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**The Distributive Property**

ALGEBRA 1 LESSON 1-7 (For help, go to Lessons 1-2 and 1-6.) Use the order of operations to simplify each expression. 1. 3(4 + 7) 2. –2(5 + 6) 3. –1(–9 + 8) 4. –0.5(8 – 6) t(10 – 4) 6. m(–3 – 1) 1 2 1-7

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**The Distributive Property**

ALGEBRA 1 LESSON 1-7 ( ) 1. 3(4 + 7) = 3(11) = 33 2. –2(5 + 6) = –2(11) = –22 3. –1(–9 + 8) = –1(–1) = 1 4. –0.5(8 – 6) = –0.5(2) = –1 t(10 – 4) = t(6) = (6)t = • 6 t = 3t 6. m(–3 – 1) = m(–4) = –4m 1 2 Solutions 1-7

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**The Distributive Property**

ALGEBRA 1 LESSON 1-7 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 – 52 Simplify. = 2548 1-7

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**The Distributive Property**

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

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**The Distributive Property**

ALGEBRA 1 LESSON 1-7 Simplify 3(4m – 7). 3(4m – 7) = 3(4m) – 3(7) Use the Distributive Property. = 12m – 21 Simplify. 1-7

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**The Distributive Property**

ALGEBRA 1 LESSON 1-7 Simplify –(5q – 6). –(5q – 6) = –1(5q – 6) Rewrite the expression using –1. = –1(5q) – 1(–6) Use the Distributive Property. = –5q + 6 Simplify. 1-7

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**The Distributive Property**

ALGEBRA 1 LESSON 1-7 Simplify –2w2 + w2. –2w2 + w2 = (–2 + 1)w2 Use the Distributive Property. = –w2 Simplify. 1-7

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**The Distributive Property**

ALGEBRA 1 LESSON 1-7 Write an expression for the product of –6 and the quantity 7 minus m. Relate: –6 times the quantity 7 minus m Write: –6 • (7 – m) –6(7 – m) 1-7

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**The Distributive Property**

ALGEBRA 1 LESSON 1-7 Simplify each expression. 1. 11(299) (x + 8) – 3(2y – 7) 4. –(6 + p) a + 2b – 4c + 3.1b – 4a 6. Write an expression for the product of and the quantity b minus . 3289 4x + 32 – 6y + 21 – 6 – p –2.7a + 5.1b – 4c 4 7 3 5 4 7 3 5 b – ( ) 1-7

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