Unit 3 · Test

Unit 3 test: Solving Inequalities

14 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers all of the Solving Inequalities unit: writing and graphing inequalities, one- and two-step inequalities, multi-step inequalities, compound inequalities, and absolute value inequalities.

Question 1

You must be at least $18$ years old to vote. Which inequality describes the ages $a$ of people who can vote?

Question 2

Write the inequality shown by the graph.

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 3

Solve $x + 9 \ge 4$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 4

Solve $-3x < 21$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 5

Solve $11 - 4x \le 3$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 6

Sam has $15 saved and earns $8 per hour at a part-time job. What is the least number of whole hours Sam must work to have at least $95?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

Solve $3(x - 4) + 2 > x + 6$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 8

Solve $\dfrac{x}{4} - 1 < \dfrac{x}{6} + 1$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 9

Solve $5x - 2(x + 1) \le 3x + 4$ .

Question 10

Solve $-9 < 4x - 1 \le 11$ . The answer has the form $a < x \le b$ . Enter $a$ and $b$ , smaller first.

Separate answers with commas, e.g. 2, -5

Question 11

Solve $3 - x > 5$ or $2x \ge 8$ .

Question 12

Solve $|x + 1| \le 6$ .

Question 13

Solve $|2x - 3| > 5$ .

Question 14

Solve $4|x - 2| - 1 < 11$ . The answer has the form $a < x < b$ . Enter $a$ and $b$ , smaller first.

Separate answers with commas, e.g. 2, -5