How Many Solutions?

How Many Solutions?

Presentation

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

8.EE.C.7A

Standards-aligned

Created by

Marissa Sowers

Used 291+ times

FREE Resource

4 Slides • 8 Questions

1

How Many Solutions?

A review of the 3 types of solutions to equations

Slide image

2

Infinitely Many Solutions

True mathematical statement
Example 3=3
The coefficients on the variables will be the SAME on both sides of the equation, and the remaining numbers to be the SAME.
Example: 4x+15=4x+15

3

One Solution

Solve for the variable, ends with the variable equal to ONE number.
Ex. x=3
The coefficients on the variables will be DIFFERENT
Ex. 5x+30=7x+30

4

No Solution

Ends with a FALSE mathematical statement
Ex. 4=8
The coefficient on the variable will be the SAME, much like with a true statement. But, the remaining numbers will be DIFFERENT.
Ex. -7x+10= -7x+15

5

Multiple Choice

3x+2=2+3x

1

One Solution

2

No Solution

3

Infinitely Many

6

Multiple Choice

2(x+3)=2x+6

1

One Solution

2

No Solution

3

Infinitely Many

7

Multiple Choice

-3x-5+5x=2(x+7)

1

One Solution

2

No Solution

3

Infinitely Many

8

Multiple Choice

10+3x=5(x-2)

1

One Solution

2

No Solution

3

Infinitely Many

9

Multiple Choice

-x-(-10)= -(x-10)

1

One Solution

2

No Solution

3

Infinitely Many

10

Multiple Choice

-6+3x-(-8x)=12x+(-3)-5x

1

One Solution

2

No Solution

3

Infinitely Many

11

Multiple Choice

6(x+6)-6x=-6(x-6)+6x

1

One Solution

2

No Solution

3

Infinitely Many

12

Multiple Choice

-8(x-(-8))+8x=8(x+8)+8x

1

One Solution

2

No Solution

3

Infinitely Many

pattern-tertiary

How Many Solutions?

A review of the 3 types of solutions to equations

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