O-LevelMathematicsAlgebra and graphs4024/22 · May/June 2018 · Q38 Marks

Solve 3(x + 10) = 12 - 7x.

(a)Solve 3(x + 10) = 12 - 7x.[2]
(b)Solve the simultaneous equations. Show your working. 4x - 3y = 28, 6x + y = 9[3]
(c)Simplify (v² - 8v) / (2v² - 13v - 24)[3]

Mark scheme

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

[2] M1 for 3x + 7x = 12-30 or -7x-3x=30-12 or better
[3] M1 Correct method to eliminate one variable
A2 A1 for either x = 2.5 or y = −6
After A0, SC1 for a pair of values that satisfy either equation or for correct answers with no working
[3] B1 for v(v – 8) seen
B1 for (2v + 3)(v – 8) seen
final answer nfww

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About this question

Topic

Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 8 marks.

Source

O-Level Mathematics, May/June 2018 Paper 2 Variant 2, question 3.

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