4400 Higher November 2007 Paper 3 Q9
9
(a) Expand \(4(v + 3)\) (1)
(b) Simplify \(\dfrac{w^3 \times w^7}{w^2}\) (2)
(c) Solve the equation \(\dfrac{17 - x}{7} = 3\) (3)
(d) Solve the inequality \(4y - 5 \lt 6\) (2)
| Scheme | Marks |
|---|---|
| \(4v + 12\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(w^8\) | B2 |
| (2) |
Notes
B2: \(w^{10}\) seen: B1
| Scheme | Marks |
|---|---|
| \(17 - x = 3 \times 7\) | M1 |
| \(17 = 21 + x\) or \(-x = 4\) | M1 |
| \(x = -4\) | A1 |
| (3) |
Notes
M1: or \(17 = 3 \times 7 + x\)
| Scheme | Marks |
|---|---|
| \(4y \lt 6 + 5\) | M1 |
| \(y \lt 2.75\) | A1 |
| (2) | |
| (8 marks) |
Notes
M1: allow “=” only if ans incl “\(y \lt \)”
A1: or \(y \lt \frac{11}{4}\) or \(y \lt 2\frac{3}{4}\) on line