(a)[2]
Solve for $x$ in $4x + 15 = 9$.
(b)[1]
Factorise the expression $a^2 - 9$.
(c)[3]
Write the expression as one fraction, then simplify completely: $\frac{4a}{5} \div \frac{3ad}{10c}$.
(d)[2]
Given $5^n + 5^n + 5^n + 5^n + 5^n = 5^m$, determine $m$ in terms of $n$.
(e)[3]
Solve $4x^2 + 8x - 5 = 0$ by factorisation.
(f(i))[3]
Find the value of $x$ when $y = 108$.
(f(ii))[2]
Determine $n$.
(g)[3]
Expand and then simplify $(2x + 3)(x - 1)(x + 3)$.
(h)[2]
Find $\frac{dy}{dx}$ for $y = 3x^2 + 4x - 1$.