Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Express $\frac{4}{x-2}-\frac{5}{x+1}$ as a single fraction in simplest form.

(b)[3]

Solve the equation $2x(x+1)=3(4-x)$.

(c(i))[1]

Form a pair of simultaneous equations that represents the information.

(c(ii))[3]

Solve the simultaneous equations to determine the cost of a pen and the cost of a notebook.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate simplification

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