Higher November 2017 Paper 1 Q5
5
(a) Factorise \(\quad x^2 - 100\) [1 mark]
(b) Solve \(\quad 7x + 6 \gt 1 + 2x\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((x - 10)(x + 10)\) | B1 | either order ignore fw |
Additional guidance
| \((x + 10)(x + -10)\) | B1 |
| Condone missing bracket at end only \((x - 10)(x + 10\) \((x - 10(x + 10)\) | B1 B0 |
| \((x - 10)(x + 10)\) followed by attempt to solve, eg answer \(x = 10\), \(x = -10\) | B1 |
| answer only \(x = 10\), \(x = -10\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \(7x - 2x \gt 1 - 6\) or \(5x \gt -5\) or \(6 - 1 \gt 2x - 7x\) or \(5 \gt -5x\) or \(1 \gt -x\) | M1 | oe collecting terms |
| \(x \gt -1\) or \(-1 \lt x\) | A1 | SC1 incorrect sign eg \(x \geqslant -1\) or \(x = -1\) or answer of \(-1\) |
Additional guidance
| Answer \(x \gt \dfrac{-5}{5}\) | M1A0 |
| Answer only \(\dfrac{-5}{5}\) | SC0 |
| \(x \gt -1\) with \(-1\) or 0, 1, 2 … as the answer | M1A0 |