(a(i))[2]
Write this as one fraction, then give it in simplest form: $\frac{3a}{4b} - \frac{a}{6b}$.
(a(ii))[2]
Write this as one fraction, then simplify fully: $\frac{b^2 - 9}{6} \times \frac{2}{b-3}$.
(b)[2]
Find $x$ from $3x = 1 - 5(x+4)$.
(c)[5]
A rectangular card measures $(2y)\text{ cm}$ by $(y+3)\text{ cm}$. A square with side $y\text{ cm}$ is removed from this rectangle. The area left is $55\text{ cm}^2$. Form an equation in $y$ and solve it to determine the dimensions of the rectangular card.