Foundation November 2022 Paper 1 Q26
26
(a) Solve \(\quad \dfrac{5x}{2} + 3 \gt 18\) (3)
(b) Factorise \(\quad x^2 + 10x + 9\) (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(x \gt 6\) | M1 | for a correct first step, eg subtracts 3 from both sides or multiplies all terms by 2 |
| M1 | (dep M1) for a correct second step, eg multiplies both sides by 2 or divides both sides by 5 or gives the critical value, 6. | |
| A1 | for \(x \gt 6\) |
Additional guidance
Could be seen as an equation for both method marks, eg \(5x + 6 = 36\) or \(5x = 30\)
First 2 marks may be awarded for critical value of 6, eg \(x = 6\)
| Answer | Mark | Mark scheme |
|---|---|---|
| \((x + 9)(x + 1)\) | M1 | for \((x \pm 1)(x \pm 9)\) or for \((x + a)(x + b)\) where product of \(a\) and \(b\) = 9, eg \((x + 3)(x + 3)\) or \((x - 3)(x - 3)\) or the sum of \(a\) and \(b\) = 10, eg \((x + 5)(x + 5)\) or \((x + 6)(x + 4)\) |
| A1 | for \((x + 9)(x + 1)\) |