Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Simplify the expression $5g - 3h - 7g + 6h$.

(b)[2]

Find the value of $j$ given that $k = -5$ and $m = 6$.

(c)[2]

Factorise completely $14x^3 + 49x$.

(d)[3]

Solve the equation $8(3t - 9) = 108$.

(e(i))[1]

Find the value of $w$ here.

(e(ii))[1]

Find the value of $x$ in $4x^2 = 256$.

(f)[4]

Use this information to form an equation and solve it to determine the value of $x$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Simplified expression: $-2g+3h$.

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