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A-LevelMathematicsAlgebra9709/22 · Feb/Mar 2022 · Q13 Marks

Solve the equation |5x-2| = |4x + 9|.

  1. (a)Solve the equation |5x-2| = |4x + 9|.[3]

Mark scheme

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

  1. [B1] Solve 5x-2=4x+9 to obtain x = 11
  2. [M1] Attempt solution of linear equation where signs of 5x and 4x are different
  3. [A1] Obtain final value x = -7/9
  4. Alternative method for question 1
  5. [B1] State or imply non-modulus equation (5x – 2)² = (4x + 9)²
  6. [M1] Attempt solution of 3-term quadratic equation
  7. [A1] Obtain x = -7/9 and x = 11

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About this question

Topic
Algebra, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, Feb/Mar 2022 Paper 2 Variant 2, question 1.

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