Question

The expressions 5 + 2(x –7) and 5 +2x –14 are equivalent by the

A.identity property. C.associative property of multiplication.

B.distributive property. D.commutative property of multiplication.

Answer 1

Option B) distributive property is correct

Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property

Explanation:

Given that the expressions 5+2(x-7) and 5+2x-14 are equivalent

To verify that the given expressions are equivalent by which property :

5+2(x-7)

=5+2(x)+2(-7) ( by using the distributive property a(x+y)=ax+ay )

=5+2x-14

Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property

Therefore option B) distributive property is correct