Addition Property of Equality
IF a=b THEN a+c=b+c
Additive Identity Property
a+0=a
Additive Inverse Property
a+(-a)=0
Associative Property of Addition
(a+b)+c=a+(b+c)
Associative Property of Multiplication
(a
b)
c=a
(b
c)
Commutative Property of Addition
a+b=b+a
Commutative Property of Multiplication
a
b=b
a
Distributive Property of Multiplication over Addition/Subtraction
a(b+c)=a
b+a
c AND a(b-c)=a
b=a
c
Division Property of Equality
a/c=b/c IF a=b
Multiplication Property of Equality
IF a=b THEN a
c=b
c
Multiplicative Identity Property
1*a=a
Multiplicative Inverse Property
a*1/a=1
Substitution Property
IF a=b THEN EITHER ONE CAN BE SUBSTITUTED FOR THE OTHER
Subtraction Property of Equality
IF a=b THEN a-c=b-c
Transitive Property of Equality
IF a=b AND b=c THEN a=c
Zero Product Property
IF a*b=0 THEN a=0, b=0, OR BOTH EQUAL ZERO.