Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a(i))[2]

Simplify this expression. $(3x^2y^4)^3$.

(a(ii))[3]

Simplify this expression. $\left(\frac{16}{x^{16}y^8}\right)^{\frac{3}{2}}$.

(b(i))[1]

Factorise this expression. $x^2 - 9$.

(b(ii))[3]

Simplify this fraction. $\frac{x^2 - 9}{2xy - 6y + 5x - 15}$.

(c)[6]

Solve the simultaneous equations. Show every step of your working and write your answers correct to $2$ decimal places.\n$2x + y = 7$\n$y = 5x^2 + 2x - 13$

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Indices are correct

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