EDGE Math 8

Choose the correct answer to each question.

1.	At what values of x is the following equation undefined?

$\frac{3}{4 (x^{2} - 25)}$

5 and –5

4 and 25

4, 5, and 25

none of the choices

Answer: 5 and –5

2.	The equation below is undefined for all the given values of x except one of the values. Which value of x is it?

$\frac{x^{2} - 3 x + 2}{x (2 x^{2} + 5 x - 3)}$

–3

- \frac{1}{2}

\frac{1}{2}

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

3.	What is the simplest form of the following rational expression?

$\frac{54 x - 18}{60 x - 20}$

\frac{7}{10}

\frac{9}{10}

\frac{5}{6}

none of the choices

Answer: $\frac{9}{10}$

4.	What is the simplest form of the following rational expression?

$\frac{x^{4} - 16}{(2 - x) (x^{3} + 8)}$

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

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

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

none of the choices

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

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