4MA0 Foundation June 2015 Paper 2 Q18
18
(a) Expand \(6(4 - 3y)\) (1)
(b) Factorise \(e^2 + 4e\) (1)
(c) Solve \(7x + 8 = 2x - 3\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
(d) Expand and simplify \((y + 10)(y - 2)\) (2)
| Scheme | Marks |
|---|---|
| \(24 - 18y\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(e(e + 4)\) | B1 |
| (1) |
Notes
B1: Allow \(e(4 + e)\) and \((e + 0)(e + 4)\)
| Scheme | Marks |
|---|---|
| Eg. \(7x - 2x = -3 - 8\) | M1 |
| \(5x = -11\) | M1 |
| −2.2 oe | A1 |
| (3) |
Notes
M1: for correct rearrangement with \(x\) terms on one side and numbers on the other or
the correct simplification of either \(x\) terms or numbers on one side in a correct equation
eg. \(5x + 8 = -3\); \(7x = 2x - 11\)
M1: Award also for \(-5x = 11\)
A1: −2.2 oe dependent on at least M1 awarded;
If no correct algebraic working then award no marks
| Scheme | Marks |
|---|---|
| \(y^2 + 10y - 2y - 20\) | M1 |
| \(y^2 + 8y - 20\) | A1 |
| (2) | |
| Total 7 marks |
Notes
M1: for 3 correct terms out of 4
or for 4 correct terms ignoring signs
or for \(y^2 + 8y + c\) for any non-zero value of \(c\)
or for \(\ldots + 8y - 20\)
A1: cao