Determining the Number of Solutions to an Equation

How many solutions does the following equation have? 
5x + 4 = 5x + 4

• Infinite
• One
• None

How many solutions does the following equation have? 
-8x + 4 = 2x - 3

• One
• None
• Infinite

How many solutions does the following equation have? 
18x - 12 = 18x + 5

• One
• None
• Infinite

How many solutions does the following equation have? 
17x - 5 = 17x + 5

• One
• None
• Infinite

How many solutions does the following equation have? 
-23x + 7 = -23x + 7

• One
• None
• Infinite

An equation has infinite solutions if... 

• the variables and constants are different. 
• the variables are the same, but the constants are different. 
• the variables and constants are the same.
• the variables are different, but the constants are the same. 

An equation has no solutions if...

• the constants and variables are different.
• the constants and variables are the same. 
• the constants are the same, but the variables are different.
• the variables are the same, but the constants are different.

An equation has one solution if....

• the variables are different, but the constants are the same. 
• the variables are the same, but the constants are different. 
• the variables and constants are different. 
• the variables and constants are the same. 

Which of the following equations has only one solution? 

• x + 4 = x + 3
• -2x + 4 = -2x - 4
• 3x = 3x
• 4x - 2 = 2x - 4

Which of the following equations would have infinite solutions? 

• 4x - 4 = 4x - 4
• 5x + 4 = 12x - 9
• 5x + 7 = 5x - 7
• 4x - 8 = 4x - 9