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Grade 10 · Algebraic Expressions
Algebraic Fractions: Simplify, Add & Subtract (Grade 10)
WORKSHEET
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  / 23

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

  1. 1
    Simplify: (x2 − 16)/(x + 4)
    (2)
  2. 2
    Simplify: (x2 − 25)/(x − 5)
    (2)
  3. 3
    Simplify: (x2 + 5x + 6)/(x2 − 4)
    (3)
  4. 4
    Simplify: 6x2/3x
    (1)
  5. 5
    Simplify: (x2 − 1)/x ÷ (x + 1)/3x
    (4)
  6. 6
    Simplify: 1/x + 1/y
    (2)
  7. 7
    Simplify: 2/(x + 1) + 3/(x − 1)
    (3)
  8. 8
    Simplify: (x − 2)/(x3 − 8)
    (3)
  9. 9
    Simplify: (x + 3)/(x3 + 27)
    (3)
TOTAL: 23 marks
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