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 $$|x - 2| \u003c 5$$ without absolute value bars.

Accepted Answer

$$-5 \u003c x - 2 \u003c 5$$

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 $$2x - 5 \u003e 9$$?

Accepted Answer

$$x \u003e 7$$

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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