O-LevelMathematicsAlgebra and graphs4024/21 · May/June 2021 · Q610 Marks
f(x) = 2x+3 g(x) = (12-3x)/5
- (a)Find g(-1).[1]
- (b)Solve f(x) = 2.[2]
- (c)Find g⁻¹(x).[3]
- (d)Find the value of x when f(x) is 4 more than g(x).[4]
Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [1] 3
- [2] -1/2 or -0.5
- [2] M1 for 2x = 2 – 3 or better
- [3] (12-5x)/3 or 4 - (5/3)x final answer
- [3] B2 for y + x = 4 or y = x-4 or 3y = 12 – 5x or answer (12-5y)/3
- [3] or B1 for 5y = 12 - 3x or y- = - oe or x = (12-3y)/5
- [4] 17/13 or 1 4/13
- [4] B1 for 4 + (12-3x)/5 = 2x+3 oe
- [4] M1 for [+-]4 × 5 + 12 – 3x = 5(2x+3) oe
- [4] M1 for 13x = k or kx = 17 or kx = -23
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