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6-8 Grade 6 Unit 6 Lesson 9

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Unit 6, Lesson 9

The Distributive Property, Part 1

Grade 6

Practice

Problem 1

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

Area diagram. A large rectangle partitioned into two smaller rectangles.

Problem 2

Explain how each expression is equivalent to .
Use the diagram if needed.

Problem 3

Complete each calculation using the distributive property.

Problem 4

Select all the expressions that represent the area of the shaded rectangle on the left side of the figure.

Problem 5

ForLesson 8: Equal and Equivalent

On graph paper, draw diagrams that represent and when is 1, 2, and 3. What do you notice?
Do and have the same value for any value of ? Explain how you know.

Problem 6

ForLesson 6: Percentages and Equations

120% of is equal to 78.

Write an equation that shows the relationship of 120%, , and 78.
Use your equation to find . Show your reasoning.

Problem 7

ForLesson 7: Write Expressions with Variables

Kiran’s aunt is 17 years older than Kiran.

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

15 years old?

30 years old?

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