Mathematics 4024 · O Level · Algebraic fractions

Algebraic fractions — practice question

(a)[3]

$r = \frac{4p + 3t}{2}$. Determine $p$ when $r = 10$ and $t = -2$.

(b)[4]

The diagram represents a quadrilateral. Set up an equation in $w$ and solve it to determine the size of the largest angle in the quadrilateral.

(c)[3]

Simplify $\frac{2k^2 - 5k - 3}{k^2 - 9}$ fully.

(d)[6]

Solve $\frac{2}{x+3} + \frac{5}{x-2} = 1$. Show all your working and give your answers correct to $2$ decimal places.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Solve $10\times2-3x-2=4p$ for $p$

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