Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

$C = \frac{1}{4}xy^2$
(a(i))[2]

Find $C$ for the values $x=5$ and $y=8$.

(a(ii))[2]

Find the positive value of $y$ given that $C=15$ and $x=2.4$.

(b)[3]

Write as a single fraction in its simplest form: $\frac{4}{x-1}-\frac{3}{2x+5}$.

(c)[3]

Expand and simplify the expression $(2x+3)(4-x)^2$.

(d)[3]

Simplify $\left(\dfrac{y^8}{16x^{16}}\right)^{-\frac{3}{4}}$.

Worked solution & mark scheme

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