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1.2 Evaluate & Simplify Algebraic Expressions Algebra II
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Base ? Exponent ? Power ?
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Ex. 1: Evaluate the power 1.(-2) 3 = 2. -2 3 =
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Definitions Variable Algebraic expression Terms Variable term Constant term coefficient
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Order of Operations Know these!! Please Excuse My Dear Aunt Sally ( ) exponents multiply/divide (L to R) add/subtract (L to R)
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Ex. 2 Evaluate an algebraic expression Evaluate
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Ex. 3 You are selling fresh squeezed lemonade at a county fair for $2.50 per glass. You spend $180 to rent the stand and buy the ingredients & supplies you need. Write an expression that shows your profit from selling g glasses of lemonade. Find your profit if you sell 268 glasses of lemonade.
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Ex. 4 Simplifying by combining like terms a.) b.) c.) d.)
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Ex. 5 Simplify a mathematical model Yesterday, a store sold 60 recordable DVD’s. The Samsung DVD’s sell for $15 each, and the Verbatim DVD’s sell for $12 each. Write and simplify an expression that represents the store’s total income for the DVD sales yesterday if x represents the number of Samsung DVD’s sold. Then find the total income if 38 of the 60 DVD’s were Samsung.
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Assignment
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Ex: Simplify the expression. 1.6m 2 – 12m – 7m 2 = -m 2 – 12m 2.3(x-2) – 5(x-8) = 3x – 6 – 5x +40 = -2x + 34
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