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# Solving Systems of Equations by Graphing

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Author: James Bailey
##### Description:

Upon completion of this lesson, students will be able to

(1) substitute an ordered pair into a given system of equation and determine whether the ordered pair is a solution to the system or not.

(2) graph a system of equations and identify common points as the solution(s) to the system.

This lesson will begin by defining a system of linear equations and solution to a systme of linear equations. It moves onto identifying ordered pairs as either being solutions to linear equations or not being solutions of linear equations. Finally, students learn to graph linear systems and identify the solution from the graph.

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Tutorial

## Solving Systems of Linear Equations by Graphing

1. Watch the videos or read section 5.1 (page 329) in the text.

2. Take notes on your success packet, filling in the blanks and writing any extra notes that you may need to remember anything. If you forgot to bring yours home, print one from below.

3. Do the first set of practice problems in the success packet in your notebook.

4. Complete the 5.1 Summary Questions (WSQ) in the form at the bottom of this tutorial.

5. Complete the Sophia quiz for this tutorial (on the right).

## Success Packet - Lesson 5.1-Solving Systems of Equations by Graphing

This packet includes guided notes, practice problems, and a sample quiz for lesson 5.1.

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## Lesson 5.1 - Determine whether an ordered pair is a solution to a system of linear equations

In this lesson, we learn how to substitute ordered pairs into systems of equations. If the ordered pairs satisfy both equations, we say the ordered pair is a solution to the system.

## Lesson 5.1 B - Solving systems of Linear Equations by Graphing

In this video, we learn how to graph the lines included in a system of equations and find their point of intersection. We report this point as the solution to the system.

## Printable Notes from the Two Videos

These are the notes from the two 5.1 videos. You should download and print.

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## 5.1 Summary Questions

Answer the questions on this form and submit. This is required upon completing the videos. You have to scroll all the way to the right first, so you can scroll down.