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A-LevelMathematicsAlgebra9709/31 · May/June 2025 · Q13 Marks

Sketch the graph of y = |2x-3|.

  1. (a)Sketch the graph of y = |2x-3|.[1]
  2. (b)Solve the inequality 3x-1 <|2x-3|.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [B1] Symmetrical. In correct position. Condone if no complete scale shown, but must see 3 and ½ marked. Needs to exist for negative x. Must be intending straight lines. Ignore y = 3x-1 if seen.
  2. [B1] Obtain critical value from 3x−1=3-2x
  3. [B1] State final answer x < ½
  4. Alternative Method for Question 1(b)
  5. [B1] Obtain critical value from (3x-1)² = (3-2x)²
  6. [B1] State final answer x < ½

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About this question

Topic
Algebra, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, May/June 2025 Paper 3 Variant 1, question 1.

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