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Retakes: -Turn in quiz corrections -Retakes Thursday and Friday at lunch, or as arranged before the end of next week. Today’s Plan -Correct -Combining Like Terms review and practice Assign. #21 2-9 Homework & Practice with Reteach or Challenge odds or evens on graph paper w/work 10/14/08 Like TermsPractice 2-9 #21
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Terms in an expression are separated by + and –. A term can be a number, a variable, or a product of numbers and variables. 7x + 5 – 3y 2 + y + x3x3 term Coefficient: a number that is multiplied by a variable CoefficientVariable term 10/14/08 Like TermsPractice 2-9 #21
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Like terms are terms with the same variable raised to the same power. Constants, like 5,, and 3.2, are also like terms. 1212 Like Terms Unlike Terms 3x and 2x 5x 2 and 2x The exponents are different. 3.2 and n Only one term contains a variable 6a and 6b The variables are different w and w7w7 5 and 1.8 10/14/08 Like TermsPractice 2-9 #21
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Insert Lesson Title Here Course 2 2-9 Combining Like Terms Identify like terms in the list. 2x 4y 3 8x 5z 5y 3 8z Look for like variables with like powers. Like terms: 2x and 8x 4y 3 and 5y 3 5z and 8z 2x 4y 3 8x 5z 5y 3 8z
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Insert Lesson Title Here Course 2 2-9 Combining Like Terms x Combining like terms is like grouping similar objects. += x x x xx x xx xxxx x xxxx 4x4x+5x5x =9x9x To combine like terms that have variables, add or subtract the coefficients.
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Combine like terms. Course 2 2-9 Combining Like Terms A. 6t – 4t 2t2t 6t and 4t are like terms. Subtract the coefficients. B. 45x – 37y + 87 In this expression, there are no like terms to combine.
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Combine like terms. Additional Example 2C: Combining Like Terms Course 2 2-9 Combining Like Terms C. 3a 2 + 5b + 11b 2 – 4b + 2a 2 – 6 3a 2 + 5b + 11b 2 – 4b + 2a 2 – 6 5a 2 + b + 11b 2 – 6 Identify like terms. Add or subtract the coefficients. (3a 2 + 2a 2 ) + (5b – 4b) + 11b 2 – 6 Group like terms.
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Insert Lesson Title Here Course 2 2-9 Combining Like Terms Combine like terms. C. 4x 2 + 4y + 3x 2 – 4y + 2x 2 + 5 9x 2 + 5 4x 2 + 4y + 3x 2 – 4y + 2x 2 + 5 (4x 2 + 3x 2 + 2x 2 )+ (4y – 4y) + 5
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Assignment: 2-9 Homework & Practice with Reteach or Challenge -odds or even (different than neighbor) -On graph paper -Show all work Retakes: -Turn in quiz corrections first 10/14/08 Like TermsPractice 2-9 #21
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