Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a(i))[3]

Solve the equation $4(2x-3)=24$.

(a(ii))[2]

Solve the inequality $6x+14>6$.

(b)[3]

Make $y$ the subject in the formula $V=2x^3-3y^3$.

(c)[3]

Show that $(2n-5)^2-13$ is a multiple of 4 for every integer value of $n$.

(d(i))[3]

Find the values of $p$ and $q$.

(d(ii))[1]

State the coordinates of the maximum point of the curve $y=5+12x-2x^2$.

(e)[2]

Calculate the percentage rise in the energy of the object.

Worked solution & mark scheme

This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence, $x=4.5,\;\frac{9}{2}$ or $2\frac{1}{4}$.

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