Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a(i))[2]

$8p+2r+4p-9r$

(a(ii))[1]

$4x^3\times6x^2$

(b)[2]

Write down an expression, in terms of $x$ and $y$, for the overall cost of $x$ cakes at 90 cents each together with $y$ drinks at 75 cents each.

(c)[2]

Factorise completely: $12p^2 - 8p$

(d)[3]

Solve this. $4(7r - 3) = 128$

(e)[4]

Solve these simultaneous equations: $4x + 3y = 43$ and $6x + 7y = 92$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: $12p - 7r$

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