EDGE Math 8

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

1.	$\frac{3 a}{5} \div \frac{4}{7}$

\frac{12 a}{35}

\frac{21 a}{20}

\frac{35}{12 a}

none of the choices

Answer: $\frac{21 a}{20}$

2.	$\frac{x - 6}{x - 3} \div \frac{x - 1}{x + 2}$

\frac{x^{2} - 7 x + 6}{x^{2} - x - 6}

\frac{x^{2} - 4 x - 12}{x^{2} - 4 x + 3}

x - 1

none of the choices

Answer: $\frac{x^{2} - 4 x - 12}{x^{2} - 4 x + 3}$

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

\frac{1}{m + 1}

m + 1

\frac{1}{m^{2} + 4 m + 4}

none of the choices

Answer: $\frac{1}{m + 1}$

4.	$\frac{3 b^{2}}{b - 1} \div \frac{12 b}{{(b - 1)}^{3}}$

\frac{36 b^{3}}{{(b - 1)}^{4}}

\frac{b^{3} - 2 b^{2} + b}{4}

\frac{b^{2} - 2 b + b}{4}

none of the choices

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

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

\frac{16}{x^{2} - 10 x + 25}

\frac{4}{x^{2} - 7 x + 10}

\frac{4}{x^{2} + 10 x + 25}

none of the choices

Answer: $\frac{16}{x^{2} - 10 x + 25}$

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

\frac{x + 3}{2}

2 x + 3

2 x + 6

none of the choices

Answer: $2 x + 6$

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