We assume that students come to College Algebra having mastered the material in Intermediate Algebra. This is a test over that material. You should be able to score an 80% on this test, that is more than 19 correct out of 25 questions.
Name: _________________________ Math 160B Section _____
Part I:
1. Factor: 24x2 + 8x + 4
a. (6x+4) (4x+1)
b. 4(6x2 +2x+1)
c. 4 (3x+1) (2x+1)
d. can’t be factored
e. not given
2. Factor: 25x2 + 10x + 1
a. can’t be factored
b. (5x+1) (5x+1)
c. (5x+1) (5x-1)
d. 5 (5x2+2x+1)
e. not given
3. Factor: 16x2 - y2
a. (4x+y) (4x-y)
b. 16(x+y) (x-y)
c. (2x+y) (8x-y)
d. can’t be factored
e. not given
4. Factor: 6x2 - x - 2
a. (6x+1) (x-2)
b. can’t be factored
c. (3x-2) (2x+1)
d. (3x + 2) (2x – 1)
e. not given
5. Factor: x3 + y3
a. (x+y) (x2+y2)
b. (x+y) (x2-xy+y2)
c. (x+y)3
d. can’t be factored
e. not given
Part II:
6. Simplify:
a. 2
b. 2.8
c. 2
d. 4
e. not given
7. Simplify: x8/x4
a. x4
b. x2
c. 2
d. 4
e. not given
8. Simplify: (a3b2c) (a-1b(1/2) c-2)
a. a2b/c
b. b/(a3c2)
c. a2b5/2/ c
d. a2b3/2/ c
e. not given
9. Rationalize and simplify:
a. 1/5
b.
c.
d.
e. not given
Part III:
10. Given that z = (-xy + x)/y,
find z when x = -2 and y = -3
a. -1
b. 8/3
c. 3
d. 1
e. not given
11. The formula C = (5/9) (F – 32) relates Fahrenheit and
Centigrade Temperature
measures. Solve for F:
a. F = (9/5)(C – 32)
b. F = (9/5) C + 32
c. F = (9/5) (C + 32)
d. F = (9C + 32)/5
e. not given
12. Perform all possible operations:
2[2(x + y) + 2]
a. 4x + 4y + 2
b. 4x + 2y + 4
c. 4x + 4y + 4
d. 8x + 8y + 4
e. not given
13. Perform all possible operations:
x(3 – x) - 2(x2 – 1)
a. -3x2 + 3x – 2
b. -3x2 + 3x + 2
c. 3x – 3x2 + 1
d. x2 – 3x – 2
e. not given
14. Perform all possible operations: (a + b) (c + d)
a. a + b + c + c
b. ac + bd
c. ac + ad + bc + bd
d. a (c + d) + b (c + d)
e. not given
15 Simplify: 3/4 + 1/6
a. 5/4
b. 22/24
c. 11/12
d. 4/10
e. not given
16. Simplify: (x2 + 4x +3)/(x + 1)
a. (x2 + 4x +3)/(x + 1)
b. x2 + 7
c. x + 1
d. x + 3 + 6/(x + 1)
e. not given
17. Simplify: ((1/x) + (1/y))/(x-1 – y-1)
a. x-2 – y-2
b. (1/x)2 + (1/y)2
c. -1
d. (y + x)/(y - x)
e. not given
Part IV:
18. Solve for x: 3x + 1 = -3x – 4
a. 1
b. -5/6
c. -1/2
d. no solution
e. not given
19. Solve for x: (x +)/2 = 3
a. no solution
b. 7
c. 2
d. 5
e. not given
20. Solve for x: 2x + a = -3a
a. -2
b. no solution
c. -2a
d. -a
e. not given
21. Solve for x: (2x + 3)/(x - 1) = 7
a. 2
b. -4/9
c. 1
d. -2
e. not given
Part IV:
22. Solve for x: 2x2 – x – 3 = 0
a. {-3/2, 1}
b. {2/3, -1
c. {-1/2, 3
d. no solution
e. not given
23. Solve for x: 2x + 1 < 3x + 4
a. x > 1
b. x > -3
c. x < -3
d. x > 5
e. not given
24. Solve for x: |x + 1| = 2
a. 1
b. 3
c. {3, -1}
d. {1, -3}
e. not given
25. Which of the following equations is not linear (a straight line)?
a. x + y = 2
b. y = 4
c. xy = 2
d. x = 3
e. all are linear
Answers to pre-test for MTH.160
1. B
2. B
3. A
4. C
5. B
6. A
7. A
8. C
9. D
10. B
11. B
12. C
13. B
14. C
15. C
16. E
17. D
18. B
19. D
20. C
21. A
22. E
23. B
24. D
25. C
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