Mastery Algebra Exam REVIEW 2010

Mastery Algebra Exam REVIEW 2010

Name:______

1.  2x + 6y if x = -1 and y = 1/2

A. -1 B. -1/2 C. -5 D. 1

2.  3(x – y2) when x = 2 and y = -3

A. 15 B. 33 C. -21 D. -33

3. 

A. 2 B. 24.6 C. -24.6 D. 26

4.  (64 / -16) ¸ -4 ¸ -2

A. -4 B. -2 C. - D. 8

5.  Evaluate 26 – (8 – 12).

A. 6 B. -6 C. -30 D. 30

6.  Evaluate -4 * 1

A. B. C. D.

7.  Translate the following sentence into an equation.

“a number cubed less than the number”

A. x3 - x B. x - x3 C. x2 - x D. x - x2

8.  Translate the following sentence into an equation.

Three times a number x equals the difference of x and 6

A. 3 + x = x ÷ 6 B. 3 + x = x - 6

C. 3x = x - 6 D. 3x + 2 = x - 6

9.  Write a verbal expression for k + m.

A. the sum of m and k C. the product of m and k

B. the difference of m and k D. the quotient of m and k

10.  What property of real numbers justifies the following statement?

4x (y + 2) – 3y is equivalent to (y + 2) 4x – 3y

a.  Associative Multiplication

b.  Commutative Multiplication

c.  Distributive Property

d.  Closure Property

11.  Which is an example of the Distributive property?

A.  3 + 5m = 3 + (1 + 4)m

B.  3 + 5m = 5m + 3

C.  3m + 5m = (3 + 5)m

D. 3 + 5m = 3m + 5

12.  Juan has $42 in his savings account. He withdrew $12 one week and deposited $15 the next week. What is the balance in his account?

A. $75 B. $39 C. $42 D. $45

13.  (4 – 1)3 + (15 – 3) 2 + (6 – 4) 3

A. 179 B. -49 C. 4 D. 2

14.  Which expression is equivalent to (2)(8 – 2x)?

A. 16 – 2x B. 16 – 4x C. 8(2 – 2x) D. 6(4 – 2x)

15.  Name the property used in 4n2 + (6 + 2n) = 4n2 + (2n + 6).

A. Commutative Addition C. Commutative Multiplication

B. Associative Addition D. Associative Multiplication

16.  Which of the following is a irrational number?

A. B. 3.75 C. D. 8

Solve:

17.  Solve: 4x + 2 = 10

A. 1 B. -1 C. 2 D. -2

18.  Solve: 3x – 6 = x – 2

A. -2 B. 2 C. -4 D. 1

19.  Solve: = 12

A. 8 B. 16 C. 18 D. 40

20.  Solve: b – 12 = -5

A. 7 B. -7 C. 17 D. -17

21.  What is the value of x in the following equation? 2x – (5x + 9) = 0

A. -8 B. – 4 C. – 3 D. 3

22.  What is the solution of 1.8x – 5 = 4.3x – 7.75?

A. 1.1 B. -1.1 C. 0.11 D. -0.11

23.  Solve: -3 (h – 6) = 5 (2h + 3)

A. B. C. D. -

24.  Solve: 8x- 10 = 6x – 12 + 4x

A. 1 B. -1 C. - D. -11

25.  Solve: 8 – 3x = -16

A. - B. C. -8 D. 8

26.  Solve: 4( -3x – 5) = -2( 5x + 3)

A. -7 B. C. -1 D. 13

27.  Solve: ( 6x – 3) = x + 5( x + 8) - 2x

A. all solutions B. no solutions C. 6 D. 0

28.  Solve: 5x – 3( 2x + 4) = 17

A. 7 B. 12 C. -12 D. -3

29.  Solve: - y = - 24

A. -9 B. 9 C. -64 D. 64

30.  Simplify:

A. -5x + 2 B. 5x + -2 C. -5x + -2 D. 5x + 2

31.  Solve V = for x.

a. Vr2 – b – x b. c. Vr2 – ab d.

32.  Solve:

a. b. c. d. 12

33.  In which step did the first error occur?

-12x + 5 ³ 7x - 2

a. Step 1

Step 1: -19x + 5 £ -2 b. Step 2

Step 2: -19x £ -7 c. Step 3

Step 3: x £ d. No error

34.  When 2x – 3y = 6 is solved for y, which equation results?

a. -3y = 6 – 2x b. c. d.

35.  What is the solution of 4(9b + 26) = 0.2(7b + 12) ?

[A] –3.3 [B] –2.3 [C] –2.9 [D] –2.7

36.  Solve:

[A] [B] [C] [D]

37.  Solve:

[A] [B] –3 [C] [D]

38.  Solve: Solve: x + 2 = 4(4x – 5)

[A] [B] [C] [D]

39.  Solve: 3(2x – 5) = 16

A. B. C. D.

40.  Solve: 4 – 2(3x – 4) = 1 – (5x + 4)

A. -9 B. -1 C. 3 D. 15

41.  Solve: 4(x + 1) + 4x = 2( 3x – 1)

A. -3 B. -1 C. 3 D.

42.  Solve: 3(2x – 5) = -16

A. - B. - C. D.

43.  Solve: x + 3(6 – x) = 20

A. -2 B. -1 C. 1 D. 2

44.  Solve: 17x + 22 = -23 + 2x

A. -7 B. -3 C. 5 D.

45.  Solve: 3x – 7 = 11x – (8x – 2)

A. All solutions B. no solutions C. 2 D. 5

46.  A shirt is on sale for $34.40, which is 20% off the original price.
Find the original price of the shirt.
a. $36.40
b. $41.28
c. $43.00
d. $54.40

47.  Solve for x: 5x + 12 = - 3x + 60

a. -4

b. 6

c. -6

d. 8

Use the choices at the right for questions 65-69.

What property is being shown in each of the questions.

65. ______A. Commutative Property (+)

66. ______B. Commutative Property(x)

67. ______C. Associative Property (+)

68. ______D. Associative Property (x)

69. ______E. Distributive Property

70. Indicate which of the following set or sets each number belongs: rational numbers or irrational numbers.

Algebra Midterm Exam Review DO NOT WRITE ON ME!!!!!!!

a.  -4

b. 

c. 

d.  0

71. If n = 5, what expression equals 30?
a. n + 5 / b. 6n
c. 5n / d. 30n
72.  Evaluate (4 – 1)3 + (15 – 3) 2 + (6 – 4) 3
a. 179 / b. -49
c. 4 / d. 2

Solve the following inequalities and graph.

75.  What is the solution set for ?

6