Properties

http://www.coolmath.com/prealgebra/07-properties/05-properties-distributive-01.htm

The distributive property is the second property in my list. This has to do with solving equations. This property consists on pairing variables with variables and numbers with numbers. You can also say it apples with apples and pears with pears. Whenever you are solving an equation you have to put variables on one side and numbers on the other side.

Here is an example: -3x+10=12x-20
10+20=12x+3x
30=15xhttp://schools-wikipedia.org/wp/c/Commutativity.htm

The commutative property is very important for it has to do with addition and multiplication inside equations. This property states that when you multiply or add any number you can do it in any order. This means that if you multiply 5*10, it is the same than 10*5. Its the same for addition; 5+10 is the same to 10+5. If an equation has division or subtraction inside the equation, changing its order changes your answer. (10/2=5 and 2/10=.2)

The third property to have in mind is how to pass it from expanded form to make an equal equation in factored form.

• This is an equation in expanded form: 3x+15.
• This is an equation in factored form: 3(x+5)

To pass from expanded form to factored form you must find a common factor to divide both numbers with and have as less addition or subtraction possible for factored form equations are made to have smaller equations for easier use.