Mathematics 4024 · O Level · Equations

Equations — practice question

(a)[4]

A mass of $4$ cards together with $3$ envelopes is $85\,g$. A mass of $2$ cards together with $5$ envelopes is $67\,g$. Set up a pair of simultaneous equations and solve them to determine the mass of one card and the mass of one envelope.

(b)[1]

Factorise the expression $x^2 - 25$.

(c)[3]

Rearrange the formula $r = \frac{2t}{t - 5}$ so that $t$ is the subject.

(d)[3]

Express $\frac{4}{x - 5} - \frac{3}{2x + 1}$ as a single fraction in its simplest form:

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set up the equations $4c+3e=85$, $2c+5e=67$

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