Intermediate November 2019 Unit 2 Q8
8.
(a) Solve the following equations.
(i) \(\dfrac{x}{9} = 4\) [1]
(ii) \(4(3x + 2) = 12\) [3]
(b) Factorise each of the following.
(i) \(14a + 21\) [1]
(ii) \(f^2 - f\) [1]
| Scheme | Marks | Comments |
|---|---|---|
| (i) (x =) 36 | B1 | Accept embedded answer unless contradicted by x ≠ 36. Mark final answer. |
| (ii) 12x + 8 = 12 OR 3x + 2 = 3 | B1 | F.T. until 2nd error. Adding ‘unlike terms’ eg 12x + 8 = 20x or 3x + 2 = 5x to be taken as two errors. |
| 12x = 4 OR 3x = 1 | B1 | |
| x = \(\dfrac{4}{12}\) OR x = \(\dfrac{1}{3}\) | B1 | Mark final answer. Allow 0·33(33..) A final answer of 0·3 is (B1B1)B0. |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 7(2a + 3) | B1 | |
| (ii) f(f − 1) | B1 |