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Let's go through each statement from the given expression \( 9x + 2y + 1 \) and determine which are true:

1. **"1 is a constant."**
   - **True**: A constant is a number on its own without any variables, and here, \(1\) is indeed a constant.

2. **"9x is a coefficient."**
   - **False**: In this case, \(9x\) is a term, not a coefficient. The coefficient is \(9\), while \(x\) is the variable.

3. **"9x + 2y + 1 is written as a sum of three terms."**
   - **True**: The expression has three distinct terms: \(9x\), \(2y\), and \(1\).

4. **"9x and 1 are like terms."**
   - **False**: Like terms must have the same variable part. \(9x\) has the variable \(x\), but \(1\) has no variable, so they are not like terms.

5. **"9x is a factor."**
   - **False**: \(9x\) is not a factor; it is a term in the expression.

6. **"None of these are true."**
   - **False**: As seen, at least two of the statements are true.

### Summary of the true statements:
- 1 is a constant.
- \(9x + 2y + 1\) is written as a sum of three terms.

Would you like further clarification on any of these points or more detailed explanations?

### Related Questions:
1. What is a coefficient in algebraic terms?
2. How do you identify like terms in an expression?
3. What does it mean when terms are considered factors in an expression?
4. Can a constant term ever be a factor in an algebraic expression?
5. How do you simplify an expression with multiple terms?

### Tip:
When identifying like terms, focus on the variable parts. Only terms with exactly the same variable and exponents can be combined as like terms.

Consider the following expression: 9x + 2y + 1. Select all of the true statements below.

Learn how to analyze the expression 9x + 2y + 1. This problem teaches key algebraic concepts such as identifying constants, coefficients, and terms. Ideal for students in Grades 6-8.

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