Solve multi-step inequalities, including reversing the sign
9th grade (Year 10 in England) · 16 questions · Common Core: HSA.REI.B.3 · England: GCSE Foundation Algebra, GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
What is the smallest integer that satisfies 2x ≥ −6?
Answer
Question 2
Solve: -3(x − 6) > −4x + 22
- A. x > −4
- B. x > 6
- C. x > 4
- D. x < 4
Question 3
Solve: 4x + 8 < 20
- A. x > 3
- B. x < −3
- C. x < 3
- D. x < 2
Question 4
What is the greatest integer that satisfies 6x + 9 < −3?
Answer
Question 5
Solve: 5(x − 3) ≤ 3x − 7
- A. x ≤ 4
- B. x ≥ 4
- C. x ≤ 6
- D. x ≤ −4
Question 6
Solve: 2x + 7 < 13
- A. x < 4
- B. x < 3
- C. x > 3
- D. x < 2
Question 7
What is the smallest integer that satisfies −3x + 4 < −14?
Answer
Question 8
Solve: -5(x − 6) > −3x + 28
- A. x < −1
- B. x < 1
- C. x < 3
- D. x > 1
Question 9
Solve: 3x + 2 < −1
- A. x > −1
- B. x < −1
- C. x < 0
- D. x < 1
Question 10
What is the smallest integer that satisfies 3x + 5 ≥ 8?
Answer
Question 11
Solve: 6(x + 3) ≥ 5x + 12
- A. x ≥ 6
- B. x ≥ −6
- C. x ≥ −4
- D. x ≤ −6
Question 12
Solve: −5x + 8 > 23
- A. x < 3
- B. x < −3
- C. x < −2
- D. x < −4
Question 13
What is the greatest integer that satisfies −2x − 6 > −24?
Answer
Question 14
Solve: -3(x + 4) ≤ 4x − 12
- A. x ≥ 2
- B. x ≥ 0
- C. x ≤ 0
Question 15
Solve: −5x − 8 ≤ 12
- A. x ≥ −3
- B. x ≥ 4
- C. x ≥ −4
- D. x ≥ −5
Question 16
What is the greatest integer that satisfies x − 5 ≤ −7?
Answer
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