Systems of Linear Equations: Graphing
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
+6
Standards-aligned
Stephanie Perretta
Used 12+ times
FREE Resource
6 Slides • 14 Questions
1
Solving Systems of Linear Equations: Graphing
Start-Up Mission:
Log into Quizizz.
Go to joinmyquiz.com
Enter the student code displayed.
Then answer Chat Question of the Day.
Lesson Essential Question:
How does one solve real-world problems by graphing systems of linear equations?
Chat Question of the Day:
(Answer the following question in the private Zoom chat.)
What activities make you lose track of time because you enjoy them so much?
2
Graphing Review
How do you graph linear equations using slope-intercept and standard form?
3
Graphing
Graph a line that represents the following situation:
Erika has a 1 meter head start and rides her bike at a constant rate of 2 meters for every 3 seconds.
4
Graphing
Graph the equation: y = −31x+2
5
Multiple Select
Why do we draw a line through plotted points of a linear equation?
(Select all that apply.)
To represent all of the infinite points that make the equation true
To demonstrate variables come before numbers
6
Draw
Read the following situation:
Your friend's family decides to rent a room on AirBnB. They spend $600 preparing a bedroom to rent. The cost for your friend's family for utilities and supplies is $15 per night. They charge $75 a night to rent the bedroom.
7
Definition: A system of linear equations, also known as a linear system, consists of two or more linear equations with the same variables.
For example, the two equations we wrote from the previous slide is a system of linear equations:
Total Cost to Rent: y = 15x + 600
Revenue (income): y = 75x
8
Graphing Linear Systems
Costs: y = 15x + 600
Revenue (income): y = 75x
9
Open Ended
Do you notice anything that happens when we graph both lines?
10
Definition: A solution to a system of linear equations is an ordered pair (x, y) that makes both equations true. When we graph a linear system, the point of intersection is the solution.
(2, 5)
y = - x + 7
5 = - 2 + 7
5 = 5
True
(2, 5)
y = 2x + 1
5 = 2 (2) + 1
5 = 4 + 1
True
11
Multiple Choice
What is the solution to this linear system?
y = 15x + 600
y = 75x
The solution is x = 10 & y = 750.
(10, 750)
The solution is x = 750 & y = 10.
(750, 10)
The solution is x = 0 & y = 600.
(0, 600)
12
Draw
How do you know (10, 750) is the solution to the linear system below?
y = 15x + 600
y = 75x
(Show your work.)
13
Drag and Drop
This means: After
14
RECAP:
What have you learned?
15
Multiple Choice
What is the solution to a graphed linear system?
the y-intercept
the x-intercept
the point of intersection
16
Multiple Choice
What is the solution the linear system?
(-2, 1)
(-1, 2)
(2, -1)
(1, -2)
17
Multiple Choice
18
Multiple Choice
Is (-2, 3) the solution to the linear system: y = 3x + 9 and 2x + y = - 8 ?
No
Yes
19
Poll
How do you feel about the lesson?
I could teach this to someone else!
I got it!
Engaged, but I need a little more practice.
I was distracted today. Will you review this with me again?
20
Word Cloud
How should we review in our next game day?
Solving Systems of Linear Equations: Graphing
Start-Up Mission:
Log into Quizizz.
Go to joinmyquiz.com
Enter the student code displayed.
Then answer Chat Question of the Day.
Lesson Essential Question:
How does one solve real-world problems by graphing systems of linear equations?
Chat Question of the Day:
(Answer the following question in the private Zoom chat.)
What activities make you lose track of time because you enjoy them so much?
Show answer
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