Answer:
6) Option B) distributive property is correct
Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property
7) Option B) distributive property is correct
Therefore x+3(7-x)=x+21-3x are equivalent by using distributive property
Step-by-step explanation:
6) 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
7) Given that the expressions x+3(7-x) and x+21-3x are equivalent
To verify that the given expressions are equivalent by which property :
x+3(7-x)
=x+3(7)+3(-x) ( by using the distributive property a(x+y)=ax+ay )
=x+21-3x
Therefore x+3(7-x)=x+21-3x are equivalent by using distributive property
Therefore option B) distributive property is correct
