O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2018 · Q246 Marks

Show that (12/(x+2)) + (10/(x-1)) = 7/2 can be simplified to give the equation 7x² - 37x - 30 = 0.

(a)Show that (12/(x+2)) + (10/(x-1)) = 7/2 can be simplified to give the equation 7x² - 37x - 30 = 0.[3]
(b)Solve, by factorisation, 7x² - 37x - 30 = 0.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

M1 12(x-1)+10(x+2) / (x-1)(x+2) = 7/2 or better
M1 24x - 24 + 20x + 40 = 7x² + 7x - 14
A1 Completion to 7x² - 37x - 30 = 0 with no errors or omissions
[3] 6, -5/7 from factorisation
M2 for [0 = ] (7x + 5)(x − 6) or M1 for factors that when expanded give two terms correct or for (7x – 5)(x − 6) After 0 marks SC1 for both answers correct using formula

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About this question

Topic

Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.

Source

O-Level Mathematics, May/June 2018 Paper 1 Variant 1, question 24.

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