eurekami
Solve absolute value inequalities
11th grade (Year 12 in England) · 16 questions · Common Core: HSA.REI.B.3
Name
Date
Score/ 16
Question 1
Solve: |x − 2| < 5
- A. x < 7
- B. −7 < x < 3
- C. −3 < x < 7
- D. x ≤ −3 or x ≥ 7
Question 2
Solve: |4x + 8| ≤ 16
- A. −6 ≤ x ≤ 2
- B. −2 ≤ x ≤ 6
- C. x ≤ −6 or x ≥ 2
- D. −24 ≤ x ≤ 8
Question 3
Solve: |x + 3| ≥ 8
- A. x ≤ −11 or x ≥ 5
- B. −11 < x < 5
- C. x ≥ 5
- D. x ≤ −5 or x ≥ 11
Question 4
Solve: |3x − 6| ≤ 6
- A. 0 ≤ x ≤ 12
- B. 0 ≤ x ≤ 4
- C. −4 ≤ x ≤ 0
- D. x ≤ 0 or x ≥ 4
Question 5
Solve: |x − 2| ≥ 7
- A. −5 < x < 9
- B. x ≤ −5 or x ≥ 9
- C. x ≤ −9 or x ≥ 5
- D. x ≥ 9
Question 6
Solve: |3x + 15| ≤ 3
- A. x ≤ −6 or x ≥ −4
- B. 4 ≤ x ≤ 6
- C. −6 ≤ x ≤ −4
- D. −18 ≤ x ≤ −12
Question 7
Solve: |x| ≥ 3
- A. x ≥ 3
- B. −3 < x < 3
- C. x ≤ −3 or x ≥ 3
Question 8
Solve: |3x + 12| ≤ 3
- A. −15 ≤ x ≤ −9
- B. 3 ≤ x ≤ 5
- C. −5 ≤ x ≤ −3
- D. x ≤ −5 or x ≥ −3
Question 9
Solve: |x + 3| < 2
- A. 1 < x < 5
- B. x < −1
- C. x ≤ −5 or x ≥ −1
- D. −5 < x < −1
Question 10
Solve: |3x + 6| ≤ 6
- A. −4 ≤ x ≤ 0
- B. x ≤ −4 or x ≥ 0
- C. 0 ≤ x ≤ 4
- D. −12 ≤ x ≤ 0
Question 11
Solve: |x − 1| ≥ 4
- A. x ≤ −3 or x ≥ 5
- B. x ≤ −5 or x ≥ 3
- C. x ≥ 5
- D. −3 < x < 5
Question 12
Solve: |2x| ≤ 8
- A. −8 ≤ x ≤ 8
- B. x ≤ −4 or x ≥ 4
- C. −4 ≤ x ≤ 4
Question 13
Solve: |x + 1| < 7
- A. x < 6
- B. −6 < x < 8
- C. x ≤ −8 or x ≥ 6
- D. −8 < x < 6
Question 14
Solve: |3x + 15| ≤ 3
- A. 4 ≤ x ≤ 6
- B. −6 ≤ x ≤ −4
- C. x ≤ −6 or x ≥ −4
- D. −18 ≤ x ≤ −12
Question 15
Solve: |x + 6| < 8
- A. −14 < x < 2
- B. x < 2
- C. −2 < x < 14
- D. x ≤ −14 or x ≥ 2
Question 16
Solve: |3x + 3| ≤ 12
- A. −3 ≤ x ≤ 5
- B. −15 ≤ x ≤ 9
- C. −5 ≤ x ≤ 3
- D. x ≤ −5 or x ≥ 3
Write your answers right on the page. · Free from eurekami.com