O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2023 · Q226 Marks
(x 3)(x-1) = (2x+6) (2 x+1)( 2 ) ( y )
- (a)Show that x² - 3x = 0 .[2]
- (b)(i)Solve x² - 3x = 0 .[2]
- (b)(ii)Find the value of y when x > 0 .[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- M1 x(x - 1) + 3 × 2 [= 2x + 6 ]
- A1 x²- x + 6 = 2x + 6 leading to x² – 3x = 0
- Brackets expanded and no errors or omissions seen
- [2] 3, 0
- M1 for x(x – 3) [= 0] seen
- or for (3 ±√9)/2 seen
- or for (3/2) ±√(9-4)/2 seen
- [2] 12
- M1 for 2(x – 1) + 2(x + 1) [= y] oe or better
- or for 2(their x − 1) + 2(their x + 1) [= y]
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