Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[4]

Express as one fraction in simplest form: $\frac{x+3}{x-3} - \frac{x-2}{x+2}$.

(b)[2]

Use $2^{12} \div 2^k = 32$ to determine $k$.

(c)[3]

Expand and simplify the product $(y+3)(y-4)(2y-1)$.

(d)[3]

Rearrange $x = \frac{3+x}{y}$ to make $x$ the subject.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Common denominator set up

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