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Solve linear inequalities

7th grade (Year 8 in England) Β· 16 questions Β· Common Core: 7.EE.B.4.B Β· England: GCSE Foundation Algebra, GCSE Higher Algebra

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Date

Score/ 16

  1. Question 1

    What is the smallest whole number x that satisfies 7x + 8 > 24?

    Answer

  2. Question 2

    Solve: βˆ’5x βˆ’ 9 < 1

    • A. x > βˆ’2
    • B. x < 2
    • C. x < βˆ’2
    • D. x > 2
  3. Question 3

    Solve: 3x + 9 β‰₯ 39

    • A. x β‰₯ 30
    • B. x β‰₯ 11
    • C. x β‰₯ 10
    • D. x ≀ 10
  4. Question 4

    What is the smallest whole number x that satisfies 7x + 5 β‰₯ 14?

    Answer

  5. Question 5

    Solve: βˆ’5x βˆ’ 7 < βˆ’17

    • A. x < 2
    • B. x > 2
    • C. x > βˆ’2
    • D. x < βˆ’2
  6. Question 6

    Solve: 3x + 4 ≀ 4

    • A. x ≀ 0
    • B. x ≀ 1
    • C. x β‰₯ 0
  7. Question 7

    What is the smallest whole number x that satisfies 7x + 10 β‰₯ 18?

    Answer

  8. Question 8

    Solve: βˆ’5x βˆ’ 1 > βˆ’41

    • A. x > βˆ’8
    • B. x < βˆ’8
    • C. x < 8
    • D. x > 8
  9. Question 9

    Solve: 8x βˆ’ 10 β‰₯ βˆ’2

    • A. x β‰₯ 8
    • B. x β‰₯ 2
    • C. x β‰₯ 1
    • D. x ≀ 1
  10. Question 10

    What is the smallest whole number x that satisfies 4x + 11 β‰₯ 47?

    Answer

  11. Question 11

    Solve: βˆ’2x + 6 > βˆ’4

    • A. x < βˆ’5
    • B. x > βˆ’5
    • C. x > 5
    • D. x < 5
  12. Question 12

    Solve: 6x + 3 > βˆ’21

    • A. x > βˆ’4
    • B. x > βˆ’24
    • C. x < βˆ’4
    • D. x > βˆ’3
  13. Question 13

    What is the smallest whole number x that satisfies 6x + 14 > 48?

    Answer

  14. Question 14

    Solve: βˆ’5x βˆ’ 9 β‰₯ 21

    • A. x β‰₯ 6
    • B. x β‰₯ βˆ’6
    • C. x ≀ 6
    • D. x ≀ βˆ’6
  15. Question 15

    Solve: 3x βˆ’ 10 > βˆ’19

    • A. x > βˆ’2
    • B. x > βˆ’3
    • C. x < βˆ’3
    • D. x > βˆ’9
  16. Question 16

    What is the smallest whole number x that satisfies 6x + 15 β‰₯ 20?

    Answer

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Answer key: Solve linear inequalities

  1. 1. 3

  2. 2. A. x > βˆ’2

  3. 3. C. x β‰₯ 10

  4. 4. 2

  5. 5. B. x > 2

  6. 6. A. x ≀ 0

  7. 7. 2

  8. 8. C. x < 8

  9. 9. C. x β‰₯ 1

  10. 10. 9

  11. 11. D. x < 5

  12. 12. A. x > βˆ’4

  13. 13. 6

  14. 14. D. x ≀ βˆ’6

  15. 15. B. x > βˆ’3

  16. 16. 1