1MA0 Higher November 2013 Paper 1 Q20
20
(a) Solve \(\dfrac{4(8x - 2)}{3x} = 10\) (3)
(b) Write as a single fraction in its simplest form \[\frac{2}{y + 3} - \frac{1}{y - 6}\] (3)
| Answer | Mark | Notes |
|---|---|---|
| 4 | 3 | M1 for correct expansion to \(32x - 8\) or multiplying both sides by \(3x\) or dividing both sides by 4 M1 for a compete and correct method to isolate the \(x\) terms and the number terms (condone one arithmetic error in multiplying out the bracket) A1 cao |
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(\dfrac{2(y - 6) - (y + 3)}{(y + 3)(y - 6)}\) | \(\dfrac{y - 15}{(y + 3)(y - 6)}\) | 3 | M1 for common denominator of \((y + 3)(y - 6)\) M1 for \(\dfrac{2(y - 6)}{(y + 3)(y - 6)} - \dfrac{y + 3}{(y + 3)(y - 6)}\) oe or \(\dfrac{2(y - 6) - (y + 3)}{(y + 3)(y - 6)}\) oe A1 for \(\dfrac{y - 15}{(y + 3)(y - 6)}\) or \(\dfrac{y - 15}{y^2 - 3y - 18}\) |