If x represents the​ first, or 

the smallerthe smaller​, 

of 

twotwo 

consecutive 

integersintegers​, 

express the sum of the 

twotwo 

integers in terms of x.

Let's denote \( x \) as the first or smaller of the two consecutive integers. 

For consecutive integers, the second integer would be \( x + 1 \). 

### Expression for the sum of the two integers:
\[
\text{Sum} = x + (x + 1)
\]

Simplify the expression:

\[
\text{Sum} = x + x + 1 = 2x + 1
\]

So, the sum of the two consecutive integers in terms of \( x \) is:

\[
\boxed{2x + 1}
\]

Would you like a detailed explanation or have any questions?

Here are some related questions you might find interesting:
1. How would you express the product of two consecutive integers in terms of \( x \)?
2. If the sum of two consecutive integers is given, how do you find the integers?
3. What happens if the integers are not consecutive but have a fixed difference?
4. How would you solve if one of the integers is odd and the other is even?
5. How do you represent three consecutive integers using \( x \)?

**Tip:** For any sequence of consecutive integers, the difference between them is always 1.

If x represents the first, or the smaller, of two consecutive integers, express the sum of the two integers in terms of x.

Discover how to express the sum of two consecutive integers in terms of x, with a detailed explanation. This problem covers algebraic concepts and summation, suitable for students in Grades 6-8.

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