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Combining Like-Terms

Combining Like-Terms. Combining Like-Terms. What are like terms? Terms with the same variables and the same exponent. Example: 5x 3x 4x all of these are like-terms Are these like terms? 5x 5y 9 y ½ y. Combining Like-Terms.

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Combining Like-Terms

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  1. Combining Like-Terms

  2. Combining Like-Terms • What are like terms? • Terms with the same variables and the same exponent. • Example: • 5x 3x 4x all of these are like-terms • Are these like terms? • 5x 5y • 9y ½y

  3. Combining Like-Terms • Circle, underline, or highlight like-terms: 3x + 2y + 4y • Now let’s combine like-terms: - There is only one group of x’s. • What is 2 y’s plus 4 more y’s? 3x + 6y

  4. Combining Like-Terms • Combine like-terms. Show work by circling, underlining, or highlighting like-terms: 3x + 2x 5x + 4x + x 5y + 5 + 2y

  5. Combining Like-Terms • Combine like-terms. Show work by circling, underlining, or highlighting like-terms: 7y + 6y + 10 – 3y 9x + 3y + x x + 2y – y + 4x 3y + 2 + 6y +7 2x + 3y + 6 + 10x 3x + 5y + 4y + 3x + 5 + 2

  6. Combining Like-Terms • Combine like-terms. Show work by circling, underlining, or highlighting like-terms: 4y + 5x + 4y + 3y + 5x + 2y 4 + 9x + 8 + 3x + 8y – 2y 7y – 4x + 3y + 8x + 6y

  7. Combining Like-Terms with Distributive Property • Following order of operations you must multiply first (DP) and then add/subtract (CLT) 13) 3(v + 8) + 2v 14) y(7 – 3) + 5 15) 4(x + 3) + 3(x + 5)

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