1. Inverse Property of Addition
Fold over and glue this in your Math Journal
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Multiplication
Inverse Property of Addition
Application of the Properties of Operations

2. The product of any number and 1 is that number.
Reordering the terms does not change the value of the expression. (3+14) + 27 = (14+3) + 27
Regrouping the terms does not change the value of the expression. (14+3) + 27 = 14 + (3+27)
Distributing the common factor does not change the value of the expression (3+27) = (1+9)
The product of any number and 1 is that number.
1 x 4 + (3 – 7) = 4 + (3 – 7)
The sum of a number and its opposite is always 0. Remember, 4 – 4 is equivalent to 4 + (– 4).
4 + (3 – 7) = 4 – 4 = 0
You can apply properties of operations to a variable expression to create equivalent expressions.
Property
(3x + 14) + 27 = (14 + 3x) +27 Commutative (14 + 3x) + 27 = 14 + (3x + 27) Associative 14 + (3x + 27) = (x + 9) Distributive