EDGE Math 8

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

1.	$\frac{4 x - 12}{3 x - 3} \cdot \frac{x^{2} - 1}{x + 3}$

\frac{4 x^{2} - 2 x - 3}{3 x + 9}

\frac{4 x^{2} - 8 x - 12}{3 x + 9}

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

none of the choices

Answer: $\frac{4 x^{2} - 8 x - 12}{3 x + 9}$

2.	$\frac{2 x - 2}{8 x + 8} \cdot \frac{x^{2} + 2 x + 1}{{(x - 1)}^{3}}$

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

\frac{x + 1}{4 x^{2} - 8 x + 4}

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

none of the choices

Answer: $\frac{x + 1}{4 x^{2} - 8 x + 4}$

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

\frac{x - 4}{x - 3}

\frac{x - 3}{x - 4}

\frac{1}{x - 3}

none of the choices

Answer: none of the choices; the answer is 1

4.	$\frac{x^{2} - 3 x - 10}{x^{2} + 4 x + 4} \cdot \frac{x^{2} + 5 x + 6}{x^{2} - 10 x + 25}$

\frac{x + 3}{x + 5}

\frac{x - 3}{x - 5}

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

none of the choices

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

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

\frac{t + 3}{2 t - 6}

\frac{1}{2}

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

none of the choices

Answer: $\frac{t + 3}{2 t - 6}$

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