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Grade 9 · Algebraic Expressions
Multiplying Binomials: (x + 2)(x + 3) and Beyond
MEMORANDUM
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  / 18

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: (x + 1)(x + 4)
    (2)
    x2 + 4x + x + 4 = x2 + 5x + 4✓✓ (2)
  2. 2
    Expand: (x + 3)(x + 6)
    (2)
    x2 + 9x + 18✓✓ (2)
  3. 3
    Expand: (x − 2)(x + 7)
    (2)
    x2 + 7x − 2x − 14 = x2 + 5x − 14✓✓ (2)
  4. 4
    Expand: (x − 3)(x − 5)
    (2)
    x2 − 5x − 3x + 15 = x2 − 8x + 15✓✓ (2)
  5. 5
    Expand: (2x + 1)(x + 4)
    (2)
    2x2 + 8x + x + 4 = 2x2 + 9x + 4✓✓ (2)
  6. 6
    Expand: (x + 4)2
    (2)
    x2 + 8x + 16✓✓ (2)
  7. 7
    Expand: (x − 6)2
    (2)
    x2 − 12x + 36✓✓ (2)
  8. 8
    Expand: (x + 9)(x − 9)
    (2)
    x2 − 81 (difference of two squares)✓✓ (2)
  9. 9
    Expand: (3x + 2)(3x − 2)
    (2)
    9x2 − 4✓✓ (2)
TOTAL: 18 marks
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