Question 1 (6.PAR.6.5) - Apply the distributive property to the expression 4(x+7)

First I distribute 4 to the X and then the 7.
4x + 28

If I did it backward, I’d pull the
Greatest common factor from both terms
and
make it back like 4(x+7)

Yes, you are correct. The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. In this case, the expression is 4(x + 7), so we can distribute the 4 to both terms inside the parentheses, resulting in 4x + 28. If we want to reverse this process, we can factor out the greatest common factor, which is 4, from both terms, resulting in 4(x + 7).