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?

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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?

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Answer 1 · 2016-11-03T23:53:18

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

Explanation:

Lets break this down.

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

something $+$ $+$ something else

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

$2 x +$ $2x+$ something else.

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

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

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

Distribute:

$2 x + 2 (x + 1) \to 2 x + 2 x + 2$ $2x+2(x+1)rarr2x+2x+2$

Combine like terms:

$2 x + 2 x + 2 \to 4 x + 2$ $2x+2x+2rarr4x+2$

Ta-daa!

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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

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