Properties of Equality

Addition Property of Equality

if a=b then a+c=b+c

Subtraction Property of Equality

if a=b then a-c=b-c

Multiplication Property of Equality

If a=b, then a(c)=b(c)

Division Property of Equality

if a = b , then a/c = b/c

Distributive Property

a(b + c) = ab + ac

Substitution Property

to replace a value with an equivalent value

Reflexive Property

a=a m<A = m<A

Symmetric Property

if a=b, then b=a

Transitive Property

If a=b and b=c, then a=c

What is the first step for an equation reason?

Given

Counterexample

If you are in high school, then you attend Portage Northern. Counterexample: Some students attend Portage Central.

Conditional

p --> q

Converse

q -> p

Inverse

If not P, then not Q

Contrapositive

If not Q, then not P

Biconditional

a statement that contains the words "if and only if" (only happens when conditional and converse are both true