EDGE Math 8

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

1.	$\frac{2 x}{3} \cdot \frac{x - 1}{5}$

\frac{2 x^{2} - 2}{15}

\frac{2 x^{2} - 1}{15}

\frac{2 x^{2} - 2 x}{15}

none of the choices

Answer: $\frac{2 x^{2} - 2 x}{15}$

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

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

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

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

none of the choices

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

3.	$\frac{x - 4}{5} \cdot \frac{x - 3}{5 x}$

\frac{x^{2} - 7 x - 12}{25 x}

\frac{x^{2} + 7 x + 12}{25 x}

\frac{x^{2} - 7 x + 12}{25 x}

none of the choices

Answer: $\frac{x^{2} - 7 x + 12}{25 x}$

4.	$\frac{a + 2}{a - 2} \cdot \frac{5 a - 10}{4 a + 8}$

\frac{5 a - 2}{4 a + 2}

\frac{6 a - 8}{5 a + 6}

\frac{6 a + 8}{5 a - 6}

none of the choices

Answer: none of the choices; the answer is $\frac{5}{4}$

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

x + 1

x - 1

\frac{1}{x - 1}

none of the choices

Answer: $x - 1$

6.	$\frac{4 x^{5}}{8 x^{3}} \cdot \frac{3 x + 6}{2 x + 4}$

\frac{x^{2}}{8}

\frac{3 x^{2}}{4}

\frac{x^{8}}{4}

none of the choices

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

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