EDGE Math 8

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

1.	$\frac{2 x - 1}{x + 1} \div \frac{3}{2 x + 2}$

\frac{4 x - 1}{3}

\frac{2 x - 1}{3}

\frac{4 x - 2}{3}

none of the choices

Answer: $\frac{4 x - 2}{3}$

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

\frac{5 x - 2}{5 x - 4}

\frac{30 x - 12}{5 x - 4}

none of the choices

Answer: $\frac{30 x - 12}{5 x - 4}$

3.	$\frac{1 - 3 x}{9 x^{2} - 1} \div \frac{12 x + 8}{3 x + 1}$

- \frac{1}{12 x + 8}

8 - 12 x

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

none of the choices

Answer: $- \frac{1}{12 x + 8}$

4.	$\frac{p^{2} - 9}{p^{2} + 4 p + 3} \div \frac{{(3 - p)}^{2}}{6 p + 6}$

\frac{6}{p + 3}

\frac{- 6}{p - 3}

\frac{6}{p - 3}

none of the choices

Answer: $\frac{6}{p - 3}$

5.	$\frac{x^{2} - x}{{(x - 1)}^{3}} \div \frac{x^{3} (x + 1)}{x^{2} + 2 x + 1}$

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

\frac{1}{x^{3} - 2 x^{2} + x}

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

none of the choices

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

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