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Solve two-step inequalities

7th grade (Year 8 in England) · 16 questions · Common Core: 7.EE.B.4.B · England: KS3 Algebra, GCSE Foundation Algebra

Name

Date

Score/ 16

1
Question 1
Which value of x satisfies 5(x + 5) < 20?
- A. −1
- B. 0
- C. −3
- D. 2
Question 2
Solve: 4x − 14 ≥ −34
Answer
Question 3
Solve: −2x + 12 ≤ 8
Answer
4
Question 4
Which value of x satisfies 4(x + 3) ≥ −4?
- A. −6
- B. −8
- C. −5
- D. −4
Question 5
Solve: 6x + 6 > −18
Answer
Question 6
Solve: −3x + 7 ≤ 13
Answer
7
Question 7
Which value of x satisfies 6(x + 5) < 54?
- A. 4
- B. 2
- C. 7
- D. 5
Question 8
Solve: 9x + 15 ≥ 33
Answer
Question 9
Solve: −6x + 8 ≥ −22
Answer
10
Question 10
Which value of x satisfies 6(x − 1) < −18?
- A. −2
- B. −4
- C. −1
- D. 1
Question 11
Solve: 5x − 4 ≤ −9
Answer
Question 12
Solve: −5x + 6 ≥ 6
Answer
13
Question 13
Which value of x satisfies 2(x + 1) ≥ −6?
- A. −3
- B. −8
- C. −5
- D. −6
Question 14
Solve: 4x + 14 ≤ 2
Answer
Question 15
Solve: −2x + 8 > −6
Answer
16
Question 16
Which value of x satisfies 6(x + 2) ≥ 54?
- A. 8
- B. 3
- C. 6
- D. 5

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Answer key: Solve two-step inequalities

1. C. −3
2. x ≥ −5
3. x ≥ 2
4. D. −4
5. x > −4
6. x ≥ −2
7. B. 2
8. x ≥ 2
9. x ≤ 5
10. B. −4
11. x ≤ −1
12. x ≤ 0
13. A. −3
14. x ≤ −3
15. x < 7
16. A. 8