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Grade 9 · Equations
Solving Linear Equations: Every Type in the Exam
WORKSHEET
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  / 28

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Solve x + 9 = 15 (one-step)
    (2)
  2. 2
    Solve 4x = 32 (one-step)
    (2)
  3. 3
    Solve 3x + 7 = 22 (two-step)
    (2)
  4. 4
    Solve 5x − 4 = 21 (two-step)
    (2)
  5. 5
    Solve 6x − 5 = 2x + 11 (both sides)
    (2)
  6. 6
    Solve 7x + 3 = 4x + 18 (both sides)
    (2)
  7. 7
    Solve 2(x + 4) = 18 (brackets)
    (2)
  8. 8
    Solve 5(x − 3) = 2(x + 3) (brackets)
    (2)
  9. 9
    Solve 10 − 3x = 1 (negative x)
    (2)
  10. 10
    Solve 12 − 5x = 2x − 2 (negative + both sides)
    (2)
  11. 11
    Solve x⁄3 + x⁄6 = 3 (fractions)
    (2)
  12. 12
    Solve x⁄4 − 1 = 2 (fractions)
    (2)
  13. 13
    A number doubled and then increased by 5 gives 23. Find it. (word problem)
    (2)
  14. 14
    Five less than four times a number is 27. Find it. (word problem)
    (2)
TOTAL: 28 marks
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