(a(i))[2]
Simplify the expression $3m - 5n - 4m + 8n$.
(a(ii))[2]
Simplify $(3a^2c^3)^4$.
(a(iii))[2]
Simplify $\frac{4x}{5} - \frac{3x}{10} + \frac{2x}{15}$.
(b)[3]
Find $a$.
(c)[3]
Using the quadratic formula, solve $5x^2 - 4x - 3 = 0$. Show all of your working.
(d)[5]
Solve these simultaneous equations: $y = x^2 - 4x + 5$ and $y = 2x - 3$. Show all of your working.