Solving inequalities
Grades 6 to 9 (Years 7 to 11 in England) · 16 questions · Common Core: 6.EE.B.5, 6.EE.B.8, 7.EE.B.4.B, HSA.REI.B.3 · England: KS3 Algebra, GCSE Foundation Algebra, GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
Solve: 2x + 12 > 20
- A. x > 4
- B. x < 4
- C. x > 5
- D. x > 8
Question 2
Solve: x + (−3) ≥ −2
Answer
Question 3
What is the smallest whole number x that satisfies 3x + 10 > 43?
Answer
Question 4
Solve: −3x + 5 > 2
- A. x < 1
- B. x > 1
- C. x > −1
- D. x < −1
Question 5
How many integers x satisfy −8 ≤ 3x + 4 < 7?
Answer
Question 6
Which inequality matches? "The temperature stayed below 20 °C all day." (x is the amount)
- A. x > 20
- B. x < 20
- C. x ≥ 20
- D. x ≤ 20
Question 7
Which value is a solution of x ≤ 9?
- A. 8
- B. 10
- C. 13
Question 8
Solve: −3x ≤ 15
Answer
Question 9
Solve: 8x + 12 ≤ 68
Answer
Question 10
Solve: x / (−6) < −5
Answer
Question 11
Solve: −5x − 8 < −38
Answer
Question 12
Which value of x satisfies 5(x − 2) < 5?
- A. 6
- B. 3
- C. 0
- D. 4
Question 13
Solve: 4x + 6 < 38
- A. x < 8
- B. x < 9
- C. x < 32
- D. x > 8
Question 14
Solve: x + (−5) ≥ 5
Answer
Question 15
What is the smallest whole number x that satisfies 6x + 9 > 37?
Answer
Question 16
Solve: −5x + 1 < 1
- A. x > 0
- B. x < 0
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