Solving inequalities
Grades 6 to 9 (Years 7 to 11 in England) Β· 16 questions Β· Common Core: 6.EE.B.5, 6.EE.B.8, 7.EE.B.4.B, HSA.REI.B.3 Β· England: KS3 Algebra, GCSE Foundation Algebra, GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
Which value is a solution of x β€ β4?
- A. β4
- B. β3
- C. 0
Question 2
Solve: 7x β 1 < 41
Answer
Question 3
Which value of x satisfies 6(x β 1) β₯ 30?
- A. 7
- B. 2
- C. 4
- D. 5
Question 4
Solve: β5x + 11 < 6
Answer
Question 5
Solve: x / (β7) β€ β3
Answer
Question 6
What is the smallest whole number x that satisfies 6x + 11 > 11?
Answer
Question 7
Solve: β6x β 9 > 21
- A. x > 5
- B. x < 5
- C. x > β5
- D. x < β5
Question 8
Solve: β2x β€ 2
Answer
Question 9
Solve: 4x + 1 β€ 21
- A. x β₯ 5
- B. x β€ 6
- C. x β€ 5
- D. x β€ 20
Question 10
Which inequality matches? "The temperature stayed below 6 Β°C all day." (x is the amount)
- A. x > 6
- B. x < 6
- C. x β₯ 6
- D. x β€ 6
Question 11
How many integers x satisfy β6 < 2x β€ 2?
Answer
Question 12
Solve: x + 7 < 19
Answer
Question 13
Which value is a solution of x > 6?
- A. 10
- B. 5
- C. 6
- D. 3
Question 14
Solve: 5x β 15 > 10
Answer
Question 15
Which value of x satisfies 6(x β 1) < β6?
- A. β2
- B. 0
- C. 1
- D. 3
Question 16
Solve: β6x + 5 β€ β7
Answer
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