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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 + 3y Vocab Constant Constant a number without a variable

  7. 3x + 5y + 2x + 4 Combine Like Terms (put the same variables together!)

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

  9. Simplify 8a + 3a

  10. 8a + 3a 11a

  11. 6y + 2x + 4y + 8

  12. 6y + 2x + 4y + 8 2x + 10y + 8

  13. 7n + 6y + 3 – 2n + 4

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

  15. 3r + 7y -2r + y

  16. 3r + 7y -2r + y r + 8y

  17. 4n + 9 + 6m - n - 2m + 2

  18. 4n + 9 + 6m - n - 2m + 2 4m + 3n + 11

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

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

  21. 5 + 7x + 2x – 3 + 6

  22. 5 + 7x + 2x – 3 + 6 9x + 8

  23. x + y + 4x – 3x + 2y + 3y

  24. x + y + 4x – 3x + 2y + 3y 2x +6y

  25. 3x² + 5x +17 + 6x + 20

  26. 3x² + 5x +17 + 6x + 20 11x+ 3x² +37

  27. 4x + x² +12 – 4 +2x

  28. 4x + x² +12 – 4 +2x x² +6x + 8

  29. 12y + 12x +12 – 6x + 12

  30. 12y + 12x +12 – 6x + 12 12y + 6x + 24

  31. 12y + 4 +x –7y + 8 +8x

  32. 12y + 4 +x –7y + 8 +8x 5y + 9x +12

  33. 5x + x²+ 2x + 5 – 4 - x²

  34. 5x + x²+ 2x + 5 – 4 - x² 7x + 1

  35. 5x² + 8x + 7x²+6x

  36. 5x² + 8x + 7x²+6x 12x² +14x

  37. 12x + 6 –8x –4x –3 + 12

  38. 12x + 6 –8x –4x –3 + 12 15

  39. 5x + 4 –3x +5 +2x - 9

  40. 5x + 4 –3x +5 +2x - 9 4x

  41. 4x +2y + 8 – 3 - y - x

  42. 4x +2y + 8 – 3 - y - x 3x + y + 5

  43. 4(2m + 3) – 5

  44. 4(2m + 3) – 5 8m + 12 – 5 8m + 7

  45. 3(4c + 2n) + 4 – 2c

  46. 3(4c + 2n) + 4 – 2c 12c + 6n + 4 – 2c 10c + 6n + 4

  47. 5(x + 2) + x + 7

  48. 5(x + 2) + x + 7 5x + 10 + x + 7 6x + 17

  49. x(4 + 7) + 4x + y

  50. x(4 + 7) + 4x + y 4x + 7x + 4x + y 15x + y

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