eurekami

Absolute value equations and inequalities

12th grade (Year 13 in England) · 16 questions · Common Core: HSA.REI.B.3, HSA.CED.A.1

Name

Date

Score/ 16

1
Question 1
Solve: |x − 4| > 5
- A. x < 9
- B. −9 < x < 1
- C. −1 < x < 9
- D. x < −1 or x > 9
Question 2
Solve: |x − 1| = 4. Give both solutions, separated by a comma.
x =
3
Question 3
Solve: |x − 5| > 2
- A. x < 7
- B. x < 3 or x > 7
- C. 3 < x < 7
- D. −7 < x < −3
Question 4
Solve: |3x + 21| = 9. Give both solutions, separated by a comma.
x =
5
Question 5
Solve: |x + 6| > 1
- A. −7 < x < −5
- B. x < −5
- C. x < −7 or x > −5
- D. 5 < x < 7
Question 6
Solve: |x − 4| = 4. Give both solutions, separated by a comma.
x =
7
Question 7
Solve: |x − 5| < 5
- A. x < 10
- B. x < 0 or x > 10
- C. 0 < x < 10
- D. −10 < x < 0
Question 8
Solve: |x + 10| = 4. Give both solutions, separated by a comma.
x =
9
Question 9
Solve: |x + 1| > 6
- A. x < −7 or x > 5
- B. x < 5
- C. −7 < x < 5
- D. −5 < x < 7
Question 10
Solve: |x + 4| = 1. Give both solutions, separated by a comma.
x =
11
Question 11
Solve: |x + 4| < 3
- A. x < −7 or x > −1
- B. −7 < x < −1
- C. 1 < x < 7
- D. x < −1
Question 12
Solve: |2x + 10| = 6. Give both solutions, separated by a comma.
x =
13
Question 13
Solve: |x − 1| < 1
- A. 0 < x < 2
- B. x < 0 or x > 2
- C. x < 2
- D. −2 < x < 0
Question 14
Solve: |2x − 4| = 6. Give both solutions, separated by a comma.
x =
15
Question 15
Solve: |x − 5| < 7
- A. −2 < x < 12
- B. x < 12
- C. x < −2 or x > 12
- D. −12 < x < 2
Question 16
Solve: |2x + 4| = 6. Give both solutions, separated by a comma.
x =

All done? Color in the animal! · Free from eurekami.com/math

for the adult only

Answer key: Absolute value equations and inequalities