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CLEP Review #6

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

The solution set for x in the inequality  x23<1\left|x^2-3\right|<1  is

a)

 {x such that2<x<2}\left\{x\ such\ that-\sqrt{2}<x<\sqrt{2}\right\}  

b)

 {x such that2<x<2}\left\{x\ such\ that-2<x<-\sqrt{2}\right\}  

c)

 {x such that2<x<2 or 2<x<2}\left\{x\ such\ that-2<x<-\sqrt{2}\ or\ \sqrt{2}<x<2\right\}  

d)

 {x such that2<x<2 or 2<x<2}\left\{x\ such\ that-\sqrt{2}<x<\sqrt{2}\ or\ -2<x<2\right\}  

e)

 {x such that2<x<2}\left\{x\ such\ that\sqrt{2}<x<2\right\}  

2.

If  log83=xlog23\log_83=x\log_23  , then x equals

a)

4

b)

3

c)

 log89\log_89  

d)

 log43\log_43  

e)

 13\frac{1}{3}  

3.

There are six knights of the round table. Given that Sir Lancelot must sit in a specific chair and that Sir Gawain must be directly on either side of him, in how many ways may the knights be seated?

(a)  

4.

 log3(81)2.3=\log_3\left(81\right)^{-2.3}=  

a)

8.0

b)

3.0

c)

5.6

d)

-9.2

e)

-4.5

5.

 log2 28=\log_2\ \frac{\sqrt{2}}{8}=  

a)

 52\frac{5}{2}  

b)

 12\frac{1}{2}  

c)

 32\frac{3}{2}  

d)

 52-\frac{5}{2}  

e)

 12-\frac{1}{2}  

6.

A rectangular solid has dimensions 3, 4, and 5. Find its diagonal.

a)

4.33

b)

9.41

c)

3.14

d)

5.25

e)

7.07

7.

What is the slope of the line
 15x+37y23=015x+37y-23=0  ?

a)

0.405

b)

-0.405

c)

37

d)

2.467

e)

15

8.

What is the equation of the line which is parallel to  6x+3y=46x+3y=4  and has a y-intercept of -6?

a)

 y=2x+43y=-2x+\frac{4}{3}  

b)

 y=2x+43y=2x+\frac{4}{3}  

c)

 y=2x43y=-2x-\frac{4}{3}  

d)

 y=2x6y=-2x-6  

e)

 y=2x+6y=-2x+6  

9.

 cube root of 16cube root of 2\frac{cube\ root\ of\ -16}{cube\ root\ of\ -2}  =

a)

2

b)

-2

c)

 232\sqrt{3}  

d)

cube root of 2

e)

cube root of -2

10.

An airplane with an air speed of 300 miles per hour flies against a head wind, and flies 900 miles in four hours. What is the speed of the head wind?

a)

900 mph

b)

75 mph

c)

50 mph

d)

300 mph

e)

150 mph