1. Combining Like Terms

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

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

4. Vocab 6x
+ 3y
+ 4
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. Constant a number without a variable
Vocab 6x
+ 3y
+ 4
Constant
Constant a number without a variable

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

8. 3x
+ 2x
+ 4
+ 5y 5x
+ 5y
+ 4
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 m - n - 2m + 2

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

19. 2x x x

20. 2x x 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 x + 20

26. 3x² + 5x x + 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 x

32. 12y + 4 +x –7y x
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 x + 7
6x + 17

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

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

51. x + 2(3x + 4y) + 3

52. x + 2(3x + 4y) + 3
x + 6x + 8y + 3
7x + 8y + 3

53. 4x x + 2y +2 - y

54. 4x x + 2y +2 - y
11x + y + 7

55. 2y + 2x + 8 – 6 + x – 2y

56. 2y + 2x + 8 – 6 + x – 2y
3x + 2

57. 4x + 6y x + y

58. 4x + 6y x + y
11x + 7y + 6

59. 3x² + 4x –2x² -3x +2x

60. 3x² + 4x –2x² -3x +2x
x² + 3x

61. 8x + 4 – 4 – 4x +x

62. 8x + 4 – 4 – 4x +x 5x

63. y + 5x + 6y

64. y + 5x + 6y
5x + 7y + 3

65. x² +3 +2x²

66. x² +3 +2x²
3x²

67. 5y x² -2x - x² + y

68. 5y x² -2x - x² + y
6x² + 6y -2x+3