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1.5 Distributive Property Objective: Use the distributive property to evaluate expressions. Use the distributive property to simplify algebraic expressions. Standards: 8/25/11
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Think about it:Instant Replay Video Games sells new and used games. During a sale, the first 8 customers each bought a bargain game and a new release. To calculate the total sales for these customers, you can use the distributive property. Can you think of 2 different ways to find the total sales? Used Games Bargain Games Regular Games New Releases $9.95$14.95$24.95$34.95
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Distributive Property a(b + c) = ab + ac a(b – c) = ab – ac **Common misuse of the Distributive Property a(b ∙ c) = ab ∙ ac
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Example 1: Grace walks 5 days a week. She walks at a fast rate for 7 minutes and cools down for 2 minutes. Find the total number of minutes she walks in a week. Example 2: Use the distributive property to rewrite 12(98). Then evaluate.
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TermA number, variable, or a product/quotient of numbers and variables. Ex: x, a 3, 3x 2 y Like - TermsMultiple terms that contain the same variables that have the same power. Ex: 3x 3 and -7x 3 Simplest FormAn expression with no like terms and no parentheses.
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Example 3:Simplify so it’s in simplest form. a.12(y + 3) b.4(y² + 8y + 2) c.3x 3 + 5x – 2(x – 4x 2 ) + 7x 2
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Sum It Up Imagine you’re helping another student on the phone simplify the following problem. Write out, in words, how you would describe it to them. 4(x – 3) + 5
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Assignment Pg.29 12-18, 20-38 evens, 48, 49, 58-60
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