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Which property was applied to create this equivalent expression? 7x+(5+6x)---->(7x+5)+6x the commutative property only the associative property only the distributive property only both the commutative property and the associative property

User Iberck
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2 Answers

2 votes

Answer:

B

Step-by-step explanation:

User Rnwood
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5 votes

Answer: associative property only (choice B)

============================

Step-by-step explanation:

Specifically this is the associative property of addition. The general form of the associative property of addition is

a+(b+c) = (a+b)+c

the a,b,c doesnt change in the order in how you write them from right to left, but the grouping of parenthesis does change. Adding either grouping first ultimately leads to the same answer

example:

2+(3+5) = 2+8 = 10

(2+3)+5 = 5+5 = 10

This is similar to the associative property of multiplication which says

a*(b*c) = (a*b)*c

----

we arent using the commutative property as the order of the terms has not been swapped at all. We aren't using the distributive property because multiplication is not involved for this probem.

User Julien Altieri
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