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Solving Equations and Problems Solving
Section 3.1
Simplifying Algebraic


In algebra letters called variables represent numbers.
The addends of an algebraic expression are 

A term that is only a number is called a
constant term, or simply a constant. A term that contains a variable is called a variable term.


The number factor of a variable term is called
the numerical coefficient . A numerical coefficient of 1 is usually not written.


Terms that are exactly the same, except that
they may have different numerical coefficients are called like terms .


A sum or difference of like terms can be simplified using the distributive property.
Distributive Property 

By the distributive property, 

The commutative and associative properties of addition and multiplication help simplify expressions.
Properties of Addition and Multiplication 

The grouping of numbers in addition or multiplication can be changed without changing their sum or product .
Associative Property of Addition 

Examples of Commutative and Associative Properties


We can also use the distributive property to multiply expressions.
The distributive property says that 

To simply expressions, use the distributive property first to multiply and then combine any like terms.
Simplify: 3(5 + x)  17


Finding Perimeter
Perimeter is the distance around the figure. 

Finding Area


Don’t forget . . .
Perimeter: 
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