An Introduction to Systems of Equations
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Subject Area: Mathematics (B.E.S.T.) | Grade Level: 9
Lesson Length: 30 minutes
Keywords/Tags: Systems of Equations, Linear Systems
Lesson Description: In this lesson, students will learn about the different types of solutions to systems of equations. This includes one solution, no solution and infinitely many solutions.

  • Other Other MGSE9-12.A.CED.3: Students will identify the number of solutions to a given system of equations.
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Video : Solving Systems of Equations
Instructions: Please watch the following video as many times as needed before starting to go through other lesson pages. For closed captions, click on the CC button at the bottom right of the screen. Take notes and write down some questions to bring to class. Understanding the content of the video is very important since the lesson activities will be all about this video content.
Description: Here's an overview on how to identify the solutions to a system of linear equations by graphing.
Quiz : Check for Understanding
Instructions: Please complete this quiz by choosing the correct answer for each question. You can take this quiz as many times needed.
Question #1
A system of equations is a set of two or more linear equations containing the same variables, usually x and y. 
Question #2

How many different types of solutions to a system of equations are there? 

Question #3

A system of equations containing only one solution would look like _______________________ when graphed. 

Question #4

A system of equations containing no solution would look like _______________________ when graphed. 

Question #5

A system of equations with infinitely many solutions would look like ____________________ when graphed. 

Question #6

Parallel lines have the same...

Question #7
Solutions to systems of equations can be written as ordered pairs (x, y). 
Question #8
If a system of equations contains two identical linear equations, their graphs would be parallel. 
Question #9

Look at the following system of equations. How many solutions would the system have? 

y = 2x + 5 

y = 2x - 7

Question #10

Look at the following system of equations. How many solutions would there be? 

y = -3x + 6

2y = -6x + 12

Description: Did you understand what was discussed in the video? Let's find out. Each question comes straight from the video, so if you are unsure, you may need to watch it again.
Forum : "Aha or Blah Blah"
Instructions: Read the posted questions, and respond to each. Students are responsible for posting one initial and and one peer response for each topic.
Aha or Blah Blah !
What was your "aha" moment while completing this lesson? What was a "blah blah" moment, or a moment where you felt most confused? Post your thoughts with a minimum of two sentences. Then, respond to a peer's post with a minimum of one sentence!
Description: There was a lot covered in this lesson. Take the time to reflect on what you learned and come up with your "Aha" and "Blah Blah" moments.
Resources : More with Systems!
Instructions: Please see additional external resources below. Feel free visit each link to learn more about this lesson.
Another Helpful Video.
Still want more information on how to graph systems of equations? Try watching this video.
How Many Solutions? Game
This game tests your knowledge on identifying the number of solutions to a given system of equations. Click the link to play!
Quizizz!
Take this Quizizz for some extra practice. Try to shoot for an 80% or higher!