EDGE Math 8

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Result

Choose the correct answer to each question.

1.	Which of the following rational expressions has the set of all real numbers except –1 and 1 as its domain?

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

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

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

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

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

2.	What is the domain of the rational expression $\frac{x - 2}{x^{2} + 4} ?$

The set of all real numbers

The set of all real numbers except 0

The set of all real numbers other than 4

The set of all real numbers except –2 and 2

Answer: The set of all real numbers

3.	Which of the following expressions is undefined when $x = 0 ?$

\frac{x}{3}

\frac{5}{x^{2} - x}

\frac{10}{x + 1}

\frac{1}{x - 10}

Answer: $\frac{5}{x^{2} >- x}$

4.	If you will apply the Zero Product Principle, which of the following equations has 3 as a solution?

x^{2} - 81 = 0

x^{3} + 27 = 0

x^{3} - x - 6 = 0

x^{3} + 6 x + 9 = 0

Answer: $x^{3} - x - 6 = 0$

5.	What is the prime factorization of 96?

16 \times 6

3 \times 32

2^{5} \times 3

2^{4} \times 6

Answer: $2^{5} \times 3$

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