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

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
Solve $\dfrac{3}{x} + 4 = 5$
Level 3 · 2 marksTry it
2
Solve $\dfrac{x + 2}{3} = \dfrac{2x - 5}{4}$
Level 3 · 3 marksTry it