Foundation November 2017 Paper 1 Q31
31
(a) Factorise \(\qquad x^2 - 100\) [1 mark]
(b) Solve \(\qquad 7x + 6 > 1 + 2x\) [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 |
|---|---|---|
| \(7x - 2x > 1 - 6\) or \(5x > -5\) or \(6 - 1 > 2x - 7x\) or \(5 > -5x\) or \(1 > -x\) | M1 | oe collecting terms |
| \(x > -1\) or \(-1 < x\) | A1 | SC1 incorrect sign eg \(x \geqslant -1\) or \(x = -1\) or answer of –1 |
Additional guidance
| Answer \(x > \dfrac{-5}{5}\) | M1A0 |
| Answer only \(\dfrac{-5}{5}\) | SC0 |
| \(x > -1\) with \(-1\) or 0, 1, 2, ….. as the answer | M1A0 |