COLLEGE LEVEL MATHEMATICS PRETEST

COLLEGE LEVEL MATHEMATICS PRETEST

This pretest is designed to give you the opportunity to practice the types of problems that

appear on the college-level mathematics placement test. An answer key is provided so

that you may check your answers. The questions consist of algebra and trigonometry

problems.

The Accuplacer Test is an adaptive test. Depending on your answers to each question,

you may find that you will be tested on some or all of the material in this packet.

The mathematics placement testing includes elementary algebra to start. If you score a

76 or higher on elementary algebra questions, Accuplacer will automatically continue

into college-level mathematics questions. Once you begin answering these questions,

your placement is based on your score in this portion of the exam.

Start Accuplacer

Elementary

Algebra

Score 76 or

higher in

elementary

algebra?

YES

Begin College Level Math

Portion of Accuplacer.

Placement based on College

Level Math Placement Test

score.

NO

Placement into MAT033

or MAT037 based on

score.

College Level Mathematics Placement Pretest

1. ?2 x( x ? 3) ? ( x ? 1)( x ? 2) ?

a. ? x2 ? 7 x ? 2 .

b. ? x2 ? 5x ? 2 .

c. ?3x2 ? 7 x ? 2 .

d. ?3x2 ? 5x ? 2 .

e. ?3x2 ? 5x ? 2 .

2.

x

7

?

?

x?2 x?2

a.

b.

c.

d.

e.

3.

3

x?7

.

x?2

x?7

.

x?2

x 2 ? 9 x ? 14

.

x2 ? 4

x 2 ? 9 x ? 14

.

x2 ? 4

x?7

.

4

x2 =

2

a. x 3 .

4.

b. x ?3 .

3

c. x 2 .

d. x ?6 .

e. x 6 .

5?2 x ?1

?

x4 y 2

1

a.

.

25x3 y 2

1

b.

.

10x5 y 2

25x 5

.

y2

10

d. 3 2 .

x y

1

e.

.

25x5 y 2

c.

September 2012

2

College Level Mathematics Placement Pretest

?

1

2

5. (64) =

1

c. ? .

8

b. ?4 .

a. 8.

d.

1

.

8

e.

1

.

4

6. If 3 x ? a ? b , then x ?

a.

b.

?b ? a ? .

3

? a ? b? .

3

c. b3 ? a3 .

d. a3 ? b3 .

e. 3 b ? a .

1 1

?

x y

7. 2

?

y ? x2

a. xy( x ? y) .

1

b.

.

xy ( x ? y )

1

c.

.

3

?( x ? y 3 )

d. y ? x .

1

e.

.

x? y

8. 2 x ? 7 ? 1 is equivalent to which of the following?

a.

b.

c.

d.

e.

2

x ? ?3

x?3

3? x ? 4

?4 ? x ? ?3

0? x?3

1

9. a 3 ? a 4 ?

1

a. a 6 .

2

b. a 7 .

11

c. a 12 .

1

d. a 4 .

3

e. a 7 .

September 2012

3

College Level Mathematics Placement Pretest

10. In the figure below, if the length of AB is 10, find the length of AD.

A

3

8

3

11

4

12

1

12

4

1

12

2

a. 11

b.

c.

d.

e.

10

B

8

C

10

E

D

11. One solution of the equation x2 ? 7 x ? 2 ? 0 is

7 ? 41

a.

.

2

7 ? 41

b.

.

2

7 ? 57

c.

.

2

?7 ? 41

d.

.

2

?7 ? 57

e.

.

2

12. What is the slope of the line shown? You may assume that each tick mark represents

one unit.

y

x

a. ?2

b. ?

1

2

c. 1

d. 2

e.

1

2

September 2012

4

College Level Mathematics Placement Pretest

13. If f ( x) ? 4 x ? 2 , then f ( x ? 1) =

a.

b.

c.

d.

e.

4 x2 ? 6 x ? 2 .

4 x2 ? 2 x ? 2 .

4x ? 2 .

4x ? 6 .

4 x ? 1.

14. The graph of which of the following equations is a line parallel to the graph of

x ? 5y ? 8 ?

a.

b.

c.

d.

e.

x ? 5y ? 8

5x ? y ? 8

2 x ? 10 y ? 8

2 x ? 10 y ? 8

10 x ? 2 y ? 8

15. If z ?

a.

b.

c.

d.

e.

16. If

a.

b.

c.

d.

e.

x ?8

, then x ?

2x

8

.

1 ? 2z

8

.

2z ?1

z ?8

.

2

z ?8

.

2

2z ?1 .

x ? b ? a , then x ?

a ? b2 .

a? b.

a2 ? b .

a2 ? b .

a? b .

September 2012

5

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