Higher January 2022 Paper 2R Q3
3
(a) Solve \(4y + 5 \gt 12\) (2)
(b) Solve \(6x - 5 = \dfrac{4x - 7}{2}\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
| Scheme | Marks |
|---|---|
| \(4y \gt 12 - 5\) | M1 |
| \(y \gt \dfrac{7}{4}\) | A1 |
| (2) |
Notes
M1: Allow \(y = \dfrac{7}{4}\) oe or \(y \gt -\dfrac{7}{4}\) or \(y \lt \dfrac{7}{4}\)
A1: oe
| Scheme | Marks |
|---|---|
\(12x - 10\) or \(2(6x - 5) = 4x - 7\) or \(6x - 5 = \dfrac{4}{2}x - \dfrac{7}{2}\) oe | M1 |
\(12x - 4x = -7 + 10\) oe or \(6x - \dfrac{4}{2}x = -\dfrac{7}{2} + 5\) oe | M1ft |
Working required Answer: \(\dfrac{3}{8}\) | A1 |
| (3) | |
| (5 marks) |
Notes
M1: for removal of fraction and multiplying out LHS
or rearranging to remove the fraction
or
separating fraction (RHS) in an equation
M1ft: (dep on 4 terms) for terms in \(x\) on one side of equation and number terms on the other
A1: (dep M1) oe