4MA0 Foundation June 2014 Paper 2R Q11
11
(a) Simplify \(4x + 3x\) (1)
(b) Simplify \(5 \times 3y\) (1)
\(f = 5p - 4v\)
(c)
(i) \(p = -4\), \(v = 3\)
Work out the value of \(f\).
Work out the value of \(f\).
(ii) \(f = -22\), \(v = -5\)
Work out the value of \(p\).
(5)Work out the value of \(p\).
| Scheme | Marks |
|---|---|
| \(7x\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(15y\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (i) \(5 \times (-4) - 4 \times 3 = -20 - 12\) | M1 |
| −32 | A1 |
| (ii) eg. \(-22 = 5 \times p - 4 \times -5\) or \(5p = -22 + 4 \times -5\) | M1 |
eg. \(-22 = 5p + 20\) or \(5p = -22 - 20\) or \(p = \dfrac{-22 - 20}{5}\) | M1 |
| −8.4 oe | A1 |
| (5) | |
| (Total 7 marks) |
Notes
M1: \(5 \times (-4) - 4 \times 3\)
M1: for correct substitution (must be into a correct equation)
M1: for correct simplification (minimum of \(-4 \times -5 = +20\))
A1: (accept \(-\dfrac{42}{5}\) or \(-8\dfrac{2}{5}\) oe)