Topic 1: Formulae and Equations (1 - 8)

Which expression is equivalent to $$8x-12-2x\left(y-4\right)$$ ?

Find the value of the expression $$\frac{1}{a}+\frac{1}{b}-\frac{1}{c}$$

when $$a=4,\ b=-3,\ c=2\frac{1}{2}$$

Expand and simplify $$3x^2-2x\left(5-4x\right)+8x$$

Simplify $$\frac{3a}{10}+\frac{2a}{5}$$

Expand and simplify $$2c\left(3c-4d\right)-c^2-8dc$$

Find the value of $$\frac{2\left(v-ut\right)}{t^2}$$

when $$v=30,\ u=4,\ t=3$$

Find the value of $$\sqrt[]{\frac{2m^2}{pq}}$$

when $$m=6,\ p=-2,\ q=-4$$

Simplify $$\frac{5x^2}{12az}\times\frac{4z^2}{15ax}$$

Expand and simplify the expression $$3ab-3a\left(2a-4b\right)-a^2$$

The correct expansion of $$3x\left(2x^2-5\right)$$ is: