Question 1

Which of the following values for $x$ will make the denominator of the expression $\frac{5}{x-3}$ equal to zero?

Accepted Answer

$x = 3$

Question 2

Given the equation $2x + 7 = 15$, what is the value of $x$?

Accepted Answer

$x = 4$

Question 3

Which of the following best describes the equation $x^2 + 5x + 6 = 0$?

Accepted Answer

Quadratic equation

Question 4

The area of a rectangular wall of a barn is $120$ square feet. Its length is $4$ feet longer than its width. What is the width of the wall?

Accepted Answer

$6$ feet

Question 5

Solve for $x$: $3x - 7 = 2x + 5$

Accepted Answer

$x = 12$

Question 6

Which value of $x$ makes the denominator of $\frac{2x}{x^2 - 9}$ undefined?

Accepted Answer

Both $x = 3$ and $x = -3$

Question 7

Rewrite the inequality $|x - 2| < 5$ without absolute value bars.

Accepted Answer

$-5 < x - 2 < 5$

Question 8

Solve for $x$: $|2x + 1| = 7$

Accepted Answer

$x = 3$ or $x = -4$

Question 9

Which of the following is a solution to the inequality $2x - 5 > 9$?

Accepted Answer

$x > 7$

Question 10

A chemist mixes a solution with a concentration of $x$ grams per liter. If the total amount of solute is $20$ grams and the volume is $4$ liters, what is the value of $x$?

Accepted Answer

$x = 5$

Question 11

Solve for $x$: $\frac{2x + 3}{x - 1} = 5$

Accepted Answer

$x = 2$

Question 12

Which of the following equations represents a linear equation?

Accepted Answer

$y = 2x + 1$

Question 13

If $f(x) = 3x - 4$, what is $f(2)$?

Accepted Answer

$2$

Question 14

Which of the following is the solution to $x^2 - 9 = 0$?

Accepted Answer

$x = 3$ or $x = -3$

Question 15

A rectangular garden has a length that is twice its width. If the perimeter is $36$ meters, what is the width?

Accepted Answer

$6$ meters

Equations and Inequalities: College Algebra Quiz Study Guide

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