Mathematics 4024 · O Level · Algebraic fractions

Algebraic fractions — practice question

(a)[3]

Combine as a single fraction in simplest form $\dfrac{3}{y-1} - \dfrac{5}{y+6}$.

(b)[3]

Simplify the expression $\dfrac{2y^2 - 5y - 12}{y^2 - 16}$.

(c)[4]

Solve $3(x^2 + 3) = 11x$. Show your working and give your answers accurate to $3$ significant figures.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The numerator becomes $23-2y$

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