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
Solve: −5x + 7 ≥ 22
- A. x ≤ −4
- B. x ≥ −3
- C. x ≤ −2
- D. x ≤ −3
Question 2
Solve: 3(x − 1) ≥ 4x
- A. x ≤ −3
- B. x ≥ −3
- C. x ≤ 3
- D. x ≤ −1
Question 3
What is the greatest integer that satisfies 6x + 6 < 48?
Answer
Question 4
Solve: −6x − 10 ≥ 2
- A. x ≤ −3
- B. x ≥ −2
- C. x ≤ −2
- D. x ≤ 2
Question 5
Solve: 2(x + 3) ≤ x + 6
- A. x ≤ 0
- B. x ≤ 2
- C. x ≥ 0
Question 6
What is the smallest integer that satisfies −5x − 2 ≤ 3?
Answer
Question 7
Solve: 5x + 6 < 31
- A. x < −5
- B. x < 5
- C. x < 6
- D. x > 5
Question 8
Solve: 6(x − 1) ≥ −5x + 27
- A. x ≤ 3
- B. x ≥ 3
- C. x ≥ −3
- D. x ≥ 5
Question 9
What is the smallest integer that satisfies −6x + 4 < 40?
Answer
Question 10
Solve: −2x + 9 < 9
- A. x > 1
- B. x > −1
- C. x > 0
- D. x < 0
Question 11
Solve: -5(x − 2) < −2x + 25
- A. x > −3
- B. x < −5
- C. x > −5
- D. x > 5
Question 12
What is the greatest integer that satisfies −5x − 10 > −30?
Answer
Question 13
Solve: −x − 10 ≤ −13
- A. x ≥ 2
- B. x ≥ 3
- C. x ≥ 4
- D. x ≥ −3
Question 14
Solve: 2(x + 4) > 3x + 1
- A. x > 7
- B. x < 7
- C. x < 9
- D. x < −7
Question 15
What is the smallest integer that satisfies −2x + 2 ≤ 2?
Answer
Question 16
Solve: x + 2 > 0
- A. x < −2
- B. x > −1
- C. x > −3
- D. x > −2
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