Question

It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property. A) associative B) commutative C) distributive D) identity help

Answer 1

Keywords:

Expression, simplified, property, distributive

For this case we have an expression of the form $2 (3 + x)$ that was simplified to the expression $6 + 2x$. They ask us to indicate which property was used to simplify the expression.

We have that, by definition, the distributive property states that:

$a (b + c) = ab + ac$

So:

$2 (3 + x) = 2 * 3 + 2 * x = 6 + 2x$ is an example of the distributive property.

Answer:

This is an example of the property distributive

Option C