Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a(i))[1]

Solve $\frac{y}{4}=8$ for $y$.

(a(ii))[2]

Solve $3-4x = 2x + 12$ for $x$.

(b(i))[2]

Given $w = 5x - 6y$, find the value of $w$ when $x = 6.2$ and $y = -1.8$.

(b(ii))[2]

Rearrange the formula so that $x$ is the subject.

(c)[2]

Factorise $15y - x^2 - 3xy + 5x$ completely.

(d)[4]

Write the expression as one fraction in its simplest form: $\frac{2}{x-3} - \frac{4}{x+3} + 1$.

Worked solution & mark scheme

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