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How many solutions does an equation have?
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
Standards-aligned
Kimberly Bayer
Used 12+ times
FREE Resource
4 Slides • 14 Questions
1
How many solutions does an equation have?
One Solution, No Solution,
or Infinite Solutions?

2
Ex 1: One Solution
3(2x+3) = -39
3
Poll
If an equation has ONE SOLUTION, then it is...
Always True
Sometimes True
Never True
4
Ex 2: No Solution
-12x + 2 = -12x + 7 Same x term, but different constants.
5
Multiple Choice
If an equation has NO SOLUTION, the final line of work will be a _ statement.
True
False
6
Poll
If an equation has NO SOLUTION, then it is...
Always True
Sometimes True
Never True
7
Ex 3: Infinite Solutions
-5x + 1 = -5x + 1 Same thing on both sides...
Also called an IDENTITY
8
Multiple Choice
If an equation has INFINITE SOLUTIONS, the final line of work will be a _ statement.
True
False
9
Poll
If an equation has INFINITE SOLUTIONS, then it is...
Always True
Sometimes True
Never True
10
Multiple Choice
How many solutions does the equation have?
4x−8=0
One Solution
No Solution
Infinite Solutions
11
Multiple Choice
How many solutions does the equation have?
3(x+8)=24+3x
One Solution
No Solution
Infinite Solutions
12
Multiple Choice
How many solutions does the equation have?
2(x−6)=2(x+4)−20
One Solution
No Solution
Infinite Solutions
13
Multiple Choice
How many solutions does the equation have?
−x−8=7−x
One Solution
No Solution
Infinite Solutions
14
Multiple Choice
How many solutions does the equation have?
3(2−3x)=−8x+2
One Solution
No Solution
Infinite Solutions
15
Open Ended
How can you tell if an equation will have NO SOLUTION?
16
Open Ended
How can you tell if an equation will have INFINITE SOLUTIONS?
17
Multiple Select
Which of the following is another way of saying that an equation has NO SOLUTION?
SELECT ALL THAT APPLY
All Real Numbers
The Empty Set
x∈R
{ }
18
Multiple Select
Which of the following is another way of saying that an equation has INFINITE SOLUTIONS?
SELECT ALL THAT APPLY
All Real Numbers
The Empty Set
x∈R
{ }
How many solutions does an equation have?
One Solution, No Solution,
or Infinite Solutions?

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