4MA0 Foundation January 2017 Paper 1 Q21
21
(a) Solve \(5y + 17 = 10\) (2)
(b) Solve \(5(q - 3) = 12 - q\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
(c) Solve the inequality \(3 - 7t \geqslant 31\) (2)
| Scheme | Marks |
|---|---|
| \(5y = 10 - 17\) or \(5y = -7\) or \(17 - 10 = -5y\) or \(7 = -5y\) | M1 |
| −1.4 | A1 |
| (2) |
Notes
A1: for −1.4 or \(-\dfrac{7}{5}\) or \(-1\dfrac{2}{5}\)
| Scheme | Marks |
|---|---|
\(5q - 15\ (= 12 - q)\) or \(q - 3 = \dfrac{12}{5} - \dfrac{q}{5}\) | M1 |
| E.g. \(5q + q = 12 + 15\) or \(6q = 27\) | M1 |
| 4.5 | A1 |
| (3) |
Notes
M1: For a correct equation with the \(q\) terms collected on one side of the equation and the non \(q\) terms on the other side.
ft from \(5q - 3 = 12 - q\) for this mark only
A1: for 4.5 or \(\dfrac{9}{2}\) oe dep on at least M1
| Scheme | Marks |
|---|---|
| \(-7t \geqslant 31 - 3\) or \(7t \leqslant 3 - 31\) oe | M1 |
| \(t \leqslant -4\) | A1 |
| (2) | |
| (7 marks) |
Notes
M1: \(-7t \geqslant 31 - 3\) or \(7t \leqslant 3 - 31\) or −4 or \(t \geqslant -4\)
accept an equation or the wrong inequality sign
A1: or for \(-4 \geqslant t\)
(The printed mark scheme shows “Total 10 marks” for this question; the question is worth 7 marks.)