1. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression (x + 2) 2. 5 (2x + 7) 3. 2( x + 4) 4. 6(5 + 2 x)

2. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression (x + 2)

3. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression (x + 2) = 4x + 8

4. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression (2x + 7)

5. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression (2x + 7) = 10x + 35

6. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression. 3. 2( x + 4)

7. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression. 3. 2( x + 4) = 2x + 8

8. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression. 4. 6(5 + 2 x)

9. 5 Minute Check
Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression. 4. 6(5 + 2 x) = x

10. Inquiry Lab

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20. Inquiry Lab Work with a partner and complete page 494

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

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

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

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

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

26. Inquiry Lab

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

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

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

30. Lesson 6.6.7 Equivalent Expressions
Thursday, Nov 6
Lesson Equivalent Expressions

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

32. 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.

33. 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.

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

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

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

37. Equivalent Expressions
Simplify the expression 6(4x)

38. Equivalent Expressions
Simplify the expression 6(4x) According to the Associative Property if an expression has all multiplication or addition, we can remove the parenthesis. 6 · 4 · x Can we perform any operation?

39. Equivalent Expressions
Simplify the expressions 6(4x) 24x

40. Equivalent Expressions
Simplify the expression 11(3x) Do this on your own.

41. Equivalent Expressions
Simplify the expression 11(3x) 33x

42. Equivalent Expressions
Simplify the expression x + x + x Do this on your own.

43. Equivalent Expressions
Simplify the expression x + x + x 3x When adding like terms, add the coefficients.

44. Equivalent Expressions
Simplify the expression 5x + 3x + 6x Do this on your own.

45. Equivalent Expressions
Simplify the expression 5x + 3x + 6x 14x

46. Equivalent Expressions
Simplify the expression (14y + x) + 22y

47. Equivalent Expressions
Simplify the expression (14y + x) + 22y According to the Associative Property if an expression has all multiplication or addition, we can remove the parenthesis. 14y + x + 22y Can we perform any operation?

48. Equivalent Expressions
Simplify the expression (14y + x) + 22y 36y + x Remember you can only add or subtract like terms.

49. Equivalent Expressions
Simplify the expression 3x + (9y + 2x) Do this on your own.

50. Equivalent Expressions
Simplify the expression 3x + (9y + 2x) 5x + 9y

51. Equivalent Expressions
Simplify the expression 4(2x + y) Do this on your own.

52. Equivalent Expressions
Simplify the expression 4(2x + y) 4 ·2x + 4 · y 8x + 4y

53. Equivalent Expressions
Simplify the expression 9(3x + 2y) Do this on your own.

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

55. Equivalent Expressions
Simplify the expression 4(3x + 7y) Do this on your own.

56. Equivalent Expressions
Simplify the expression 4(3x + 7y) 4 ·3x + 4 · 7y 12x + 28y

57. Equivalent Expressions
What is the sum of 4 and a number added to 13 as an expression? Do this on your own.

58. Equivalent Expressions
What is the sum of 4 and a number added to 13 as an expression? 4 + n n

59. Equivalent Expressions
What is four sets of the sum a number and 6 as an expression?

60. Equivalent Expressions
What is four sets of the sum a number and 6 as an expression? 4( n + 6) 4n + 24

61. Equivalent Expressions
A farmer’s market sells fruit baskets. Each basket has 3 apples and 1 pear. Use a to represent the cost of each apple and p to represent the cost of each pear. Write and simplify an expression that represents the total cost of 5 baskets. What is in each group?

62. Equivalent Expressions
A farmer’s market sells fruit baskets. Each basket has 3 apples and 1 pear. Use a to represent the cost of each apple and p to represent the cost of each pear. Write and simplify an expression that represents the total cost of 5 baskets. (3a + p) How many groups are there?

63. Equivalent Expressions
A farmer’s market sells fruit baskets. Each basket has 3 apples and 1 pear. Use a to represent the cost of each apple and p to represent the cost of each pear. Write and simplify an expression that represents the total cost of 5 baskets. 5(3a + p) Can we simplify?

64. Equivalent Expressions
A farmer’s market sells fruit baskets. Each basket has 3 apples and 1 pear. Use a to represent the cost of each apple and p to represent the cost of each pear. Write and simplify an expression that represents the total cost of 5 baskets. 5(3a + p) = 15a + 5p

65. Equivalent Expressions
The gift bag from Claire Cosmetics includes 5 bottles of nail polish and 2 tubes of lip gloss. Use p to represent the cost of each bottle of nail polish and g to represent the cost of each tube of lip gloss. Write and simplify an expression that represents the total cost of 8 gift bags. Do this on your own.

66. Equivalent Expressions
The gift bag from Claire Cosmetics includes 5 bottles of nail polish and 2 tubes of lip gloss. Use p to represent the cost of each bottle of nail polish and g to represent the cost of each tube of lip gloss. Write and simplify an expression that represents the total cost of 8 gift bags. 8(5p + 2g) = 40p + 16g

67. Equivalent Expressions
A fall candle gift set has 4 vanilla candles and 6 pumpkin spice candles. Use v to represent the cost of each vanilla candles and p to represent the cost of each pumpkin spice candle. Write and simplify an expression that represents the total cost of 4 sets. Do this on your own.

68. Equivalent Expressions
A fall candle gift set has 4 vanilla candles and 6 pumpkin spice candles. Use v to represent the cost of each vanilla candles and p to represent the cost of each pumpkin spice candle. Write and simplify an expression that represents the total cost of 4 sets. 4(4v + 6p) = 16v + 24p

69. Equivalent Expressions
Seven friends have similar cell phone plans. The price of each plan is $x. Three of the seven friends pay an extra $4 per month for unlimited texts. Write and simplify and expression that represents the total cost of the seven plans. Do this on your own.

70. Equivalent Expressions
Seven friends have similar cell phone plans. The price of each plan is $x. Three of the seven friends pay an extra $4 per month for unlimited texts. Write and simplify and expression that represents the total cost of the seven plans. 3(x + 4) + 4x = 3x x = 7x + 12

71. 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. Do this on your own.

72. 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

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

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

75. Equivalent Expressions
Translate the verbal expression into an Simplify (x – 8) + 3x – 11 + x

76. Equivalent Expressions
Translate the verbal expression into an Simplify (x – 8) + 3x – 11 + x 6 + 2x – x – 11 + x 6x - 21

77. Equivalent Expressions
Agenda Notes Homework – Homework Practice Due Friday, Nov 7 Chapter 6.6 Test –Monday, Nov 10 Accum Rev 6 due Nov 10