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
3. Seven fewer than a number t
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
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
SIMPLIFY BY COMBING LIKE TERMS
HOMEWORK
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