
HOW MANY TERMS does the expression: 3x² + 3y - 3x + 4 have?

To determine the number of terms in the expression \( 3x^2 + 3y - 3x + 4 \), we need to identify each distinct term. A term is a part of the expression that is separated by addition or subtraction symbols. 

Let's examine the expression term by term:

1. \( 3x^2 \)
2. \( + 3y \)
3. \( - 3x \)
4. \( + 4 \)

Each of these terms is distinct and separated by a plus or minus sign. Therefore, there are **4 terms** in this expression.

Would you like a breakdown of why each part counts as a distinct term, or do you have any other questions?

Here are 5 related questions that could expand on this topic:
1. What is the degree of each term in the expression \( 3x^2 + 3y - 3x + 4 \)?
2. How do you identify like terms in an expression?
3. Can the expression \( 3x^2 + 3y - 3x + 4 \) be simplified further?
4. What is the coefficient of \( x \) in the expression \( 3x^2 + 3y - 3x + 4 \)?
5. How do you combine like terms in a polynomial?

**Tip:** Always look for like terms to combine and simplify expressions, as it can help reduce the number of terms and make further calculations easier.

HOW MANY TERMS does the expression: 3x² + 3y - 3x + 4 have?

Learn how to determine the number of terms in the algebraic expression 3x² + 3y - 3x + 4. This problem helps students understand the concept of terms in an expression and covers key algebraic principles. Suitable for students in Grades 6-8.

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