4MA0 Foundation June 2016 Paper 2R Q17
17
(a) Solve \(4x + 5 = 13\) (2)
(b) Solve \(6t - 5 = 2t + 9\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
(c) Expand and simplify \(3(2y + 2) + 2(y - 4)\) (2)
(d) Simplify fully \(4wxy \div (8xy)\) (2)
| Scheme | Marks |
|---|---|
| \(4x = 13 - 5\) | M1 |
| 2 | A1 |
| (2) |
Notes
M1: \(4x = 13 - 5\)
| Scheme | Marks |
|---|---|
| Eg \(6t - 2t = 5 + 9\) or \(4t = 14\) or \(-4t = -14\) oe | M2 |
| 3.5 | A1 |
| (3) |
Notes
M2: For all \(t\) terms on one side and all numbers on the other side of a correct equation or M1 for all \(t\) terms on one side or all numbers on one side of a correct equation eg \(4t - 5 = 9\) or \(6t = 2t + 14\) or \(6t - 2t - 5 = 9\) or \(6t = 2t + 9 + 5\) etc
A1: oe dep on M1
| Scheme | Marks |
|---|---|
| \(6y + 6 + 2y - 8\) | M1 |
| \(8y - 2\) | A1 |
| (2) |
Notes
M1: For 3 correct terms
A1: oe eg \(2(4y - 1)\) (NB: \(8y + -2\) is M1 only)
| Scheme | Marks |
|---|---|
| \(\dfrac{w}{2}\) | B2 |
| (2) |
Notes
B2: oe eg \(0.5w\)
B1 for a partial, but correct, simplification with at least 2 correct cancellations, eg \(\dfrac{4w}{8}\), \(\dfrac{wx}{2x}\), \(\dfrac{2w}{4}\), \(\dfrac{wy}{2y}\), \(w(4 \div 8)\) etc or \(kw\) where \(k\) is a number and \(k \ne \frac{1}{2}\)