Higher June 2018 Paper 2R Q4
4
(a) Expand and simplify \(3(c - 7) + 2(3c + 4)\) (2)
(b) Expand and simplify \((x + 7)(x - 2)\) (2)
(c) Factorise fully \(28y^2 - 21y\) (2)
(d) Solve \(\dfrac{7x - 2}{4} = 3x + 1\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
| Scheme | Marks |
|---|---|
| \(3c - 21 + 6c + 8\) | M1 |
| \(9c - 13\) | A1 |
| (2) |
Notes
M1: For 3 or 4 terms correct
| Scheme | Marks |
|---|---|
| \(x^2 - 2x + 7x - 14\) | M1 |
| \(x^2 + 5x - 14\) | A1 |
| (2) |
Notes
M1: For 3 correct terms or for 4 correct terms ignoring signs or for \(x^2 + 5x + k\) for any non-zero value of \(k\) or for …. \(+\,5x - 14\)
| Scheme | Marks |
|---|---|
| \(7y(4y - 3)\) | B2 |
| (2) |
Notes
B2: B1 for \(y(28y - 21)\) or \(7(4y^2 - 3y)\) or \(7y(4y + k)\) or \(7y(ay - 3)\)
| Scheme | Marks |
|---|---|
| eg \(7x - 2 = 4(3x + 1)\) oe | M1 |
| \(7x - 12x = 4 + 2\) oe or \(-2 - 4 = 12x - 7x\) oe | M1 |
Working required Answer: \(-\dfrac{6}{5}\) | A1 |
| (3) | |
| (9 marks) |
Notes
M1: correct first step
M1: for rearranging the \(x\) terms on one side and the numerical terms on the other. ft rearranging their expansion \(ax + b = cx + d\) eg \(7x - 2 = 12x + 4\)
A1: oe, dep on M1