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O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · Oct/Nov 2012 · Q14 Marks

Solve the equation |7x + 5| = |3x – 13|.

  1. Solve the equation |7x + 5| = |3x – 13|.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2012). The mark or mark type is shown in brackets.

  1. [M1] Equate and attempt to solve
  2. [A1] x = -4.5 o.e.
  3. [M1] Equate
  4. [A1] x = 0.8 o.e.
  5. [OR]
  6. [M1] Square and Equate
  7. [A1] 10x² + 37x – 36(= 0) o.e.
  8. [M1] Factorise or formula of three term quadratic.
  9. [A1] x = 0.8 and x = -4.5
  10. [OR]
  11. [M1] Plot y = | 7x + 5|
  12. [M1] Plot y = | 3x - 13|
  13. [A1] x = 0.8
  14. [A1] x = -4.5

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About this question

Topic
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2012 Paper 2 Variant 2, question 1.

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