Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Solve the equation $11x + 15 = 3x - 7$.

(b(i))[2]

Factorise the expression $x^2 + 9x - 22$.

(b(ii))[1]

Solve the equation $x^2 + 9x - 22 = 0$.

(c)[4]

Rearrange $y = \dfrac{2(x - a)}{x}$ so that $x$ is the subject.

(d)[3]

Simplify the fraction $\dfrac{x^2 - 6x}{x^2 - 36}$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Method used: collecting like terms

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