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O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2022 · Q246 Marks

Solve (2-5x)/(3x+10) = 3.

  1. (a)Solve (2-5x)/(3x+10) = 3.[3]
  2. (b)Express as a single fraction in its simplest form 3/(x-2) - 5/(2x+1).[3]

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [3] (a) -2 M1 for 2 - 5x = 3(3x + 10) or better M1 for 2 - 30 = 9x + 5x or better
  2. [3] (b) (x+13)/((x-2)(2x+1)) or (x+13)/(2x²-3x-2) final answer B1 for 3(2x + 1) – 5(x – 2) oe isw B1 for denominator (x – 2)(2x + 1) oe isw

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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 2022 Paper 1 Variant 2, question 24.

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