ! 5

B. Range: {0, 1 } 8 , 1 } 4 , 3 } 8 , 1 } 2 , . . . , 5}

C. Range: {0, 1, 2, 3, . . . , 40}

D. Range: none of these

7. Maggie lives 3 } 4 of a mile from school. She enjoys walking to school each day. The number of miles Maggie walks in a week is a function of the number of times she walks to school and then from school. Which is the domain of this function in the context of the situation?

A. Domain: {0, 3 } 4 , 1 1 } 2 , 2 1 } 4 , 3, 3 1 } 4 }

B. Domain: {0, 1 1 } 2 , 3, 4 1 } 2 , 6, 7 1 } 2 }

C. Domain: {0, 1, 2, 3, 4, 5}

D. Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

8. Each student in the High School Drama club was asked to sell tickets for their school play. Tickets cost $8.50 a piece. The auditorium seats 350 people. Proceeds is a function of the number of tickets sold. For one performance, which is the domain of the function in the context of this situation?

A. Domain: {0, 8.50, 17, 25.50, . . . , 2975}

B. Domain: {0, 1, 2, 3, . . . , 350}

C. Domain: 0 ! t ! 350

D. Domain: 0 ! t ! 2975

9. Party Place sells favors at a discount. The price of the favors is a function, f(n), of the number of favors you buy. Each favor costs $0.15 each. Theresa has $6 to spend on party favors. Which is the range of the function in the context of this situation?

A. Range: {0, 0.15, 0.30, 0.45, . . . , 6}

B. Range: 0 ! f(n) ! 6

C. Range: {0, 1, 2, 3, 4, . . . , 40}

D. Range: 0.15 ! f(n) ! 6

10. It takes Bruce 20 minutes to bike 5 miles. Distance is a function of time. Which is a reasonable domain of the function in the context of this problem?

A. Domain: 0 ! t ! 20

B. Domain: 5 ! t ! 12

C. Domain: 5 ! t ! 20

D. Domain: 12 ! t ! 20

11. The graph below represents the height of a 12-inch candle as it burns at a constant rate. Which is the range of the function?

8

10

4

2

6

105 15 25 3020 35 40 5045 55 60 70 7565 80 85 900t

h

Hei

ght

(Inch

es)

Time (Minutes)

12

A. Range: 0 ! f(t) ! 12

B. Range: 0 ! f(t) ! 90

C. Range: {0, 3, 6, 9, 12}

D. Range: {0, 5, 10, 15, . . . , 90}


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90Standards Review


1. Two basketballs and one football cost $92. Four basketballs and 3 footballs cost $212. Which system of equations could be used to fi nd the costs of one basketball and of one football?

A. b + 2f = 92 4b + 3f = 212

B. 2b + f = 92 4b + 3f = 212

C. 2b + f = 92 3b + 4f = 212

D. b + 2f = 92 3b + 4f = 212

2. A farmer raises apples and peaches on 215 acres of land. He wants to plant 31 more acres in apples than peaches. Which system of equations will help determine how many acres of each he should plant?

A. a + p = 215 a + p = 31

B. a - p = 215 a + p = 31

C. a + p = 215 a - p = 31

D. a - p = 215 a - p = 31

3. Gina is buying clothes. She buys pants for $25 and shirts for $15. She buys 7 items and spends $135. Which system of equations could you use to determine how many shirts she bought?

A. 25p + 15s = 135 p + s = 7

B. 25p + 15s = 7 p + s = 135

C. 25p + s = 135 p + 15s = 7

D. 25p - 15s = 135 p + s = 7

4. Five footballs and 3 hockey sticks cost $69. The cost of 3 footballs and 6 hockey sticks is $96. Which system of equations could be used to fi nd the costs of one football and of one hockey stick?

A. 5f + 3h = 69 3f + 6h = 96

B. 3f + 6h = 69 5f + 3h = 96

C. 3f + 5h = 69 6f + 3h = 96

D. 6f + 3h = 69 3f + 5h = 96

Standard EA-5.11Algebra 1Write a System of Equations to Models a Problem Situation

EA-5.11 Analyze given information to write a system of linear equations that models a given problem situation.



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5. The perimeter of a rectangle is 54 in. The length is 3 in. more than the width. What is the length of the rectangle? Which system of equations represents this situation?

A. l + w = 54 l = w + 3

B. 2l + 2w = 54 l = w + 3

C. 2l + 2w = 54 w = l + 3

D. lw = 54 l = w + 3

6. Megan has $6,000 to invest. She earns $350 in interest by putting part of it in her savings account that pays 3% interest and the remainder in stocks that yield 8%. Which system of equations can be used to determine how much she invests at each rate.

A. x + y = 6000 0.03x + 0.08y = 350

B. x + y = 350 0.03x + 0.08y = 6000

C. 0.03x + y = 350 0.08x + y = 6000

D. 0.03x + y = 6000 x + 0.08y = 350

7. Karen bought apples and bananas. Apples cost $2 per pound and bananas cost $0.50 per pound. She bought a total of 15 pounds of fruit and spent $16.50. Which system of equations could you use to determine how many pounds of bananas she bought?

A. a + b = 16.50 2a + 0.50b = 15

B. a + 0.50b = 15 2a + b = 16.50

C. 2a + b = 15 a + 0.50b = 16.50

D. a + b = 15 2a + 0.50b = 16.50

8. The Football Boosters sold 1375 tickets and collected $10,875 in sales for an upcoming playoff game. The cost of an adult ticket was $10 and the cost of a student ticket was $5. Which system of equations represents this situation?

A. a + s = 10,875 10a + 5s = 1375

B. a + s = 1375 10a + 5s = 10,875

C. a + 5s = 1375 10a + s = 10,875

D. a + 5s = 10,875 10a + s = 1375

9. At a photo store, a standard 4 ! 6 in. print costs $0.20 and an enlarged 5 ! 7 in. print costs $1.10. Jenny purchases 28 photo prints and spends $8.30. Which system of equations could you use to determine how many of each size print she bought? Let x represent the 4 ! 6 in. print. Let y represent the 5 ! 7 in. print.

A. 0.20x + y = 28 x + 1.10y = 8.30

B. x + 1.10y = 28 0.20x + y = 8.30

C. x + y = 28 0.20x + 1.10y = 8.30

D. x + y = 8.30 0.20x + 1.10y = 28

10. Caroline has 12 coins in her pocket consisting of quarters and nickels. The value of the coins is $2. Which system of equations represents this situation?

A. q + n = 2 0.25q + 0.05n = 12.00

B. q + n = 12 0.25q + 0.05n = 2.00

C. q + 0.05n = 12 0.25q + n = 2

D. 0.25q + n = 2.00 q + 0.05n = 12.00


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92Standards Review


1. The maximum grade on a test is 85. The minimum grade is 60. If n represents a grade, which sentence best expresses this situation?

A. 85 = n = 60

B. 85 ! n ! 60

C. 60 " n ! 85

D. None of these

2. A recipe for bread calls for 450 g to 550 g of fl our. If f represents the amount of fl our to be put in the bread, which of the following inequalities is correct?

A. 450 < f < 550

B. 450 " f " 550

C. 450 > f > 550

D. 450 ! f ! 550

3. Hannah made 20 goodie bags for a party. Each bag contains 150 to 200 jelly beans. Which inequality gives the best possible limits on the total number t of jelly beans in all 20 goodie bags?

A. 150 " t " 200

B. 1500 " t " 2000

C. 3000 " t " 4000

D. 5000 " t " 10,000

4. Martin is going to make a rectangle with a 36-inch perimeter by bending a 36-inch long wire. The length of the rectangle must exceed 10 inches. Let w be the width of the rectangle. Which inequality expresses the possible values of w?

A. 0 < w < 8

B. 0 < w " 8

C. 0 < w < 16

D. 0 < w " 16

5. The feeding instructions on a bag of cat food recommend feeding 1.5 to 1.75 pounds of food weekly. Which of the following inequalities represent the possible pounds to feed a cat each week?

A. 1.5 " x " 1.75

B. 1.75 " x " 1.5

C. 1.5 < x < 1.75

D. None of these

6. A recipe for cake calls for 150 mL to 250 mL of water. If w represents the amount of water to be put in the cake, which of the following inequalities is correct?

A. 150 < w < 250

B. 150 " w " 250

C. 150 > w > 250

D. 150 ! w ! 250

Standard EA-5.12Algebra 1Write a Linear Inequality to Model a Problem Situation

EA-5.12 Analyze given information to write a linear inequality in one variable that models a given problem situation.



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93Standard EA-5.12


7. John took a test that had 50 questions worth two points each. He didn’t answer 5 of the questions, and he knows he answered 30 correctly for sure. Which inequality represents the range of his percentage grade on the test?

A. 60 < g < 90

B. 60 ! g ! 90

C. 30 < g < 45

D. 30 ! g ! 45

8. Mr. Noon sells newspapers at the train station every morning. He makes 25¢ for every newspaper he sells. Which inequality shows at most the number of newspapers Mr. Noone should order to earn at least $155 each morning?

A. 0.25n ! 155

B. 25n ! 155

C. 0.25n " 155

D. 25n " 155

9. Kelly’s class is collecting box tops. Kelly has collected 60 and plans to collect an additional 5 box tops each week. Which inequality could be used to fi nd the number of weeks it will take her to collect at least 120 box tops?

A. 5x + 60 " 120

B. 5x + 60 ! 120

C. 5x + 60 > 120

D. 5x + 60 < 120

10. Colton has $20. He wants to buy as many tickets for a raffl e as he can. Each ticket costs $0.75. Which inequality would you use to fi nd out how many tickets, n, Colton can buy?

A. 20 ! 0.75n

B. 20 ! 0.75 + n

C. 20 - n ! 0.75

D. 20 " 0.75n

11. Alexis earns $6.75 per hour babysitting. She needs at least $25 to go on a fi eld trip. Which inequality would you use to fi nd out how many hours, h, Alexis needs to babysit?

A. 6.75h > 25

B. 6.75h ! 25

C. 6.75h " 25

D. 6.75h < 25

12. Portia is in charge of buying sandwiches for the yearbook’s club meeting after school. She has $34, and sandwiches cost $4.25 each. Which inequality can be used to determine the greatest number of sandwiches she can buy?

A. 4.25x < 34

B. 4.25x ! 34

C. 4.25x > 34

D. 4.25x " 34

13. A salesperson earns a monthly salary of $1200 plus a 15% commission. Which inequality describes the amount of sales needed to earn at least $2000 each month?

A. 0.15x + 1200 ! 2000

B. 0.15x + 1200 " 2000

C. 15x + 1200 ! 2000

D. 15x + 1200 " 2000

14. An elevator has a maximum capacity of 2000 lbs. Together 5 passengers weigh 888 pounds. Which inequality best describes the additional weight the elevator can safely carry?

A. x < 2000

B. x + 888 " 2000

C. 888 + x ! 2000

D. x ! 888


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94Standards Review


1. Which symbol indicates the leading coeffi cient in an equation of the form y = ax2?

A. y B. a

C. x D. x2

2. Which is a graph of the equation y = x2?

A. B.

C. D.

3. Which is a graph of the equation y = –x2?

A. B.

C. D.

4. Which is a true statement about how the graphs of y = x2 and y = –x2 differ?

A. The graph of y = x2 opens downward, and the graph of y = –x2 opens upward.

B. The highest point on the graph of y = –x2 is (0, 0), and the lowest point on the graph of y = x2 is (0, 0).

C. The graph of y = x2 is symmetrical about the y-axis, while the graph of y = –x2 is symmetrical about the x-axis.

D. none of these

5. Which is a graph of the equation y = 4x2?

A. B.

C. D.

6. Which is a true statement about how the graphs of y = 4x2 and y = x2 differ?

A. The graph of y = 4x2 opens downward and the graph of y = x2 opens upward.

B. The lowest point on the graph of y = 4x2 is (0, 0), and the highest point on the graph of y = x2 is (0, 0).

C. The graph of y = 4x2 is symmetrical about the y-axis, while the graph of y = x2 is symmetrical about the x-axis.

D. The graph of y = x2 is wider than the graph of y = 4x2.

Standard EA-6.1Algebra 1Analyze How Changing the Leading Coeffi cient Affects the Graph of y = ax2

EA-6.1 Analyze the effects of changing the leading coeffi cient a on the graph of y = ax2



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95Standard EA-6.1


7. Which is a graph of the equation y = – 1 } 2 x2 ?

A.

B.

C.

D.

8. Which is a true statement about how the

graphs of y = 1 } 2 x2 and y = x2 differ?

A. The graph of y = x2 is wider than the

graph of y = 1 } 2 x2.

B. The graph of y = x2 is narrower than the

graph of y = 1 } 2 x2.

C. The graph of y = x2 contains the point

(0,0), but the graph of y = 1 } 2 x2 does not.

D. none of these

9. Which is a true statement about what happens to the graph of y = 4x2 if a changes to 6?

A. The graph becomes narrower.

B. The graph becomes wider.

C. The graph shifts up 2 units.

D. The graph shifts down 2 units.

10. Which is a true statement about what happens to the graph of y = 4x2 if a

changes to – 1 } 2 ?

A. The graph becomes narrower and opens downward.

B. The graph becomes wider and opens downward.

C. The graph becomes wider and opens upward.

D. The graph becomes narrower and opens upward.

11. How does changing the leading coeffi cient in an equation of the form y = ax2 affect its graph?

A. Increasing a makes the graph narrower, and decreasing a makes the graph wider.

B. Increasing a makes the graph wider, and decreasing a makes the graph narrower.

C. Increasing a changes the lowest point on the graph, but it does not affect how wide or narrow the graph is.

D. Increasing or decreasing a does not affect the graph.

12. How does changing the sign of the leading coeffi cient in an equation of the form y = ax2 affect its graph?

A. Changing the sign of the leading coeffi cient inverts the graph.

B. Changing the sign of the leading coeffi cient affects the width of the graph.

C. Changing the sign of the leading coeffi cient shifts the graph to the left or to the right.

D. Changing the sign of the leading coeffi cient does not affect the graph.


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96Standards Review


1. Which symbol indicates the constant in an equation of the form y = x2 + c?

A. y B. x

C. c D. x2

2. Which is a graph of the equation y = x2 + c where c = 1?

A. B.

C. D.

3. Which is a graph of the equation y = x2 + c where c = – 1?

A. B.

C. D.

4. Which is a graph of the equation y = –x2 + c where c = 1?

A. B.

C. D.

5. Which is a graph of the equation y = –x2 + c where c = –1?

A. B.

C. D.

6. Which is a true statement about how the graphs of y = x2 + 1 and y = x2 + 3 differ?

A. The graph of y = x2 + 3 shifts 2 units to the right of the graph of y = x2 + 1.

B. The graph of y = x2 + 3 shifts 2 units to the left of the graph of y = x2 + 1.

C. The lowest point on the graph of y = x2 + 1 is (0, 1), and the lowest point on the graph of y = x2 + 3 is (0, 3).

D. The highest point on the graph of y = x2 + 1 is (0, 1), and the highest point on the graph of y = x2 + 3 is (0, 3).

Standard EA-6.2Algebra 1Analyze How Changing the Constant c Affects the Graph of y = x2 + c

EA-6.2 Analyze the effects of changing the constant c on the graph of y = x2 + c



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97Standard EA-6.2


7. Which is a true statement about how the graphs of y = x2 + 3 and y = x2 – 3 differ?

A. The graph of y = x2 + 3 opens upward, and the graph of y = x2 – 3 opens downward.

B. The graph of y = x2 + 3 shifts 3 units to the right of the graph of y = x2 – 3.

C. The graph of y = x2 – 3 shifts 3 units down from the graph of y = x2 + 3.

D. The graph of y = x2 – 3 shifts 6 units down from the graph of y = x2 + 3.

8. Which is a true statement about how the graphs of y = –x2 + 3 and y = x2 + 3 differ?

A. The graph of y = –x2 + 3 opens downward, and the graph of y = x2 + 3 opens upward.

B. The graph of y = –x2 + 3 shifts 3 units down from the graph of y = x2 + 3.

C. The lowest point on the graph of y = x2 + 3 is (0, 3), and the lowest point on the graph of y = –x2 + 3 is (0, –3).

D. The highest point on the graph of y = x2 + 3 is (0, 3), and the highest point on the graph of y = –x2 + 3 is (0, –3).

9. How does changing the constant c in the equation y = x2 + c affect the graph?

A. It makes the graph wider or narrower.

B. It shifts the graph up or down.

C. It shifts the graph to the right or to the left.

D. none of these

10. Which graph shows the effect of increasing the constant in the equation y = x2 + 3?

A. B.

C. D.

11. How does decreasing the constant c by 3 units in the equation y = x2 + c affect the graph?

A. It shifts the graph 3 units down.

B. It shifts the graph 3 units up.

C. It shifts the graph 3 units to the right.

D. none of these

12. How does increasing the constant c by 3 units in the equation y = x2 + c affect the graph?

A. It shifts the graph 3 units down.

B. It shifts the graph 3 units up.

C. It shifts the graph 3 units to the right.

D. none of these

13. Which statement below best describes what the following graph shows?

A. It shows the effect of increasing or decreasing the constant in the equation y = x2 + c.

B. It shows the effect of changing the y-intercept of the graph of y = x2 + c.

C. It shows both of these.

D. It shows neither of these.


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98Standards Review



A. y = x2 – 3 B. y = 3x

C. y = –3x2 D. y = 3x2


A. y = x2 – 2 B. y = 2x2

C. y = –2x2 D. y = x2 + 2


A. y = x2 – 4 B. y = 4x2

C. y = –4x2 D. none of these


A. y = x2 – 3 B. y = 3x2

C. y = –3x2 D. y = x2 + 3

5. Which of the following statements is true about the equation of a quadratic function that opens downward?

A. The constant is always negative.

B. The leading coeffi cient always has a negative sign.

C. There must always be a constant.

D. none of these


A. y = (x – 3)(x + 1)

B. y = (x – 1)(x + 3)

C. y = (x – 1)(x – 3)

D. y = (x + 1)( x + 3)

Standard EA-6.3Algebra 1Determine the Equation of a Quadratic Function Given the Graph

EA-6.3 Analyze the graph of a quadratic function to determine its equation.

EA-1.7 Understand how to represent algebraic relationships by using tools such as handheld computing devices, spreadsheets, and computer algebra systems (CASs).


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99Standard EA-6.3



A. y = –3(x + 4)(x – 2)

B. y = –3(x + 2)(x – 4)

C. y = 3(x + 2)(x – 4)

D. y = 3(x – 2)(x + 4)


A. y = 2x2 – 3

B. y = –2x2 – 3

C. y = 2x2 + 3

D. y = –2x2 + 3

9. Which of the following statements is true about the equations of the two graphs shown below?

A. The y-intercept of the graph that opens downward is 7, and the y-intercept of the graph that opens upward is –4.

B. The minimum point of the graph that opens upward is (0, –4), so the equation of that graph could be 3x2 – 4.

C. The maximum point of the graph that opens downward is (0, 7), so the equa-tion of that graph could be –x2 + 7.

D. All these statements are true.


A. y = 3x2 – 4

B. y = –3x2 – 4

C. y = 3x2 + 4

D. y = –3x2 + 4


A. y = 2x2 – 5

B. y = –2x2 – 5

C. y = 2x2 + 5

D. y = –2x2 + 5

12. Which feature of the following graph indicates that its equation could be y = –4x2 – 2 rather than y = 4x2 – 2?

A. The graph intersects the y-axis at (0, –2).

B. The graph opens downward.

C. The graph does not intersect the x-axis.

D. none of these


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100Standards Review


1. Which equation has x = -4 as a solution?

A. x2 - 3x - 4 = 0

B. x2 + 6x + 8 = 0

C. x2 + x - 6 = 0

D. x2 - 4 = 0

2. What are the roots of the equation x2 + 3x - 10 = 0?

A. x = 5 and x = -2

B. x = 5 and x = 2

C. x = -5 and x = 2

D. x = -5 and x = -2

3. If (x + 3)(x - 4) = 0, which of the following is a possible value of x?

A. -4

B. -3

C. 0

D. 3

4. Which equation does not have x = 1 as a solution?

A. x2 - 1 = 0

B. x2 - x = 0

C. x2 - 4x + 3 = 0

D. x2 - x - 2 = 0

5. If (x - 2)(x - 6) = 0, which of the following is a possible value of x?

A. 6 B. 0

C. -2 D. -6

6. Solve by factoring:

y = x2 + 5x ! 24 when y = 0

A. x = !8 and x = 3

B. x = !3 and x = 8

C. x = !6 and x = 4

D. x = !4 and x = 6


0 = x2 ! 14x + 40

A. x = !5 and x = !8

B. x = !4 and x = !10

C. x = 4 and x = 10

D. x = 5 and x = 8

8. Which are the solutions of y = 3x2 ! 21x + 30 when y = 0?

A. x = !2 and x = !5

B. x = 2 and x = !5

C. x = !2 and x = 5

D. x = 2 and x = 5


y = 5x2 ! 5x ! 60 when y = 0

A. x = !5 and x = !12

B. x = !3 and x = 4

C. x = !2 and x = 6

D. x = 3 and x = !4

Standard EA-6.4Algebra 1Solve Quadratic Equations by Factoring

EA-6.4 Carry out a procedure to solve quadratic equations by factoring.



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101Standard EA-6.4


10. Which are the solutions to 12x2 ! 2x + 2 = 4?

A. x = !1 and x = 2

B. x = ! 1 } 3 and x = 1 } 2

C. x = 1 } 3 and x = ! 1 } 2

D. x = 1 and x = !2

11. Solve by factoring 2x2 ! 7x + 3 = 7

A. x = !3 and x = !1

B. x = !1 and x = 4

C. x = ! 1 } 2 and x = 4

D. x = 1 } 2 and x = !4

12. Choose the standard form of 2x2 + 13x + 2 = 9.

A. 0 = 2x2 + 13x ! 7

B. 0 = 2x2 + 13x + 11

C. 0 = x2 + 13x ! 7

D. 0 = (2x ! 1)(x + 7)

13. Solve by factoring: 0 = 5x2 ! 45

A. x = !3 and x = !3

B. x = !5 and x = 9

C. x = !3 and x = 3

D. x = 5 and x = !9

14. Which are the solutions to y = 25x2 ! 16 when y = 0?

A. x = ± 5

B. x = ± 4

C. x = ± 5 } 4

D. x = ± 4 } 5

15. Solve: 36 = 9 x2

A. x = ± 6

B. x = ± 3

C. x = ± 2

D. x = ± 1 } 2

16. Which are the factors of y = x2 ! 5x when y = !4?

A. (x ! 1)(x ! 4)

B. (x + 1)(x ! 4)

C. (x ! 1)(x + 4)

D. (x + 1)(x + 4)

17. Solve by factoring: y = x2 + 7x when y = !6

A. x = !6 and x = !1

B. x = !6 and x = 1

C. x = !3 and x = !2

D. x = 3 and x = 2

18. Which are the solutions to y = x2 ! 6x when y = !5?

A. x = !5 and x = !1

B. x = !3 and x = !2

C. x = 3 and x = 2

D. x = 5 and x = 1

19. Which are the solutions to !14 = x2 ! 9x?

A. x = !2 and x = !7

B. x = !2 and x = 7

C. x = 2 and x = !7

D. x = 2 and x = 7

20. Solve !48 = x2 ! 14x by factoring.

A. x = !6 and x = !8

B. x = !6 and x = 8

C. x = 6 and x = !8

D. x = 6 and x = 8


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102Standards Review


1. The graph of y = x2 ! 4x + 3 is given below.

Which are the solutions of 0 = x2 ! 4x + 3?

A. x = 0 and y = 3

B. x = 1 and x = 3

C. x = 2 and y = !1

D. none of these

2. The graph of y = x2 + 2x ! 3 is given below.

Which are the solutions of 0 = x2 + 2x ! 3?

A. x = !3 and x = 1

B. x = !1 and y = !4

C. x = 0 and y = !3

D. x = 3 and x = !1

3. Below is the graph of the equation y = !x2 ! 6x ! 5.

Which are the solutions of 0 = !x2 ! 6x ! 5?

A. x = !6 and x = 0

B. x = !5 and x = !1

C. x = !4 and x = !2

D. x = !3 and y = 4

4. Below is the graph of the equation y = !x2 + 2x + 3.

Which are the solutions of 0 = y = !x2 + 2x + 3?

A. x = !1 and x = 3

B. x = 0 and x = 3

C. x = 1 and x = !3

D. x = 1 and y = 4

Standard EA-6.5Algebra 1Approximate the Solutions of Quadratic Equations by Graphing

EA-6.5 Carry out a graphic procedure to approximate the solutions of quadratic equations.

EA-1.7 Understand how to represents algebraic relationships by using tools such as handheld computing devices, spreadsheets, and computer algebra systems (CAS).


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103Standard EA-6.5


5. The graph of y = !x2 + 4x ! 4 is given below.

Which are the solution of 0 = !x2 + 4x ! 4?

A. x = 0 and x = !4 B. x = 2

C. x = 0 and x = 4 D. y = !4

6. The graph of y = x2 + 2x ! 4 is given below.

Estimate the solutions to 0 = x2 + 2x ! 4.

A. x " !3.2 and x " 1.2

B. x = !1 and y = !5

C. x = 0 and y = !4

D. none of these

7. The graph of y = x2 ! 2x ! 2 is given below.

Estimate the solutions to 0 = x2 ! 2x ! 2.

A. x = !2 and x = 4

B. x " !1.7 and x " 4.7

C. x " !0.7 and x " 2.7

D. x = 0 and x = !2

8. The graph of h = !16t2 + 30t + 1 is given.

1 2-10

-20

10

20 (1, 15)

t

-1-2 0

h

Estimate the solutions to 0 = !16t2 + 30t + 1.

A. t " 1 and t " 0

B. t " 1.9 and t " !0.03

C. t " !1.9 and t " !0.03

D. t " 1 and t " 25

9. Below is the graph of y = x2 ! 6x + 4.

Estimate the solutions to 0 = x2 ! 6x + 4.

A. x = 0 and x " 6

B. x " 0.8 and x " 5.2

C. x = 4 and x = !5

D. none of these

10. Below is the graph of y = 3x2 ! 9x ! 48.

Estimate the solutions to 0 = 3x2 ! 9x ! 48.

A. x " !2.8 and x " 5.8

B. x = 1.5 and y " !54.75

C. x " 2.8 and x " !5.8

D. x " 2.8 and x " 5.8


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104Standards Review


1. The area of rectangle with perimeter of 300 cm is modeled by the function A = 150l ! l2 where l is the length of the rectangle. Which is a reasonable domain for the context of this situation?

A. Domain: !300 " l " 300

B. Domain: 0 " l " 300

C. Domain: 0 < l < 150

D. Domain: 0 < l < 450

2. An object is projected upward with an initial velocity of 192 feet per second. The object’s distance above the ground, h, after t seconds is given by the function h = !16t2 + 192t. The path is shown by the graph below.

Hei

ght

Time4

100

t0

h

200

300

400

500

600

8 12

(6, 576)

Which is the domain of the function h = !16t2 + 192t in the context of the problem?

A. Domain: !12 " t " 12

B. Domain: 0 " t " 12

C. Domain: 0 " t " 576

D. Domain: 6 " t " 576

3. The temperature of a car’s radiator heats up as you drive. The function for the fi rst 5 minutes of driving is given by f(t) = 6.2t2 + 12t + 32. Which is the domain of f(t) = 6.2t2 + 12t + 32 in the context of this situation?

A. Domain: 0 " t " 32

B. Domain: 0 " t " 5

C. Domain: 1 " t " 5

D. Domain: 5 " t " 32

4. The function I = !p2 + 24p ! 44 is used by a theatre to determine its income from the sale of concert tickets. The graph of the function is shown below.

12 16 20

80

4 8-20

-40

20

40

(12, 100)

p

-4 0

i

60

100

24

Which is the domain of the function in the context of the problem?

A. Domain: !40 " p " 100

B. Domain: 0 " p " 24

C. Domain: 2 " p " 22

D. Domain: 12 " p " 100

Standard EA-6.6Algebra 1Determine the Domain of a Quadratic Function in a Problem Situation

EA-6.6 Analyze given information to determine the domain of a quadratic funtion in a problem situation.



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105Standard EA-6.6


5. A startup company uses the function p = 1.2n2 + 4n ! 8 to determine about how long it will take for the company to begin to break even. The variable n represents the number of years. The company expects to break even in about 1.4 years and plans to stay in business for 10 years. Which is a reasonable domain for this situation?

A. Domain: 0 " n " 1.4

B. Domain: 0 " n " 10

C. Domain: 1.4 " n " 8

D. Domain: 1.4 " n " 10

6. A ball is thrown upward with a speed of 32 feet per second from a height of 10 feet above the ground. The function h = !16t2 + 32t + 10 gives the height of the ball after t seconds. The graph of this function is given below.

1.5 2 2.5

40

0.5 1

10

20

(1, 26)

t0

h

30

3

Which is the domain of this function in the context of the problem?

A. Domain: !3 " n " 3

B. Domain: 0 " n " 2.25

C. Domain: 0 " n " 5

D. Domain: 0 " n " 26

7. The area of rectangle with perimeter of 800 cm is modeled by the function A = 400l ! l2 where l is the length of the rectangle. Which is a reasonable domain for the context of this situation?

A. Domain: !400 < l < 400

B. Domain: 0 < l < 400

C. Domain: 0 < l < 200

D. Domain: 0 < l < 1600

8. The following graph shows the height of a gymnast in the air.

6 820 4

6

8

2

4

Time (s)

Hei

ght

(ft)

Height of Gymnast

Which is the domain of the function in the context of the situation?

A. Domain: 0 " s " 4

B. Domain: 0 " s " 8

C. Domain: 0 " s " 10

D. none of these

9. Let a be the amount (in hundreds of dollars) a company spends on advertising, and P be the profi t, where P = !0.5a2 + 20a + 230. The graph of the function is shown below.

30 40 50

400

500

10-10 20

100

200

(20, 430)

a0

p

300

Which is a reasonable domain of the function P = !0.5a2 + 20a + 230 in the context of this problem?

A. Domain: !9.3 < a < 49.3

B. Domain: 0 < a < 49.3

C. Domain: 20 < a < 430

D. Domain: !10 " a " 50


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106Standards Review

South CarolinaPractice TestAlgebra I

Practice Test

1. Both x and y are irrational numbers. What kind of number can xy be?

A. an integer

B. a rational number

C. an irrational number

D. all of the above

2. The number n has the form 3x5y where x and

y are positive integers. You are given that 90 } n

is an integer. What is the greatest possible

value of n?

A. 15 B. 30

C. 45 D. 90

3. A gigabyte is a measure of a computer’s storage capacity. One gigabyte holds about 1.0 ! 109 bytes of information. If a company’s computer network contains 3200 gigabytes of memory, how many bytes are in the network?

A. 3.2 ! 1010 B. 3.2 ! 1011

C. 3.2 ! 1012 D. 3.2 ! 1013

4. A rectangular family room has an area of 42,496 square inches. Which of the following expressions can you use to convert 42,496 square inches to its equivalent in square yards?

A. 42,496 in.2 ! 1 ft2 }

144 in.2 !

1 yd2

} 9 ft2

= ? yd2

B. 42,496 in.2 ! 1 ft2 }

144 in.2 ! 9 ft2

} 1 yd2

= ? yd2

C. 42,496 in.2 ! 144 in.2 }

1 ft2 !

1 yd2

} 9 ft2

= ? yd2

D. 42,496 in.2 ! 144 in.2 }

1 ft2 ! 9 ft2

} 1 yd2

= ? yd2

SC_Alg1_PT.indd 106SC_Alg1_PT.indd 106 7/14/09 12:58:23 AM7/14/09 12:58:23 AM

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107Practice Test


5. Jason and Rosa are bringing boxes of books to sell at the library used book sale. Jason brings a boxes of 24 books each. Rosa brings b boxes of 24 books each. Which expression could be used to represent the total number of books?

A. a + (24b)

B. (ab) + 24

C. a(b + 24)

D. 24(a + b)

6. What is the value of 3yx + 2x when x = 4 and y = -2?

A. -28 B. -16

C. 8 D. 56

7. A rectangle is (2x + 5) long and (x2 - 3x + 1) wide. What is its area?

A. 2x3 - x2 - 13x + 5

B. 2x3 - x2 + 17x + 5

C. 2x3 - 11x2 - 13x + 5

D. 2x3 - 11x2 - 15x + 5

8. Factor 4x2 - 36 completely.

A. 4(x2 - 9)

B. (x - 6)(x + 6)

C. 4(x - 3)(x + 3)

D. 4(x - 6)(x + 6)


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108Standards Review


9. Add [4 5] + [1 3]

A. [9 4] B. [5 8]

C. [4 15] D. [19]

10. The table below shows the yield in pounds of three garden plots from the spring crop and the summer crop.

Season Plot 1 Plot 2 Plot 3Spring 2 1 2

Summer 1 2 3

Which matrix represents the data?

A. F 1 1 !1 !1 !1 !1 G B. F 3 3 3 3 5 5 G

C. F 2 1 1 2 2 3 G D. F 1 2 1 2 2 3 G


A. Square

Side 2 4 6 8

Area 4 16 36 64

B. Sales

Units 3 5 2 4

Dollars $9 $15 $6 $12

C. Mailing Price

Oz 1 2 1.5 2.5

Cents 44 88 88 132

D. Movie Times

Movie Shoot Them

Fly By

Sea Trip

Dig Deep

Time 6:15 7:30 6:45 8:00

12. Which function represents a doubling of a quantity?

A. f(x) = 2x B. f(x) = 2x + 3

C. f(x) = 3x D. f(x) = 3x + 3


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109Practice Test


13. Which is a graph of the function y = 1 } x ?

A.

B.

C.

D.

14. Evaluate g(2) given g(c) = 3c - 1.

A. 3 B. 5

C. 6 D. 7

15. Over which domain and range is the graph below a function?

A. Domain: All real numbersRange: All real numbers

B. Domain: All positive numbersRange: All real numbers

C. Domain: All real numbersRange: All integers

D. Domain: All rational numbersRange: All rational numbers

16. Which of the following functions, when graphed on a calculator, will produce the table of values shown below?

A. y = x2 B. y = Ï} x

C. y = U x U D. y = 1 } x


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110Standards Review


17. The scale on a road map indicates that 1 centimeter on the map represents 100 kilometers. If x represents the map distance and y represents the actual distance, which of the following best describes the relationship of x and y?

A. The relationship of x and y is one of direct variation.

B. The relationship of x and y is one of inverse variation.

C. The relationship of x and y is neither direct variation nor inverse variation.

D. The relationship of x and y with respect to direct and inverse variation cannot be determined.

18. Use the formula for the surface area of a rectangular prism: S = 2lw + 2wh + 2lh Solve for w.

A. w = 1 } 2 S + lh

} l + h

B. w = 1 } 2 S - lh

} l + h

C. w = 1 } 2 S - lh 1 l + h 2

D. w = 1 } 2 S + lh 1 l + h 2

19. A 22-foot tree casts a 7-foot shadow. Which equation can be used to fi nd the length of a person’s shadow if that person is 6 feet tall and standing next to the tree at the same time of day?

A. 6x = 154 B. 6x = 132

C. 7x = 132 D. 22x = 42

20. Which is the equation of the linear function with a slope of 2 and whose graph crosses the y-axis at !4?

A. y = !4x + 2 B. y = - 1 } 2 x - 4

C. y = 2x - 4 D. none of these


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111Practice Test


21. Which is the slope for the graph below?

2 4 6 8

4

2

x

-2 0

y

A. y = !2x + 4 B. y = - 1 } 2 x + 4

C. y = 1 } 2 x + 4 D. y = 2x + 4

22. Which linear equation represents the data in the table of values below?

x y-2 9

-1 7

0 5

1 3

2 1

A. y = !2x - 2 B. y = !2x + 5

C. y = ! 1 } 2 x + 5 D. y = ! 1 } 2 x + 8

23. Which is the slope of the trend line for the scatterplot shown below?

6 820 4

14

16

18

20

22

10

12

x

y

A. 2 B. 1 } 2

C. - 1 } 2 D. -2

24. Which of the following points fi ts the pattern on the scatter plot?

10

6

4

2

8

y

2

x

-2

-2

0

A. (1, 4) B. (1, 3)

C. (2, 2) D. (2, 4)


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112Standards Review


25. Which of the following equations is the point-slope form of the equation 3x - 2y = 8?

A. y = 3 } 2 x - 4

B. -2y = -3x + 8

C. y - (-1) = 3 } 2 (x-2)

D. y = 3 } 2 (x - 2) - 1

26. To solve the equation -63 = - x } -7 , which

operation is used to isolate the variable x?

A. add -63 to both sides

B. subtract -63 from both sides

C. multiply both sides by -7

D. divide both sides by -7

27. Which linear inequality is equivalent to x ! -12?

A. x " 1 } 12 B. -x ! 1 } 12

C. -x ! -12 D. -x " 12

28. Which graph represents the solution to the following system of equations?

y = 4x - 9

x + y = 6

A.

B.

C.

D.


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113Practice Test


29. A salesperson drives to a convention from her home at 55 miles per hour for x hours. On the return trip, she drives y hours at 50 miles per hour. The travel time for the entire round trip is 4 hours.

Which of the following best represents this situation?

A. x = y B. x = y 55x = 50y 55x + 50y = 4

C. x + y = 4 D. x + y = 4 55x + 50y = 4 55x = 50y

30. Which of the following tables of values can you use to help you graph y = 4x ! 3?

A. x -1 0 1

y -6 -3 0

B. x -1 0 1

y -7 -3 1

C. x -2 0 2

y -11 -3 4

D. x -2 0 2

y -11 -3 6

31. Which of the following graphs represents the equation y = -2.5x + 2?

A.

B.

C.

D.

32. What happens to the graph of y = 3x - 2 if the value of the y-intercept decreases by 2 units?

A. The point at which the new graph intersects the y-axis is 2 units above the point at which the graph of y = 3x - 2 intersects the y-axis.

B. The point at which the new graph intersects the y-axis is 2 units below the point at which the graph of y = 3x - 2 intersects the y-axis.

C. Both graphs intersect the y-axis at (0, -2), but the graph of the new equation is steeper.

D. Neither the slope nor the y-intercept is affected by the change.


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114Standards Review


33. Lilian graphs an equation that has a

y-intercept of -2 and a slope of 3 } 2 . Which of the following points will be on the line that Lilian graphs?

A. (2, 1) B. (-2, 1)

C. (2, -2) D. (-2, -2)

34. Nia is graphing a line that has a slope of 4 } 3 and contains the point (-2, -3). Which of the following points will be on the line that Nia graphs?

A. (-1, 0) B. (1, 1)

C. (-1, 2) D. (2, 0)

35. Each table of values below lists points on a line. Which table lists values of x and y for a line that has a y-intercept of -2 and an x-intercept of 2?

A. x -4 -2 0 2 4

y 4 3 2 1 0

B. x -4 -2 0 2 4

y 0 1 2 3 4

C. x -4 -2 0 2 4

y -6 -4 -2 0 2

D. x 3 2 1 0 -1

y -1 0 1 2 3


x -4 0 4y -7 -5 -3

A. ! 1 } 2 B. 0

C. 1 } 2 D. 1


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115Practice Test


37. It took Ted 1 hour longer to drive to his brother’s house than it usually does. How does this affect the slope?

A. The rate stays the same.

B. The rate increases.

C. The rate decreases.

D. The rate decreases by 1 hour.

38. Which of the following is an equation of a line that is perpendicular to the graph of the equation y = 5x + 1?

A. y = 5x B. y = x - 3

C. y = 3x + 1 D. y = -0.2x + 1

39. Joan makes beaded necklaces. She spends $9.25 on materials. She charges $15 for each necklace. Which function represents her profi t as a function of the number of necklaces sold?

A. f(n) = 15n ! 9.25

B. f(n) = 15n + 9.25

C. f(n) = 15n ! 9.25n

D. f(n) = 24.25n

40. Eileen rides a bike at a constant speed of 8 meters/second for 5 minutes. The graph below represents the distance she traveled. Which is the domain of the function?

Dis

tanc

e (m

eter

s)

Time (seconds)50 100

400

s0

m

800

1200

1600

2000

2400

200 300150 250

A. Domain: 0 " s " 8

B. Domain: 0 " s " 40

C. Domain: 0 " s " 300

D. Domain: 0 " s " 2400


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116Standards Review


41. The perimeter of a rectangle is 40 feet and the length is 4 feet greater than the width. Which system of equations represents this situation?

A. l + w = 40 B. 2l + 2w = 40 l = w + 4 w = l + 4

C. 2l + 2w = 40 D. none of these l = w + 4

42. Theresa wants to make at least 120 cupcakes for a school celebration. She makes 36 cupcakes an hour. She made a dozen cupcakes yesterday. Which inequality models the problem situation?

A. 36c ! 12 " 120 B. 36c + 1 " 120

C. 36n + 12 # 30 D. 36c + 12 " 120

43. Which is a true statement about what happens to the graph of y = 3x2 if the leading coeffi cient changes to -1?

A. The graph becomes narrower and opens downward.

B. The graph becomes wider and opens downward.

C. The graph becomes wider and opens upward.

D. The graph becomes narrower and opens upward.


A. y = (x + 2)(x + 3)

B. y = (x - 2)(x - 3)

C. y = (x - 2)(x + 3)

D. y = (x + 2)(x - 3)


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117Practice Test


45. Which graph shows the effect of decreasing the constant in the equation y = x2 + 1?

A.

B.

C.

D.

46. Which are the solutions to y = 2x2 + 4x ! 30 when y = 0?

A. x = !5 and x = 3

B. x = 3 and x = !5

C. x = !2 and x = 15

D. x = 2 and x = !15

47. Solve 3 = 3x2 + 10x ! 5 by factoring.

A. x = !2 and x = 4

B. x = 2 and x = !4

C. x = ! 2 } 3 and x = 4

D. x = 2 } 3 and x = !4

48. Which are the solutions to 0 = !2x2 ! 2x ! 12?

A. x = !3 and x = !2

B. x = !3 and x = 2

C. x = 3 and x = !2

D. x = 3 and x = 2


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118Standards Review


49. The graph of y = !x2 + 4 is given below.

Which are the solutions of 0 = -x2 + 4?

A. x = ! 5 } 2 and 3 } 2

B. x = ! 5 } 2 and - 3 } 2

C. x = 5 } 2 and 3 } 2

D. none of these

50. The area of a rectangle with perimeter of 450 cm is modeled by the function A = 225l ! l2. Which is the reasonable domain in the context of this problem?

A. Domain: 0 < l < 225

B. Domain: 0 < l < 450

C. Domain: 1 < l < 225

D. Domain: 1 < l < 450


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119Answer Sheet


1. A B C D

2. A B C D

3. A B C D

4. A B C D

5. A B C D

6. A B C D

7. A B C D

8. A B C D

9. A B C D

10. A B C D

11. A B C D

12. A B C D

13. A B C D

14. A B C D

15. A B C D

16. A B C D

17. A B C D

18. A B C D

19. A B C D

20. A B C D

21. A B C D

22. A B C D

23. A B C D

24. A B C D

25. A B C D

26. A B C D

27. A B C D

28. A B C D

29. A B C D

30. A B C D

31. A B C D

32. A B C D

33. A B C D

34. A B C D

35. A B C D

36. A B C D

37. A B C D

38. A B C D

39. A B C D

40. A B C D

41. A B C D

42. A B C D

43. A B C D

44. A B C D

45. A B C D

46. A B C D

47. A B C D

48. A B C D

49. A B C D

50. A B C D

Diagnostic TestAnswer Sheet

SC_Alg1_AS.indd 119SC_Alg1_AS.indd 119 7/11/09 12:32:18 AM7/11/09 12:32:18 AM


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121Answer Sheet


1. A B C D

2. A B C D

3. A B C D

4. A B C D

5. A B C D

6. A B C D

7. A B C D

8. A B C D

9. A B C D

10. A B C D

11. A B C D

12. A B C D

13. A B C D

14. A B C D

15. A B C D

16. A B C D

17. A B C D

18. A B C D

19. A B C D

20. A B C D

21. A B C D

22. A B C D

23. A B C D

24. A B C D

25. A B C D

26. A B C D

27. A B C D

28. A B C D

29. A B C D

30. A B C D

31. A B C D

32. A B C D

33. A B C D

34. A B C D

35. A B C D

36. A B C D

37. A B C D

38. A B C D

39. A B C D

40. A B C D

41. A B C D

42. A B C D

43. A B C D

44. A B C D

45. A B C D

46. A B C D

47. A B C D

48. A B C D

49. A B C D

50. A B C D

Practice TestAnswer Sheet



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123Anwer Key


Diagnostic Test pp. 1–13

Item AnswerEA

StandardsTest

Blueprint

1 C 1.1, 2.1 IC

2 B 1.4, 2.2 IC

3 D 1.3, 2.3 ID

4 D 1.3, 2.4 ID

5 B 1.3, 2.5 ID

6 B 2.6 IC

7 D 2.7 ID

8 D 2.8 IIIA

9 A 2.9 IC

10 C 2.10 IC

11 B 3.1 IA

12 C 3.2 IIA

13 A 3.3 IIB

14 A 3.5, 1.5 IIIB

15 D 3.4 IIIB

16 B 3.5, 1.5 IIIB

17 B 3.6, 1.2 IIB

18 A 1.2, 3.7 ID

19 A 1.2, 3.8 IIC

20 C 1.5, 4.1 IIB

21 A 1.5, 4.2 IIB

22 C 1.5, 4.3 IIB

23 B 1.5, 4.4 IB

24 C 1.5, 4.5 IB

25 C 1.1, 4.6 IIC

Item AnswerEA

StandardsTest

Blueprint

26 C 4.7 IIC

27 C 4.8 IIC

28 B 4.9 IID

29 C 1.3, 4.10 IID

30 D 1.5, 5.1 IIA

31 A 1.5, 5.1 IIA

32 C 1.1, 5.2 IIB

33 D 1.1, 5.3 IB

34 A 1.1, 5.4 IB

35 C 1.5, 5.5 IIA

36 C 1.5, 5.6 IIA

37 B 1.1, 5.7 IA

38 C 1.5, 5.8 IIB

39 C 5.9 IIC

40 B 1.3,5.10 ID

41 B 1.3, 5.11 IID

42 A 1.5, 5.12 IIC

43 A 1.7, 6.1 IA

44 B 1.1, 6.3 IIIA

45 C 1.7, 6.2 IA

46 D 1.5, 6.4 IIIA

47 C 1.5, 6.4 IIIA

48 B 1.5, 6.4 IIIA

49 A 1.6, 6.5 IIIA

50 B 1.3, 6.6 ID

SC_Alg1_AK.indd 123SC_Alg1_AK.indd 123 7/13/09 7:58:38 PM7/13/09 7:58:38 PM

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124Standards Review

South CarolinaAnswer KeyAlgebra I

Standard Review EA-2.1 pp. 14–15

Item Answer EA Standards

1 C 2.1

2 C 2.1

3 A 2.1

4 D 2.1

5 A 2.1

6 B 2.1

7 D 2.1

8 C 2.1

9 C 2.1

10 D 2.1

11 A 2.1

12 A 2.1

13 D 2.1

14 B 2.1

15 A 2.1

16 B 2.1

17 D 2.1

18 D 2.1



1 D 2.2

2 D 2.2

3 A 2.2

4 D 2.2

5 D 2.2

6 A 2.2

7 D 2.2

8 C 2.2

9 A 2.2

10 B 2.2

11 D 2.2

12 A 2.2

13 D 2.2

14 B 2.2

15 B 2.2

16 A 2.2


17 B 2.2

18 C 2.2

19 A 2.2

20 C 2.2



1 B 2.3

2 C 2.3

3 C 2.3

4 D 2.3

5 B 2.3

6 D 2.3

7 B 2.3

8 C 2.3

9 D 2.3

10 A 2.3

11 C 2.3

12 D 2.3

13 C 2.3

14 A 2.3

15 C 2.3

16 A 2.3



1 A 2.4

2 C 2.4

3 B 2.4

4 C 2.4

5 D 2.4

6 B 2.4

7 C 2.4

8 A 2.4

9 D 2.4

10 C 2.4


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125Anwer Key


Standard Review EA-2.4 pp. 20–21 (continued)


11 B 2.4

12 C 2.4

13 A 2.4


Item Answer Standard

1 A 2.5

2 B 2.5

3 B 2.5

4 C 2.5

5 B 2.5

6 C 2.5

7 C 2.5

8 B 2.5

9 A 2.5

10 B 2.5

11 D 2.5

12 D 2.5

13 D 2.5

14 A 2.5

15 A 2.5

16 D 2.5

17 B 2.5

18 D 2.5



1 D 2.6

2 B 2.6

3 A 2.6

4 A 2.6

5 C 2.6

6 A 2.6

7 B 2.6

8 C 2.6

9 B 2.6


10 C 2.6

11 B 2.6

12 A 2.6

13 D 2.6

14 A 2.6

15 A 2.6

16 A 2.6

17 C 2.6

18 B 2.6



1 C 2.7

2 D 2.7

3 B 2.7

4 D 2.7

5 B 2.7

6 B 2.7

7 B 2.7

8 C 2.7

9 C 2.7

10 A 2.7

11 D 2.7

12 A 2.7

13 C 2.7

14 A 2.7

15 A 2.7

16 C 2.7

17 B 2.7

18 B 2.7



1 C 2.8

2 B 2.8

3 B 2.8


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4 A 2.8

5 C 2.8

6 B 2.8

7 A 2.8

8 A 2.8

9 C 2.8

10 B 2.8

11 C 2.8

12 B 2.8

13 C 2.8

14 C 2.8

15 B 2.8

16 A 2.8

17 D 2.8

18 C 2.8



1 C 2.9

2 D 2.9

3 C 2.9

4 D 2.9

5 B 2.9

6 B 2.9

7 A 2.9

8 D 2.9

9 A 2.9

10 D 2.9

11 B 2.9

12 A 2.9

13 B 2.9

14 C 2.9

15 B 2.9

16 D 2.9

17 D 2.9

18 C 2.9

19 D 2.9



1 B 2.10

2 D 2.10

3 C 2.10

4 D 2.10

5 A 2.10

6 B 2.10

7 A 2.10

8 A 2.10



1 D 3.1

2 D 3.1

3 B 3.1

4 C 3.1

5 D 3.1

6 B 3.1

7 C 3.1

8 B 3.1



1 A 3.2

2 A 3.2

3 B 3.2

4 C 3.2

5 D 3.2

6 D 3.2

7 A 3.2

8 A 3.2

9 C 3.2

10 B 3.2

11 A 3.2

12 B 3.2

13 C 3.2


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127Anwer Key




1 B 3.3

2 D 3.3

3 B 3.3

4 D 3.3

5 A 3.3

6 A 3.3

7 D 3.3

8 C 3.3

9 B 3.3

10 A 3.3

11 D 3.3

12 C 3.3

13 A 3.3

14 B 3.3

15 C 3.3

16 D 3.3

17 C 3.3

18 B 3.3

19 B 3.3

20 D 3.3

21 B 3.3

22 C 3.3

23 B 3.3

24 C 3.3



1 A 3.4

2 A 3.4

3 D 3.4

4 C 3.4

5 B 3.4

6 B 3.4

7 C 3.4

8 D 3.4

9 B 3.4



1 D 3.5

2 B 3.5

3 C 3.5

4 B 3.5

5 D 3.5

6 B 3.5

7 A 3.5

8 D 3.5

9 C 3.5

10 B 3.5

11 C 3.5

12 B 3.5

13 C 3.5



1 C 3.6

2 A 3.6

3 A 3.6

4 C 3.6

5 B 3.6

6 A 3.6

7 B 3.6

8 D 3.6

9 B 3.6

10 B 3.6

11 A 3.6

12 A 3.6



1 C 3.7

2 D 3.7

3 C 3.7

4 D 3.7

5 A 3.7

6 B 3.7


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7 C 3.7

8 C 3.7

9 A 3.7

10 D 3.7

11 B 3.7

12 B 3.7

13 D 3.7

14 A 3.7

15 A 3.7

16 B 3.7



1 C 3.8

2 D 3.8

3 B 3.8

4 B 3.8

5 B 3.8

6 D 3.8

7 D 3.8

8 D 3.8

9 D 3.8

10 C 3.8

11 A 3.8

12 C 3.8

13 D 3.8

14 A 3.8

15 B 3.8

16 D 3.8



1 B 4.1

2 A 4.1

3 C 4.1

4 B 4.1


5 D 4.1

6 A 4.1

7 B 4.1

8 D 4.1

9 A 4.1

10 A 4.1

11 D 4.1

12 B 4.1

13 B 4.1

14 C 4.1



1 C 4.2

2 A 4.2

3 B 4.2

4 D 4.2

5 A 4.2

6 A 4.2

7 D 4.2

8 C 4.2

9 B 4.2

10 C 4.2

11 D 4.2

12 B 4.2

13 C 4.2

14 D 4.2

15 B 4.2



1 C 4.3

2 A 4.3

3 D 4.3

4 B 4.3

5 D 4.3


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129Anwer Key




6 C 4.3

7 D 4.3

8 C 4.3

9 B 4.3

10 C 4.3

11 A 4.3

12 C 4.3

13 B 4.3

14 A 4.3



1 B 4.4

2 C 4.4

3 D 4.4

4 B 4.4

5 C 4.4

6 C 4.4

7 B 4.4

8 C 4.4

9 D 4.4

10 B 4.4

11 C 4.4

12 B 4.4



1 A 4.5

2 C 4.5

3 B 4.5

4 C 4.5

5 B 4.5

6 C 4.5

7 B 4.5

8 B 4.5

9 D 4.5


10 D 4.5

11 C 4.5

12 D 4.5

13 D 4.5



1 B 4.6

2 D 4.6

3 C 4.6

4 B 4.6

5 A 4.6

6 B 4.6

7 D 4.6

8 C 4.6

9 A 4.6

10 B 4.6

11 C 4.6

12 A 4.6

13 A 4.6

14 B 4.6

15 D 4.6

16 B 4.6

17 D 4.6

18 B 4.6

19 D 4.6

20 C 4.6



1 D 4.7

2 B 4.7

3 B 4.7

4 D 4.7

5 A 4.7

6 A 4.7


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7 C 4.7

8 D 4.7

9 D 4.7

10 C 4.7

11 B 4.7

12 B 4.7

13 A 4.7

14 B 4.7

15 A 4.7

16 C 4.7

17 A 4.7

18 D 4.7

19 C 4.7

20 C 4.7



1 A 4.8

2 D 4.8

3 D 4.8

4 C 4.8

5 C 4.8

6 B 4.8

7 B 4.8

8 A 4.8

9 D 4.8

10 A 4.8

11 C 4.8

12 B 4.8

13 A 4.8

14 C 4.8

15 D 4.8



1 C 4.9

2 B 4.9

3 C 4.9

4 C 4.9

5 D 4.9

6 A 4.9

7 A 4.9

8 B 4.9

9 A 4.9

10 D 4.9

11 D 4.9

12 C 4.9

13 B 4.9

14 C 4.9



1 B 4.10

2 B 4.10

3 A 4.10

4 D 4.10

5 D 4.10

6 D 4.10

7 B 4.10

8 C 4.10

9 B 4.10

10 B 4.10

11 A 4.10

12 B 4.10

13 D 4.10

14 C 4.10

15 C 4.10

16 D 4.10

17 B 4.10

18 D 4.10

19 D 4.10

20 B 4.10


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131Anwer Key




1 B 5.1

2 D 5.1

3 C 5.1

4 B 5.1

5 A 5.1

6 D 5.1

7 B 5.1

8 C 5.1

9 B 5.1



1 D 5.2

2 A 5.2

3 A 5.2

4 C 5.2

5 B 5.2

6 B 5.2

7 D 5.2

8 A 5.2

9 B 5.2

10 C 5.2

11 C 5.2

12 B 5.2

13 C 5.2

14 A 5.2



1 C 5.3

2 A 5.3

3 B 5.3

4 D 5.3

5 D 5.3

6 D 5.3

7 C 5.3


8 A 5.3

9 B 5.3


Item Answer Standard

1 B 5.4

2 D 5.4

3 C 5.4

4 C 5.4

5 D 5.4

6 B 5.4

7 C 5.4

8 A 5.4



1 D 5.5

2 C 5.5

3 D 5.5

4 C 5.5

5 B 5.5

6 A 5.5

7 C 5.5

8 C 5.5

9 A 5.5

10 B 5.5

11 B 5.5

12 D 5.5



1 C 5.6

2 B 5.6

3 C 5.6

4 B 5.6

5 A 5.6


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6 C 5.6

7 A 5.6

8 B 5.6

9 D 5.6

10 A 5.6

11 A 5.6



1 A 5.7

2 B 5.7

3 B 5.7

4 A 5.7

5 C 5.7

6 D 5.7

7 D 5.7

8 D 5.7

9 A 5.7

10 D 5.7

11 C 5.7

12 C 5.7

13 D 5.7

14 D 5.7



1 A 5.8

2 A 5.8

3 B 5.8

4 C 5.8

5 A 5.8

6 D 5.8

7 A 5.8

8 D 5.8

9 B 5.8

10 C 5.8


11 C 5.8

12 D 5.8

13 D 5.8

14 A 5.8

15 B 5.8

16 C 5.8



1 D 5.9

2 C 5.9

3 B 5.9

4 D 5.9

5 A 5.9

6 C 5.9

7 C 5.9

8 B 5.9

9 A 5.9

10 B 5.9

11 B 5.9

12 C 5.9

13 D 5.9

14 A 5.9



1 B 5.10

2 B 5.10

3 A 5.10

4 B 5.10

5 C 5.10

6 B 5.10

7 D 5.10

8 B 5.10

9 A 5.10

10 A 5.10

11 A 5.10


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1 B 5.11

2 C 5.11

3 A 5.11

4 A 5.11

5 B 5.11

6 A 5.11

7 D 5.11

8 B 5.11

9 C 5.11

10 B 5.11



1 B 5.12

2 B 5.12

3 C 5.12

4 A 5.12

5 A 5.12

6 B 5.12

7 B 5.12

8 C 5.12

9 A 5.12

10 D 5.12

11 C 5.12

12 B 5.12

13 B 5.12

14 C 5.12



1 B 6.1

2 A 6.1

3 B 6.1

4 B 6.1

5 D 6.1

6 D 6.1

7 B 6.1


8 B 6.1

9 A 6.1

10 B 6.1

11 A 6.1

12 A 6.1



1 C 6.2

2 D 6.2

3 C 6.2

4 C 6.2

5 D 6.2

6 C 6.2

7 D 6.2

8 A 6.2

9 B 6.2

10 B 6.2

11 A 6.2

12 B 6.2

13 C 6.2



1 D 6.3

2 A 6.3

3 D 6.3

4 C 6.3

5 B 6.3

6 B 6.3

7 D 6.3

8 A 6.3

9 D 6.3

10 B 6.3

11 C 6.3

12 B 6.3


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134Standards Review




1 B 6.4

2 C 6.4

3 B 6.4

4 D 6.4

5 A 6.4

6 A 6.4

7 C 6.4

8 D 6.4

9 B 6.4

10 B 6.4

11 C 6.4

12 A 6.4

13 C 6.4

14 D 6.4

15 C 6.4

16 A 6.4

17 A 6.4

18 D 6.4

19 D 6.4

20 D 6.4



1 B 6.5

2 A 6.5

3 B 6.5

4 A 6.5

5 B 6.5

6 A 6.5

7 C 6.5

8 B 6.5

9 B 6.5

10 A 6.5



1 C 6.6

2 B 6.6

3 B 6.6

4 C 6.6

5 B 6.6

6 B 6.6

7 B 6.6

8 A 6.6

9 A 6.6


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Practice Test pp. 106–118

Item AnswerEA

StandardsTest

Blueprint

1 D 1.1, 2.1 IC

2 C 1.4, 2.2 IC

3 C 1.3, 2.3 ID

4 A 1.3, 2.4 ID

5 D 1.3, 2.5 ID

6 B 2.6 IC

7 A 2.7 ID

8 C 2.8 IIIA

9 B 2.9 IC

10 C 2.10 IC

11 D 3.1 IA

12 A 3.2 IIA

13 B 3.3 IIB

14 B 3.5, 1.5 IIIB

15 A 3.4 IIIB

16 D 3.5, 1.5 IIIB

17 A 3.6, 1.2 IIB

18 B 1.2, 3.7 ID

19 D 1.2, 3.8 IIC

20 C 1.5, 4.1 IIB

21 B 1.5, 4.2 IIB

22 B 1.5, 4.3 IIB

23 A 1.5, 4.4 IB

24 D 1.5, 4.5 IB

25 C 1.1, 4.6 IIC

Item AnswerEA

StandardsTest

Blueprint

26 C 4.7 IIC

27 D 4.8 IIC

28 A 4.9 IID

29 D 1.3, 4.10 IID

30 B 1.5, 5.1 IIA

31 C 1.5, 5.1 IIA

32 B 1.1, 5.2 IIB

33 A 1.1, 5.3 IB

34 B 1.1, 5.4 IB

35 C 1.5, 5.5 IIA

36 C 1.5, 5.6 IIA

37 C 1.1, 5.7 IA

38 D 1.5, 5.8 IIB

39 A 5.9 IIC

40 C 1.3,5.10 ID

41 C 1.3, 5.11 IID

42 D 1.5, 5.12 IIC

43 B 1.7, 6.1 IA

44 D 1.1, 6.3 IIIA

45 C 1.7, 6.2 IA

46 B 1.5, 6.4 IIIA

47 D 1.5, 6.4 IIIA

48 C 1.5, 6.4 IIIA

49 A 1.6, 6.5 IIIA

50 A 1.3, 6.6 ID


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South Carolina Algebra I End-of-Course Test … Test Preparation and Practice Teacher’s Guide Help for the South Carolina ... Standards Review EA-2: The Real Number System and Operations