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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. math exams: CLEP College Algebra Practice Questions - 3

Sunday, June 26, 2011

CLEP College Algebra Practice Questions - 3

  1. The reduced form of $\sqrt{162x^{11}y^{17}}$ is:

    1. $18x^{5}y^{8}\sqrt{2xy}$
    2. $9x^{5}y^{8}\sqrt{2} $
    3. $3x^{5}y^{8}\sqrt{2xy} $
    4. $9x^{4}y^{4}\sqrt{2xy}$
    5. $9x^{5}y^{8}\sqrt{2xy}$

  2. $\frac{2\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}$ is equal to:

    1. $-2$
    2. $1 $
    3. $\frac{2x-y}{x-y} $
    4. $ \frac{2x-\sqrt{xy}+y}{x-y} $
    5. $\frac{2x-3\sqrt{xy}+y}{x-y} $

  3. Solve the equation: $2x^{6}+52x^{3}-54=0$

    1. $-27$, $1$
    2. $+3 $, $-1$
    3. $-3 $
    4. $1 $, $27$
    5. $-3 $

  4. The reduced form of $\frac{\frac{1}{x+y}-\frac{1}{y}}{x}$ is

    1. $0$
    2. $1$
    3. $\frac{1}{xy+y^{2}}$
    4. $-\frac{1}{xy+y^{2}} $
    5. $xy+y^{2} $

  5. Solve the equation: $\frac{1}{x-2}+\frac{1}{x+2}=\frac{1}{x^{2}-4}$

    1. $-\frac{1}{2}$
    2. $\frac{1}{2} $
    3. $\frac{1}{4} $
    4. $ 2$
    5. $1 $

  6. Which factors $5x^{3}-3x^{2}-20x+12$ completely?

    1. $(5x+3)(x+2)^{2}$
    2. $(5x-3)(x+4)(x-1) $
    3. $(5x+3)(x^{2}-4) $
    4. $(5x^{2}+3)(x-4) $
    5. $(5x-3)(x^{2}+4) $

  7. Reduced $(\frac{7a^{-5}}{5c^{\frac{1}{2}}})^{-1}$

    1. $\sqrt{\frac{7a^{5}}{5c}}$
    2. $\frac{-14a^{5}}{5c}$
    3. $\frac{7a^{5}\sqrt{c}}{5}$
    4. $ \frac{5a^{5}}{7\sqrt{c}}$
    5. $ \frac{5}{7}a^{5}\sqrt{c}$








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