1. 1.3 Algebraic Expressions

2. Order of Operations P Parentheses (Grouping Symbols) E Exponents M Multiplication D Division A Addition S Subtraction

3. Evaluate the expression by following the order of operations

4. Evaluate the expression by following the order of operations

5. 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

6. Write an algebraic expression that models each word phrase Four more than a number w The product of 8 and the sum of a number x and 3

7. 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

8. 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.

9. Evaluating Algebraic Expressions To evaluate an algebraic expression: Substitute a number for each variable in the expression Simplify using the order of operations (PEMDAS)

10. Example: Evaluate each expression for the given values of the variables

11. Example: Evaluate each expression for the given values of the variables

13. 3, w, 4x

14. A coefficient is the numerical factor of a term

15. 4x

16. A constant is term with no variables.

18. SIMPLIFY BY Combining LIKE TERMS

19. Simplify by combing like terms

20. Simplify by combing like terms

21. Simplify by combing like terms