Foundation June 2022 Paper 1 Q20
20
(a) Expand and simplify \((n - 6)(n + 4)\) (2)
(b) Solve \(2x - 3 = \dfrac{3x - 5}{4}\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
| Scheme | Marks |
|---|---|
| \(n^2 - 6n + 4n - 24\) | M1 |
| \(n^2 - 2n - 24\) | A1 |
| (2) |
Notes
M1: for any 3 correct terms or
for 4 out of 4 correct terms ignoring signs
or
for \(n^2 - 2n \ldots\) or
for \(\ldots - 2n - 24\)
A1: oe
| Scheme | Marks |
|---|---|
\(8x - 12\) or \(\dfrac{3}{4}x - \dfrac{5}{4}\) oe or \(0.75x - 1.25\) oe | M1 |
\(8x - 3x = -5 + 12\) oe or \(5x = 7\) oe or \(2x - \dfrac{3}{4}x = -\dfrac{5}{4} + 3\) or \(2x - 0.75x = -1.25 + 3\) oe | M1ft |
Working required Answer: \(\dfrac{7}{5}\) | A1 |
| (3) | |
| (5 marks) |
Notes
M1: for correct multiplication by 4
or
separate fractions on the RHS
M1ft: (dep on 4 terms) for terms in \(x\) on one side of equation and number terms on the other
(corrected from the printed mark scheme: \(2x - 0.75x = -1.25 - 3\))
A1: oe dep on M1 1.4 or \(1\dfrac{2}{5}\) oe