Chapter 5: Systems of Equations & Inequalities
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Chapter 5: Section Outline
Chapter 5: Section Outline
5.1 Solving Systems of Linear Equations by Graphing
5.2 Solving Systems of Linear Equations by Substitution
5.3 Solving Systems of Linear Equations by Elimination
5.6 Linear Inequalities in Two Variables
5.7 Systems of Linear Inequalities
5.7a Systems of Linear Inequalities
5.7b Word Problems
Section Objectives
Section Objectives
5.1 – Solving Systems of Linear Equations by Graphing
Students will solve systems of linear equations by graphing and determine whether a system has one solution, no solution, or infinitely many solutions (A.5E).
5.2 – Solving Systems of Linear Equations by Substitution
Students will solve systems of linear equations using substitution and justify their solutions algebraically and graphically (A.5E).
5.3 – Solving Systems of Linear Equations by Elimination
Students will solve systems of linear equations using the elimination method, including multiplying one or both equations as needed to create opposite coefficients (A.5E).
5.6 – Linear Inequalities in Two Variables
Students will write and graph linear inequalities in two variables and interpret the meaning of solutions in context (A.6D).
5.7a – Systems of Linear Inequalities
Students will solve systems of inequalities graphically and identify solution regions that satisfy both conditions (A.6D).
5.7b – Word Problems
Students will model and solve real-world problems using systems of linear inequalities, interpreting solutions within the context (A.6E).
TABLE OF CONTENTS:
TABLE OF CONTENTS:
📚 Not sure where to start? Click the section titles to access lessons, practice, and tools in one click.
📚 Not sure where to start? Click the section titles to access lessons, practice, and tools in one click.
Note Library
Note Library
Need a fresh copy of your notes? Click the buttons to download a PDF for each section.
Need a fresh copy of your notes? Click the buttons to download a PDF for each section.
These are the same guided notes we use in class—perfect for staying organized or catching up after an absence.
Independent Practice
Independent Practice
Practice assignments will appear here after we complete each lesson.
Practice assignments will appear here after we complete each lesson.
They may be worksheets or textbook problems, depending on the topic. Check back regularly to stay on track—no early access to homework! The expectation is if you do not finish this in class you are finishing it at home!
💡 Remember: Always attempt the work on your own before checking the answers. These keys are here to support your learning—not replace it!
Find the key by scrolling to the right!
Textbook Library
Textbook Library
Access the textbook pages we’re using in class by clicking the buttons.
Access the textbook pages we’re using in class by clicking the buttons.
These pages match your Big Ideas Math textbook and are great for reviewing examples, completing assignments, or getting extra practice at home.
Video Resources
Video Resources
Watch the videos linked below for step-by-step examples, topic reviews, and helpful tips.
These videos align with what we’re learning in class and are great for getting ahead, extra support, review, or catching up if you’ve been absent.
5.1 Solving Systems of Linear Equations with Graphing.mp45.1
5.2 Solving Systems of Linear Equations by Substitution .mp45.2
5.3 Solving Systems of Linear Equations by Elimination5.3
5.6 Linear Inequalities in Two Variables .mp45.6
5.7A Systems of Linear Inequalities .mp45.7a
5.7b5.7b
Note Answer Keys
Note Answer Keys
Missed something in class or were absent? Answer keys will be posted here at the end of the day we complete a lesson.
Missed something in class or were absent? Answer keys will be posted here at the end of the day we complete a lesson.
Use them to review, fill in anything you missed, and make sure your notes are complete and accurate.
Click on the section titles to jump to the notes you need. You can scroll through without opening a new window. Slides also include a home button to return to the main page for easy navigation.
Extra Materials & Resources
Extra Materials & Resources
Looking for more ways to practice or dive deeper? This section includes optional review sheets, challenge problems, formula reference pages, and other helpful tools to support your success in Algebra 1. Use these resources to strengthen your understanding or get ahead!
Optional Extra Practice Worksheets
Optional Extra Practice Worksheets
The only way to get better at math is to PRACTICE!!
Below are some links to extra practice worksheets. Answer keys can be found on the last page of the PDF.
Extra Video Resources
Extra Video Resources
There are tons of videos online, and it can feel overwhelming to sort through them all. I’ve already done the work of finding some that match what we’re learning in class.
Use the videos below if you’d like another explanation of the topic—or if you just want some extra practice!
Solving Systems:
All THREE METHODS & Special Cases
Solving Systems by GRAPHING
Solving Systems by SUBSTITUTION
Solving System by ELIMINATION
COMING SOON!
COMING SOON!
COMING SOON!
COMING SOON!
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