Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a(i))[1]

Solve $3x = 18$.

(a(ii))[2]

Solve $8x - 15 = 6x + 2$.

(b)[1]

Factorise the expression $5x - 15$.

(c)[2]

Simplify $2x - 6y + 3x + 2y$.

(d)[2]

Find the value of $5u - 2v$.

(e)[2]

Make $p$ the subject of the formula $H = 7p - 3$.

(f(i))[1]

Find the value of $k$ when $x^{10} \div x^{k} = x^{3}$.

(f(ii))[1]

Find the value of $n$ when $y^{10} \times y^{n} = 1$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Answer: $6$

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