4MA0 Foundation January 2016 Paper 2R Q24
24
(a) Solve \(9y - 3 = 5y + 2\) (2)
(b) Solve \(\dfrac{7x - 1}{5} = x\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
| Scheme | Marks |
|---|---|
| \(9y - 5y = 2 + 3\) or \(4y = 5\) | M1 |
| 1.25 | A1 |
| (2) |
Notes
M1: for a correct equation with terms in \(y\) on one side and numbers on the other.
A1: for 1.25 or \(\tfrac{5}{4}\) or \(1\tfrac{1}{4}\)
(the answer is partly cut off in the printed mark scheme)
| Scheme | Marks |
|---|---|
| \(7x - 1 = 5x\) | M1 |
| eg. \(7x - 5x = 1\) or \(2x = 1\) or \(\tfrac{7}{5}x - x = \tfrac{1}{5}\) | M1 |
| \(\tfrac{1}{2}\) oe | A1 |
| (3) | |
| Total 5 marks |
Notes
M1: multiplying \(x\) by 5 (seen as part of an equation) or showing \(\tfrac{7}{5}x - \tfrac{1}{5} = x\)
M1: for isolating terms in \(x\)
A1: for \(\tfrac{1}{2}\) or 0.5 dep on M1 scored
(corrected from the printed mark scheme: the question total is printed as “Total 9 marks”)