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. $25$