4MA0 Higher June 2016 Paper 4 Q2
2 Solve \(8y - 18 = 3(y + 3)\)
Show clear algebraic working.
(3)
| Scheme | Marks |
|---|---|
| (\(8y - 18 =\)) \(3y + 9\) | M1 |
| \(8y - 3y = 9 + 18\) or \(5y = 27\) oe | M1 |
| 5.4 oe | A1 |
| (3) |
Notes
M1: For correct expansion of bracket
M1: For collecting terms in \(y\) on one side and constant terms on the other (as part of a correct equation)
A1: Eg \(\dfrac{27}{5}\) or \(5\dfrac{2}{5}\)
Dep on at least M1
ScB1 for
\(8y - 18 = 3y + 3\) AND \(8y - 3y = 3 + 18\) or
\(8y - 18 = 3y + 3\) AND \(5y = 21\)
Alternative Method
| Scheme | Marks |
|---|---|
| \(\dfrac{8y - 18}{3} = y + 3\) or \(\dfrac{8y}{3} - \dfrac{18}{3} = y + 3\) oe | M1 |
| \(\dfrac{8y}{3} - y = 3 + \dfrac{18}{3}\) or \(5y = 27\) oe | M1 |
| 5.4 oe | A1 |
Notes
M1: For dividing both sides of the equation by 3 as part of a correct equation
M1: For collecting terms in \(y\) on one side and constant terms on the other (as part of a correct equation)
A1: Eg \(\dfrac{27}{5}\) or \(5\dfrac{2}{5}\)
Dep on at least M1