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The Distributive Property
What You'll Learn Vocabulary 1)  term 2)  like terms 3)  equivalent expressions 4)  simplest form 5)  coefficient The Distributive Property  ,[object Object],[object Object]
The Distributive Property  Eight customers each bought a bargain game and a new release. Calculate the total sales for these  customers.
The Distributive Property  Eight customers each bought a bargain game and a new release. Calculate the total sales for these  customers. There are two methods you could use to calculate the video game sales.
The Distributive Property  Eight customers each bought a bargain game and a new release. Calculate the total sales for these  customers. There are two methods you could use to calculate the video game sales.
The Distributive Property  Eight customers each bought a bargain game and a new release. Calculate the total sales for these  customers. There are two methods you could use to calculate the video game sales.
The Distributive Property  Eight customers each bought a bargain game and a new release. Calculate the total sales for these  customers. This is an example of the ____________________. There are two methods you could use to calculate the video game sales.
The Distributive Property  Eight customers each bought a bargain game and a new release. Calculate the total sales for these  customers. This is an example of the ____________________. Distributive Property There are two methods you could use to calculate the video game sales.
The Distributive Property  For any numbers,  a ,  b ,  and  c ,
The Distributive Property  For any numbers,  a ,  b ,  and  c , a ( b + c )  =
The Distributive Property  For any numbers,  a ,  b ,  and  c , a ( b + c )  =  ab + ac
The Distributive Property  For any numbers,  a ,  b ,  and  c , a ( b + c )  =  ab + ac  and  ( b + c ) a  =
The Distributive Property  For any numbers,  a ,  b ,  and  c , a ( b + c )  =  ab + ac  and  ( b + c ) a  =  ba + ca
The Distributive Property  For any numbers,  a ,  b ,  and  c , a ( b + c )  =  ab + ac  and  ( b + c ) a  =  ba + ca a ( b – c )  =
The Distributive Property  For any numbers,  a ,  b ,  and  c , a ( b + c )  =  ab + ac  and  ( b + c ) a  =  ba + ca a ( b – c )  =  ab – ac
The Distributive Property  For any numbers,  a ,  b ,  and  c , a ( b + c )  =  ab + ac  and  ( b + c ) a  =  ba + ca a ( b – c )  =  ab – ac  and  ( b – c ) a  =
The Distributive Property  For any numbers,  a ,  b ,  and  c , a ( b + c )  =  ab + ac  and  ( b + c ) a  =  ba + ca a ( b – c )  =  ab – ac  and  ( b – c ) a  =  ba – ca
The Distributive Property  Rewrite  8(10 + 4)  using the Distributive Property.  Then evaluate.
The Distributive Property  Rewrite  8(10 + 4)  using the Distributive Property.  Then evaluate.
The Distributive Property  Rewrite  8(10 + 4)  using the Distributive Property.  Then evaluate.
The Distributive Property  Rewrite  8(10 + 4)  using the Distributive Property.  Then evaluate.
The Distributive Property  Rewrite  8(10 + 4)  using the Distributive Property.  Then evaluate.  Rewrite  (12 – 4)6  using the Distributive Property.  Then evaluate.
The Distributive Property  Rewrite  8(10 + 4)  using the Distributive Property.  Then evaluate.  Rewrite  (12 – 4)6  using the Distributive Property.  Then evaluate.
The Distributive Property  Rewrite  8(10 + 4)  using the Distributive Property.  Then evaluate.  Rewrite  (12 – 4)6  using the Distributive Property.  Then evaluate.
The Distributive Property  Rewrite  8(10 + 4)  using the Distributive Property.  Then evaluate.  Rewrite  (12 – 4)6  using the Distributive Property.  Then evaluate.
The Distributive Property  A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of  operating both cars.
The Distributive Property  A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of  operating both cars.
The Distributive Property  A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of  operating both cars.
The Distributive Property  A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of  operating both cars.
The Distributive Property  A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of  operating both cars. It cost the family  $15,640  to operate their two cars.
The Distributive Property  Rewrite  4(r – 6)  using the Distributive Property.  Then simplify.
The Distributive Property  Rewrite  4(r – 6)  using the Distributive Property.  Then simplify.
The Distributive Property  Rewrite  4(r – 6)  using the Distributive Property.  Then simplify.
The Distributive Property  Rewrite  4(r – 6)  using the Distributive Property.  Then simplify.
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables.
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. number
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and  Like terms   are terms that contain the same _______, with corresponding variables having the same ______.
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and  Like terms   are terms that contain the same _______, with corresponding variables having the same ______. variable
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and  Like terms   are terms that contain the same _______, with corresponding variables having the same ______. variable power
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and  Like terms   are terms that contain the same _______, with corresponding variables having the same ______. variable power
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and  Like terms   are terms that contain the same _______, with corresponding variables having the same ______. variable power three terms
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and  Like terms   are terms that contain the same _______, with corresponding variables having the same ______. variable power three terms
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and  Like terms   are terms that contain the same _______, with corresponding variables having the same ______. variable power three terms like terms
The Distributive Property  A  term  is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example:  y,  8g 2 h  are all terms.   4a,  p 3  ,  and  Like terms   are terms that contain the same _______, with corresponding variables having the same ______. variable power three terms like terms unlike terms
The Distributive Property  The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n   and  7n   are __________.
The Distributive Property  The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n   and  7n   are __________. like terms
The Distributive Property  The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n   and  7n   are __________. like terms
The Distributive Property  The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n   and  7n   are __________. like terms The expressions  5n + 7n  and   12n   are called ______________________ because they denote the same number.
The Distributive Property  The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n   and  7n   are __________. like terms The expressions  5n + 7n  and   12n   are called ______________________ because they denote the same number. equivalent  expressions
The Distributive Property  The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n   and  7n   are __________. like terms The expressions  5n + 7n  and   12n   are called ______________________ because they denote the same number. equivalent  expressions An expression is in  simplest form  when it is replaced by an equivalent expression having no __________ or ____________.
The Distributive Property  The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n   and  7n   are __________. like terms The expressions  5n + 7n  and   12n   are called ______________________ because they denote the same number. equivalent  expressions An expression is in  simplest form  when it is replaced by an equivalent expression having no __________ or ____________. like terms
The Distributive Property  The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n   and  7n   are __________. like terms The expressions  5n + 7n  and   12n   are called ______________________ because they denote the same number. equivalent  expressions An expression is in  simplest form  when it is replaced by an equivalent expression having no __________ or ____________. like terms parentheses
The Distributive Property  Simplify each expression.
The Distributive Property  Simplify each expression.
The Distributive Property  Simplify each expression.
The Distributive Property  Simplify each expression.
The Distributive Property  Simplify each expression.
The Distributive Property  Simplify each expression.
The Distributive Property  Simplify each expression.
The Distributive Property  Simplify each expression.
The Distributive Property  Like terms  may be defined as terms that are the same or vary only by the  coefficient . Study Tip!
The Distributive Property  Like terms  may be defined as terms that are the same or vary only by the  coefficient . The  coefficient  of a term is the _______________. Study Tip!
The Distributive Property  Like terms  may be defined as terms that are the same or vary only by the  coefficient . The  coefficient  of a term is the _______________. numerical factor Study Tip!
The Distributive Property  Like terms  may be defined as terms that are the same or vary only by the  coefficient . The  coefficient  of a term is the _______________. numerical factor Example:  in the term  17xy ,  the coefficient  is ____. Study Tip!
The Distributive Property  Like terms  may be defined as terms that are the same or vary only by the  coefficient . The  coefficient  of a term is the _______________. numerical factor Example:  in the term  17xy ,  the coefficient  is ____. 17 Study Tip!
The Distributive Property  Like terms  may be defined as terms that are the same or vary only by the  coefficient . The  coefficient  of a term is the _______________. numerical factor Example:  in the term  17xy ,  the coefficient  is ____. 17 Study Tip!
The Distributive Property  Like terms  may be defined as terms that are the same or vary only by the  coefficient . The  coefficient  of a term is the _______________. numerical factor Example:  in the term  17xy ,  the coefficient  is ____. 17 Study Tip!
The Distributive Property  Find the  perimeter  of the rectangle.
The Distributive Property  Find the  perimeter  of the rectangle.
The Distributive Property  Find the  perimeter  of the rectangle.
The Distributive Property  Find the  perimeter  of the rectangle.
The Distributive Property  Find the  perimeter  of the rectangle.
The Distributive Property  Find the  perimeter  of the rectangle.
The Distributive Property  Find the  perimeter  of the rectangle.
The Distributive Property  Find the  perimeter  of the rectangle. The perimeter of the rectangle is  28 inches .
Credits  End of Lesson! PowerPoint created by http://robertfant.com Robert Fant

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Distributive Property (Algebra 1)

  • 2.
  • 3. The Distributive Property Eight customers each bought a bargain game and a new release. Calculate the total sales for these customers.
  • 4. The Distributive Property Eight customers each bought a bargain game and a new release. Calculate the total sales for these customers. There are two methods you could use to calculate the video game sales.
  • 5. The Distributive Property Eight customers each bought a bargain game and a new release. Calculate the total sales for these customers. There are two methods you could use to calculate the video game sales.
  • 6. The Distributive Property Eight customers each bought a bargain game and a new release. Calculate the total sales for these customers. There are two methods you could use to calculate the video game sales.
  • 7. The Distributive Property Eight customers each bought a bargain game and a new release. Calculate the total sales for these customers. This is an example of the ____________________. There are two methods you could use to calculate the video game sales.
  • 8. The Distributive Property Eight customers each bought a bargain game and a new release. Calculate the total sales for these customers. This is an example of the ____________________. Distributive Property There are two methods you could use to calculate the video game sales.
  • 9. The Distributive Property For any numbers, a , b , and c ,
  • 10. The Distributive Property For any numbers, a , b , and c , a ( b + c ) =
  • 11. The Distributive Property For any numbers, a , b , and c , a ( b + c ) = ab + ac
  • 12. The Distributive Property For any numbers, a , b , and c , a ( b + c ) = ab + ac and ( b + c ) a =
  • 13. The Distributive Property For any numbers, a , b , and c , a ( b + c ) = ab + ac and ( b + c ) a = ba + ca
  • 14. The Distributive Property For any numbers, a , b , and c , a ( b + c ) = ab + ac and ( b + c ) a = ba + ca a ( b – c ) =
  • 15. The Distributive Property For any numbers, a , b , and c , a ( b + c ) = ab + ac and ( b + c ) a = ba + ca a ( b – c ) = ab – ac
  • 16. The Distributive Property For any numbers, a , b , and c , a ( b + c ) = ab + ac and ( b + c ) a = ba + ca a ( b – c ) = ab – ac and ( b – c ) a =
  • 17. The Distributive Property For any numbers, a , b , and c , a ( b + c ) = ab + ac and ( b + c ) a = ba + ca a ( b – c ) = ab – ac and ( b – c ) a = ba – ca
  • 18. The Distributive Property Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
  • 19. The Distributive Property Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
  • 20. The Distributive Property Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
  • 21. The Distributive Property Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
  • 22. The Distributive Property Rewrite 8(10 + 4) using the Distributive Property. Then evaluate. Rewrite (12 – 4)6 using the Distributive Property. Then evaluate.
  • 23. The Distributive Property Rewrite 8(10 + 4) using the Distributive Property. Then evaluate. Rewrite (12 – 4)6 using the Distributive Property. Then evaluate.
  • 24. The Distributive Property Rewrite 8(10 + 4) using the Distributive Property. Then evaluate. Rewrite (12 – 4)6 using the Distributive Property. Then evaluate.
  • 25. The Distributive Property Rewrite 8(10 + 4) using the Distributive Property. Then evaluate. Rewrite (12 – 4)6 using the Distributive Property. Then evaluate.
  • 26. The Distributive Property A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of operating both cars.
  • 27. The Distributive Property A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of operating both cars.
  • 28. The Distributive Property A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of operating both cars.
  • 29. The Distributive Property A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of operating both cars.
  • 30. The Distributive Property A family owns two cars. In 1995, they drove the first car 18,000 miles and the second car 16,000 miles. Use the graph to find the total cost of operating both cars. It cost the family $15,640 to operate their two cars.
  • 31. The Distributive Property Rewrite 4(r – 6) using the Distributive Property. Then simplify.
  • 32. The Distributive Property Rewrite 4(r – 6) using the Distributive Property. Then simplify.
  • 33. The Distributive Property Rewrite 4(r – 6) using the Distributive Property. Then simplify.
  • 34. The Distributive Property Rewrite 4(r – 6) using the Distributive Property. Then simplify.
  • 35. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables.
  • 36. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. number
  • 37. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number
  • 38. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product
  • 39. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient
  • 40. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and
  • 41. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and Like terms are terms that contain the same _______, with corresponding variables having the same ______.
  • 42. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and Like terms are terms that contain the same _______, with corresponding variables having the same ______. variable
  • 43. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and Like terms are terms that contain the same _______, with corresponding variables having the same ______. variable power
  • 44. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and Like terms are terms that contain the same _______, with corresponding variables having the same ______. variable power
  • 45. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and Like terms are terms that contain the same _______, with corresponding variables having the same ______. variable power three terms
  • 46. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and Like terms are terms that contain the same _______, with corresponding variables having the same ______. variable power three terms
  • 47. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and Like terms are terms that contain the same _______, with corresponding variables having the same ______. variable power three terms like terms
  • 48. The Distributive Property A term is a ________, a _________, or a ________ or _________ of numbers and variables. variable number product quotient Example: y, 8g 2 h are all terms. 4a, p 3 , and Like terms are terms that contain the same _______, with corresponding variables having the same ______. variable power three terms like terms unlike terms
  • 49. The Distributive Property The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n and 7n are __________.
  • 50. The Distributive Property The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n and 7n are __________. like terms
  • 51. The Distributive Property The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n and 7n are __________. like terms
  • 52. The Distributive Property The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n and 7n are __________. like terms The expressions 5n + 7n and 12n are called ______________________ because they denote the same number.
  • 53. The Distributive Property The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n and 7n are __________. like terms The expressions 5n + 7n and 12n are called ______________________ because they denote the same number. equivalent expressions
  • 54. The Distributive Property The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n and 7n are __________. like terms The expressions 5n + 7n and 12n are called ______________________ because they denote the same number. equivalent expressions An expression is in simplest form when it is replaced by an equivalent expression having no __________ or ____________.
  • 55. The Distributive Property The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n and 7n are __________. like terms The expressions 5n + 7n and 12n are called ______________________ because they denote the same number. equivalent expressions An expression is in simplest form when it is replaced by an equivalent expression having no __________ or ____________. like terms
  • 56. The Distributive Property The Distributive Property and the properties of equality can be used to show that 5n + 7n = 12n 5n and 7n are __________. like terms The expressions 5n + 7n and 12n are called ______________________ because they denote the same number. equivalent expressions An expression is in simplest form when it is replaced by an equivalent expression having no __________ or ____________. like terms parentheses
  • 57. The Distributive Property Simplify each expression.
  • 58. The Distributive Property Simplify each expression.
  • 59. The Distributive Property Simplify each expression.
  • 60. The Distributive Property Simplify each expression.
  • 61. The Distributive Property Simplify each expression.
  • 62. The Distributive Property Simplify each expression.
  • 63. The Distributive Property Simplify each expression.
  • 64. The Distributive Property Simplify each expression.
  • 65. The Distributive Property Like terms may be defined as terms that are the same or vary only by the coefficient . Study Tip!
  • 66. The Distributive Property Like terms may be defined as terms that are the same or vary only by the coefficient . The coefficient of a term is the _______________. Study Tip!
  • 67. The Distributive Property Like terms may be defined as terms that are the same or vary only by the coefficient . The coefficient of a term is the _______________. numerical factor Study Tip!
  • 68. The Distributive Property Like terms may be defined as terms that are the same or vary only by the coefficient . The coefficient of a term is the _______________. numerical factor Example: in the term 17xy , the coefficient is ____. Study Tip!
  • 69. The Distributive Property Like terms may be defined as terms that are the same or vary only by the coefficient . The coefficient of a term is the _______________. numerical factor Example: in the term 17xy , the coefficient is ____. 17 Study Tip!
  • 70. The Distributive Property Like terms may be defined as terms that are the same or vary only by the coefficient . The coefficient of a term is the _______________. numerical factor Example: in the term 17xy , the coefficient is ____. 17 Study Tip!
  • 71. The Distributive Property Like terms may be defined as terms that are the same or vary only by the coefficient . The coefficient of a term is the _______________. numerical factor Example: in the term 17xy , the coefficient is ____. 17 Study Tip!
  • 72. The Distributive Property Find the perimeter of the rectangle.
  • 73. The Distributive Property Find the perimeter of the rectangle.
  • 74. The Distributive Property Find the perimeter of the rectangle.
  • 75. The Distributive Property Find the perimeter of the rectangle.
  • 76. The Distributive Property Find the perimeter of the rectangle.
  • 77. The Distributive Property Find the perimeter of the rectangle.
  • 78. The Distributive Property Find the perimeter of the rectangle.
  • 79. The Distributive Property Find the perimeter of the rectangle. The perimeter of the rectangle is 28 inches .
  • 80. Credits End of Lesson! PowerPoint created by http://robertfant.com Robert Fant