Math Problem Statement

Which expression is equivalent to 2x + x + 6?

Solution

In the image, the expression shown is 2x+x+62x + x + 6. To simplify this expression, we combine like terms:

  1. Combine the xx-terms: 2x+x=3x2x + x = 3x

  2. The constant term +6+6 remains as it is.

So, the simplified expression is: 3x+63x + 6

The correct answer to select is therefore: 3x + 6

Would you like more details on how to simplify algebraic expressions?

Here are five related questions for further exploration:

  1. How do you simplify expressions with more complex terms, like 4x+3x+5+24x + 3x + 5 + 2?
  2. What are like terms, and why is it important to combine them?
  3. How do we handle expressions with both positive and negative coefficients?
  4. What are algebra tiles, and how can they visually represent equations?
  5. How would this approach change with an equation instead of an expression?

Tip: When simplifying expressions, always look for like terms (terms with the same variable and exponent) to combine for a cleaner, simpler expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

2x + x = 3x

Theorems

None (this is basic algebraic simplification)

Suitable Grade Level

Grade 7