# 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)