Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Using $A = 3p + q$, find $q$ when $A = 23$ and $p = 5$.

(b)[2]

Expand and simplify the expression $2(2x+5) + 3(x-6)$.

(c)[2]

Solve the equation $5y + 3 = 1$.

(d)[2]

Factorise the expression $12r^2 - 8rs$.

(e)[1]

Rearrange $a = 3b$ so that $b$ becomes the subject.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: The substituted equation is $23=3\times5+q$.

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