CLEP Review #5

If  $\frac{7}{x+4}=\frac{5}{x+6}$  , then x = 

• -11

• -7

• 5

• 7

• 11

If  $\log_2\left(x-1\right)+\log_2\left(x+1\right)=3$  , then x =

• -1

• 1

• 2

• 3

• 4

 $10^x=31.4$  , then x =

• 0

• 1

• 1.50

• 3.14

• 31.4

If  $f\left(x\right)=3x^2-x+5$  , what is the value of  $f\left(3\right)$  ?

 If $-9<x<-4\ \ and\ \ \ -12<y<-6$ , then

• 0 < xy < 12

• 108 < xy < 112

• 24 < xy < 108

• 10 < xy < 24

• 4 < xy < 12

Two cars travel at 40 and 60 miles per hour, respectively. If the second car starts out five miles behind the first car, how long will it take the second car to overtake the first car?

• 1/2 hour

• 1/4 hour

• 1 hour

• 1/5 hour

• Cannot be determined

 $\sqrt{108}+3\sqrt{12}-\ 7\sqrt{3}=$  

•  $3-3\sqrt{3}$  

• 0

•  $4\sqrt{3}$  

•  $5\sqrt{3}$  

•  $10\sqrt{3}$  

What is the solution to the pair of equations below?

  $x-3y=1$  

 $2x+y=2$  

• x = 1 and y = 0

• x = 2 and y = 0

• x = 3 and y = 1

• x = 0 and y = 1

• x= 0 and y = 2

If x and y are positive integers, which of the following must be a positive integer?

I. x + y

II. x - y

III. xy

• I only

• II only

• I and II only

• I and III only

• I, II, and III

If $\log_8x=\frac{4}{3}$  , what is the value of x?