Module 5: Systems of Equations & Inequalities
Master solving systems using multiple methods and apply to real-world scenarios
Your Progress
Complete all lessons, practice, and assessments to earn your Module 5 badge!
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Learning Objectives
By the end of this module, you will be able to:
- Solve systems of two linear equations using substitution, elimination, and graphing methods
- Identify whether a system has one solution, no solution, or infinitely many solutions
- Solve systems of three equations with three variables using elimination and matrices
- Use augmented matrices and row operations to solve systems efficiently
- Graph linear inequalities in two variables and identify solution regions
- Solve systems of linear inequalities and apply to linear programming problems
Lessons
Work through each lesson in order. Each lesson includes examples, interactive visualizations, and check-your-understanding questions.
Solving Systems of Two Equations
Master substitution, elimination, and graphical methods for solving systems of two linear equations.
Systems with Three Variables
Extend solving techniques to systems of three equations with three unknowns using systematic elimination.
Matrices & Systems of Equations
Use augmented matrices and row operations to solve systems efficiently and systematically.
Systems of Inequalities
Graph linear inequalities and solve systems of inequalities with applications to linear programming.
Assessments & Practice
Pre-Assessment
5 questions to gauge your starting knowledge
Not StartedPractice Problems
20 comprehensive problems with detailed solutions
Not StartedModule Quiz
15-question quiz (70% to pass)
Not StartedPost-Assessment
5 questions to measure your learning gains
Not StartedStudy Materials
Ready to Begin?
Start with the pre-assessment to see what you already know!