Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[1]

Factorise $12a^2b-15ab^3$ completely.

(b(i))[1]

Express $4x^2+12x+9$ in the form $(cx+d)^2$.

(b(ii))[2]

Use this to solve $4x^2+12x+9=49$.

(c)[3]

Write $\frac{p+1}{2}-\frac{p-3}{4}$ as one fraction in simplest form.

(d)[2]

Solve $2(3m+4)<3$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A simplified factorised form is $3ab(4a-5b^2)$.” …