## Skills Test For Students Beginning College Algebra MTH: 160B

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

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