1.3 ALGEBRAIC EXPRESSIONS

ORDER OF OPERATIONS

P Parentheses (Grouping Symbols)E ExponentsM MultiplicationD DivisionA AdditionS Subtraction

EVALUATE THE EXPRESSION BY FOLLOWING THE ORDER OF OPERATIONS

EVALUATE THE EXPRESSION BY FOLLOWING THE ORDER OF OPERATIONS

FROM WORDS TO ALGEBRAIC EXPRESSIONS

To write an algebraic expression that models a word phrase, look for words that suggest operations Plus Less than Product Half Twice

WRITE AN ALGEBRAIC EXPRESSION THAT MODELS EACH WORD PHRASE

1. Four more than a number w

2. The product of 8 and the sum of a number x and 3

TO MODEL A SITUATION WITH AN ALGEBRAIC EXPRESSION:

Identify the action that suggests operations Define one or more variables to represent the

unknown(s) Represent the actions using the variables

and the operations

EXAMPLE: WRITE AN ALGEBRAIC EXPRESSION THAT MODELS EACH SITUATION

You start with $20 and save $6 each week.

Mike had $150, but he is spending $2 each day.

EVALUATING ALGEBRAIC EXPRESSIONS

To evaluate an algebraic expression:1. Substitute a number for each variable in the

expression2. Simplify using the order of operations (PEMDAS)

EXAMPLE: EVALUATE EACH EXPRESSION FOR THE GIVEN VALUES OF THE VARIABLES

EXAMPLE: EVALUATE EACH EXPRESSION FOR THE GIVEN VALUES OF THE VARIABLES

DEFINITIONS

A term is an expression that is a number a variable, or the product of a number and one or more variables. 3, w, 4x

A coefficient is the numerical factor of a term 4x

A constant is term with no variables. 6

DEFINITIONS

Like terms have the same variables raised to the same powers.

To simplify algebraic expressions, combine like terms.

SIMPLIFY BY Combining LIKE TERMS

SIMPLIFY BY COMBING LIKE TERMS

SIMPLIFY BY COMBING LIKE TERMS

SIMPLIFY BY COMBING LIKE TERMS