1.3 Algebraic Expressions
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  • 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
  • 12. Definitions
    • A term is an expression that is a number a variable, or the product of a number and one or more 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.
    • 17. 6
  • Definitions
    Like terms have the same variables raised to the same powers.
    To simplify algebraic expressions, combine like terms.
  • 18. SIMPLIFY BY Combining LIKE TERMS
  • 19. Simplify by combing like terms
  • 20. Simplify by combing like terms
  • 21. Simplify by combing like terms