Question

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?

Answer 1

`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!