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Grade 10 · Algebraic Expressions
Algebraic Fractions: Simplify, Add & Subtract (Grade 10)
MEMORANDUM
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Mark
  / 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
    Simplify: x2 − 16x + 4
    (2)
    x − 4✓✓ (2)
  2. 2
    Simplify: x2 − 25x − 5
    (2)
    x + 5✓✓ (2)
  3. 3
    Simplify: x2 + 5x + 6x2 − 4
    (2)
    x + 3x − 2✓✓ (2)
  4. 4
    Simplify: 6x23x
    (2)
    2x✓✓ (2)
  5. 5
    Simplify: x2 − 1x ÷ x + 13x
    (2)
    3(x − 1)✓✓ (2)
  6. 6
    Simplify: 1x + 1y
    (2)
    y + xxy✓✓ (2)
  7. 7
    Simplify: 2x + 1 + 3x − 1
    (2)
    5x + 1x2 − 1✓✓ (2)
  8. 8
    Simplify: x − 2x3 − 8
    (2)
    1x2 + 2x + 4✓✓ (2)
  9. 9
    Simplify: x + 3x3 + 27
    (2)
    1x2 − 3x + 9✓✓ (2)
TOTAL: 18 marks
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