Unit 4: Systems of Equations & Inequalities
In this unit, you will learn how to solve systems of linear equations and inequalities. You will explore multiple solution methods—graphing, substitution, and elimination—and apply them to real-world problems. By the end of this unit, you will be able to:
- Graph linear inequalities and determine solution regions.
- Solve systems of equations using graphing, substitution, and elimination.
- Apply systems of equations to word problems and real-life scenarios.
Unit Goals
- Solve systems of linear equations by graphing, substitution, and elimination.
- Interpret solution types: one solution, no solution, or infinitely many solutions.
- Solve and graph systems that include linear inequalities.
- Formulate and solve real-world problems using systems of equations.
- Check solutions and explain whether they satisfy each equation in a system.
Lessons in Unit 4
- Lesson 20 — Solving Systems by Graphing
- Lesson 21 — Solving Systems by Substitution
- Lesson 22 — Solving Systems by Elimination
- Lesson 23 — Applications of Systems (Word Problems)