3-1 The Distributive Property How are rectangles related to the Distributive Property?
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Transcript of 3-1 The Distributive Property How are rectangles related to the Distributive Property?
3-1 The Distributive Property
How are rectangles related to the Distributive Property?
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.
Method 1
• Put them together• Add the lengths + = • Multiply ( ) =
2
7
4
6
42
Method 2
• Separate them.• Multiply to find each area.
4(7) = 282(7) = 14
• Add.
2
7
4
7
Key Concept
To multiply a number by a sum, multiply each number inside the parentheses by the number outside the parentheses.
Use the Distributive Property
2(6 + 4)
(8 + 3)5
4(5 + 8)
(6 + 9)2
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.
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.
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
2(x – 1)
-3(n – 5)
4(x – 2)
-2(n – 3)