Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Solve $ \dfrac{p - 1}{7 - p} = 5$.

(b)[2]

Simplify the expression $\left\sqrt{\dfrac{9ab^6}{a^3 b^2}\right}$.

(c)[2]

Simplify the fraction $\dfrac{q^2 - q^3}{3 - 3q}$.

(d(i))[2]

Factorise the quadratic $4t^2 + 35t - 9$.

(d(ii))[1]

Hence, solve $4t^2 + 35t - 9 = 0$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Form $p - 1 = 5(7 - p)$

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