Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Solve for $x$ in $4x + 7 = 16$.

(b)[2]

Solve for $y$ in $5(4 - y) = 30$.

(c)[2]

Write down every integer that makes the inequality $-\frac{3}{2} \leq x < 3$ true.

(d)[3]

Rearrange the formula $y = \frac{4y - x}{3x}$ so that $x$ is the subject.

(e)[4]

Simplify the expression $\frac{12x^2 - 3y^2}{2x^2 + 8x - xy - 4y}$.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: So $x = \frac{9}{4}$.

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