Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Solve the equation $10 - 3p = 3 + 11p$.

(b)[3]

Make $m$ the subject in the formula $mc^2 - 2k = mg$.

(c)[5]

Solve the equation $\frac{1}{x-3} + \frac{4}{2x+3} = 1$.

(d)[5]

Solve the simultaneous equations $x + 2y = 12$ and $5x + y^2 = 39$.

(e)[3]

Expand and simplify the expression $(2x - 3)(x + 6)(x - 4)$.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $\frac{1}{2}$.

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