EDGE Math 8

Simplify each complex rational expression. Choose the correct answer.

1.	$\frac{\frac{3}{x + 7} + \frac{5}{x - 2}}{\frac{6}{x - 2} - \frac{4}{x + 7}}$

\frac{8 x + 29}{2 (x + 25)}

\frac{10 x + 50}{2 (x + 25)}

\frac{5}{2}

none of the choices

Answer: $\frac{8 x + 29}{2 (x + 25)}$

2.	$\frac{\frac{10 x^{2} + 26 x + 12}{4 x^{2} - 9} - \frac{5 x + 1}{2 x - 3}}{\frac{9}{4 x^{2} - 9}}$

\frac{5 x^{2} + 9}{9}

\frac{10 x^{2} - 9}{9}

x + 1

none of the choices

Answer: $x + 1$

3.	$\frac{x + 8}{\frac{3 x - 4}{5} + \frac{3 x + 2}{25}}$

\frac{25 (x + 8)}{18 (x - 1)}

\frac{25 x}{18 x - 18}

\frac{6 x - 18}{18 x - 1}

none of the choices

Answer: $\frac{25 (x + 8)}{18 (x - 1)}$

4.	$\frac{\frac{3}{4 x + 1} - \frac{8 x - 2}{16 x^{2} - 1}}{\frac{3 x - 2}{4 x + 1}}$

\frac{4 x - 1}{3 x - 2}

\frac{3 x - 2}{4 x - 1}

\frac{1}{3 x - 2}

none of the choices

Answer: $\frac{1}{3 x - 2}$

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