How to Effectively Combine Like Terms in Algebra

Learn the simple method of combining like terms in algebra to simplify expressions and solve equations efficiently.

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Combining like terms involves simplifying expressions by adding or subtracting terms that have the same variables raised to the same powers. For example, in the expression `3x + 5x - 2`, you can combine `3x` and `5x` because they are like terms, resulting in `8x - 2`. This simplifies the expression and makes it easier to solve equations or perform further calculations. Remember, only terms with the same variables and exponents can be combined to keep equations correctly balanced.

FAQs & Answers

  1. What does it mean to combine like terms? Combining like terms means simplifying an expression by adding or subtracting terms that share the same variables raised to the same powers.
  2. Can you give an example of combining like terms? Sure! In the expression `3x + 5x - 2`, you can combine `3x` and `5x` to get `8x - 2`, simplifying the expression.
  3. Why is it important to combine like terms? It is important to combine like terms to simplify mathematical expressions, making them easier to solve or manipulate in equations.
  4. Are there any terms that cannot be combined? Yes, terms with different variables or exponents cannot be combined. For example, `3x` and `4y` are not like terms and must remain separate.

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