Module 6: Systems

​Module 6
Introducing Systems of Equations
(Guided Notes)

3 methods:
1. Graphing
2. Substitution
3. Elimination

Multiple Choice

A ________________ is a set of two or more equations that have the same variables.

• solution of a system

• system of equations

First is graphing
When 2 lines are drawn on the same graph, there are 3 possible outcomes.

• The lines intersect

• The lines don't intersect

• The lines are on top of each other

​Watch the Youtube video below that corresponds with the guided notes given in class
Module 6 Lesson 1: Solving Systems by Graphing

https://youtu.be/Noeg8CXK9aM

Multiple Choice

What is the point of intersection?

• (4,2)

• (-2,1)

• Infinite Solutions

Multiple Choice

What is the point of intersection for the problem at the left, if any?

• (-2,1)

• No Solution

Multiple Choice

What is the point of intersection for the problem at the left, if any?

• (-3,0)

• (0,3)

• (3,0)

• (0,-3)

Method 2:
Systems of Equations: Substitution

Continue the guided notes given in class that corresponds to the following video:
https://youtu.be/ug8-rG68aQk

Systems of Equations Elimination

Combining Linear Equations

A.REI.5

I CAN solve a system of equations by elimination.

Continue the guided notes that correspond with the following video:
https://youtu.be/UA-GRFn6xfE

Last lesson for systems:
Solving Systems of Inequalities
1. Graph each inequality
2. Where the shading overlaps are the ordered pairs that are solutions

Watch this video to correspond with the guided notes
https://youtu.be/MiG2S06yAVw