Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Rearrange $v = \frac{3}{p+5}$ so that $p$ is the subject.

(b)[3]

Express $\frac{x}{2x-5} + \frac{3}{x-6}$ as a single fraction in fully simplified form.

(c)[3]

Solve for $x$ in $\frac{4x + 5}{1 - 3x} = 2$.

(d)[4]

Solve $5(x+3) = 2x(2x-1)$. Show all working.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence, \(\frac{3-5v}{v}\).

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