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IM 6.6.9 Practice: The Distributive Property, Part 1

Select all the expressions that represent the area of the large, outer rectangle.

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  • F
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Draw and label diagrams that shows these two methods for calculating 19 ᐧ 50: (1) First find 10 ᐧ 50 and then add 9 ᐧ 50.

Draw and label diagrams that shows these two methods for calculating 19 ᐧ 50: (2) First find 20 ᐧ 50 and then take away 50.

Complete each calculation using the distributive property.

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A group of 8 friends go to the movies. A bag of popcorn costs $2.99. How much will it cost to get one bag of popcorn for each friend? Explain how you can calculate this amount mentally.

Draw diagrams of a+a+a+a and 4a when a is 1, 2, and 3. What do you notice?

Do  and  have the same value for any value of ? Explain how you know.

120% of x is equal to 78.

Write an equation that shows the relationship of 120%,  , and 78.

Use your equation to find . Show your reasoning.

Kiran’s aunt is 17 years older than Kiran.

How old will Kiran’s aunt be when Kiran is: 15 years old?

How old will Kiran’s aunt be when Kiran is: 30 years old?

How old will Kiran’s aunt be when Kiran is:  years old?

How old will Kiran be when his aunt is 60 years old?