Foundation June 2021 Paper 2 Q8
8
(a) Simplify \(\quad w \times w \times w \times w \times w\) (1)
(b) Simplify \(\quad 5a \times 3c\) (1)
(c) Simplify \(\quad 3e + 2f - e + 5f\) (2)
(d) Solve \(\quad 5x - 7 = x + 12\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
| Scheme | Marks |
|---|---|
| \(w^5\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(15ac\) | B1 |
| (1) |
Notes
B1: or \(a15c\) or \(ac15\) or \(c15a\) oe
(NB: no multiplication signs)
| Scheme | Marks |
|---|---|
| \(2e + 7f\) | B2 |
| (2) |
Notes
B2: (B1 for \(2e\) or \(+7f\) or \(7f\) but not for \(-7f\))
Do not isw so if you see \(2e + 7f = 9ef\) award B1 only
| Scheme | Marks |
|---|---|
| eg \(5x - x = 12 + 7\) or \(-7 - 12 = x - 5x\) or \(4x - 7 = 12\) or \(5x = x + 19\) oe | M1 |
| \(4x = 19\) or \(-4x = -19\) | M1 |
| Working required Answer: 4.75 | A1 |
| (3) | |
| (7 marks) |
Notes
M1: for rearrangement with \(x\) terms on one side and numerical terms on the other in a correct equation or the correct simplification of \(x\) terms or numbers on one side in a correct equation
M1: \(x\) terms simplified and number terms simplified correctly in an equation
A1: oe, eg \(\dfrac{19}{4}\) or \(4\dfrac{3}{4}\) dep on M1