O-LevelMathematicsAlgebra and graphs4024/22 · May/June 2024 · Q78 Marks
Solve x/3 = 7.
- (a)Solve x/3 = 7.[1]
- (b)Solve 6x - 5 = 2(x + 3).[2]
- (c)Factorise 3x² - 2x - 8.[2]
- (d)(ax+b)² = 4x² - 12x + c Given that a > 0, find the value of each of a, b and c.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [1] 21
- [2] 3/4 oe
- M1 for 6x - 2x = 5 + 6 oe
- [2] (3x+4)(x-2) oe factorised final answer
- M1 for (3x + 4)(x – 2) seen and spoilt or answer (3x + a)(x + b) with ab = –8 or answer (3x + a)(x + b) with 3b + a = −2 or 3x(x - 2) + 4(x – 2) or x(3x + 4) - 2(3x + 4)
- [3] a = 2 / b = -3 / c = 9
- B1 for a = 2
- B1FT for b = -12 / (2x their a), their a ≠ 0
- B1FT for c =(their b)², their b ≠ 0
- After 0 scored, SC1 for (2x – 3)² = 4x² – 12x + 9 seen
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