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Combining Like Terms

This guide provides key definitions and examples of fundamental algebraic concepts such as constants, variables, coefficients, exponents, and simplification of expressions. A constant is a specific number like 1 or 2 without any additional notation. A variable is represented by letters like x or y that signify unknown values. Coefficients are numbers multiplying variables, such as 3 in 3x. Exponents indicate powers applied to variables, as seen in x³. Understanding how to simplify algebraic expressions is also covered, making this a comprehensive resource for mastering foundational algebra.

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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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