Solve |linear| = |linear| (both linear inside)

Solve equation where both sides are modulus of linear expressions, e.g. |3x+4| = |2x+5| or |x-2| = |x/3|.

12 questions · Moderate -0.7

1.02l Modulus function: notation, relations, equations and inequalities
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CAIE P2 2022 March Q1
3 marks Moderate -0.8
1 Solve the equation \(| 5 x - 2 | = | 4 x + 9 |\).
CAIE P2 2011 June Q1
3 marks Moderate -0.5
1 Solve the equation \(| 3 x + 4 | = | 2 x + 5 |\).
CAIE P2 2014 November Q1
3 marks Moderate -0.8
1 Solve the equation \(| 3 x - 1 | = | 2 x + 5 |\).
OCR C3 2005 June Q2
4 marks Moderate -0.8
2 Find the exact solutions of the equation \(| 6 x - 1 | = | x - 1 |\).
OCR C3 2008 June Q1
4 marks Moderate -0.5
1 Find the exact solutions of the equation \(| 4 x - 5 | = | 3 x - 5 |\).
OCR MEI C3 Q5
4 marks Moderate -0.5
5 Solve the equation \(| 2 x - 1 | = | x |\).
[0pt] [4]
OCR H240/03 2018 June Q2
3 marks Moderate -0.8
2 Solve the equation \(| 2 x - 1 | = | x + 3 |\).
OCR H240/01 2018 March Q2
6 marks Moderate -0.8
2
  1. Given that \(| n | = 5\), find the greatest value of \(| 2 n - 3 |\), justifying your answer.
  2. Solve the equation \(| 3 x - 6 | = | x - 6 |\).
CAIE P3 2013 June Q1
3 marks Moderate -0.8
Solve the equation \(|x - 2| = |\frac{1}{3}x|\). [3]
OCR C3 Q2
4 marks Moderate -0.3
Find the exact solutions of the equation \(|6x - 1| = |x - 1|\). [4]
OCR MEI C3 2011 June Q1
4 marks Moderate -0.8
Solve the equation \(|2x - 1| = |x|\). [4]
SPS SPS SM Pure 2021 May Q2
3 marks Easy -1.2
Solve the equation \(|2x - 1| = |x + 3|\). [3]