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# 1.3 Algebraic Expressions

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### Transcript of "1.3 Algebraic Expressions"

1. 1. 1.3 Algebraic Expressions<br />
2. 2. Order of Operations<br />P Parentheses (Grouping Symbols)<br />E Exponents<br />M Multiplication<br />D Division<br />A Addition<br />S Subtraction<br />
3. 3. Evaluate the expression by following the order of operations<br />
4. 4. Evaluate the expression by following the order of operations<br />
5. 5. From words to Algebraic Expressions<br />To write an algebraic expression that models a word phrase, look for words that suggest operations<br />Plus <br />Less than<br />Product<br />Half<br />Twice<br />
6. 6. Write an algebraic expression that models each word phrase<br />Four more than a number w<br />The product of 8 and the sum of a number x and 3<br />
7. 7. To model a situation with an algebraic expression:<br />Identify the action that suggests operations<br />Define one or more variables to represent the unknown(s)<br />Represent the actions using the variables and the operations<br />
8. 8. Example: write an algebraic expression that models each situation<br />You start with \$20 and save \$6 each week. <br />Mike had \$150, but he is spending \$2 each day.<br />
9. 9. Evaluating Algebraic Expressions<br />To evaluate an algebraic expression:<br />Substitute a number for each variable in the expression<br />Simplify using the order of operations (PEMDAS)<br />
10. 10. Example: Evaluate each expression for the given values of the variables<br />
11. 11. Example: Evaluate each expression for the given values of the variables<br />
12. 12. Definitions<br /><ul><li>A term is an expression that is a number a variable, or the product of a number and one or more variables.
13. 13. 3, w, 4x
14. 14. A coefficient is the numerical factor of a term
15. 15. 4x
16. 16. A constant is term with no variables.
17. 17. 6</li></li></ul><li>Definitions<br />Like terms have the same variables raised to the same powers.<br />To simplify algebraic expressions, combine like terms.<br />
18. 18. SIMPLIFY BY Combining LIKE TERMS<br />
19. 19. Simplify by combing like terms<br />
20. 20. Simplify by combing like terms<br />
21. 21. Simplify by combing like terms<br />
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