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# Pa2 3 Simplifying Algebraic Expressions

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Chapter 2, Section 3: Simplifying Algebraic Expressions/Combining Like Terms.

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### Pa2 3 Simplifying Algebraic Expressions

1. 1. Ms. Dewey-Hoffman, 2009 2-3: Simplifying Algebraic Expressions
2. 2. IDing Parts of an Algebraic Expression Any thing separated by addition or subtraction is a TERM . A term that has NO variable is a CONSTANT . Any number that multiplies a variable is a COEFFICIENT . 7a 4a 3b 6 + + - 7a 4a 3b 6 + + - 7 a 4 a 3 b 6 + + -
3. 3. Parts of an Algebraic Expression/ Combining Like Terms Terms that have identical variables and exponents are LIKE TERMS . To SIMPLIFY Expressions with Like Terms, add or subtract them. If there are NO Like Terms, then you cannot simplify any more. 7a 4a 3b 6 + + - 8c ² 4a -2c³ 9 + + +
4. 4. Name the coefficients, like terms and constants. <ul><li>There are 3 things they want from you, so get all 3!!! </li></ul><ul><li>6 + 2s + 4s </li></ul><ul><li>Coefficients: 2 and 4 </li></ul><ul><li>Like Terms: 2s and 4s </li></ul><ul><li>Constants: 6 </li></ul><ul><li>9m + 2r – 2m + r </li></ul><ul><li>Coefficients: 9, 2, and –2 </li></ul><ul><li>Like Terms: 9m and –2m </li></ul><ul><li>Constants: none </li></ul>
5. 5. Like Terms and the Distributive Property <ul><li>Simplify 5y + y = </li></ul><ul><li> = 5y + 1y  Identity Property of Multiplication </li></ul><ul><li> = (5 + 1)y  Distributive Property: Pull out Pikachu. </li></ul><ul><li> = (6)y  Simplify: PEMDAS </li></ul><ul><li> = 6y  Can’t simplify more because x is unknown. </li></ul><ul><li>Simplify: </li></ul><ul><li>-4m – 9m </li></ul><ul><li>p + 6p – 4p </li></ul>
6. 6. Evaluate. Justify each step . <ul><li>6y + 4m – 7y + m = </li></ul><ul><li> = 6y + 4m + (-7y) + m  Turn Subt. Into Addition. </li></ul><ul><li> = 6y + (-7y) + 4m + m  Comm. Prop of Addition. </li></ul><ul><li> = -1y + 5m  Simplify, Combine Like Terms </li></ul><ul><li> = -y + 5m </li></ul>These are the steps for Justifying. 7r + 6t – 3r – 13t =
7. 7. #17 <ul><li>Page 80: 4-32 all. </li></ul><ul><li>Be sure to read the directions! If they ask you to justify each step then show each step and why you did it! </li></ul>