Question

The question is:Which of the following statements best represents the distributive property? And the answers are:7x+1 = 7(x+1)7(x+1) = 7x+77x+7 = 7x+77(x+1) = x+7

Answer 1

The distributive property is the property that a multiplication factor can be distributed into the term of a parenthesis.

This exclude the third option because it don't involve parenthesis.

The other alternatives involve the expression:

`7(x+1)`

Applying the distributive property, we have:

`7(x+1)=7\cdot x+7\cdot1=7x+7`

So, we can see that the alteratives 1 is incorrect because the constant term used was 1. Also, the alternative 4 is incorrect because the coefficient on x is wrong.

The correct alternative is then the second:

`7(x+1)=7x+7`