CLEP College Algebra Practice Questions - 5

1. Find the indicated root $\sqrt[3]{-64}$
   
   1. $-4$
   2. $-16 $
   3. $ 16$
   4. $4 $
   5. Cannot be evaluated
   
   
2. $3^{3x}=9^{x-1}$
   
   
   1. $2$
   2. $-2 $
   3. $\frac{1}{2} $
   4. $\frac{1}{3} $
   5. $3 $
   
   
   
3. $3\sqrt{20}+6\sqrt{45}$
   
   
   1. $24\sqrt{5}$
   2. $9\sqrt{65} $
   3. $3\sqrt{5} $
   4. $20\sqrt{5} $
   5. $18\sqrt{5} $
   
   
4. $2a^{2}-3(b-c)^{2}$
   
   
   1. $[\sqrt{2}a-\sqrt{3}b+\sqrt{3}c][\sqrt{2}a+\sqrt{3}b-\sqrt{3}c]$
   2. $[\sqrt{2}a-\sqrt{3}b+\sqrt{3}c][\sqrt{2}a-\sqrt{3}b+\sqrt{3}c]$
   3. $[\sqrt{2}a-\sqrt{3}b.\sqrt{3}c][\sqrt{2}a+\sqrt{3}b.\sqrt{3}c]$
   4. $[2a-3b+3c][2a+3b-3c]$
   5. $[\sqrt{2}a+\sqrt{3}b+\sqrt{3}c][\sqrt{2}a+\sqrt{3}b+\sqrt{3}c]$
   
   
5. $(2\sqrt{5}+5\sqrt{2})(5\sqrt{5}-2\sqrt{2})$
   
   
   1. $30-21\sqrt{10}$
   2. $30+21\sqrt{10} $
   3. $-30+21\sqrt{10} $
   4. $-10 $
   5. $+10 $
   
   
6. $x^{3}-36x=0$
   
   
   1. $-6$ and $6$
   2. $-3$, $0$ and $3$
   3. $-6$, $0$ and $6$
   4. $36 $
   5. $6 $
   
   
7. $g(x)=-2x^{2}+5x-1$
   
   $g(-5)$
   
   
8. $log_{25}(\frac{1}{125})=$
   
   
   1. $\frac{-3}{2}$
   2. $\frac{2}{3} $
   3. $\frac{3}{2} $
   4. $ -3$
   5. $ 2$
   
   
9. If $log_{b}(5)=0.81$ and $log_{b}(3)=0.13$ find $log_{b}(15)$
   
   
   1. $0.1053$
   2. $0.94 $
   3. $0.10 $
   4. $0.9 $
   5. $0.95 $
   
   
10. If $log_{5}N=2$, find $N$
    
    
    1. $\frac{5}{2}$
    2. $10 $
    3. $\frac{2}{5} $
    4. $log_{2}5 $
    5. $ 25$