If a = b then a+ c = b + c
Addition POE
If a = b then a x c = b x c
Multiplication POE
If a = b then a - c = b - c
Subtraction POE
If a = b then a/c = b/c.
Division POE
Property of equality
POE
Combining like terms
CLT
a + a = 2a
Combining like terms
a ( b + c ) = ab + ac
Distributive property
a = a
Reflexive property
If a = b then a can be substituted for b
Ex. If a = b and b + c = d then a
Substitution property
a + b = c
a + b = d
Transitive property
If a = b then b = a
Symmetric property
b x a = a x b or a + b = b + a
Commutative property
Associative property