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Combining Like Terms

Combining Like Terms. Families & Orphans. + 4. 6x. + 3y. Vocab. Term. Terms  Are separated by a sign (- or +). + 4. 6x. + 3y. Vocab. How many terms are in the example?. 3. + 4. 6x. + 3y. Vocab. Coefficient.

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Combining Like Terms

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  1. Combining Like Terms Families & Orphans

  2. + 4 6x + 3y Vocab Term Terms Are separated by a sign (- or +)

  3. + 4 6x + 3y Vocab How many terms are in the example? 3

  4. + 4 6x + 3y Vocab Coefficient Coefficient it is the number next to the variable. You must have a variable to have a coefficient.

  5. Vocab x = 1 x Any variable without a number in front of it has an understood coefficient of 1.

  6. + 4 6x Vocab Constant Constant a number without a variable

  7. 3x + 2x + 4 Combine Like Terms

  8. + 4 5x 3x + 2x + 4 That is the answer…don’t do anything else!

  9. Simplify 8a + 3a

  10. 8a + 3a 11a

  11. 6y + 4y + 8

  12. 6y + 4y + 8 10y + 8

  13. 7n + 6y + 3 – 2n + 4

  14. 7n + 6y + 3 – 2n + 4 5n + 6y + 7

  15. 3r -2r + 5

  16. 3r -2r + 5 r + 5

  17. 4n + 6m + n - 2m + 2

  18. 4n + 6m +n - 2m + 2 4m + 5n + 2

  19. 2x + 7 + 5x - 4 - x

  20. 2x + 7 + 5x - 4 - x 6x + 3

  21. What if our expression looks like this…. 6(b + 2) How could we simply this expression? Use the Distributive Property

  22. Let’s practice. 4(6 + k) 4 (6) + 4 (k) 24+4k Do worksheet.

  23. Challenge Problem 5(d + 3) + 9 5(d) + 5(3) + 9 5d + 15 + 9 5d + 24

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