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ALGEBRA 1 HELP Warm Ups 1.) 2(-4)(-6) 2.) s 2 t ÷ 10 if s = -2 and t = 10 3.) (-3) 2 - 4 2 4.) -52 ⁄ -13 5.) What is the multiplicative inverse of - ⅗ ?

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ALGEBRA 1 HELP ALGEBRA 1P GAME PLAN Date9/12/12 Thursday Section / Topic Notes: 1-7 Distributive Property GoalStudents will multiply expressions using the distributive property. Algebra California Standard 0) Homework Pg. 48 (1 – 19 odds) Announcement Chapter 1 Test Next Wednesday, 9/18

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ALGEBRA 1 HELP A term is a… 1) number, 2) variable, or 3) a product / quotient of numbers and variables. Example 5 m 2x 2

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ALGEBRA 1 HELP The coefficient is the numerical part of the term. Examples 1)4a 2) y 2 3) 4 1

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ALGEBRA 1 HELP Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms.

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ALGEBRA 1 HELP Are these like terms? 1) 13k, 22k Yes, the variables are the same. 2) 5ab, 4ba Yes, the order of the variables doesn’t matter. 3) x 3 y, xy 3 No, the exponents are on different variables.

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ALGEBRA 1 HELP Which of the following is the simplified form of -4x + 7x ? 1.-4 2.3x 3.-3x 4.4 Answer Now

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ALGEBRA 1 HELP Distributive Property

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ALGEBRA 1 HELP Which statement demonstrates the distributive property incorrectly? 1.3(x + y + z) = 3x + 3y + 3z 2.(a + b) c = ac + bc 3.5(2 + 3x) = 10 + 3x 4.6(3k - 4) = 18k - 24 Answer Now

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ALGEBRA 1 HELP Simplify 3(4m – 7). 3(4m – 7) = 3(4m) – 3(7)Use the Distributive Property. = 12m – 21 Simplify. The Distributive Property LESSON 1-7 Additional Examples Quick Check

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ALGEBRA 1 HELP Simplify –(5q – 6). –(5q – 6) = –1(5q – 6)Rewrite the expression using –1. = –1(5q) – 1(–6)Use the Distributive Property. = –5q + 6Simplify. The Distributive Property LESSON 1-7 Additional Examples Quick Check

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ALGEBRA 1 HELP Relate: –6 times the quantity 7 minus m Write:–6 (7 – m) Write an expression for “the product of –6 and the quantity 7 minus m.” –6(7 – m) The Distributive Property LESSON 1-7 Additional Examples Quick Check

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ALGEBRA 1 HELP Use the Distributive Property to simplify 26(98). 26(98) = 26(100 – 2)Rewrite 98 as 100 – 2. = 26(100) – 26(2)Use the Distributive Property. = 2600 – 52Simplify. = 2548 Quick Check The Distributive Property LESSON 1-7 Additional Examples

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ALGEBRA 1 HELP Find the total cost of 4 CDs that cost $12.99 each. 4(12.99) = 4(13 – 0.01)Rewrite 12.99 as 13 – 0.01. = 4(13) – 4(0.01)Use the Distributive Property. = 52 – 0.04Simplify. = 51.96 The total cost of 4 CDs is $51.96. The Distributive Property LESSON 1-7 Additional Examples Quick Check

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ALGEBRA 1 HELP 1.3(2x - 5) + 2x

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ALGEBRA 1 HELP 2.4(3x - 1) – (5x - 3)

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ALGEBRA 1 HELP 3.-(3x - y) + 4(x – 2y)

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ALGEBRA 1 HELP 4.6(x + 2) + (5x - 1) - (3x - 4)

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ALGEBRA 1 HELP

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ALGEBRA 1 HELP Multiple Choice 1. Simplify the expression: m(3m + 4) - 2m 2 A.-2m 2 + 3m + 4 B. m 2 + 6m C. 3m 2 + 4m D. m 2 + 4m 2. Simplify the expression: (5p + 1) - (p + 3) + 2(3p -1) A.10p – 4 B. 12p – 4 C. 10p + 6 D. 3p + 8

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ALGEBRA 1 HELP Simplify each expression. 1. 11(299) 2. 4(x + 8) 3. – 3(2y – 7) 4. –(6 + p) 5. 1.3a + 2b – 4c + 3.1b – 4a 6. Write an expression for the product of and the quantity b minus. 32894x + 32– 6y + 21 – 6 – p –2.7a + 5.1b – 4c 4747 3535 The Distributive Property LESSON 1-7 Lesson Quiz 4747 3535 b –

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