Math Problem Statement

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

Solution

To determine the number of terms in the expression 3x2+3y3x+43x^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. 3x23x^2
  2. +3y+ 3y
  3. 3x- 3x
  4. +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 3x2+3y3x+43x^2 + 3y - 3x + 4?
  2. How do you identify like terms in an expression?
  3. Can the expression 3x2+3y3x+43x^2 + 3y - 3x + 4 be simplified further?
  4. What is the coefficient of xx in the expression 3x2+3y3x+43x^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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Terms in an Expression

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8