Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Simplify this expression. $7a - 4b - 2a + b$.

(b)[2]

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

(c)[3]

Solve this equation. $6x^2 - 2x - 9 = 0$. Show all your working and give your answers correct to $2$ decimal places.

(d(i))[1]

Write as a single fraction in its simplest form for this expression. $\frac{x}{4} \div \frac{2}{y}$.

(d(ii))[3]

Write as a single fraction in its simplest form for this expression. $\frac{3}{x-5} - \frac{7}{2x+1}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Final answer: $5a-3b$.

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