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20 questions and an answer page, sized for A4.

Solve linear inequalities

Year 8 · Patterns & Algebra · 20 questions

Name
Date
  1. 1.
    Solve: 2x + 1 ≤ 9
    a)x ≥ 4b)x ≤ 4c)x ≤ 5d)x ≥ 8
  2. 2.
    Solve: 6x − 1 ≥ -13
    a)x ≤ -12b)x ≥ -2c)x ≥ -3d)x ≤ -2
  3. 3.
    Solve: 2x − 7 > -1
    a)x < 3b)x > 4c)x > 3d)x > -4
  4. 4.
    Solve: 2x − 5 > -3
    a)x > 1b)x < 2c)x < 1d)x > -4
  5. 5.
    Solve: 3x + 4 ≥ 4
    a)x ≥ 0b)x ≥ 1c)x ≤ 0d)x ≥ 4
  6. 6.
    Solve: 4x − 6 ≤ 18
    a)x ≤ 6b)x ≤ 0c)x ≤ 7d)x ≥ 24
  7. 7.
    Solve: 2x − 1 ≥ -7
    a)x ≤ -6b)x ≤ -3c)x ≥ -3d)x ≥ -4
  8. 8.
    Solve: 3x + 6 ≤ 21
    a)x ≤ 11b)x ≥ 15c)x ≥ 5d)x ≤ 5
  9. 9.
    Solve: 3x + 6 > -9
    a)x > -5b)x < -15c)x < -5d)x > 1
  10. 10.
    Solve: 3x − 1 ≥ 8
    a)x ≥ 3b)x ≤ 3c)x ≥ 2d)x ≥ 4
  11. 11.
    Solve: 5x − 2 > 18
    a)x > 2b)x > 4c)x < 4d)x < 20
  12. 12.
    Solve: 4x + 1 ≥ -11
    a)x ≤ -3b)x ≥ -3c)x ≥ -2d)x ≤ -12
  13. 13.
    Solve: 4x − 4 > 4
    a)x > -2b)x > 2c)x > 3d)x < 8
  14. 14.
    Solve: 4x + 5 ≤ 37
    a)x ≥ 32b)x ≤ 9c)x ≤ 13d)x ≤ 8
  15. 15.
    Solve: 3x + 9 ≥ 18
    a)x ≥ 3b)x ≤ 9c)x ≥ 12d)x ≥ 4
  16. 16.
    Solve: 3x + 6 ≥ 0
    a)x ≥ -1b)x ≥ 4c)x ≤ -2d)x ≥ -2
  17. 17.
    Solve: 2x + 6 ≤ -2
    a)x ≥ -4b)x ≤ -4c)x ≤ 2d)x ≥ -8
  18. 18.
    Solve: 6x + 5 > 23
    a)x > 3b)x < 18c)x < 3d)x > 8
  19. 19.
    Solve: 4x − 3 < 25
    a)x > 28b)x < 4c)x < 7d)x > 7
  20. 20.
    Solve: 5x − 5 ≤ -25
    a)x ≤ -9b)x ≤ -3c)x ≤ -4d)x ≥ -20

Free maths worksheets and practice: rocketdigits.com/learn/solve-linear-inequalities

Answers: Solve linear inequalities

  1. b) x ≤ 4
  2. b) x ≥ -2
  3. c) x > 3
  4. a) x > 1
  5. a) x ≥ 0
  6. a) x ≤ 6
  7. c) x ≥ -3
  8. d) x ≤ 5
  9. a) x > -5
  10. a) x ≥ 3
  11. b) x > 4
  12. b) x ≥ -3
  13. b) x > 2
  14. d) x ≤ 8
  15. a) x ≥ 3
  16. d) x ≥ -2
  17. b) x ≤ -4
  18. a) x > 3
  19. c) x < 7
  20. c) x ≤ -4

Free maths worksheets and practice: rocketdigits.com/learn/solve-linear-inequalities

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