CLEP College Algebra Practice Questions - 4

1. $(3x-5)^{2}=$
   
   
   1. $9x^{2}-30x-25$
   2. $9x^{2}+30x+25$
   3. $39x-25$
   4. $9x^{2}-25$
   5. $9x^{2}-30x+25$
   
   
2. $5^{x+1}=25^{3x+1}$, then $x=$
   
   
   1. $\frac{1}{5}$
   2. $5$
   3. $-\frac{1}{5}$
   4. $0$
   5. $\frac{1}{3}$
   
   
3. $log_{3}(x+5)=3$
   
   
   1. $10$
   2. $22$
   3. $27$
   4. $30$
   5. $32$
   
   
4. $f(x)=7-3x^{3}$
   
   
   1. $\sqrt[3]{\frac{7-x}{3}}$
   2. $\frac{\sqrt[3]{7-x}}{3}$
   3. $\sqrt[3]{\frac{x-7}{3}}$
   4. $\frac{1}{7-3x^{3}}$
   5. $7x^{3}+3$
   
   
5. $f(x)=3x+1$ and $g(x)=5x-1$
   
   
   1. $15x+2$
   2. $15x$
   3. $15x^{2}+x+2$
   4. $15x+4$
   5. $15x-2$
   
   
6. Which quadrants of the xy-plane contain points of the graph of $3x-y>1$
   
   
   1. $I$, $II$ and $III$ only
   2. $I$, $II$ and $IV$ only
   3. $I$, $III$ and $IV$ only
   4. $II$ $III$ and $IV$ only
   5. $I$, $II$, $III$ and $III$ only
   
   
7. $(\sqrt{3}i)^{4}=$
   
   
   1. $9$
   2. $-9$
   3. $9i$
   4. $-9i$
   5. $-\sqrt{3}$
   
   
8. What are all real values of $x$ for which $\frac{2}{5-x}=\frac{1}{5}-\frac{1}{x}$
   
   
   1. $x=-5$ only
   2. $x=5$ only
   3. $x=-5$
   4. $x=-5$ and $x=0$
   5. $x=-5$ and $x=-5$
   
   
9. When $\frac{5+6i}{1+i}$ is expressed in the form $a+bi$, what is the value of $a$.
   
   
10. If $x$, $2x+1$ and $7x+5$ are the first three terms of an arithmetic progression, then $x=$
    
    
    1. $-\frac{3}{4}$
    2. $-3$
    3. $0$
    4. $\frac{7}{5}$
    5. $\frac{1}{5}$