Linear Equations Solutions

Number of Solutions to Linear Equations

By Ashley Lujano

Open Ended

How are you feeling today?

Poll

Which one?

A variable is a LETTER representing an unknown number​

​

​What is a variable?

​

Multiple Choice

Which one is NOT a variable

• x

• y

• 100

Open Ended

What is an example of a variable?

Multiple Choice

$$4x+6=\ 37$$  

Which is the variable?

• x

• 37

• 4

Multiple Choice

Identify the variable:

$$y+\ 15=\ 37$$  

• y

• 15

• 37

Multiple Choice

Identify the variables

3x + 1 = y

• x, y

• 3, x

• 3, 1

Poll

Pick One

Types of Solutions

NO SOLUTION	​ONE SOLUTION	​INFINITE SOLUTIONS
​a ≠ b	​x = a	​a = a
​It is a FALSE statement . A does NOT equal B 5≠ 4	​x equals a number x = 5	​It is a true statement since numbers are equal 4 = 4

​

​It is a false statement.

A does NOT equal B.

​

​

​x + 3 = x+ 5

-x​ -x

​ 3 ≠​ 5​

​a ≠ b

4 ≠​ 10

​Equations with NO solutions

​

Multiple Choice

Which is a FALSE statement?

• 10 = 10

• 3 = 3

• 10 = 3

Multiple Choice

Which is a FALSE statement?

• 100 =100

• 3 > 3

• 10 > 1

Multiple Choice

Which is a FALSE statement?

• 13 = 20

• 1 < 3

• 86 > 60

Poll

Pick One:

​

x= a

X equals a number ​

​

​Equations with ONE solution

​

​x= a

x = 10​

​x + 7= 17

-7 -7​​

x= 10​

​

​

Multiple Choice

Solve:

$$x+5=15$$  

• x=20

• x= 10

• x=5

Multiple Choice

Solve:

x + 12= 24

• 20

• 10

• 12

Multiple Choice

Solve:

3x = 9

• x= 9

• x = 3

• x= 6

Multiple Choice

Solve:

$$\frac{x}{2}=\ 4$$  

• x = 8

• x = 2

• x = 10

Multiple Choice

Solve:

x - 6 = 7

• x = 1

• x = 15

• x= 42

Multiple Choice

Solve:

10x= 60

• x= 600

• x=6

• x=10

Multiple Choice

Solve:

x + 4 = 12

• x = 8

• x = 12

• x =3

Poll

Pick One:

It is a true statement since numbers are equal.

​

​

​

​

​Equations with INFINITE solutions

​

​a= a

4 = 4​

2​x + 4 = 2x + 4

-2x -2x

4=4 ​

​

​

Multiple Choice

Which statement IS TRUE?

• 4 = 4

• 11 = 10

• 10 = 4

Multiple Choice

Which statement IS TRUE?

• 4 = 12

• 12 > 10

• 10 < 10

Multiple Choice

Which statement IS TRUE?

• 14 > 7

• 12 < 3

• 16 = 12

Poll

Which one?

Solving Equations Practice ​

Multiple Choice

Solve:

x + 10 = 10

• One solution

  x = 0

• No Solution

• Infinite Solutions

Multiple Choice

Solve:

x + 4 = x+ 10

• One solution

  x = 6

• No Solution

• Infinite Solutions

Multiple Choice

Solve:

2x + 4 = 2x+ 4

• One solution

  x = 2

• No Solution

• Infinite Solutions

Multiple Choice

Solve:

3x + 1 + 3 = 3x+ 4

• One solution

  x = 1

• No Solution

• Infinite Solutions

Multiple Choice

Solve:

5x + 2 + 1 = 5x+ 6

• One solution

  x = 5

• No Solution

• Infinite Solutions

Multiple Choice

Solve:

2x + 2 = 8

• One Solution

  x = 3

• No Solution

• Infinite Solutions

Poll

How do you feel about this lesson?

• I understand this

  and can teach others

  😁

• I understand this but need more practice

  😌

• I still need help

  🤨

• I do not understand this at all

  🙁

Poll

Which one?

Poll

Which one?

Open Ended

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​ALL DONE !!!!!!!!!