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Simplifying Expressions by Combining Like Terms

Learn how to combine like terms to simplify expressions. Understand vocabulary such as constants, variables, coefficients, and exponents. Practice reducing expressions to their simplest form using examples. Master the skill of simplification in algebra.

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Simplifying Expressions by Combining Like Terms

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  1. Combining Like Terms

  2. Vocabulary Constant A number with nothing else attached to it. Examples: 1, 2, 47, 925

  3. Vocabulary Variable A letter that represents an unknown number. Examples: a, b, x, y

  4. Vocabulary Constant A constant is the number with nothing else attached to it. Example: 1, 2, 47, 925

  5. Vocabulary Coefficient The number in front of the variable. Examples: 3x 3 is the coefficient -2x -2 is the coefficient

  6. Vocabulary Exponent The number “on top” of the variable. Example: x³ 3 is the exponent

  7. Vocabulary Simplify Rewrite an expression as simply as possible. Reducing to lowest terms.

  8. 5 + 3 8

  9. 5 cats + 3 cats 8 cats

  10. 5 boxes + 3 boxes 8 boxes

  11. 5 pillows + 3 pillows 8 pillows

  12. 5a + 3a 8a

  13. 5b + 3b 8b

  14. 5c + 3c 8c

  15. 5 cats + 3 dogs 5 cats + 3 dogs

  16. 5 apples + 3 oranges 5 apples + 3 oranges

  17. 5 + 3 8

  18. 5 + 3 8

  19. 5 + 3 8

  20. 12r – 8 – 12 12r –8 –12

  21. 12r –8 –12 12r – 20

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