AnswersAIA - 12 Career Math 1st SemThe Distributive Property

The Distributive Property Answers

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The following are reasons why 36 + 20 and 4(9 + 5) are equivalent expressions. Which did you include in your response? Check all that apply.

A
The expressions have the same value.
B
36 + 20 is a multiple of (9 + 5).
C
If you multiply 9 and 5 by the factor 4, you get 36 + 20.
3

Which expressions did Larry model? Check all that apply.

A
5(7)
B
30 + 42
C
6 + (5)(7)
D
6(5 + 7)
E
(6)(5) + (6)(7)
4

Do these two expressions represent equivalent expressions? Explain why or why not. 36 + 20 4(9 + 5)

Answer:

Yes, the expressions are equivalent. If you sum 36 + 20, you get 56. If you simplify 4(9 + 5), you also get 56.

6

Which choice correctly shows how to use the distributive property to express the sum 8 + 14?

A
8 + 14 = 4(2 + 7)
B
8 + 14 = 2(4 + 7)
C
8 + 14 = 2 + (4)(7)
D
8 + 14 = 2(4)(7)
7

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10

The sum of 18 + 45 is a multiple of which sum?

A
(3 + 9)
B
(2 + 5)
C
(1 + 3)
D
(9 + 9)
11

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