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CHAPTER 6 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

Find the product: $2 x {(2 x - 3)}^{2}$ .
The following equation is used in electricity.

Solve for $R_{1} : \frac{1}{R} = \frac{1}{R_{1} + r} + \frac{1}{R_{2}}$
Reduce to simplest form: $\frac{2 x^{2} + 5 x - 3}{2 x^{2} + 12 x + 18}$
Factor: $4 x^{2} - 16 y^{2}$
Factor: $p b^{3} + 8 a^{3} p$ (business application)
Factor: $2 a - 4 T - b a + 2 b T$
Factor: $36 x^{2} + 14 x - 16$

In problems 8–10, perform the indicated operations and simplify.

$\frac{3}{4 x^{2}} - \frac{2}{x^{2} - x} - \frac{x}{2 x - 2}$
$\frac{x^{2} + x}{2 - x} \div \frac{x^{2}}{x^{2} - 4 x + 4}$
$\frac{1 - \frac{3}{2 x + 2}}{\frac{x}{5} - \frac{1}{2}}$
If one riveter can do a job in 12 days, and a second riveter can do it in 16 days, how long would it take for them to do it together?
Solve for $x : \frac{3}{2 x^{2} - 3 x} + \frac{1}{x} = \frac{3}{2 x - 3}$

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