Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Work out $W$ when $a = 6$ and $c = 2$.

(b)[2]

Factorise $12b + 8b^2$ fully.

(c)[2]

Make $m$ the subject of $y = 4m - p$.

(d)[1]

Find $x$ when $5^x \times 5^3 = 5^{12}$.

(e(i))[1]

Find $3^0$.

(e(ii))[1]

Find $5^{-2}$.

(f)[5]

Calculate the length of a shorter side.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: This becomes $3\times6+5\times2$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI