Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Expand the brackets, then simplify $5(2x + 3) - 2(x + 4)$.

(b(i))[1]

Find an expression for the perimeter of the triangle in terms of $x$. Leave your answer in its simplest form.

(b(ii))[1]

Find the length of one side of the square, in terms of $a$, and give your answer in simplest form.

(c)[3]

Find an expression for the rectangle’s perimeter in terms of $y$. Give your answer in simplest form.

(d)[5]

Form an equation in terms of $m$, then solve it to determine the cost of one mint.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Final answer: $8x+7$.

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