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Page 1: 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?

Page 2: 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.

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

Method 1

• Put them together• Add the lengths + = • Multiply ( ) =

2

7

4

6

42

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Method 2

• Separate them.• Multiply to find each area.

4(7) = 282(7) = 14

• Add.

2

7

4

7

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Key Concept

To multiply a number by a sum, multiply each number inside the parentheses by the number outside the parentheses.

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Use the Distributive Property

2(6 + 4)

(8 + 3)5

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4(5 + 8)

(6 + 9)2

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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.

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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.

Page 10: 3-1 The Distributive Property How are rectangles related to the Distributive Property?

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

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2(x – 1)

-3(n – 5)

4(x – 2)

-2(n – 3)


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