AnswersAIA - 12 Career Math 1st SemThe Distributive Property

The Distributive Property Answers

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Which facts did you include in your response? Check all that apply.

A
The GCF of 18 and 30 is 6.
B
The product of 6 and 5 is 30.
C
The product of 6 and 10 is 60.
D
The expressions do not have the same value.
E
The other factor should be (3 + 5).
3

Which expression is equivalent to the sum of the two areas?

A
4(5)(3)
B
5(4 + 3)
C
4(5 + 3)
D
(4 + 5)(4 + 3)
5

Question text not available

Answer:

The product of 6 and 10 is 60, so the expressions are not equivalent. The expression should be 6(3 + 5).

6

Are these expressions equivalent? Explain why or why not. 42 + 35 7(6 + 5)

Answer:

Yes, the expressions are equivalent. If you sum 42 + 35, you get 77. If you simplify 7(6 + 5), you also get 77.

7

Which expression uses the distributive property to show equivalent expressions for this situation?

A
54 + 42 = (3)(18) + (6)(7)
B
54 + 42 = (9)(10) + 6
C
54 + 42 = 90 + 6
D
54 + 42 = 6(9 + 7)
8

These statements explain why 42 + 35 and 7(6 + 5) are equivalent expressions. Which did you include in your response? Check all that apply.

A
The expressions have the same value.
B
42 + 35 is a multiple of (6 + 5).
C
If you multiply 6 and 5 by the factor 7, you get 42 + 35.

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