EDGE Math 8

Simplify each rational expression. Choose the correct answer.

1.	$\frac{m^{2} - 16}{m^{2} + m - 12}$

\frac{m + 4}{m + 3}

\frac{m - 4}{m - 3}

\frac{m + 4}{m - 3}

none of the choices

Answer: $\frac{m - 4}{m - 3}$

2.	$\frac{x^{2} - 1}{x^{2} + 6 x - 7}$

\frac{x - 1}{x - 7}

\frac{x + 1}{x + 7}

\frac{x - 1}{x + 7}

none of the choices

Answer: $\frac{x + 1}{x + 7}$

3.	$\frac{2 x^{2} + 5 x}{4 x^{2} - 25}$

\frac{x}{2 x - 5}

\frac{x}{2 x + 5}

\frac{x}{x + 5}

none of the choices

Answer: $\frac{x}{2 x - 5}$

4.	$\frac{x^{2} + x - 20}{2 x^{2} + 11 x + 5}$

\frac{x + 4}{2 x - 1}

\frac{x + 4}{2 x + 1}

\frac{x - 4}{2 x + 1}

none of the choices

Answer: $\frac{x - 4}{2 x + 1}$

5.	$\frac{x^{3} - 1}{1 - x^{2}}$

\frac{x^{2} + x + 1}{x + 1}

\frac{x^{2} - x + 1}{x + 1}

\frac{x^{2} + x + 1}{x - 1}

none of the choices

Answer: $\frac{x^{2} + x + 1}{x + 1}$

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