Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[4]

Solve the simultaneous equations. You must show all your working. $2x + 3y = 11$, $3x - 5y = -50$.

(b)[3]

Find the value of $a$ and the value of $b$ given that $x^2 - 12x + a = (x + b)^2$.

(c)[4]

Write as a single fraction in its simplest form: $\frac{x}{2x - 5} + \frac{3x + 2}{x - 1}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: The solutions are $x=-5,\; y=7$.

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