Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[3]

Solve the simultaneous equations, showing full working. $2p - q = 7$, $3p + 2q = 7$.

(b)[2]

Determine the value of $x$ from the equation $\frac{x}{4} + \frac{2x}{3} = 1$.

(c(i))[3]

Work out the inequality $-8 < 3x - 2 \leq 7$.

(c(ii))[1]

Identify the integer values of $x$ that make the inequality true.

(d)[2]

Factorise $16a - 4a^2$ completely.

(e(i))[2]

Express $\frac{1}{2a} \div \frac{3}{4b}$ as one fraction and simplify it fully.

(e(ii))[2]

Express $2 - \frac{x}{x-1}$ as one fraction, then simplify fully.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate elimination procedure

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