Order of values does not matter
Commutative Property
Stays the same
Identity Property
3x + 1 = 1 + 3x
Commutative Property
x = x
Reflexive property
What is Ms. Ulber's favorite color
Pink
Grouping of values does not matter
Associative Property
Using opposite to "Cancel" a value
Inverse property
5x + 0 = 5x
Identity Property
If 2x = 6, then 6 = 2x
Symmetric Property
What pets does Ms. Ulber have?
3 cats, 1 dog
Multiply a value to an expression
Distributive Property
Multiplying by 0 always equals 0
Property of 0
(7x) * 0 = 0
Property of Zero
-6 (x+y) = -6x + -6y
Distributive Property
What school did Ms. Ulber go to?
SIUC
A value always equals itself! a = a
Reflexive Property
If a = b, then b = a
Symmetric Property
5 + (-5) = 0
Inverse Property
If 5^2 = 25 and 25 = 24 + 1, then 25 = 24 + 1
Transitive Property
What is Ms. Ulber's favorite animal?
Cow
If a = b and b = c, then a = c
Transitive Property
A set is closed if the operation always produces an element of the same set. If an element outside the set is produced, then the operation is not closed.
Closure property
Associative Property
If x = -1, and -1 = z, then x = z
Transitive Property
What are Ms. Ulber's kids names?
Myles and Micah!