Let's break down the expression $2x + 8 + x + 6$ into each of the required categories:

1. Terms: These are the individual parts of the expression that are added or subtracted.

   • Terms: $2x$, $8$, $x$, $6$

2. Like Terms: These are terms that have the same variable(s) with the same exponents.

   • Like Terms: $2x$ and $x$ (both terms have $x$ as a variable)
   • Constants $8$ and $6$ are also like terms as they are both constant values.

3. Coefficients: These are the numerical parts of the terms with variables.

   • Coefficients: $2$ (from $2x$), $1$ (from $x$)

4. Constants: These are terms without any variables.

   • Constants: $8$, $6$

---

Would you like more details or have any questions?

Additional Questions for Practice:

1. How would the expression simplify if you combined like terms?
2. What are like terms in the expression $3y + 7 + 2y + 5$?
3. How would identifying like terms help in solving equations?
4. What is the coefficient of $z$ in the expression $4z + 3 + z$?
5. Can you identify the constants and terms in $5x + 9 - 2x$?

Tip: When identifying coefficients, remember they multiply the variable and will always be a number without any variables attached to it.