
Introduction to Systems of Equations Word Problems
Presentation
•
Mathematics
•
8th Grade
•
Medium
Lauren Drum
Used 3+ times
FREE Resource
11 Slides • 11 Questions
1
Applying what we know about solving systems of linear equations in real life problems
Identifying & Setting Up
2
TODAY WE WILL BE FOCUSING ON SOLVING SYSTEMS WORD PROBLEMS
SUBSTITUTION
ELIMINATION
3
Let's work through setting up and solving an example together...
Get ready to write down the important information!
4
5
Clara's Information
Spent $120
Roses: 6
Daisies: 8
6
Miles' Information
Spent $116
Roses: 10
Daisies: 4
7
Get ready for some questions!
in 3, 2, 1...
8
Fill in the Blank
9
Multiple Choice
Your let statements should be...
Let x = $ of a rose bush
y = $ of a daisy pot
Let x = # of rose bushes
y = # of daisy pots
Let x = # of plants Clara buys
y = # of plants Miles buys
10
Remember, let statements...
Define the unknown variables
Are important for organizing your work
Should always be the first step in word problems
11
Fill in the Blank
12
Fill in the Blank
13
Now that we have our equations written
We need to decide what is the best method to use for solving!
14
Multiple Choice
What is the best method for solving this system of equations?
Substitution
Elimination
15
Multiple Select
What are the possible ways to successfully do the elimination method for this problem?
(there are more than one correct answer)
Eliminate x by multiplying the top equation by 10 and the bottom equation by 6
Eliminate x by multiplying the top equation by -10 and the bottom equation by 6
Eliminate x by multiplying the top equation by 10 and the bottom equation by -6
Eliminate y by multiplying the bottom equation by 2
Eliminate y by multiplying the bottom equation by -2
16
Multiple Choice
What is the resulting system of equation if you eliminate y by multiplying the bottom equation by -2?
6x + 8y = 120
20x - 8y = 232
6x + 8y = 120
20x + 8y = 232
6x + 8y = 120
-20x - 8y = -232
17
Fill in the Blank
18
Fill in the Blank
19
Multiple Choice
Which equation must you use to find the value of y next?
The original top equation
The original bottom equation
It doesn't matter, either original equation will work
20
Fill in the Blank
21
How do you represent the final answer?
You should say:
Each rose bush costs $8 and each pot of daisies costs $9.
22
Congratulations
You have completed this lesson!
Applying what we know about solving systems of linear equations in real life problems
Identifying & Setting Up
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