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The Distributive Property

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Presentation on theme: "The Distributive Property"— Presentation transcript:

1 The Distributive Property

2 4(x + 5) vs. 4x + 20 The Distributive Property Algebra Tile
We can see that 4(x + 5) = 4x + 20 because the two diagrams show the same numbers of tiles.

3 ab + ac 20b - 20c -2x + 6 We write: a(b+c) = Examples: 20(b-c) =
Distributive Property a(b+c) = ab + ac We write: a(b+c) = Examples: 20(b-c) = -2(x-3) = ab + ac 20b - 20c -2x + 6

4 Use Distributive property and sketch a diagram
+ 14

5 Use Distributive property to expand and solve
= - 60 6x = 60 x = 10

6 Bob thought of his favourite number. He then subtracted two
Bob thought of his favourite number. He then subtracted two. Then multiplied the difference by 5. The product was 60. Write an equation to problem. What was Bob favourite number? 5(b -2) = 60

7 John and Lorraine are landscaping their yard
John and Lorraine are landscaping their yard. They are buying pyramidal cedars that cost $12 each. John and Loraine need 11 cedars to shade their patio at the end of the yard. They would like to purchase as many more cedars for the adjacent sides. They have $336 to buy cedars. How many more cedars can they buy. Write an equations that models this problem of determine the number of cedars. 12(t + 11) = 336

8 Page 342/343 #5,8, 9, 14, 19bc Page 347/348 #4, 5, 6, 8, 12, 17b


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