
Solving equations with special solutions
Presentation
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Medium
+6
Standards-aligned
Dona Rich
Used 22+ times
FREE Resource
4 Slides • 10 Questions
1
Solving equations with special solutions
2
Open Ended
Go to Google Classroom and work on the Kami assignment(#021) . There are two equations for you to solve. Come back and be prepared to discuss both problems in 5 minutes.
When you have completed it, come back to google meet so we can look at it together.
3
No Solution (NS)
Note that we have variables on both sides of the equation. So we will subtract 3x from both sides to eliminate the 3x on the right side of the equation. However, something odd happens
That can't be right! We know that 5 does not equal 2.
It is a false statement to say that 5=2, so we know that there can be no solution.
4
Infinite solution (IS)
We have variables on both sides of the equation. So we will subtract 3x from both sides to eliminate 3x on the right side of the equation. However, something odd happens.
When does 2 = 2? All the time! This means that i does not matter what value we substitute for x, the equation will always be true.
Sometimes we use the infinity symbol♾️ to represent infinite solutions.
5
Fill in the Blanks
Solve:
3(2x+2)−3x=6+3xType answer...
6
Fill in the Blanks
6(2x−6)=−7(−2x+4)
Type answer...
7
One Solution
Let's not forget what we already know!
We have looked at equations where there is exactly 1 solution
8
Fill in the Blanks
8(5x−3)=6(−3x−4)
Type answer...
9
Fill in the Blanks
3x−13=7(x+2)−4(x−7)
Type answer...
10
Multiple Choice
What is the solution to this equation?
2x+5=2x−3x=2
Infinite Solutions (IS)
No Solution
11
Multiple Choice
Solve:
2x+1=2x−1No Soltuion (NS)
Infinite Soltion (All Real Numbers)
x=0
12
Multiple Choice
3x+15=3(x+5)
No Solution (NS)
Infinite Solution( All Real #'s, IS)
x=15
13
Multiple Choice
3x−8=3(x−4)+1
x =619
Infinite soltuions (all real #'s, IS)
No Soltuion (NS)
14
Poll
How do you feel about today's lesson?
I took teach this to a student who was absent
With some practice I know I will get better
I might need you to look at my answers when I'm working independently but I know I can do it.
I have no idea where the numbers were coming from.
Solving equations with special solutions
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