O-LevelMathematicsAlgebra and graphs4024/21 · May/June 2016 · Q29 Marks
Solve the equation (p-1)/(7-p) = 5.
- (a)Solve the equation (p-1)/(7-p) = 5.[2]
- (b)Simplify (9ab^4 / a^2b^2)^(1/2)[2]
- (c)Simplify (q^2 - q^3) / (3 - 3q)[2]
- (d)(i)Factorise 4t^2 + 35t - 9.[2]
- (d)(ii)Hence solve the equation 4t^2 + 35t - 9 = 0.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [2] (a) 6
- [2] (a) M1 for p – 1 = 5(7 -p) soi
- [2] (b) 3b^2/a
- [2] (b) M1 for (9b^4/a^2)^(1/2) oe or 3a^2b^3/a^2b oe or B1 for 3b^2 as numerator or k/a
- [2] (c) q^2/3
- [2] (c) B1 for q^2(1-q) or 3(1-q)
- [2] (d)(i) (4t-1)(t+9)
- [2] (d)(i) B1 for (at + c)(bt + d) with ab = 4 or cd = −9
- [1ft] (d)(ii) -1/4, -9 or ft
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