Mathematics 4024 · O Level · Algebraic fractions

Algebraic fractions — practice question

(a(i))[2]

Express $\frac{6y}{35} \div \frac{10y^2}{7}$ as a fraction in simplest form.

(a(ii))[3]

Express $\frac{k^2 - 16}{k^2 - 2k - 8}$ as a fraction in its simplest form.

(b)[2]

Solve the equation $3(x - 4) + 5 = 7$.

(c)[3]

Solve $3t^2 + 5t - 4 = 0$. Show all your working, and give your answers correct to $2$ decimal places.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The fraction in simplest form is $\frac{3}{25y}$.

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