Algebraic Properties Solving Equations

Identify the property of equality.
If -y=13, then
-(-y)=-13

• Addition
• Subtraction
• Multiplication
• Division

Identify the property of equality.
If 3x+y=14 and y=9, then 3x+9=14.

• Reflexive
• Symmetric
• Transitive
• Substitution

Identify the property of equality.
39=39

• Reflexive
• Symmetric
• Transitive
• Substitution

Identify the property of equality.
If 9=x, then x=9

• Reflexive
• Symmetric
• Transitive
• Substitution

Identify the property of equality.
If 2x-4=3x-1 and
 3x-1=4x+3,
then 2x-1=4x-7

• Reflexive
• Symmetric
• Transitive
• Substitution

Identify the property of equality.
If x+9=2,
then x+9-9=2-9

• Addition
• Subtraction
• Multiplication
• Division

What does the Reflexive property of equality states?

• If numbers are equal, they will still be equal if the order is changed. 
• A number is equal to itself. 
• If numbers are equal to the same number, then they are equal to each other.
• Subtracting the same number from both sides or an equation does not  change the equality of the equation. 

What does the Addition Property of Equality states? 

• Subtracting the same number from both sides or an equation does not  change the equality of the equation. 
• If numbers are equal to the same number, then they are equal to each other.
• A number is equal to itself. 
• Adding the same number from both sides or an equation does not  change the equality of the equation. 

What does the Subtraction Property of Equality states? 

• Subtracting the same number from both sides or an equation does not  change the equality of the equation. 
• If numbers are equal, they will still be equal if the order is changed. 
• A number is equal to itself. 
• Adding the same number from both sides or an equation does not  change the equality of the equation. 

Which property justifies the statement?

If x - 5 = 6, then x = 11.

• Addition Property of Equality

• Subtraction Property of Equality

• Substitution Property

• Mulitplication Property