1. The Distributive Property
Lesson 3-1 Pages
The Distributive Property

2. What you will learn!
How to use the Distributive Property to write equivalent numerical expressions.
How to use the Distributive Property to write equivalent algebraic expressions.

3. Equivalent Expressions
Vocabulary
Equivalent Expressions

4. What you really need to know!
The expressions 2(1 + 5) and 2•1 + 2•5 are equivalent expressions because they have the same value, 12. The Distributive Property combines addition and multiplication.

5. What you really need to know!
The Distributive Property also combines subtraction and multiplication. Rewrite subtraction as addition expressions.

7. Example 1:
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression.
4(5 + 8)
4•5 + 4•8 52

8. Example 2:
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression.
(6 + 9)2
6•2 + 9•2 30

9. Example 3:
North Country Rivers of York, Maine, offers one-day white-water rafting trips on the Kennebec River. The trip costs $69 per person, and wet suits are $15 each.
Write two equivalent expressions to find the total cost of one trip for a family of four if each person uses a wet suit.
( )4 or 69•4 + 15•4
$336

10. Example 4:
Use the Distributive Property to write each expression as an equivalent algebraic expression.
2(x + 4)
2x + 2•4
2x + 8

11. Example 5:
Use the Distributive Property to write each expression as an equivalent algebraic expression.
(y + 3)6
y6 + 3•6
6y + 18

12. Example 6:
Use the Distributive Property to write each expression as an equivalent algebraic expression.
4(x - 2)
4x - 4•2
4x - 8
4x + -8

13. Example 7:
Use the Distributive Property to write each expression as an equivalent algebraic expression.
-2(n - 3)
-2n - -2•3
-2n - -6
-2n + 6

14. Page 100
Guided Practice
#’s 3-11

16. Pages 98-100 with someone at home and study examples!
Read:
Pages with someone at home and study examples!

17. #’s 12-50 even #’s 54-55 #’s 64-71 Homework: Pages 101-102
Lesson Check 3-1

22. Page
728
Lesson 3-1

23. Lesson Check 3-1