EDGE Math 8

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

1.	$\frac{3 y^{2} - 6 y}{{(y - 2)}^{5}} \div \frac{6 y^{2} (y - 3)}{y^{2} - 4 y + 4}$

\frac{1}{2 y (y - 2) (y - 3)}

\frac{1}{2 y^{4} - 14 y^{3} + 32 y^{2} - 24 y}

\frac{1}{2 y^{2} - 6 y}

none of the choices

Answer: $\frac{1}{2 y^{4} - 14 y^{3} + 32 y^{2} - 24 y}$

2.	$\frac{m^{2} + m - 2}{m^{2} - m - 2} \div \frac{m^{2} + 2 m - 3}{m^{2} - 2 m - 3}$

\frac{m^{2} - m - 6}{m^{2} + m - 6}

\frac{m + 2}{m - 2}

none of the choices

Answer: $\frac{m^{2} - m - 6}{m^{2} + m - 6}$

3.	$\frac{x^{2} + x - 6}{x^{2} - x - 2} \div \frac{x^{2} + 7 x + 12}{x^{2} + 2 x - 8}$

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

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

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

none of the choices

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

4.	$\frac{5 x + 20}{10 x + 20} \div \frac{10 x + 40}{x^{2} - 3 x - 10}$

\frac{x + 5}{10}

\frac{x - 5}{10}

\frac{x - 5}{20}

none of the choices

Answer: $\frac{x - 5}{20}$

5.	$\frac{3 t - 9}{5 t + 15} \div \frac{t^{2} - 9}{t^{2} - 2 t - 15}$

\frac{t - 5}{t + 3}

\frac{3 t - 15}{5 t + 15}

\frac{t + 5}{t + 3}

none of the choices

Answer: $\frac{3 t - 15}{5 t + 15}$

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