Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[4]

Make $x$ the subject from the formula $A - x = \frac{vx}{t}$.

(b)[3]

Find $a$ and $b$ such that $x^2 - 16x + a = (x + b)^2$.

(c)[3]

Write $\frac{6}{x - 4} - \frac{5}{3x - 2}$ as one fraction in its simplest form.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The result is $\frac{At}{t+r}$.” …