Free Printable Absolute Value and Inequalities Review

Worksheets

Absolute Value and Inequalities Review

Total questions: 22

Worksheet time: 32mins

Name

Class

Date

What is the correct first step?

divide by 10

multiply by 10

make it two inequalities with an "or"

make it two inequalities with and "and

| 2x + 12 | < 8
Which is the correct first step?

2x + 12 < 8 and 2x+12 >-8

2x + 12 < 8 or 2x+12 >-8

2x + 12 < 8 and 2x+12 <-8

2x + 12 < 8 or 2x+12 >-8

What is the first step?

Get absolute value alone by subtracting 5 from both sides

Get absolute value alone by dividing by 5 on both sides

Split into two equations

Write an inequality for Graph 4.

-2 < x < 5

x < -2 or x > 5

x ≥ -2 OR x < 5

-2 ≤ x ≤ 5

Which compound inequality involves <, ≤ when solving absolute value inequalities?

and

Which compound inequality involves >,≥ when solving absolute value inequalities?

and

| x - 6 | < 4
Is this an "and" or an "or" problem?

and

| x - 2 | > 3
Is this an "and" or an "or" problem?

and

When you graph an inequality, you used a closed dot when you use which symbols?

≤, ≥

<, >

10.

When graphing an inequality, you use an open dot when you use which symbol?

<, >

≤, ≥

11.

What kind of compound inequality is this?

AND compound inequality

OR compound inequality

12.

v>5 or v<-5

v≥5 or v≤-5

v>-5 or v<5

all real numbers

13.

no solution

a> -1/6 or a< -5/6

a>1/2 or a< -3/2

all real numbers

14.

n > 1 or n < -7

n > -1 or n < -7

-7 < n < -1

no solution

15.

What inequality does the number line graph represent?

x > 5

x < −5

x ≥ 5

x ≥ −5

16.

10 ≥ x - 3

x ≤ 13

x ≥ 13

x ≤ 7

x ≥ 7

17.

What inequality is graphed?

-3 > x > 2

-3 < x > 2

x > 2 or x ≤ -3

x > 2 or x < -3

18.

Solve: -3 ≤ 2x - 1 ≤ 5

-1 ≤ x ≤ 3

-2 ≤ x ≤ 6

-3 ≤ x ≤ 3

1 ≤ x ≤ 3

19.

Solve:

3x + 2 < -4 or 4x + 4 > 24

x < -2 or x > 5

x < 2 or x > 5

-2 > x > 5

2 < x > 5

20.

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

5x + 2.50 ≤ 20

2.50x + 5 < 20

2.50x + 5 ≤ 20

7.50x < 20

21.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

2x + 10 ≥ 25

2x + 10 > 20

2x + 10 ≤ 25

2x + 10 < 25

22.

Translate the verbal phrase into an inequality:

An Iguana needs to live in a warm environment. The temperature in a pet Iguana's cage should range from 70 degrees to 95 degrees.

70 < x < 95

x > 95 or x < 70

x < 70 or x > 95

95 < x < 70

100 %

Absolute Value and Inequalities Review

Total questions: 22

Worksheet time: 32mins

Similar Resources on Wayground