Mathematics 0580 · IGCSE · Equations

Equations — practice question

For this question, all lengths are measured in centimetres.
(a(i))[3]

Determine the value of $x$ when the perimeter of the rectangle matches the perimeter of the square.

(a(ii))[7]

Determine the value of $x$ when the area of the rectangle is equal to the area of the square. Show all your working.

(b(i))[2]

Factorise the expression $x^2 + 4x - 5$.

(b(ii))[4]

Solve the equation $\frac{5}{x} - \frac{8}{x+1} = 1$. Show all your working.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: The required equation is $2(4x+7)=2(6x-2)$

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