CLEP College Algebra Practice Questions - 8 & Answer Key

1. If $\frac{1}{2}$ of a number is 3, what is $\frac{1}{3}$ of the number?
   
   
   1. $1$
   2. $2$
   3. $3$
   4. $6$
   5. $8$
   
   
2. If $x=-1$, then $x^{5}+x^{4}+x^{3}+x^{2}-5=$
   
   
   1. $-10$
   2. $-6$
   3. $-5$
   4. $-3$
   5. $-1$
   
   
3. If $f(x)=2^{x}+7x$, then $f(4)=$
   
   
   1. $24$
   2. $36$
   3. $44$
   4. $54$
   5. $64$
   
   
4. If $x-3=y$, then $(y-x)^{3}=$
   
   
   1. $27$
   2. $54$
   3. $-54$
   4. $-27$
   5. $81$
   
   
5. If $a>b$, and $\frac{a}{b}>0$, which of the following is true?
   
   
   1. $a>0$
   2. $b>0$
   3. $ab>0$
   
   
   1. I only
   2. II only
   3. III only
   4. I and II only
   5. I and III only
   
   
6. Which of the following is equal to $(\frac{x^{-7}y^{-5}}{x^{-3}y^{3}})^{-2}$
   
   
   1. $x^{8}y^{16}$
   2. $\frac{x^{8}}{y^{16}}$
   3. $\frac{y^{16}}{x^{8}}$
   4. $x^{4}y^{8}$
   5. $x^{8}y^{8}$
   
   
   
7. What is the slope of the line passing through the points (-1,7) and (3,5)?
   
   
   1. $\frac{1}{2}$
   2. $-2$
   3. $-\frac{1}{2}$
   4. $1$
   5. $2$
   
   
8. The symbol $\otimes$ represents a binary operation defined as $a \otimes b=3^{a}+2^{b}$, what is the value of $(-2)\otimes (-3)$
   
   
   1. $-\frac{17}{72}$
   2. $\frac{72}{17}$
   3. $-72$
   4. $72$
   5. $\frac{17}{72}$
   
   
9. If $\sqrt{\frac{49}{x}}=\frac{7}{3}$
   
   
   1. $6$
   2. $9$
   3. $25$
   4. $49$
   5. $147$
   
   
10. A bike that originally sold for $150 \$$ was on sale for $120 \$$. What was the rate of discount?
    
    
    1. $15 \%$
    2. $21 \%$
    3. $20 \%$
    4. $25 \%$
    5. $30 \%$
    
    

    Answer Key

    1	B
    2	C
    3	C
    4	D
    5	C
    6	A
    7	C
    8	E
    9	B
    10	C