CLEP Review #1

The solution set of  $\frac{7}{x^2+8x+23}=1$  is

• {8,4}

• (8, -4}

• {-4,-4}

• {4,-4}

• {16,1}

Given the equation  $\frac{7x}{3}=\left(a^4+1\right)^3$  and a= -1, solve for x. 

• 16

•  $\frac{24}{7}$  

• 24

•  $\frac{20}{3}$  

• 0

If  $f\left(x\right)=7x^2+3\ \ and\ \ g\left(x\right)=2x-9$  , then g(f(2))=

• 28

• 0

• 31

• 19

• 53

The solution set to the system

 $2x+3y=6\ \ \ and\ \ \ y-2=-\frac{2x}{3}$  

• {0,2}

• {0,0}

•  $\left\{\frac{1}{3},5\right\}$ 

• {8,3)

• Infinite number of solutions. 

When two resistances are installed in an electric circuit in parallel, the reciprocal of the resistance of the system is equal to the sum of the reciprocals of the parallel resistances. If  $r_{1\ }\ \ and\ \ \ \ r_2$  represent the resistances installed and  $R$  the resistance of the system, then  $\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}$  . What single resistance is the equivalent of resistances of 10 ohms and 25 ohms wired in parallel? 

• .004 ohms

• 7.14 ohms

• 2.5 ohms 

• 35 ohms

• 17.52 ohms

The number 120 is separated into two parts. The larger part exceeds three times the smaller by 12. The smaller part is

• 27

• 33

• 15

• 39

• 29

 $If\ \ \ y=3x$  lies in Quadrants I and III, then  $y=\left|3x\right|$  lies in Quadrants

• III and IV

• I and II

• I and III

• I, II, and III

• I only

 If a function is defined as $\left|2-5x\right|<3$ , then the interval which does not contain any solution for x is 

•  $0<x<1$  

•  $0<x<2$  

•  $-\frac{1}{25}<x<0$  

•  $-\frac{3}{5}<x<-\frac{1}{2}$  

•  $-1<x<1$  

For the following sequence of numbers $\frac{1}{2},\frac{1}{12},\frac{1}{30},.....,$ the next number will be 

•  $\frac{1}{36}$  

•  $\frac{1}{27}$  

•  $\frac{1}{48}$  

•  $\frac{1}{56}$  

•  $\frac{1}{72}$  

A supermarket, rectangular in shape and 200 feet by 300 feet, is to be built on a city block that contains 81,600 square feet. There will be a uniform strip around the building for parking. How wide is the strip?

• 27 ft

• 15 ft

• 33.3 ft

• 20 ft

• 12 ft