GCSE · Algebraic fractions

Equations with algebraic fractionsExam-style questions

Why multiplying through by the denominators turns a fraction equation into a polynomial one, when the result is linear versus quadratic, and the grade-9 pattern where 1/x-terms breed a quadratic.

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12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    Solve 1x+1x+2=34\dfrac{1}{x} + \dfrac{1}{x + 2} = \dfrac{3}{4}

    You must show all your working.
    Level 5 · 4 marksTry it
  2. 2
    Solve 2x+3x+1=1\dfrac{2}{x} + \dfrac{3}{x + 1} = 1

    Give your answers correct to 2 decimal places.

    You must show all your working.
    Level 5 · 4 marksTry it
  3. 3
    Solve 3x+2+1x−1=1\dfrac{3}{x + 2} + \dfrac{1}{x - 1} = 1

    Give your answers correct to 2 decimal places.

    You must show all your working.
    Level 5 · 5 marksTry it