3-1 The Distributive Property How are rectangles related to the Distributive Property?

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  • Slide 1
  • 3-1 The Distributive Property How are rectangles related to the Distributive Property?
  • Slide 2
  • Finding the Area of a Rectangle You find the area of a rectangle by using the formula length times width. On the next page, you will see two rectangles. There are two ways of finding their total areas.
  • Slide 3
  • Method 1 Put them together Add the lengths + = Multiply ( ) = 2 7 4 6 42
  • Slide 4
  • Method 2 Separate them. Multiply to find each area. 4(7) = 28 2(7) = 14 Add. 2 7 4 7
  • Slide 5
  • Key Concept To multiply a number by a sum, multiply each number inside the parentheses by the number outside the parentheses.
  • Slide 6
  • Use the Distributive Property 2(6 + 4) (8 + 3)5
  • Slide 7
  • 4(5 + 8) (6 + 9)2
  • Slide 8
  • Use the Distributive Property to Solve a Problem A one-day pass to an amusement park costs $40. A round-trip bus ticket to the park costs $5. Write two equivalent expressions to find the total cost of a one-day pass and a bus ticket for 15 students. Find the total cost.
  • Slide 9
  • North Country Rivers of York, Maine, offers one- day white-water rafting trips on te Kennebec River. The trip costs $68 per person, and wet suits are $15 each to rent. Write two equivalent expressions to find the total cost of one trip for a family of four if each person rents a wet suit. Find the total cost.
  • Slide 10
  • Simplify Algebraic Expressions Use the Distributive Property to write each expression as an equivalent algebraic expression. 3(x + 1) (y + 4)5 4(x + 4) (y + 3)6
  • Slide 11
  • 2(x 1) -3(n 5) 4(x 2) -2(n 3)