$$(-5, -3) 5 (-3, 3) 5 (3, 5)$$

Question 1

Which of the following correctly expresses the solution set for the inequality $$|x + 3| \u003e 5 in $$interval notation?

Accepted Answer

$$(- 8, -8)  5 (2,  5)$$

Question 2

Simplify the expression $$\sqrt{72} - \sqrt{18} + \sqrt{8}.$$

Accepted Answer

$$5\sqrt{2}$$

Question 3

Which of the following is the domain of $$f(x) = \sqrt{x+1} / (x-2) in $$interval notation?

Accepted Answer

$$[-1, 2)  5 (2,  5)$$

Question 4

Which of the following equations does NOT represent $$y as a $$function of $$x$$?

Accepted Answer

$$x = y^2$

Question 5

Evaluate $$8^{2/3}.$$

Accepted Answer

$$4$$

Question 6

A relation is given as $$\{(0, 1), (1, 2), (2, 1), (3, 4)\}. Is it a $$function? Is it one-to-one?

Accepted Answer

It IS a function, but NOT one-to-one.

Question 7

Which of the following is the correct interval notation for the solution to $$5 - 3x \geq 11$$?

Accepted Answer

$$(- 5, -2]$$

Question 8

Which of the following is the correct simplification for $$\frac{3}{2 - \sqrt{3}}$$?

Accepted Answer

$$6 + 3\sqrt{3}$$

Question 9

Which of the following is the domain of $$g(x) = \sqrt{4 - x}$$?

Accepted Answer

$$(- 5, 4]$$

Question 10

Which of the following is the correct interval notation for the solution to $$|3 - 2x| \geq 9$$?

Accepted Answer

$$(- 5, -3]  5 [6,  5)$$

Question 11

Which of the following is the correct simplification for $$\frac{1}{\sqrt{2}}$$?

Accepted Answer

$$\frac{\sqrt{2}}{2}$$

Question 12

Which of the following is the correct domain for $$f(x) = \sqrt{2x + 6} / (x - 1)$$?

Accepted Answer

$$[-3, 1)  5 (1,  5)$$

Question 13

Which of the following is the correct simplification for $$\sqrt{50}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 14

Which of the following is the correct interval notation for the solution to $$|x - 4| \u003c 2$$?

Accepted Answer

$$(2, 6)$$

Question 15

Which of the following is the correct simplification for $$(x^{1/2}$$ \cdot $$x^{3/2}$$) / $$x^{1/4}$$?

Accepted Answer

$$x^{7/4}$$

Question 16

Which of the following is the correct range for $$f(x) = -x^2$ + 6x - 5$$?

Accepted Answer

$$(- 5, 4]$$

Question 17

Which of the following is the correct interval notation for the solution to $$3x - 7 \u003e 2x + 4$$?

Accepted Answer

$$(11,  5)$$

Question 18

Which of the following is the correct simplification for $$\frac{2}{\sqrt{5} + \sqrt{3}}$$?

Accepted Answer

$$\sqrt{5} - \sqrt{3}$$

Question 19

Which of the following is the correct domain for $$m(x) = \frac{1}{x^2$ - 9}$$?

Accepted Answer

$$(- 5, -3)  5 (-3, 3)  5 (3,  5)$$

Precalculus Fundamentals: Study Guide and Practice Problems

Study Guide - Practice Questions