If x represents a number, then how do you write an expression for the sum of twice x with twice a number one larger than x?

1 Answer
Nov 3, 2016

Answer:

#2x+2(x+1)# is the direct translation.
This simplify's to #4x+2#.

Explanation:

Lets break this down.

We have the word "sum," which means there will be a #+# sign.

something#+#something else

"Twice x" translates to #2x#, so now we have:

#2x+#something else.

Now for the tricky part. "A number one larger than #x#" is #x+1#. Bet we want two of those. We can't just write "#2xx#" in front of it because that would mean only the #x# was multiplied. Instead, we write it as #2xx(x+1)# or just #2(x+1)#.

So there we are! #2x+2(x+1)#.

If you want to simplify the expression, follow these steps:

Distribute:

#2x+2(x+1)rarr2x+2x+2#

Combine like terms:

#2x+2x+2rarr4x+2#

Ta-daa!