Which expressions are equivalent to x+2y+x+2
2(x+y+1)
2x+4y+y
none of the above

Hey there!

Keep in mind that  is the same thing as , since you can add 1x and 1x together to get 2x at the beginning of your expression. 

Now, take a look at your answer choices:



If you use the distributive property on this (which you do by multiplying 2 by each term in your trinomial), you will get the following:







This means that your first answer choice is equivalent. 

Let's take a look at your second answer choice: 



You can simplify this by adding together your like terms, which is the y term:



This is not equivalent, so your answer will be your first option only. 

Hope this helped you out! :-)