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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

  1. Question 1

    Which value is a solution of x ≀ βˆ’4?

    βˆ’10βˆ’8βˆ’6βˆ’202βˆ’4
    • A. βˆ’4
    • B. βˆ’3
    • C. 0
  2. Question 2

    Solve: 7x βˆ’ 1 < 41

    Answer

  3. Question 3

    Which value of x satisfies 6(x βˆ’ 1) β‰₯ 30?

    • A. 7
    • B. 2
    • C. 4
    • D. 5
  4. Question 4

    Solve: βˆ’5x + 11 < 6

    Answer

  5. Question 5

    Solve: x / (βˆ’7) ≀ βˆ’3

    Answer

  6. Question 6

    What is the smallest whole number x that satisfies 6x + 11 > 11?

    Answer

  7. Question 7

    Solve: βˆ’6x βˆ’ 9 > 21

    • A. x > 5
    • B. x < 5
    • C. x > βˆ’5
    • D. x < βˆ’5
  8. Question 8

    Solve: βˆ’2x ≀ 2

    Answer

  9. Question 9

    Solve: 4x + 1 ≀ 21

    • A. x β‰₯ 5
    • B. x ≀ 6
    • C. x ≀ 5
    • D. x ≀ 20
  10. 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 ≀ 6
  11. Question 11

    How many integers x satisfy βˆ’6 < 2x ≀ 2?

    βˆ’6βˆ’5βˆ’4βˆ’2βˆ’10234βˆ’31

    Answer

  12. Question 12

    Solve: x + 7 < 19

    Answer

  13. Question 13

    Which value is a solution of x > 6?

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    • A. 10
    • B. 5
    • C. 6
    • D. 3
  14. Question 14

    Solve: 5x βˆ’ 15 > 10

    Answer

  15. Question 15

    Which value of x satisfies 6(x βˆ’ 1) < βˆ’6?

    • A. βˆ’2
    • B. 0
    • C. 1
    • D. 3
  16. Question 16

    Solve: βˆ’6x + 5 ≀ βˆ’7

    Answer

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Answer key: Solving inequalities

  1. 1. A. βˆ’4

  2. 2. x < 6

  3. 3. A. 7

  4. 4. x > 1

  5. 5. x β‰₯ 21

  6. 6. 1

  7. 7. D. x < βˆ’5

  8. 8. x β‰₯ βˆ’1

  9. 9. C. x ≀ 5

  10. 10. B. x < 6

  11. 11. 4

  12. 12. x < 12

  13. 13. A. 10

  14. 14. x > 5

  15. 15. A. βˆ’2

  16. 16. x β‰₯ 2