Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Expand and simplify $(x + 7)(x - 3)$.

(b(i))[2]

Factorise completely $15p^2q^2 - 25q^3$.

(b(ii))[2]

Factorise completely $4fg + 6gh + 10fk + 15hk$.

(b(iii))[2]

Factorise completely $81k^2 - m^2$.

(c)[4]

Solve the equation $3(x - 4) + \frac{x + 2}{5} = 6$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: So the simplified expression is $x^{2}+4x-21$.

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