1. Is the equation 3(2x – 4) = (-18) equivalent to 6x – 12 = (-18)?
Yes, the equations are equivalent by the Associative Property of Multiplication.
Yes, the equations are equivalent by the Commutative Property of Multiplication.
Yes, the equations are equivalent by the distributive property of Multiplication over Addition.
No, the equations are not equivalent. 1
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2. A1.1
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3. 4 6 9 10 3
A2.0
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4. Which expression is equivalent to
A. C.
B. D. 4
A2.0
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5. Which number does not have a reciprocal?-1 C.
D. 3 5
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6. What is the multiplicative inverse of ? -2 B. C.
D. 2 6
A2.0
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7. What is the solution for this equation?
x = -4 or x = 4
B. x = -4 or x = 3
x = -1 or x = 4
D. x = -1 or x = 3 7
A3.0
CST Algebra

8. What is the solution set of the inequality
-2 ≤ x ≤ 6
B. x ≤ -2 or x ≥ 6
-12 ≤ x ≤ 4
D. x ≤ -12 or x ≥ 4 8
A3.0
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9. Which equation is equivalent to 5x – 2(7x + 1) = 14x ?
B. -9x + 1 = 14x
-9x + 2 = 14x
D. 12x – 1 = 14x 9
A4.0
CST Algebra

10. Which equation is equivalent to 4(2 – 5x) = 6 – 3( 1 – 3x)?
B. 8x = 17
29x = 5
D. 29x = 17 10
A4.0
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11. A4.0
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12. If the total cost was $360, for how many days was the sailboat rented?
The total cost (c) in dollars of renting a sailboat for n days is given by the equation
c = n.
If the total cost was $360, for how many days was the sailboat rented? 2 4 6
D. 8 12
A5.0
CST Algebra

13. Which is the first incorrect step in the solution shown above?
Solve: 3(x + 5) = 2x + 35
Step 1: 3x + 15 = 2x + 35
Step 2: 5x + 15 = 35
Step 3: 5x = 20
Step 4: x = 4
Which is the first incorrect step in the solution shown above?
Step 1
Step 2
Step 3
D. Step 4 13
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CST Algebra

14. A 120-foot-long rope is cut into 3 pieces
A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope?
20 feet
40 feet
60 feet
80 feet 14
A5.0
CST Algebra

15. The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day?
2.5 hours
3.7 hours
7.0 hours
13.0 hours 15
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CST Algebra

16. What is the solution to the inequality x – 5 > 14 ? x > 9 16
A5.0
CST Algebra

17. The lengths of the sides of a triangle are y, y + 1, and 7 centimeters
The lengths of the sides of a triangle are y, y + 1, and 7 centimeters. If the perimeter is 56 centimeters, what is the value of y? 24 25 31 32 17
A5.0
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18. A5.0
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19. Which number serves as a counterexample to the statement below?
All positive integers are divisible by 2 or 3.
100 57 30 25 19
A24.1
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20. What is the conclusion of the statement in the box below?
If = 4, then x = -2 or x = 2
A. = 4
x = -2
x = 2
x = -2 or x = 2 20
A24.2
CST Algebra

21. All good musicians are high school band members.
Which of the following is a valid conclusion to the statement “If a student is a high school band member, then the student is a good musician”?
All good musicians are high school band members.
A student is a high school band member.
All students are good musicians.
All high school band members are good musicians. 21
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22. The chart below shows an expression evaluated for four
different values of x.
Josiah concluded that for all positive values of x,
produces a prime number. Which value of x serves as a
counterexample to prove Josiah’s conclusion false? 5 11 16 21 22 X 1 7 2 11 6 47 61
A24.3
CST Algebra

23. John’s solution to an equation is shown below, Given:
Step 1: (x + 2)(x + 3) = 0
Step 2: x + 2 = 0 or x + 3 = 0
Step 3: x = -2 or x = -3
Which property of real numbers did John use for Step 2?
Multiplication property of equality
Zero product property of multiplication
Commutative property of multiplication
Distributive property of multiplication over addition 23
A25.1
CST Algebra

24. Stan’s solution to an equation is shown below,
Given: n + 8(n + 20) = 110
Step 1: n + 8n + 20 = 110
Step 2: n + 20 = 110
Step 3: n = 110 – 20
Step 4: n = 90
Step 5:
Step 6: n = 10
Which statement about Stan’s solution is true?
Stan’s solution is correct.
Stan made a mistake in Step 1.
Stan made a mistake in Step 3.
Stan made a mistake in Step 5. 24
A25.2
CST Algebra

25. The opposite of a number is less than the original number.
When is this statement true?
This statement is never true.
This statement is always true.
This statement is true for positive numbers.
This statement is true for negative numbers. 25
The opposite of a number is less than the original number.
A25.3
CST Algebra

26. What is the y-intercept of the graph of 4x + 2y = 12-4 -2 6 12 26
A6.0
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27. Which inequality is shown on the graph below? A. B. C. D.27
A6.0
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28. A6.0
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29. A6.0
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30. A6.0
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31. A6.0
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32. A6.0
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33. What point lies on the line defined by 3x + 6y = 2 ?
( 0, 2 )
( 0, 6)
( 1, -1/6)
( 1, -1/3) 33
A7.0
CST Algebra

34. What is the equation of the line that has a slope of 4 and passes through the point (3, -10) ?
y = 4x - 22
y = 4x + 22
y = 4x - 43
y = 4x + 43 34
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CST Algebra

35. The data in the table shows the cost of renting a bicycle by the hour, including a deposit.
If hours, h, were graphed on the horizontal axis and cost, c, were graphed on the vertical axis, what would be the equation of a line that fits the data?
c = 5h
c = (1/5)h + 5
c = 5h + 5
c = 5h – 5 35
Hours (h)
Cost in dollars ( c ) 2 15 5 30 8 45
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CST Algebra

36. Which of the following equations was used to generate the table above?
Some ordered pairs for a linear function of x are given in the table below.
Which of the following equations was used to generate the table above?
y = 2x + 1
y = 2x - 1
y = 3x - 2
y = 4x - 3 36 X Y 1 3 7 5 13 19
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37. A7.0
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38. Lines l and q have the same y-intercept. Lines l and q are parallel.
The equation of line l is 6x + 5y = 3, and the equation of line q is 5x – 6y = 0. Which statement about the two lines is true?
Lines l and q have the same y-intercept.
Lines l and q are parallel.
Lines l and q have the same x-intercept.
Lines l and q are perpendicular. 38
A8.0
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39. Which equation represents a line that is parallel to ? A. B. C. D.39
A8.0
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40. A9.0
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41. What is the solution to this system of equations?
B. ( 1, -5 )
C. no solution
D. infinitely many solutions 41
A9.0
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42. Which ordered pair is the solution to the system of equations below?
x + 3y = 7
x + 2y = 10 A. B.
C. ( -2, 3)
D. ( 16, -3 ) 42
A9.0
CST Algebra

43. Marcy has a total of 100 dimes and quarters
Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?
A. 27
B. 40
C. 56
D. 73 43
A9.0
CST Algebra

44. C. two lines intersecting in only one point
Which of the following best describes the graph of this system of equations?
y = -2x + 3
5y = -10x + 15
A. two identical lines
B. two parallel lines
C. two lines intersecting in only one point
D. two lines intersecting in only two points 44
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45. A9.0
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46. A9.0
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47. A. B. C. D. 47
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48. A. B. C. D. 48
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49. The sum of two binomials is. If one of the binomials is
The sum of two binomials is . If one of the binomials is , what is the other binomial? A. B. C. D. 49
A10.0
CST Algebra

50. Which of the following expressions is equal to
(x + 2) + (x – 2)(2x + 1)? A. B. C. D. 50
A10.0
CST Algebra

51. A volleyball court is shaped like a rectangle
A volleyball court is shaped like a rectangle. It has a width of x meters and a length of 2x meters. Which expression gives the area of the court in square meters?
A. 3x B. C. D. 51
A10.0
CST Algebra

52. A10.0
CST Algebra

53. Which is the factored form of
A. (3a – 8b)(a – 6b)
B. (3a – 16b)(a – 3b)
C. 3(a – 4b)(a – 4b)
D. 3(a – 8b)(a – 8b) 53
A11.0
CST Algebra

54. Which is a factor of ? A. x + 3 B. x - 3 C. x + 4 D. x - 4 A11.0 54
CST Algebra

55. Which of the following shows factored completely?
B. (3t + 4)(3t + 1)
C. (9t + 4)( t + 1) D. 55
A11.0
CST Algebra

56. What is the complete factorization of ?
A. -8(2 + z)(2 – z)
B. 8(2 + z)( 2 – z) C. D. 56
A11.0
CST Algebra

57. If. is added to x, the sum is 42
If is added to x, the sum is 42. Which of the following could be the value of x?
A. -7
B. -6
C. 14
D. 42 57
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58. A14.0
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59. A14.0
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60. A14.0
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61. A14.0
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62. A14.0
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63. A19.0
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64. A19.0
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65. A20.0
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66. A20.0
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67. A20.0
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68. A20.0
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69. A21.0
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70. A21.0
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71. A21.0
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72. A21.0
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73. A22.0
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74. A23.0
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75. A23.0
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76. A23.0
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77. A12.0
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78. A12.0
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79. A12.0
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80. A12.0
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81. A12.0
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82. A13.0
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83. A13.0
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84. A13.0
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85. A13.0
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86. A15.0
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87. A15.0
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88. A15.0
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89. A15.0
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90. A15.0
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91. A15.0
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92. A16.0
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93. A16.0
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94. A17.0
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95. A17.0
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96. A18.0
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