This document discusses various properties of algebra, including: 1. The identity properties for addition and multiplication - adding or multiplying any number by 0 or 1, respectively, does not change the number. 2. The zero property of multiplication states that multiplying any number by 0 equals 0. 3. The inverse property states that two numbers whose product is 1 are multiplicative inverses (like 1/5 and 5). 4. The properties of equality, including reflexive, symmetric, and transitive properties are explained. The substitution property allows replacing equals with equals.

1. Algebra Properties Notes 1 - 4