Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[1]

Solve $\frac{x}{7} = 49$.

(b(i))[1]

Simplify $x^0$.

(b(ii))[1]

Simplify $x^7 \times x^3$.

(b(iii))[2]

Simplify $\frac{(3x^6)^2}{x^{-4}}$.

(c(i))[2]

Factorise completely $2x^2 - 18$.

(c(ii))[3]

Simplify $\frac{2x^2 - 18}{x^2 + 7x - 30}$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The final answer is $343$.

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