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The given expression is \( 5y + 3x + 2 \), and you are asked to select all of the true statements from a list. Let's go through each option:

1. **"5y is a coefficient."**
   - This is **false**. In \( 5y \), \( 5 \) is the coefficient, not \( 5y \). \( y \) is the variable.

2. **"2 is a constant."**
   - This is **true**. The number \( 2 \) is not multiplied by a variable, so it is considered a constant.

3. **"5y is a factor."**
   - This is **false**. \( 5y \) is a term, not a factor. A factor refers to values being multiplied together, and \( 5y \) is not factored out of the entire expression.

4. **"5y and 2 are like terms."**
   - This is **false**. Like terms must have the same variable raised to the same power. \( 5y \) has the variable \( y \), and \( 2 \) is a constant with no variable, so they are not like terms.

5. **"5y + 3x + 2 is written as a sum of three terms."**
   - This is **true**. The expression \( 5y + 3x + 2 \) consists of three distinct terms: \( 5y \), \( 3x \), and \( 2 \).

6. **"None of these are true."**
   - This is **false** because there are true statements in the list.

### Correct answers:
- \( 2 \) is a constant.
- \( 5y + 3x + 2 \) is written as a sum of three terms.

Would you like a more detailed explanation or have any specific questions about these concepts?

Here are five related questions:
1. What is the difference between a coefficient and a constant in an algebraic expression?
2. How can we identify like terms in an algebraic expression?
3. What are the factors of a given term, such as \( 5y \)?
4. Can a term like \( 5y \) ever be considered a factor in an expression?
5. How do you simplify an expression with more than three terms?

**Tip:** When simplifying algebraic expressions, always look for like terms—terms that share the same variables and powers.

Consider the following expression: 5y + 3x + 2. Select all of the true statements from the provided list: '5y is a coefficient,' '2 is a constant,' '5y is a factor,' '5y and 2 are like terms,' '5y + 3x + 2 is written as a sum of three terms,' 'None of these are true.'

Explore the algebraic expression 5y + 3x + 2 and learn how to identify constants, terms, and like terms. Understand key concepts such as coefficients and how expressions are structured as a sum of terms. This guide is suitable for students in Grades 6-8.

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