This study guide is for students trying to test into ...

COWLEY COUNTY COMMUNITY COLLEGE REVIEW GUIDE

Compass Algebra ? Level 2

This study guide is for students trying to test into College Algebra. There are three levels of math study guides.

1. If x = 2 and y = -1, what is the value of the expression 2 y3 + 3xy2? A. 8 B. 4 C. 10 D. 6 E. 5

2. Which of the following expressions represents the product of four less than three times x and two more than x? A. 3x2 - 2x - 8 B. 3x2 - 2x + 8 C. 3x2 + 2x + 8 D. 3x2 + 2x - 8 E. 3x2 + 10x - 8

3. A student earned scores of 92, 89, and 79 on three of four exams. What must the student score on the fourth exam to have an average (arithmetic mean) of exactly 85? A. 80 B. 82 C. 84 D. 86 E. 87

4. What is the equation of the line that contains the points (3, 5) and (6, ?2)? A. y = - 7 x - 6 3 B. y = - 7 x + 12 3 C. y = - 3 x + 5 7 D. y = - 3 x - 7 4 E. y = - 3 x - 7 43

5. For all x ?6,

x

2- x2

x -

- 42 36

=

A. x - 7 x+6

B. x + 6 x-6

C. x + 7 x+6

D. x + 7 x-6

E. x - 7 x-6

6. A board 79 inches long is cut into 3 pieces. The second piece is 5 inches longer than the first. The third piece is twice as long as the second. If x represents the length of the first piece, then which equation can be used to determine the length of the first piece? A. 79 =- 5x+15 B. 79 = x + (x + 5) + 2x C. 79 = 3x + 12 D. 79 = x + (x + 5) + 2(x + 5) E. 79 = 4x + 12

7. The product of (x2 - 4)(x + 1) is

A. x3 + 4x2 - x - 4 B. x3 + 4x - 4 C. 4x3 - 4 D. x3 - 4 E. x3 + x2 - 4x - 4

8. The statement "any integer evenly divisible by two is even" is A. always true B. never true C. true for positive integers only D. true for negative integers only E. true only if the integer is a perfect square

9. If x = -2, what is the value of 3x2 + 4x - 2 ? A. ?22 B. ?6 C. 32 D. 2 E. ?4

10. Which of the following is the complete factorization of 3x2 + 10x - 8 ? A. (3x +2)(x?4) B. (3x ? 1)(x+8) C. (3x ? 2)(x+4) D. 3(x ? 2)(x+4) E. (x ? 2)(x+12)

11. Which of these is the product of (x ? y) and (2x + y)? A. 2x2 - xy + y2 B. 2x2 - xy - y2 C. x2 + 2xy - y2 D. 2x2 + xy - y2 E. 2x2 - y2

12. If x = -3 and y = 5 , what is the value of 2(x + 3y) (x - y) ?

A. 0 B. ?192 C. 360 D. ?72 E. 192

y 10

5

-10

-5

5

10 x

5

10

13. Which of the following equations is graphed above? A. y = - 5 x + 1 2 B. y = 5 x + 1 2 C. y = - 2 x + 1 5 D. y = 2 x + 1 5 E. y = - 5 x -1 2

14. Solve this equation: 3(x - 4) - 2(x + 1) = 10

A. x = 23 B. x = 21 C. x = 24 D. x = 20 E. x = 16

15. A car salesman receives a weekly salary of W dollars plus a 6% commission on his total sales S. Which expression best describes his weekly pay? A. W + S B. (W + S) (0.6) C. .06W +S D. W + .06S E. W + 6S

16. Which of these expressions is the product of ( y - 5)( y3 - 2 y2 + 2 y + 3) ? A. y4 + 2 y3 - 2 y2 + 3y B. y4 - 7 y3 - 8 y2 - 7 y -15 C. y4 + 3y3 - 8 y2 + 13y + 15 D. y4 - 7 y3 - 8 y2 - 7 y -15 E. y4 - 7 y3 + 12 y2 - 7 y -15

y 10

5 A

-10

-5

5

x

5

10

B

10

17. On the graph shown above, what is the distance from point A to point B? A. 14 B. 106 C. 106 D. 14 E. 10

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