Properties of Equality

What property of equality states that the expressions on both sides of the equation may be interchanged?

• Transitive Property of Equality

• Substitution Property

• Reflexive Property of Equality

• Symmetric Property of Equality

x² + 3 = 10

• EXPRESSION

• EQUATION

x-4=26; where x=20

Is x=20 a solution or not?

• No. It is not a solution.

• Yes. It is a solution.

How many properties of equality did we discuss?

• 7

• 8

• 9

• 10

If 10x=100 then x=10

• Addition Property of Equality (APE)

• Subtraction Property of Equality (SPE)

• Multiplication Property of Equality (MPE)

• Division Property of Equality (DPE)

If m+a=27 and a=4

then m+4=27

• REFLEXIVE PROPERTY

• TRANSITIVE PRPERTY

• SUBSITUTION PROPERTY

• SYMMETRIC PROPERTY

If two quantities are both equal to a third quantity, then they are equal to each other.

• TRANSITIVE PROPERTY

• SYMMETRIC PROPERTY

• REFLEXIVE PROPERTY

• SUBSTITUTION PROPERTY

• Multiplication Property of Equality (MPE)

• Division Property of Equality (DPE)

• Addition Property of Equality (APE)

• Subtraction Property of Equality (SPE)

If y-8=3 then  y=11

• Subtraction Property of Equality (SPE)

• Division Property of Equality (DPE)

• Addition Property of Equality (APE)

• Multiplication Property of Equality (MPE)

• SUBSTITUTION PROPERTY

• REFLEXIVE PROPERTY

• TRANSITIVE PROPERTY

• SYMMETRIC PROPERTY