ALGEBRA 1 LESSON 1 7 The Distributive Property

ALGEBRA 1 LESSON 1 -7 The Distributive Property (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) 4. – 0. 5(8 – 6) 5. 1 t(10 – 4) 2 1 -7 3. – 1(– 9 + 8) 6. m(– 3 – 1)

ALGEBRA 1 LESSON 1 -7 The Distributive Property Solutions 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 1 1 5. 2 t(10 – 4) = 2 t(6) = 2 (6)t = ( 2 • 6) t = 3 t 6. m(– 3 – 1) = m(– 4) = – 4 m 1 -7

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

ALGEBRA 1 LESSON 1 -7 The Distributive Property 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. 04 Simplify. = 51. 96 The total cost of 4 CDs is $51. 96. 1 -7

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

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

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

ALGEBRA 1 LESSON 1 -7 The Distributive Property 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

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