4MA0 Higher June 2014 Paper 4 Q9
9
(a) Solve \(7x - 6 = 2x + 17\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
(b) Expand and simplify fully \((x + 8)(x + 2)\) (2)
| Scheme | Marks |
|---|---|
| eg. \(5x = 17 + 6\) \(7x - 2x = 23\) \(5x = 23\) | M2 |
| \(4\frac{3}{5}\) oe | A1 |
| (3) |
Notes
M2: for correct rearrangement with \(x\) terms on one side and numbers on the other AND correct collection of terms on at least one side or for \(5x - 23 = 0\) or \(23 - 5x = 0\)
M1 for \(7x - 2x = 17 + 6\) oe
ie correct rearrangement with \(x\) terms on one side and numbers on the other
or \(5x - 6 = 17\) or \(7x = 2x + 23\)
A1: Award full marks for a correct answer if at least 1 method mark awarded (allow \(\dfrac{23}{5}\) as final answer)
| Scheme | Marks |
|---|---|
| \(x^2 + 2x + 8x + 16\) | M1 |
| \(x^2 + 10x + 16\) | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for 3 correct terms out of a maximum of 4 terms
or for 4 correct terms ignoring signs
or for \(x^2 + 10x + k\) for any non-zero value of \(k\)
or for \(\ldots + 10x + 16\)
A1: cao