Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a(i))[2]

Expand the brackets, then write the expression in its simplest form: $4(2x + 5) - 5(3x - 7)$.

(a(ii))[2]

Expand and simplify: $(x - 7)^2$.

(b(i))[3]

Solve the equation $\frac{2x}{3} + 5 = -7$.

(b(ii))[3]

Solve the equation $4x + 9 = 3(2x - 7)$.

(b(iii))[3]

Solve the equation $3x^2 - 1 = 74$.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct answer is $-7x+55$.

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