CLEP College Algebra Practice Questions -- (Algebraic operations)

1. If $n \ne 0$ , $(2)^{5n}(8)^{7n}(32)^{3n}$
   
   
   1. $(32)^{15n}$
   2. $(8)^{15n}$
   3. $(2)^{5n}$
   4. $(2)^{41n}$
   5. $(2)^{21n}$
   
   
2. $\sqrt{32}+5\sqrt{50}-5\sqrt{2}$
   
   
   1. $24\sqrt{2}$
   2. $24\sqrt{8}$
   3. $20\sqrt{2}$
   4. $4\sqrt{2}$
   5. $24\sqrt{32}$
   
   
3. $\sqrt{1125}+7\sqrt{180}-5\sqrt{5}$
   
   
   1. $5\sqrt{5}$
   2. $-5\sqrt{5}$
   3. $62\sqrt{5}$
   4. $62\sqrt{15}$
   5. $62\sqrt{3}$
   
   
4. $\sqrt[3]{\frac{-54}{-2}}$
   
   
   1. $3$
   2. $-3$
   3. $8$
   4. $-\sqrt{3}$
   5. $\sqrt{3}$
   
   
5. $\sqrt{3} \div \sqrt[5]{3}$
   
   
   1. $3^{5}$
   2. $\sqrt{3}$
   3. $\sqrt[10]{3}$
   4. $\sqrt[5]{3}$
   5. $\sqrt[10]{27}$
   
   
6. Simplify $\frac{4a^{0}}{(4a)^{0}}$
   
   
7. Simplify $\frac{6x^{5}+12x^{4}}{3x^{3}}$
   
   1. $2x^{2}+x$
   2. $2x^{2}+4$
   3. $2x(x+2)$
   4. $2x+4$
   5. $2x^{2}-4x$
   
   
8. Simplify $\frac{x^{2}-3x}{x^{2}-9}+\frac{3}{x+3}$
   
   
   1. $x^{2}-4x+4$
   2. $x-4$
   3. $x+4$
   4. $1$
   5. $\frac{1}{4}$
   
   
9. Simplify $\frac{\sqrt[3]{x}}{\sqrt[6]{x}}$
   
   
   1. $\sqrt{x^{6}}$
   2. $\sqrt[3]{x}$
   3. $\sqrt[6]{x}$
   4. $x^{3}$
   5. $x^{6}$
   
   
10. Simplify $\frac{x^{4}-y^{4}}{x^{2}+y^{2}}$
    
    
    1. $x^{2}+y^{2}$
    2. $x^{2}-y^{2}$
    3. $x^{2}y^{2}$
    4. $0$
    5. $2\frac{x^{2}-y^{2}}{x^{2}+y^{2}}$
    
    

    Answer Key

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