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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
How many integers x satisfy −9 ≤ 4x + 3 < −1?
Answer
2
Question 2
Which inequality matches? "The temperature stayed below 7 °C all day." (x is the amount)
- A. x > 7
- B. x < 7
- C. x ≥ 7
- D. x ≤ 7
Question 3
Solve: −6x − 11 > −47
Answer
4
Question 4
Solve: 2x + 11 ≥ 27
- A. x ≥ 8
- B. x ≤ 8
- C. x ≥ 9
- D. x ≥ 16
Question 5
Solve: x + (−11) > −12
Answer
6
Question 6
Which value is a solution of x > 9?
- A. 6
- B. 8
- C. 9
- D. 10
7
Question 7
Solve: −2x + 5 > 15
- A. x > 5
- B. x < −5
- C. x > −5
- D. x < 5
8
Question 8
Which value of x satisfies 2(x + 4) ≥ 12?
- A. 1
- B. −2
- C. 2
- D. 0
Question 9
What is the smallest whole number x that satisfies 3x + 4 > 44?
Answer
Question 10
Solve: −4x < −16
Answer
Question 11
Solve: x / (−3) ≥ 1
Answer
Question 12
Solve: 9x + 3 ≤ 93
Answer
Question 13
How many integers x satisfy 12 ≤ 4x + 4 ≤ 32?
Answer
14
Question 14
Which inequality matches? "More than 11 people came to the concert." (x is the amount)
- A. x > 11
- B. x < 11
- C. x ≥ 11
- D. x ≤ 11
Question 15
Solve: −6x + 9 ≥ −15
Answer
16
Question 16
Solve: 4x + 10 ≥ 42
- A. x ≥ 8
- B. x ≥ 9
- C. x ≥ 32
- D. x ≤ 8

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