Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

1

BRISTOL COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS

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1.

3

13

2

12 =

(A) 6 16

(B) 6 16

(C) 8 13

(D) 8 13

Answer for Problem 1

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2.

2

3

13

=

(A) 9 19

(B) 13 49

(C) 11 19

(D) 11 19

Answer for Problem 2

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3. Which of these numbers is the least?

(A) 23

(B) 0

(C) 2

(D) -1 Answer for Problem 3

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4. 3

(A) -3

(B) 13

(C) 13

(D) 3 Answer for Problem 4

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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5. 228

(A) 5

(B) -5

(C) 3

(D) -3 Answer for Problem 5

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6. 5

62

(A) 5

3

(B) 5

3

(C) 12

5

(D) 1 Answer for Problem 6

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7. 16

42

(A) -2

(B) -8

(C) 8

(D) 2 Answer for Problem 7

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8. Which number is the greatest?

(A) 8 2

(B) 8 2

(C) 8 2

(D) 8 2 Answer for Problem 8

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9. Which number is least?

(A) 6 2

(B) 6 2

(C) 6 2

(D) 6 2 Answer for Problem 9

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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10. Which of the following statements is incorrect:

(A) 3 > -7

(B) –1 < 0

(C) –5 > -2

(D) –3 < -3 Answer for Problem 10

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11. If a 1 3 , b 1 3 , c = )3(1 which of the following is true?

(A) a b

(B) a b

(C) b c

(D) a c Answer for Problem 11

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12.

2

3

1

=

(A) 23

(B) 19

(C) 23

(D) 19

Answer for Problem 12

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13. (-2)3 =

(A) 6

(B) 8

(C) 6

(D) 8 Answer for Problem 13

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14. 2 x (-1)2 =

(A) 2

(B) -2

(C) 4

(D) -4 Answer for Problem 14

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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15. If a 2 , b 5 , and c 3, then a b a c

(A) 2

(B) 5

(C) 8

(D) 12 Answer for Problem 15

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16. If x 7 , y 2 and z 4 , then x y y z 3

(A) -13

(B) –9

(C) –1

(D) 23 Answer for Problem 16

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17. If a 3 , then 1 2 a

(A) 10

(B) 8

(C) –5

(D) –8 Answer for Problem 17

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18. If x 2 and y 3 then 2x y

(A) 1

(B) 7

(C) -1

(D) 2 Answer for Problem 18

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19. If m 2 and a 1 then m(a + 3) =

(A) 4

(B) -4

(C) 1

(D) -6 Answer for Problem 19

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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20. If x 6 and a 2 then x a

a

2

(A) -4

(B) -3

(C) 2

(D) 1 Answer for Problem 20

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21. If x 3 then (x – 2)(x – 4)

(A) 5

(B) 1

(C) -1

(D) 11 Answer for Problem 21

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22. If x 1

2 and y

3

4 , then xy x 3

(A) 1

4

(B) 1

2

(C) 3

4

(D) 11

8 Answer for Problem 22

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23. If x 1

2 and y

3

4, then

x

y

(A) 3

8

(B) 2

3

(C) 3

2

(D) 8

3 Answer for Problem 23

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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24. x x2 3

(A) 5

(B) 6

(C) x5

(D) x6 Answer for Problem 24

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25. m

m

5

2

(A) m7

(B) m10

(C) m3

(D) 3 Answer for Problem 25

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26. ( )a2 3

(A) a

(B) a5

(C) a6

(D) a8 Answer for Problem 26

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27. p

p

4

(A) p25

(B) p10

(C) p7

(D) p3 Answer for Problem 27

28. 15

5

3x

x

(A) 5 2x

(B) 3 2x

(C) 3 3x

(D) 3 4x Answer for Problem 28

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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29. (3x2y)(x3y)

(A) 3 5x y

(B) 3 6x y

(C) 3 5 2x y

(D) 6 5x y Answer for Problem 29

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30. ( )( )2 43 2 3x y xy z

(A) 8 3 2 3x y z

(B) 8 4 3 3x y z

(C) 2 3 2 3x y z

(D) 2 4 3 3x y z Answer for Problem 30

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31. (2hk2)2 =

(A) 4 2hk

(B) 2 4hk

(C) 2 2 4h k

(D) 4 2 4h k Answer for Problem 31

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32. ( ) 3 2 3mn

(A) 27 3 6m n

(B) 27 3 6m n

(C) 9 3 6m n

(D) 3 6mn Answer for Problem 32

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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33. 12

15

3 2

2

x y

xy

(A) x2

3

(B) 4

5

4 4x y

(C) 4

5

2x

(D) 4

5

3x y Answer for Problem 33

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34.

x

a

a

x

4

9

3

2 2

=

(A) 3

2

a

(B) 3

2

ax

(C) 3

2

3 2a x

(D) 2

3

a Answer for Problem 34

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35. 3 4x y x y

(A) 3 5x y

(B) 4 5x y

(C) 3 42 2x y

(D) 3 42 2x y Answer for Problem 35

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36. 5 4 3 2m a m a

(A) 2 2m a

(B) 2 22 2m a

(C) 15 82 2m a

(D) 8 6m a Answer for Problem 36

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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37. 4 3 4 2 1x y x

(A) 2 3 42x y

(B) 2 3x

(C) 6 3 4x y

(D) 2 3 3x y Answer for Problem 37

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38. 5(x – 2)

(A) 5 2x

(B) 5 10x

(C) 10x

(D) 5 3x Answer for Problem 38

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39. 3(x – 4) – (2x + 1) =

(A) x 11

(B) x 13

(C) x 3

(D) x 5 Answer for Problem 39

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40. 2(3a – 1) – 3(a + 2)

(A) 3 1a

(B) 3 82a

(C) 3a

(D) 3 8a Answer for Problem 40

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41. 3(a + 2) + 5(2a – 3)

(A) 4a

(B) 10 9a

(C) 13 1a (D) 13 9a Answer for Problem 41

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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42. 2(r – 3s) – 4(3r + s) =

(A) -2(r + s)

(B) -2(r – s)

(C) -10(r + s)

(D) -10(r – s) Answer for Problem 42

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43. 3x(x – 2) + 2(5x + 4)

(A) 13 2x

(B) 3 4 82x x

(C) 13 6 82x x

(D) 30 12 82x x Answer for Problem 43

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44. 5 3 3 4 52 2x x x x x( ) ( )

(A) 15 15 173 2x x x

(B) 30 173 2x x

(C) 17 2x

(D) 7 2x Answer for Problem 44

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45. (x – 1)(x + 5)

(A) x x2 4 5

(B) x2 5

(C) x x2 4 5

(D) 5 5x Answer for Problem 45

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46. (2x – 3)(x + 2)

(A) 2 62x

(B) 2 62x x

(C) 2 62x x

(D) 4 6x Answer for Problem 46

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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47. (2a + x)2 =

(A) 4 22 2a ax x

(B) 4 2a x

(C) 4 42 2a ax x

(D) 4 2 2a x Answer for Problem 47

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48. (ay – 3)(2y + m)

(A) 2 6 32ay amy y m

(B) 2 6 32ay amy m

(C) 2 32ay m

(D) 2 6 3ay y amy m Answer for Problem 48

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49. (3a – 2)(2a + 7)

(A) 6 142a

(B) 6 17 142a a

(C) 6 17 142a a

(D) 6 25 142a a Answer for Problem 49

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50. ( )4 3 2x y

(A) 16 92 2x y

(B) 16 92 2x y

(C) 16 12 92 2x xy y

(D) 16 24 92 2x xy y Answer for Problem 50

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51. ( )( )2 1 5 2 42y y y

(A) 7 9 10 43 2y y y

(B) 7 4 3 43 2y y y

(C) 10 9 10 43 2y y y

(D) 10 4 3 43 2y y y Answer for Problem 51

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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52. (5b + 3)(5b – 3)

(A) 25 30 92b b

(B) 25 92b

(C) 10 9b (D) 10b Answer for Problem 52

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53. 6 3m

(A) 3m

(B) 2(3m)

(C) 6(m – 1)

(D) 3(2m – 1) Answer for Problem 53

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54. 8 12x

(A) 8(x + 4)

(B) 4(2x + 3)

(C) 4(2x + 8)

(D) 8(x + 12) Answer for Problem 54

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55. x x2

(A) x(2 – x)

(B) x(x – 1)

(C) 2x(-x)

(D) -4(x2 – x) Answer for Problem 55

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56. 6 102x x

(A) 3 5x (B) 6x(x – 10)

(C) 2x(3x – 5)

(D) 4 2( )x x Answer for Problem 56

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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57. m m m3 22

(A) 2 6m

(B) m(m2 + 2m)

(C) m(m + 1)2

(D) m2(m + 2) Answer for Problem 57

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58. x2 9

(A) (x + 3)(x + 3)

(B) (x – 3)(x - 3)

(C) (x + 3)(x – 3)

(D) (x + 1)(x – 9) Answer for Problem 58

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59. a b2 2

(A) (a – b)(a + b)

(B) ( )a b 2

(C) a(a – b)

(D) ab(a – b) Answer for Problem 59

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60. 3 124 2 2a b a b

(A) 15 6 3a b

(B) 3 42 2 2a b a( )

(C) 3 42 2a b a b( )

(D) 3 42 2a b a b( ) Answer for Problem 60

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61. y y2 5 6 =

(A) (y – 6)(y – 1)

(B) (y – 6)(y + 1)

(C) (y – 2)(y – 3)

(D) (y – 2)(y +3) Answer for Problem 61

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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62. x x2 2 3

(A) (x + 1)(x + 3)

(B) x(x – 3)

(C) (x – 1)(x + 3)

(D) (x + 1)(x – 3) Answer for Problem 62

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63. 2 3 12m m

(A) (m + 1)(m + 2)

(B) (2m + 1)(m + 1)

(C) (2m + 3)(m + 1)

(D) (2m – 1)(m – 1) Answer for Problem 63

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64. 2 5 32x x

(A) (x + 3)(2x – 1)

(B) (x – 3)(2x + 1)

(C) (x + 1)(2x – 3)

(D) (x – 1)(2x + 3) Answer for Problem 64

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65. 3 16 122x x

(A) (3x – 2)(x + 6)

(B) (3x – 2)(x – 6)

(C) (3x + 2)(x – 6)

(D) (3x + 2)(x + 6) Answer for Problem 65

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66. One factor of 2 9 42x x is

(A) (x + 4)

(B) (2x + 1)

(C) (2x – 1)

(D) (2x + 4) Answer for Problem 66

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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67. x2

49

(A) (2x + 3)(2x – 3)

(B)

3

1

23

1

2

xx

(C)

3

23

2

xx

(D)

3

12

3

12 xx Answer for Problem 67

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68. m m

m

2

2

(A) 1

2

(B) m1

(C) m1

2

(D) m

2 Answer for Problem 68

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69. 3 3x y

x y

(A) 3

(B) 6

(C) 2 2x y

(D) 2xy Answer for Problem 69

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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70. 8 12

8

2x x

x

(A) x 12

(B) 11x

(C) x

x

4

(D) 2 3

2

x Answer for Problem 70

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71. 2 1

1x x

(A) 3 2

1

x

x x

( )

(B) 3

1x x( )

(C) 4

1x

(D) 3

1x Answer for Problem 71

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72. x

x x

2

3

2

(A) x x

x

2

2

5 6

4

(B) x x

x

2

2

6

4

(C) 3 5 6

4

2

2

x x

x

(D) 3 5 6

4

2

2

x x

x

Answer for Problem 72

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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73. 4 1

2a a

(A) 9

2a

(B) 5

2 2a

(C) 9

4a

(D) 5

2a Answer for Problem 73

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74. 2

1

3

x x

(A) 1

35

xx

x

(B) 1

15

xx

x

(C) 5

2 1x

(D) )1(

5

xx Answer for Problem 74

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75. 3

2 1

m n

(A) mn

(B) mn

3

(C) 3

2

mn

n m

(D) 3

2

mn

m n Answer for Problem 75

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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76. 1

1 1

x

x y

(A) xy

x y

(B) 1 xy

(C) x

x y

(D) y

y x Answer for Problem 76

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77. 3

1 1

a

a

(A) 3

1 a

(B) 3

1a

(C) 2

(D) a

a )1(3 Answer for Problem 77

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78. 25

4

(A) 5

4

(B) 5

2

(C) 61

4

(D) 61

2 Answer for Problem 78

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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79. 32

(A) 4 2

(B) 4 8

(C) 16 2

(D) 8 Answer for Problem 79

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80. 83

(A) 2 2

(B) 2 23

(C) 4 23

(D) 2 Answer for Problem 80

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81. 814

(A) 3 94

(B) 9 94

(C) 3

(D) 9 Answer for Problem 81

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82. 18 4x

(A) 3 22x

(B) 3 2 2x

(C) 3 2x x

(D) x 18 Answer for Problem 82

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83. 27 3 63 a b

(A) 3 32 3ab

(B) 3 3 23 ab

(C) 3 23 ab

(D) 3 2ab Answer for Problem 83

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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84. 16 84 m

(A) 2 4m

(B) 2 2m

(C) 4 4m

(D) 4 2m Answer for Problem 84

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85. 16 4x

(A) 8 4x

(B) 4x

(C) 4 2x

(D) 8 2x Answer for Problem 85

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86. 8 63 m

(A) 2 3m

(B) 2 2m

(C) 8

3

6m

(D) 8

2

2m Answer for Problem 86

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87. If x 5 12 , then x

(A) 7

(B) –7

(C) 17

(D) –17 Answer for Problem 87

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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88. If 6 15x , then x

(A) -9

(B) 9

(C) 2

5

(D) 5

2 Answer for Problem 88

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89. If 2

312m , then m

(A) 8

(B) 111

3

(C) 131

3

(D) 18 Answer for Problem 89

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90. If 2 7 3a , then a

(A) 81

3

(B) 5

(C) 1

5

(D) –2 Answer for Problem 90

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91. If 5(3 – x) = 12, then x

(A) 10

(B) 6

5

(C) 3

5

(D) 3

5 Answer for Problem 91

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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92. If 2(3x – 1) = 2, then x

(A) 2

3

(B) 0

(C) 1

2

(D) 3

2 Answer for Problem 92

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93. If 32

m

m then m

(A) 3

(B) 1

(C) -1

(D) -3 Answer for Problem 93

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94. If x

x

15 , then x

(A) 54

(B) 54

(C) 45

(D) 45

Answer for Problem 94

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95. If bx a x then x=

(A) 3

b

(B) a

b 1

(C) a

b2

(D) b

2 Answer for Problem 95

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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96. If x x2 12 0 then x could be

(A) 4

(B) -4

(C) -3

(D) 6 Answer for Problem 96

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97. For which of the following equations is x 2 a solution

I x(x – 2) = 0

II x2 2 0

(A) I and II

(B) I only

(C) II only

(D) neither Answer for Problem 97

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98. Which of the following is a solution of 3x(2x – 1) = 0?

(A) -½

(B) ½

(C) 1

(D) 2 Answer for Problem 98

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99. Which of the following is a solution of (x + 4)(2x – 3) = 0?

(A) 0

(B) 4

(C) 32

(D) 32 Answer for Problem 99

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100. Which of the following is a solution of 2 9 5 02x x ?

(A) 0

(B) 2

(C) 5

(D) 9 Answer for Problem 100

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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101. If a number is multiplied by 3 and then 4 is added, then the result is 10. What is the number?

(A) 2

(B) 3

(C) 73

(D) 143

Answer for Problem 101

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102. Three fifths of a number is 20 less than 8. What is the number?

(A) 20

(B) –20

(C) 365

(D) 365

Answer for Problem 102

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103. Which of the following represents the sum of two consecutive integers if the smaller integer is n?

(A) n1

(B) 2 1n

(C) n2 (D) 2 2n Answer for Problem 103

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104. If p is an odd number, then the sum of the next two larger odd numbers is represented by

(A) 2 1p

(B) 2 2p

(C) 2 3p

(D) 2 6p Answer for Problem 104

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105. Dan has $17 more than Colleen. Combined, they have $143. How much money does Dan have?

(A) $42

(B) $63

(C) $80

(D) $126 Answer for Problem 105

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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106. Maria’s car will travel m miles on 14 gallons of gas. How many miles will it go on 20 gallons of gas?

(A) mm

6

(B) mm

6

(C) 10

7

m

(D) 7

10

m Answer for Problem 106

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107. If 5 less than twice a number is 7, then the number is

(A) 6

(B) -1

(C) 1

(D) 0 Answer for Problem 107

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108. If a number is divided by 3 and then 4 is added, the result is l. The number is

(A) -9

(B) 9

(C) -1

(D) 1 Answer for Problem 108

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109. Greg has 3 more than twice as many DVD’s as Dan. Together they have 15. Which equation would

be used to determine the number of DVD’s that Dan has?

(A) 2 3 15x

(B) (2x + 3) + x = 15

(C) 2(x + 3) = 15

(D) x + 2(x + 3) = 15 Answer for Problem 109

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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110. A car travels x miles in three hours. If it continues at the same rate how many miles will it travel in 5

hours?

(A) 5x

(B) 3

5

x

(C) 5

3

x

(D) 3 5x Answer for Problem 110

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111. If 3 15 11t , then

(A) t 4

3

(B) t 4

3

(C) t 4

3

(D) t 4

3 Answer for Problem 111

112. If 8 2 9 z , then

(A) z 1

2

(B) z 1

2

(C) z 1

2

(D) z 1

2 Answer for Problem 112

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113. If a 1, then a 4 must be

(A) -5

(B) greater than –5

(C) less than or equal to –5

(D) greater than or equal to –5 Answer for Problem 113

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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114. If 3 5 x , then 3 x must be

(A) greater than zero

(B) between zero and two

(C) less than –2

(D) between 2 and zero Answer for Problem 114

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115. Which is equivalent to 2 3 5x x ?

(A) x 2

(B) x 8

(C) x 8

(D) x 2 Answer for Problem 115

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116. Which is the graph of 2 3 x

(A) 0 1 2 3 4 5 6

(B) 0 1 2 3 4 5 6

(C) 0 1 2 3 4 5 6

(D)

0 1 2 3 4 5 6 Answer for Problem 116

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Y

117. In which region is the point (-2,-3)?

II I (A) I

(B) II X

(C) III

(D) IV

III IV

Answer for Problem 117

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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118. The coordinates of the point where the graph crosses the y axis are Y

(A) (0,6) (B) (6,0) (C) (0,2) (D) (2,0) Answer for Problem 118

119. Which is the graph of y x 2 ?

(A) I (B) II (C) III (D) IV Answer for Problem 119

X

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

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120. Which is the graph of y x 2?

(A) I (B) II (C) III (D) IV Answer for Problem 120

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121. If

7

3

ba

ba, then

(A) a b 2 1,

(B) a b 5 2,

(C) a b 7 4,

(D) a b 10 7, Answer for Problem 121

122. If

72

103

yx

yx, then

(A) x y 1 7,

(B) x y 3 1,

(C) x y 5 2,

(D) x y 2 4, Answer for Problem 122

Information and Review Session for the Elementary Algebra Portion of the ACCUPLACER Placement Test Revised 2016

30

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123. In the solution of the system of equations

82

92

yx

yx what is the value of y?

(A) 5

(B) 2

(C) 17

3

(D) 1 Answer for Problem 123

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