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state_exam_practice_b.pdf

36

Practice Test B

1. Simplify:

25 � 120 � 3 � 2 � 2

A. �135

B. �53

C. 7

D. �57

2. Simplify:

(12 � 8)2 � 4 � 20

A. �1

B. 0

C. �24

D. �16

3. � | �5 | � | 6 | � | 3 | �

A. �2

B. 4

C. �4

D. 8

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4. Simplify:

6[3x � 2(x � 1)]

A. 30x � 12

B. 18x

C. 90x � 72

D. 30x � 2

5. Evaluate the given expression when a � �1, b � 3, c � �2:

8ab � 2c

A. 20

B. �15

C. �28

D. �20

6. Solve for x:

2[x � 3(x � 1)] � 4x � 3

A. 0

B. �

C. No solution

D. 3 8

9 8

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7. Solve for x:

3x � � x � 2

A. �31

B. �5

C. �

D. �

8. Solve for Y:

5X � 3Y � 7

A. Y �

B. Y � � X

C. Y �

D. Y �

9. Solve for x:

3(2x � 4) � 5x

A. x � 12

B. x � �12

C. x � �12

D. x � 12 11

7 � 5X 3

7 � 3X 5

2 3

5X � 7 3

9 16

15 16

1 3

1 2

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10. The square of a number, decreased by two, is 6 more than the number. Choose the equation that could be used to find this number, x.

A. 2 � x2 � 6 � x

B. 2x � 2 � 6 � x

C. x2 � 2 � 6x

D. x2 � 2 � 6 � x

11. If a new CD player originally cost $250, what would be the price after a 30% discount?

A. $75.00

B. $175.00

C. $833.33

D. $150.00

12. Identify the proportion listed below that solves the problem:

You need 3 gallons of paint to cover 450 square feet of wall space. How many square feet could you cover using only two gallons of paint?

A. �

B. �

C. �

D. � 450 2

n 3

2 n

3 450

n 450

3 2

n 2

3 450

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13. Simplify: (a3b4)3

A. a 6b7

B. a27b64

C. a9b12

D. a9b7

14. Simplify: (x2y�3)(xy)

A.

B.

C. x2y2

D.

15. Simplify: (a3c�2d 0)�1

A.

B.

C.

D. a3c2

a2

c3d

c2

a3d

c2

a3

x2

y3

x3

y2

x3

y3

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16. Convert to scientific notation:

0.000501

A. 5.01 � 10�3

B. 5.01 � 10�4

C. 5.01 � 10�5

D. 5.01 � 104

17. Simplify:

(4x2 � 2x � 1) � (6x2 � 2x � 3)

A. 10x2 � 4x � 2

B. 24x2 � 4x � 3

C. 10x2 � 4x � 2

D. 10x2 � 2

18. Simplify:

�2x2(3x � 2)

A. �6x3 � 4x2

B. �10x5

C. �6x3 � 4x2

D. �6x3 � 4

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19. Simplify:

(8a � b)(2a � b)

A. 16a2 � 6ab � b2

B. 16a2 � b2

C. 16a2 � 10ab � b2

D. 10a2 � 8ab � b2

20. Factor completely:

3x3 � 24x2�18x � 9

A. (3x � 8)(2x � 3)

B. 3(x3 � 8x2 � 6x � 3)

C. 3x(x2 � 8x � 6)

D. 2(3x3 � 12x2 � 9x � 9)

21. Factor completely:

49A2 � 16B2

A. (7A � 8B)(7A � 2B)

B. (7A � 4B)2

C. B(7A � 4)(7A � 4)

D. (7A � 4B)(7A � 4B)

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22. Factor completely:

x2 � ax � 2x � 2a

A. (x � a)(x � a)(x � 2)

B. x(a � 2)2

C. (x � a)(x � 2)

D. (x � 2a)(x � 1)

23. Identify a factor of the trinomial below:

8x2 � 14x�15

A. 4x � 3

B. 2x � 3

C. 4x � 5

D. x � 5

24. Simplify:

A.

B.

C.

D. x � 1 x � 3

x � 3 x � 9

x � 1 x � 3

x � 1 2x � 3

x2 � 2x � 3 x2 � 6x � 9

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25. Solve:

2x2 � 7x � 4 � 0

A. x � �2, x � 2

B. x � �4, x �

C. x � 2, x �

D. x � 4, x � �

26. Solve: 2x2 � 23x � 30 � 0

A. x � 10, x �

B. x � , x � �30

C. x � 6, x � �5

D. x � �10, x � �

27. Assuming x represents a non-negative number, simplify completely:

A. 4x2

B. 2x2

C. 2x

D. 8x3 �2x2

�x

�x

�x

�16x5

3 2

1 2

3 2

1 2

7 2

1 2

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28. Simplify completely:

A.

B. �

C. �7

D. 6 � 16

29. Find the x � intercept for

y � 3x � 1

A. (1, 0)

B. (�1, 0)

C. (3, 0)

D. �� , 0�13

�2�3

�2

�2

��14

�32�18

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30. Find the graph that best matches the given linear equation:

2x � y � 4

A. C.

B. D.

y

x

y

x

y

x

y

x

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Practice Test B Answers:

1. B 2. D 3. A 4. A 5. C 6. D 7. C 8. A

9. B 10. D 11. B 12. C 13. C 14. B 15. A 16. B

17. D 18. C 19. A 20. B 21. D 22. C 23. A 24. D

25. B 26. D 27. A 28. B 29. D 30. C

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