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Grade 8 · Algebraic Equations
Solving Algebraic Equations (Grade 8)
MEMORANDUM
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Mark
  / 15

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    Solve: x + 9 = 15
    (1)
    x = 6✓ (1)
  2. 2
    Solve: x − 4 = 10
    (1)
    x = 14✓ (1)
  3. 3
    Solve: 6x = 42
    (1)
    x = 7✓ (1)
  4. 4
    Solve: x ÷ 3 = 5
    (1)
    x = 15✓ (1)
  5. 5
    Solve: 2x + 7 = 19
    (2)
    2x = 12 → x = 6✓✓ (2)
  6. 6
    Solve: 5x − 3 = 22
    (2)
    5x = 25 → x = 5✓✓ (2)
  7. 7
    Solve: 3(x − 2) = 12
    (2)
    3x − 6 = 12 → 3x = 18 → x = 6✓✓ (2)
  8. 8
    Solve: x2 = 49
    (2)
    72 = 49 and (−7)2 = 49, so x = 7 or x = −7✓✓ (2)
  9. 9
    A number is doubled and 5 is added, giving 17. Find the number.
    (3)
    2x + 5 = 17 → 2x = 12 → x = 6✓✓✓ (3)
TOTAL: 15 marks
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