Combining Like Terms

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