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A-LevelMathematicsAlgebra9709/22 · Feb/Mar 2019 · Q24 Marks

Given that x satisfies the equation |2x + 3| = |2x – 1|, find the value of |4x – 3| – |6x|.

  1. Given that x satisfies the equation |2x + 3| = |2x – 1|, find the value of |4x – 3| – |6x|.[4]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2019). The mark or mark type is shown in brackets.

  1. [M1] Solve non-modular equation (2x + 3)² = (2x−1)² or linear equation with signs of 2x different
  2. [A1] Obtain x = −½
  3. [M1] Substitute negative value into expression and show correct evaluation of modulus at least once
  4. [A1] Obtain 5−3 = 2 with no errors seen

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About this question

Topic
Algebra, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Feb/Mar 2019 Paper 2 Variant 2, question 2.

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