2026/27 Enrolment Open · Free Assessment
Cambridge IGCSE MathematicsSyllabus 0580Unit 4: Algebra
Chapter 14

Further solving of equations and inequalities

Solve simultaneous equations, linear inequalities and graphical regions, and master completing the square, the quadratic formula and algebraic fractions for Cambridge IGCSE Mathematics.

What You'll Learn

  • 01Simultaneous linear equations
  • 02Linear inequalities and number lines
  • 03Inequality regions in a plane
  • 04Completing the square and turning points
  • 05Quadratic formula and non-monic quadratics
  • 06Simplifying and solving algebraic fractions
Resources

Topical Past Papers

Practice questions from licensed topical past papers organised around this topic.

View Topical Past Papers →

Chapter Topics

7 official subtopics
14.1Simultaneous linear equations
14.2Linear inequalities
14.3Regions in a plane
Extended
14.4Completing the square
Extended
14.5Quadratic formula
Extended
14.6Factorising quadratics where the coefficient of x² is not 1
Extended
14.7Algebraic fractions
Extended

Your Learning Journey

Plan your chapter across focused 60-minute sessions.

6 Sessions6 Hours (360 min)
01
LEARN
60 MIN
14.1 Simultaneous linear equations
14.2 Linear inequalities
Session 1 of 6
02
LEARN
60 MIN
14.3 Regions in a plane
14.4 Completing the square
Session 2 of 6
03
LEARN
60 MIN
14.5 Quadratic formula
14.6 Factorising quadratics where the coefficient of x² is not 1
Session 3 of 6
04
LEARN
60 MIN
14.7 Algebraic fractions
Session 4 of 6
05
PRACTICE
60 MIN
Chapter Practice
Session 5 of 6
06
EXAM
60 MIN
Past Paper Practice
Session 6 of 6
1-to-1 Mathematics Tuition · Cambridge IGCSE Mathematics

Master Chapter 14: Further solving of equations and inequalities with Siddharth Agrawal

Book a free 30-minute diagnostic session for personalised 1-to-1 coaching tailored to your Core tier target grade.