Solving and Graphing Linear Inequalities Review

One-Step Inequalities

100

Solve the inequality. Graph your solution.

x + 5 > -13

What is x > -18

200

Solve the inequality. Graph your solution.

m - 9 ≥ -4

What is m ≥ 5

300

Solve the inequality. Graph your solution.

p / 2 ≤ 5

What is p ≤ 10

400

Solve the inequality. Graph your solution.

-3x > 27

What is x < -9

500

In men's gymnasics, an athlete competes in 6 events. Suppose that an athlete's average score per event is at most 9.7 points. Write and solve an inequality to find the possible total scores for the athlete. 

What is x/6 ≤ 9.7, at most 58.2 points 

Multi-Step Inequalities

100

Solve the inequality, if possible. Graph your solution.

2g + 11 < 25

What is g < 7

200

Solve the inequality, if possible. Graph your solution.

1 - 3x ≤ -14 + 2x

What is x ≥ 3

300

Solve the inequality, if possible. Graph your solution.

-3(2n - 1) ≥ 1 - 8n

What is n ≥ -1

400

Solve the inequality, if possible. Graph your solution.

8(t - 1) > -8 + 8t

What is no solution

500

Solve the inequality, if possible. Graph your solution.

3(q + 1) < 3q + 7

What are all real numbers

Compound Inequalities

100

Solve the inequality. Graph your solution.

-1 < -2x + 7 < 9

What is -1 < x < 4

200

Solve the inequality. Graph your solution.

-6 ≤ 2t - 5 ≤ -3

What is -1/2 ≤ t ≤ 1

300

Solve the inequality. Graph your solution.

-3 < -3x + 8 < 11

What is -1 < x < 11/3

400

Solve the inequality. Graph your solution.

9s - 6 < 12 or 

3s + 1 > 13

What is s < 2 or s > 4

500

Solve the inequality. Graph your solution.

-4w + 12 ≥ 10 

or 5w - 14 > -4

What is w ≤ 1/2 or w > 2

Absolute Value Equations

100

Solve the equation, if possible.

|r| = 7

What is 7, -7

200

Solve the equation, if possible.

|a + 6| = 2

What is -4, -8

300

Solve the equation, if possible.

|2c + 5| = 21

What is 8, -13

400

Solve the equation, if possible.

2|x - 3| + 1 = 5

What is 5, 1

500

Solve the equation, if possible.

3|2q + 1| - 5 = 1

What is 0.5, -1.5

Absolute Value and Linear Inequalities

100

Solve the inequality. Graph your solution.

|m| ≥ 8

What is m ≥ 8 or m ≤ -8

200

Solve the inequality. Graph your solution.

|3g - 2| < 5

What is -1 < g < 7/3

300

Solve the inequality. Graph your solution.

5|d + 8| - 7 > 13

What is d < -12 or d > -4

400

Tell whether the ordered pair is a solution of 

-3x + 2y ≥ 16

(-2, 8)

What is solution

500

Tell whether the ordered pair is a solution of 

-3x + 2y ≥ 16

(-1, -1)

What is not a solution