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Equations With No Solutions

Topic: Infinite And No Solution Equations

Topic: Infinite and No Solution Equations

Topic: Infinite and No Solution Equations

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

8.EE.C.7A, 8.EE.C.8B, 8.EE.C.7B

+1

Standards-aligned

Created by

Melissa Grier

Used 46+ times

FREE Resource

9 Slides • 11 Questions

1

Topic: Infinite and No Solution Equations

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2

Essential Questions

What are the different types of solutions for the equations?
What does it mean when an equation has no solution?
What does it mean when an equation has infinite solutions?

3

Open Ended

What do you think that one-solution means?

Type response here

4

Open Ended

What do you think that no solution means?

Type response here

5

Solve the following equation

Turn to your shared screen on zoom.

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6

Solve the following Equation

Turn to your shared screen on zoom.

Slide image

7

Open Ended

What are some things that you notice that are similar in each of these equations?What are somethings that you notice that are different?

Type response here

8

Open Ended

What do you think infinite solutions mean?

Type response here

9

Solve the following equation.

Turn to your shared screen on zoom.

Slide image

10

Solve the following equation

Turn to your shared screen on zoom.

Slide image

11

Open Ended

What are some things that you notice that are similar in each of these equations?What are somethings that you notice that are different?

Type response here

12

An equation has NO SOLUTION when:

An equation is in the form ax+b = ax+b (You have variables on both sides and you have distributed and combined like terms)
The coefficient of x is the SAME
The constant is DIFFERENT

13

An equation has INFINITE SOLUTIONS(Identity)

An equation is in the form ax+b = ax+b (You have variables on both sides and you have distributed and combined like terms)
The coefficient of x is the SAME
The constant of x is the SAME

14

Let's do a few examples!

Turn to your shared screen on zoom!

15

Multiple Choice

How many solutions does the following equation have?

2x\ +\ 2x+\ 2=\ 4x\ +\ 2

1

One Solution

2

No Solution

3

Infinite Solution

16

Multiple Choice

How many solutions does the following equations have?

3\left(x-1\right)=\ 2x\ +\ 9

1

One Solution

2

No Solution

3

Infinite Solutions

17

Multiple Choice

How many solutions does the following equations have?

2x\ +\ 8\ =\ 2\left(x\ +\ 4\right)

1

One Solution

2

No Solution

3

Infinite Solutions

18

Multiple Choice

How many solutions does the following equations have?

-2\left(x\ +\ 1\right)=-2x\ +\ 5

1

One Solution

2

No Solution

3

Infinite Solution

19

Multiple Choice

How many solutions does the following equations have?

4\left(x-1\right)=\ \frac{1}{2}\left(x\ -\ 8\right)

1

One Solution

2

No Solution

3

Infinite Solutions

20

Multiple Choice

How many solutions does the following equations have?

x+\ 2x\ +\ 7\ =\ 3x\ -\ 7

1

One Solution

2

No Solution

3

Infinite Solutions

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Topic: Infinite and No Solution Equations

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