EDGE Math 8

Perform the indicated operations and simplify the resulting expression. Choose the correct answer.

1.	$\frac{1}{3 x - 9} + \frac{2}{4 x - 12}$

\frac{5}{6 x - 3}

\frac{5}{2 (x - 3)}

\frac{5}{6 (x - 3)}

none of the choices

Answer: $\frac{5}{6 (x - 3)}$

2.	$\frac{4 x}{8 x + 32} + \frac{3 x}{4 x + 16}$

\frac{10 x}{x + 4}

\frac{5 x}{4 x + 4}

\frac{5 x}{4 (x + 4)}

none of the choices

Answer: $\frac{5 x}{4 (x + 4)}$

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

\frac{1}{(x + 2) (x - 1)}

\frac{9 x + 22}{(x + 2) (x - 1) (x + 3)}

\frac{1}{(x - 1) (x + 3)}

none of the choices

Answer: $\frac{9 x + 22}{(x + 2) (x - 1) (x + 3)}$

4.	$\frac{5}{x^{2} + x - 12} + \frac{2}{x^{2} - 6 x + 9}$

\frac{7 (x - 1)}{(x + 4) {(x - 3)}^{2}}

\frac{7}{(x + 4) (x - 3)}

\frac{7 x + 1}{(x + 4) (x - 3)}

none of the choices

Answer: $\frac{7 (x - 1)}{(x + 4) {(x - 3)}^{2}}$

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

\frac{4 x - 5}{(x + 2) (x - 2) (x + 1)}

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

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

none of the choices

Answer: $\frac{4 x - 5}{(x + 2) (x - 2) (x + 1)}$

6.	$\frac{6}{m^{2} - 1} - \frac{4}{m^{2} + 2 m + 1}$

\frac{2}{(m + 1) (m - 1)}

\frac{2 (m + 5)}{{(m + 1)}^{2} (m - 1)}

\frac{2}{{(m + 1)}^{2}}

none of the choices

Answer: $\frac{2 (m + 5)}{{(m + 1)}^{2} (m - 1)}$

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