EDGE Math 8

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

1.	$\frac{y + 9}{y^{2} - 9} + \frac{1}{y + 3}$

\frac{2}{y - 3}

\frac{2 (y + 6)}{(y - 3) (y + 3)}

\frac{2 (y - 6)}{(y - 3) (y + 3)}

none of the choices

Answer: $\frac{2}{y - 3}$

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

\frac{3 x}{x + 5}

\frac{3 (x + 10)}{(x + 5) (x - 5)}

\frac{3}{x - 5}

none of the choices

Answer: $\frac{3}{x - 5}$

3.	$\frac{5 x + 1}{2 x - 8} + \frac{2 x - 3}{12 - 3 x}$

\frac{7 x + 2}{6 (x - 4)}

\frac{7 x - 2}{6 (x - 4)}

\frac{11 x + 9}{6 (x - 4)}

none of the choices

Answer: $\frac{11 x + 9}{6 (x - 4)}$

4.	$\frac{x + 4}{3 x - 6} - \frac{2 x - 7}{10 - 5 x}$

\frac{11 x - 1}{15 (x - 2)}

\frac{- x + 41}{15 (x - 2)}

- \frac{1}{15}

none of the choices

Answer: $\frac{11 x - 1}{15 (x - 2)}$

5.	$\frac{4}{x^{2} + 3 x - 4} + \frac{9}{x^{2} - 6 x + 5}$

\frac{13 x + 16}{(x + 4) (x - 1) (x - 5)}

\frac{13 x - 1}{(x + 4) (x - 1) (x - 5)}

\frac{13}{(x + 4) (x - 5)}

none of the choices

Answer: $\frac{13 x + 16}{(x + 4) (x - 1) (x - 5)}$

6.	$\frac{5}{x^{2} - x - 6} - \frac{2}{x^{2} + 7 x + 10}$

\frac{7 x - 21}{(x - 3) (x + 2) (x + 5)}

\frac{7}{(x + 2) (x + 5)}

\frac{3 x + 31}{(x - 3) (x + 2) (x + 5)}

none of the choices

Answer: $\frac{3 x + 31}{(x - 3) (x + 2) (x + 5)}$

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