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Warm Up Write an algebraic expression: 1) Seven less than x 2) The product of 7 and y 3) The quotient of 15 and x 4) Ten taken from the product of six.

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Presentation on theme: "Warm Up Write an algebraic expression: 1) Seven less than x 2) The product of 7 and y 3) The quotient of 15 and x 4) Ten taken from the product of six."— Presentation transcript:

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2 Warm Up Write an algebraic expression: 1) Seven less than x 2) The product of 7 and y 3) The quotient of 15 and x 4) Ten taken from the product of six and n. 5) Name the three main properties of numbers and give an example of each.

3 Combining Like Terms

4 Terms  Are separated by a sign (- or +)

5 How many terms are in the example?

6 Coefficient  it is the number next to the variable. You must have a variable to have a coefficient.

7 Any variable without a number in front of it has an understood coefficient of 1.

8 Constant  a number without a variable

9 Combine Like Terms (put the same variables together!)

10 That is the answer…don’t do anything else!

11

12

13 6y + 2x + 4y + 8

14 2x + 10y + 8

15 7n + 6y + 3 – 2n + 4

16 5n + 6y + 7

17 3r + 7y -2r + y

18 r + 8y

19 4n + 9 + 6m - n - 2m + 2

20 4m + 3n + 11

21 2x + 7 + 5x - 4 - x

22 6x + 3

23 5 + 7x + 2x – 3 + 6

24 9x + 8

25 x + y + 4x – 3x + 2y + 3y

26 2x +6y

27 3x² + 5x +17 + 6x + 20

28 11x+ 3x² +37

29 4x + x² +12 – 4 +2x

30 x² +6x + 8

31 12y + 12x +12 – 6x + 12

32 12y + 6x + 24

33 12y + 4 +x –7y + 8 +8x

34 5y + 9x +12

35 5x + x²+ 2x + 5 – 4 - x²

36 7x + 1

37 5x² + 8x + 7x²+6x

38 12x² +14x

39 12x + 6 –8x –4x –3 + 12

40 15

41 5x + 4 –3x +5 +2x - 9

42 4x

43 4x +2y + 8 – 3 - y - x

44 3x + y + 5

45 4(2m + 3) – 5

46 8m + 12 – 5 8m + 7

47 3(4c + 2n) + 4 – 2c

48 12c + 6n + 4 – 2c 10c + 6n + 4

49 5(x + 2) + x + 7

50 5x + 10 + x + 7 6x + 17

51 x(4 + 7) + 4x + y

52 4x + 7x + 4x + y 15x + y

53 x + 2(3x + 4y) + 3

54 x + 6x + 8y + 3 7x + 8y + 3

55 4x + 5 +7x + 2y +2 - y

56 11x + y + 7

57 2y + 2x + 8 – 6 + x – 2y

58 3x + 2

59 4x + 6y + 6 + 7x + y

60 11x + 7y + 6

61 3x² + 4x –2x² -3x +2x

62 x² + 3x

63 8x + 4 – 4 – 4x +x

64 5x

65 y + 5x + 6y + 9 - 6

66 5x + 7y + 3

67 x² +3 +2x² + 4 -7

68 3x²

69 5y + 3 + 7x² -2x - x² + y

70 6x² + 6y -2x+3


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