4MA0 Higher January 2016 Paper 4R Q6
6
(a) Simplify \(x^7 \times x^2\) (1)
(b) Simplify \(y^9 \div y^3\) (1)
(c) Expand and simplify \(4(2d + 3) - 2(3d - 5)\) (2)
(d) Solve \(9y - 3 = 5y + 2\) (2)
(e) Solve \(\dfrac{7x - 1}{5} = x\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
| Scheme | Marks |
|---|---|
| \(x^9\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(y^6\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(8d + 12 - 6d + 10\) oe | M1 |
| \(2d + 22\) | A1 |
| (2) |
Notes
M1: for 3 terms with correct signs or 4 terms without signs
A1: for \(2d + 22\) or \(2(d + 11)\)
| Scheme | Marks |
|---|---|
| eg. \(9y - 5y = 2 + 3\) 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 \(\dfrac{5}{4}\) or \(1\dfrac{1}{4}\)
| Scheme | Marks |
|---|---|
| \(7x - 1 = 5x\) | M1 |
eg. \(7x - 5x = 1\) or \(2x = 1\) or \(\dfrac{7}{5}x - x = \dfrac{1}{5}\) | M1 |
| \(\dfrac{1}{2}\) oe | A1 |
| (3) |
Notes
M1: multiplying \(x\) by 5 (seen as part of an equation) or showing \(\dfrac{7}{5}x - \dfrac{1}{5} = x\)
M1: for isolating terms in \(x\)
A1: for \(\dfrac{1}{2}\) or 0.5 dep on M1 scored