Question 1

Solve for $$x$$: $$8x + 8 = 8x - 4$$

Accepted Answer

All real numbers

Question 2

Solve for $$x$$: $$3(x - 3) + 1x + 2(x) = 51$$

Accepted Answer

$$x = 9$$

Question 3

Solve for $$x$$: $$\dfrac{x}{2} + \dfrac{1}{3} = \dfrac{7}{6}$$

Accepted Answer

$$x = 2$$

Question 4

Solve for $$x$$: $$6 - 2x = 4x + 5x + 12$$

Accepted Answer

$$x = -\dfrac{2}{11}$$

Question 5

Solve for $$y in $$terms of $$x$$: $$2x - 3y = 6$$

Accepted Answer

$$y = \dfrac{2x - 6}{3}$$

Question 6

Given $$C = 5F - 32$$, solve for $$F in $$terms of $$C.$$

Accepted Answer

$$F = \dfrac{C + 32}{5}$$

Question 7

A department store marks up the wholesale price by 15\%. If the wholesale price of a pair of jeans is \$40, what is the retail price?

Accepted Answer

$$\46$

Question 8

A line has a slope of $$m = -2. $$Which of the following equations represents this line in slope-intercept form?

Accepted Answer

$$y = -2x + b$$

Question 9

Find the slope and $$y-$$intercept of the equation $$y = 3x - 6.$$

Accepted Answer

Slope: $$3$$, $$y-$$intercept: $$-6$$

Question 10

Which of the following graphs represents a function?

Accepted Answer

A graph that passes the vertical line test

Question 11

Find the domain of the function $$f(x) = \dfrac{x+5}{x-5}.$$

Accepted Answer

All real numbers except $$x = 5$$

Question 12

Given $$g(x) = \sqrt{x-3}$$, what is the domain of $$g(x)$$?

Accepted Answer

$$[3, \infty)$$

Question 13

If $$f(x) = x^2$ - 4$$, find and simplify $$f(2).$$

Accepted Answer

$$0$$

Question 14

A taxi company charges \$$150 per week plus \0.10 $$per mile to rent a car. If a customer paid \$200 for one week, how many miles did they drive?

Accepted Answer

$$500$$ miles

Question 15

Write the equation of the line passing through the point $$(2, -1)$$ with slope $$m = 3 in $$slope-intercept form.

Accepted Answer

$$y = 3x - 7$$

Question 16

Which of the following tables represents a function?

Accepted Answer

Each input has exactly one output

Question 17

Given the equation $$2x + y = 4$$, what is the slope of the line?

Accepted Answer

$$-2$$

Question 18

Which of the following best describes the slope of a horizontal line?

Accepted Answer

Zero

Question 19

If $$f(x) = x^2$ - 2x$$, find $$f(a + 1)$$ and simplify.

Accepted Answer

Question 20

Given the equation $$y = -\dfrac{1}{2}x + 3$$, what is the $$y-$$intercept?

Accepted Answer

$$3$$

College Algebra: Equations, Graphs, and Functions – Study Guide

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