◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · Oct/Nov 2016 · Q13 Marks

Solve the equation |4x-3|=x.

  1. Solve the equation |4x-3|=x.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.

  1. [B1] 4x-3=x → x=1 www
  2. [M1] 4x-3=-x use of -x or -(4x-3) but not both.
  3. [A1] x = 0.6
  4. OR (4x−3)² = x² [B1]
  5. 15x²-24x+9=0
  6. [M1] 3(x-1)(5x-3)=0 solve correct 3 term quadratic
  7. [A1] x = 1 and x = 0.6 www

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2016 Paper 2 Variant 2, question 1.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

Equations, inequalities and graphsMay/June 20196m

State the order of the matrix `(0 1 4 8; 5 8 1 6)`.

Equations, inequalities and graphsMay/June 20216m

Solve the inequality |4x-1|> 9.

Equations, inequalities and graphsMay/June 20239m

The line with equation x+3y = k, where k is a positive constant, is a tangent to the curve with equation x²+y²+2y-9 =…

Straight line graphsMay/June 20218m

The curves y = x² and y² = 27x intersect at O(0, 0) and at the point A. Find the equation of the perpendicular bisect…

Differentiation and integrationMay/June 20216m

Variables x and y are such that y = e2 + x cos 2x, where x is in radians. Use differentiation to find the approximate…

Quadratic functionsMay/June 20216m

Find the exact values of the constant k for which the line y=2x+1 is a tangent to the curve y = 4x² +kx+k-2.

← Browse all past-paper questions

© 2026 Oracle Prep