Question 1

Which of the following is the solution to the equation $$2x - 5 = 9$$?

Accepted Answer

$$x = 7$$

Question 2

What is the slope of the line passing through the points $$(2, 3)$$ and $$(5, 11)$$?

Accepted Answer

$$m = 3$$

Question 3

Solve for $$x$$: $$3(x + 4) = 2x + 9.$$

Accepted Answer

$$x = 3$$

Question 4

Which of the following is the equation of a line with slope $$-2$$ and $$y-$$intercept $$5$$?

Accepted Answer

$$y = -2x + 5$$

Question 5

If $$f(x) = 2x^2$ - 3x + 1$$, what is $$f(-2)$$?

Accepted Answer

$$f(-2) = 19$$

Question 6

Which of the following points lies on the line $$y = \frac{1}{2}x - 3$$?

Accepted Answer

$$(4, -1)$$

Question 7

Solve the inequality: $$5x - 7 \u003c 3x + 1.$$

Accepted Answer

$$x \u003c 4$$

Question 8

Which of the following is the solution to the system: $$\begin{cases} x + y = 5 \ x - y = 1 \end{cases}$$?

Accepted Answer

$$(x, y) = (3, 2)$$

Question 9

A company’s profit $$P (in $$dollars) is given by $$P = 50x - 200$$, where $$x is $$the number of units sold. How many units must be sold for the company to break even?

Accepted Answer

$$x = 4$$

Question 10

Which of the following is the solution to $$|2x - 3| = 7$$?

Accepted Answer

$$x = 5, x = -2$$

Question 11

If the graph of a line passes through $$(0, -2)$$ and $$(4, 6)$$, what is its equation in slope-intercept form?

Accepted Answer

$$y = 2x - 2$$

Question 12

Which of the following is the solution to $$x^2 - 5x + 6 = 0$?

Accepted Answer

$$x = 2, x = 3$$

Question 13

A triangle has sides of length $$x$$, $$x+1$$, and $$x+2. If $$the perimeter is $$12$$, what is the length of the shortest side?

Accepted Answer

$$x = 3$$

Question 14

Which of the following is the solution to $$\frac{2x}{3} = 8$$?

Accepted Answer

$$x = 12$$

Question 15

If $$f(x) = x^2$ - 4x + 7$$, what is $$f(2)$$?

Accepted Answer

$$f(2) = 3$$

Question 16

Which of the following is the solution to $$3x + 2 = 2x + 7$$?

Accepted Answer

$$x = 5$$

Question 17

A car rental company charges a flat fee of $$\20$ plus $$\$$0.15$$ per mile driven. If a customer paid $$\50$, how many miles did they drive?

Accepted Answer

$$200$$

Question 18

Which of the following is the solution to $$2(x - 3) = x + 4$$?

Accepted Answer

$$x = 10$$

Question 19

If the line $$y = -x + 4 is $$graphed, which point does it pass through?

Accepted Answer

$$(2, 2)$$

Question 20

Solve for $$x$$: $$\frac{x}{4} + 3 = 7.$$

Accepted Answer

$$x = 16$$

College Algebra Study Guide: Graphs, Equations, and Algebraic Concepts

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