Mathematics (Syllabus D) 4024: Algebra and graphs Topical Past Paper Questions

Solve the equation. $$ \frac{2x+1}{x+4}+5=x $$ You must show all your working and give your answers correct to 2 decimal places. $$ x=\underbrace{\cdots\cdots\cdots\cdots\cdots}_{01}\mathrm{~or~}x=\underbrace{\cdots\cdots\cdots\cdots\cdots}_{61} | $$

The cost of apples is x cents per kilogram. Mina spends $9 on apples. (a) Write down an expression for the mass, in kilograms, of apples Mina receives. kg [1] (b) The cost of pears is 40 cents per kilogram more than the cost of apples. Mina spends 9 on pears. The mass of pears Mi…

$$ \mathrm{f}(x)=4x+1\qquad\mathrm{g}(x)=2x-3 $$ (a) Find $f(-3)$. (b) Find $ g^{-1}(x) $. [1] $$ \mathfrak{g}^{-1}(x)= $$ (c) Simplify $ \frac{2}{f(x)} + \frac{1}{g(x)} $. Give your answer as a single fraction, in terms of x, in its simplest form.