1. 5 Minute Check
Complete in your notes. Factor each expression. 1. 4x x x x

2. 5 Minute Check
Complete in your notes. Factor each expression. 1. 4x x x x

3. 5 Minute Check
Complete in your notes. Factor each expression. 1. 4x + 8

4. 5 Minute Check
Complete in your notes. Factor each expression. 1. 4x + 8 4(x + 2)

5. 5 Minute Check
Complete in your notes. Factor each expression x + 35

6. 5 Minute Check
Complete in your notes. Factor each expression x (2x + 7)

7. 5 Minute Check
Complete in your notes. Factor each expression x + 81

8. 5 Minute Check
Complete in your notes. Factor each expression x (2x + 9)

9. 5 Minute Check
Complete in your notes. Factor each expression x

10. 5 Minute Check
Complete in your notes. Factor each expression x 6(7 + 3x)

11. OST Test Prep
A company manufactures small, solid, plastic cubes. They use the expression sᶾ, where s is the length of a side, to find the volume of plastic needed to make a cube. Luis claims that the volume of plastic needed to make a cube with a side length 8 millimeters is 24 cubic millimeters. Is he correct? Explain why.

12. OST Test Prep sᶾ, where s = 8 8 ∙ 8 ∙ 8 64 ∙ 8 512 He is not correct.
A company manufactures small, solid, plastic cubes. They use the expression sᶾ, where s is the length of a side, to find the volume of plastic needed to make a cube. Luis claims that the volume of plastic needed to make a cube with a side length 8 millimeters is 24 cubic millimeters. Is he correct? Explain why.
sᶾ, where s = 8
8 ∙ 8 ∙ 8
64 ∙ 8
512
He is not correct.

13. What fraction is LeBron of Paul?

14. What fraction is LeBron of Paul?
What fraction is the average guy of Paul?

15. What fraction is LeBron of Paul?
Questions to be answered:
What do we know?
What is a prediction that is too low?
What is a prediction that is too high?
Can we make an accurate prediction or is there additional information that is needed to make a prediction?
What fraction is the average guy of Paul?

16. What fraction is LeBron of Paul?
Questions to be answered:
What do we know?
What is a prediction that is too low?
What is a prediction that is too high?
Can we make an accurate prediction or is there additional information that is needed to make a prediction?

17. Inquiry Lab Work with a partner and complete page 294

18. Inquiry Lab Work with a partner and complete page 294

19. Inquiry Lab Work with a partner and complete page 294

20. Lesson 6.7 Equivalent Expressions
Wednesday, Jan 18
Lesson 6.7 Equivalent Expressions

21. Equivalent Expressions
Objective: To understand how to use properties to simplify expressions.

22. Equivalent Expressions
A term can be a single number or variable or numbers and variables multiplied together and separated by addition or subtraction. e.g. 4x + 4 This expression has 2 terms.

23. Equivalent Expressions
A coefficient is the numerical factor of a term that contains a variable. e.g. 4x + 4 In this expression there is only one term that has a variable and the coefficient is 4.

24. Equivalent Expressions
A term without a variable is called a constant. e.g. 4x + 4 Constant.

25. Equivalent Expressions
Like terms are terms that contain the same variable. Only like terms and constants can be added or subtracted. e.g. 4x x Like terms

26. Equivalent Expressions
Complete on the back of your homework. Simplify – ( 4 + 2²) + 3³ 10 – ( 4 + 4) + 3³ 10 – 8 + 3³

27. Equivalent Expressions
To simplify an algebraic expression, use properties to write an equivalent expression that has no like terms and no parentheses. Numbers Variables = 2(3) or 6 x + x = 2x

28. Equivalent Expressions
Simplify the expression. 3(4x)

29. Equivalent Expressions
Simplify the expression. 3(4x) According to the Associative Property if an expression has all multiplication or all addition, we can remove the parenthesis. 3 · 4 · x Can we perform any operation?

30. Equivalent Expressions
Simplify the expression. 3(4x)

31. Equivalent Expressions
Simplify the expression. 3(4x) If we had 3 times this, how many x’s would we have?

32. Equivalent Expressions
Simplify the expression. 3(4x)

33. Equivalent Expressions
Simplify the expression. 3(4x) 12x Unlike terms can be multiplied and divided. Apply the operation to the coefficients and /or numbers.

34. Equivalent Expressions
Simplify the expression. 11 · 3x Do this on your own.

35. Equivalent Expressions
Simplify the expression. 11 · 3x 33x

36. Equivalent Expressions
Simplify the expression 5x + 3x + 6x

37. Equivalent Expressions
Simplify the expression.
5x + 3x + 6x

38. Equivalent Expressions
Simplify the expression 5x + 3x + 6x 8x + 6x 14x Like terms can be added and subtracted. When adding or subtracting like terms, add or subtract the coefficients.

39. Equivalent Expressions
Simplify the expression. 64s – 7s

40. Equivalent Expressions
Simplify the expression. 64s – 7s 57s

41. Equivalent Expressions
Simplify the expression 4(2x + y)

42. Equivalent Expressions
Simplify the expression 4(2x + y) 8x + 4y Remember – you must distribute the factor outside the parenthesis to both terms inside .

43. Equivalent Expressions
Simplify the expression. 6(f + 7)

44. Equivalent Expressions
Simplify the expression. 6(f + 7) 6f + 42

45. Equivalent Expressions
Properties can be used to simplify or factor expressions with two variables. Compare the effects of operations on numbers to the effects of operations on variables. Numbers Variables x + x + y x + y 10

46. Equivalent Expressions
Simplify the expression. 3x + 5y + 2x

47. Equivalent Expressions
Simplify the expression. 3x + 5y + 2x + + How many x tiles are there?

48. Equivalent Expressions
Simplify the expression. 3x + 5y + 2x + + 5x

49. Equivalent Expressions
Simplify the expression. 3x + 5y + 2x + + How many y tiles are there? 5x

50. Equivalent Expressions
Simplify the expression. 3x + 5y + 2x + + 5x + 5y

51. Equivalent Expressions
Simplify the expression. 8b + 5 – 5b

52. Equivalent Expressions
Simplify the expression. 8b + 5 – 5b 3b + 5

53. Equivalent Expressions
Simplify the expression. (6x + 21c) + 14x

54. Equivalent Expressions
Simplify the expression. (6x + 21c) + 14x 20x + 21c

55. Equivalent Expressions
Simplify the expression. 6(7g+ 4h)

56. Equivalent Expressions
Simplify the expression. 6(7g+ 4h) 42g + 24h Unlike terms can not be added.

57. Equivalent Expressions
Simplify the expression. 3(5b + h) + 6h

58. Equivalent Expressions
Simplify the expression. 3(5b + h) + 6h 15b + 3h + 6h 15b + 9h

59. Equivalent Expressions
Simplify the expression 9(3x + 2y)

60. Equivalent Expressions
Simplify the expression 9(3x + 2y) 27x + 18y

61. Equivalent Expressions
Factor the expression. 27x + 18y Remember – find the GCF of the coefficients.

62. Equivalent Expressions
Factor the expression. 27x + 18y 9(3x + 2y)

63. Equivalent Expressions
Factor the expression. 18a + 24b

64. Equivalent Expressions
Factor the expression. 18a + 24b 6(3a + 4b)

65. Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase.

66. Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. What is the expression that represent the a skirt that came with a top?

67. Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. x + 9 How many of those are there and how do we notate that?

68. Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. 3(x + 9) What is the expression that represent the skirts that came without tops?

69. Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. 3(x + 9) + 2x Can we simplify this?

70. Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. 3(x + 9) + 2x 3x x 5x + 27

71. Equivalent Expressions
Translate the verbal expression into an Simplify. 7x + 5(x + 3) + 4x – x - 2

72. Equivalent Expressions
Translate the verbal expression into an Simplify. 7x + 5(x + 3) + 4x – x – 2 7x + 5x x – x – 2 15x + 13

73. Equivalent Expressions
Complete on the back of your homework. Simplify – ( 4 + 2²) + 3³ 10 – ( 4 + 4) + 3³ 10 – 8 + 3³

74. Equivalent Expressions
Agenda Notes Skills Practice 6.7 Due Thursday, Jan 19 Help session Thursday, Jan 19 – 2:10-2:40 Chapter 6 Test Friday, Jan 20