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The Distributive Property

The Distributive Property. Section 2.7. Find the area. 8 ft. 8 ft. 12 ft. 16 ft. 1. Find the area of each garden and then add the areas together. Area = 8(12) + 8(16) Area = 96 + 128 Area = 224 square feet. 2. Find the total length then multiply it times the common width

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The Distributive Property

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  1. The Distributive Property Section 2.7

  2. Find the area 8 ft 8 ft 12 ft 16 ft 1. Find the area of each garden and then add the areas together. Area = 8(12) + 8(16) Area = 96 + 128 Area = 224 square feet 2. Find the total length then multiply it times the common width Area = 8 ( 12 + 16) Area = 8 (28) Area = 224 square feet You are planting a vegetable garden and a flower garden. The diagram shows the dimensions of the two adjacent gardens. How can you find the total area of the two gardens?(Show more than one method)

  3. Distributive Property Example 1 Use the distributive property -4(a + 13) = 5(2 – x + 3y) = a(b+c) = ab + ac 9(2+6) = 9(2) + 9(6) a(b-c) = ab – ac 8(7-1) = 8(7) – 8(1)

  4. Example 2: Simplify the expressions(distribute and combine like terms) 2(9+ y) + 3 y -7 ( 3x-1) + y - 2

  5. Your turn: Use the distributive property to simplify and combine like terms 1. -3(8+ w)= 2. 6(2y – 15)=

  6. Your turn: Use the distributive property to simplify and combine like terms 4. 6( t – 7 ) – t + 12 5. 6 – 4(2w – 5) Be careful on this one!

  7. 6. Write two expressions for the total area of the two rectangles 10 ft 10 ft 12 ft 22 ft

  8. 7. Write two expressions for the total area of the two rectangles 5ft 5ft xft 14ft

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