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Grade 8 · Algebraic Expressions
Expanding & Simplifying Algebraic Expressions
MEMORANDUM
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Mark
  / 17

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
    Expand: 5(x + 2)
    (1)
    5x + 10✓ (1)
  2. 2
    Expand: 4(2a − 3)
    (2)
    8a − 12✓✓ (2)
  3. 3
    Expand: 3x(x + 5)
    (2)
    3x2 + 15x✓✓ (2)
  4. 4
    Expand: −2(y − 4)
    (2)
    −2y + 8✓✓ (2)
  5. 5
    Expand and simplify: 3(x + 2) + 2(x + 1)
    (3)
    3x + 6 + 2x + 2 = 5x + 8✓✓✓ (3)
  6. 6
    Expand and simplify: 6 − 3(x − 2)
    (3)
    6 − 3x + 6 = −3x + 12✓✓✓ (3)
  7. 7
    Simplify: (10x2 + 5x) ÷ 5x, x ≠ 0
    (2)
    2x + 1✓✓ (2)
  8. 8
    Find the value of 4a − b if a = 3 and b = 5.
    (2)
    12 − 5 = 7✓✓ (2)
TOTAL: 17 marks
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