which justifies (2x+10)+8=2x+18

Question

i dont know which to choose either commutative property of addition, distributive property, or associative property of addition.

Answer 1

Chagp,

Hello there :) Let's see:

(2x + 10) + 8 = 2x + 18

The Commutative Property deals with the arrangement of the terms. Think of the word "commute," which reminds us of movement. The Commutative Property would look like this:

(2x + 10) + 8 = 8 + (2x + 10)

The Distributive Property deals with multiplication and addition. The Distributive Property tells us that 

x(a + b) = xa + xb

The Associative Property deals with grouping . It tells us that:

(2x + 10) + 8 = 2x + (10 + 8)

So, this is the property that will allow you to justify your original statement, as follows:

(2x + 10) + 8

2x + (10 + 8) (By the Associative Property)

2x + (18) (By simplification)

Hope this helps! :)

-Skyler