O-LevelMathematicsAlgebra and graphs4024/21 · May/June 2015 · Q69 Marks
Expand the brackets and simplify (x - 1)(x²+x + 1).
- (a)Expand the brackets and simplify (x - 1)(x²+x + 1).[2]
- (b)Solve the equation (3x / (x+2)) - (4 / (x-2)) = 3.[3]
- (c)Solve these simultaneous equations. 4x - 3y = 4 4y - 3x = -6.5[4]
Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [2] x³-1; M1 for x³ + x² + x − x² − x − 1
- [3] 0.4; M1 for (3x(x-2)-4(x+2))/((x+2)(x-2)) (= 3); B1 for 3x² - 6x - 4x - 8 or x² - 4 soi
- [4] (x = ) -0.5 (y =) -2; B3 for one correct value with supporting working; Or B2 for a pair of values satisfying one equation; Or M1 for attempt to equate coefficients
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