O-LevelMathematicsAlgebra and graphs4024/22 · Oct/Nov 2023 · Q48 Marks
Solve. 5x+6 = 3x
- (a)Solve. 5x+6 = 3x[2]
- (b)The mass of a plum is n grams. The mass of an apple is twice the mass of the plum. The mass of a banana is 50 grams more than the mass of the apple. The total mass of the plum, the apple and the banana is 450 grams. Form an equation in n and solve it to find the mass of the plum.[3]
- (c)Solve by factorisation. x²-4x-21 = 0[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [2] M1 for isolating x-terms 5x - 3x = -6 oe
- [3] B1 n+2n+2n+50=450 oe
- B2 M1FT for correct rearrangement to an = b
- [3] B2 (x+3)(x-7) [= 0]
- B1 for brackets giving two out of three terms correct
- or for x(x+3)-7(x+3) or x(x-7)+3(x-7)
- B1 If B1 or 0 scored, SC1 for (x + s)(x + t) [=0] leading to x = -s, x = -t where s = ±3 and t = ±7
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