The Distributive Property Lesson 3-1 Pages 98-102 The Distributive Property

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.

Equivalent Expressions Vocabulary Equivalent Expressions

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.

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

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 20 + 32 52

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 12 + 18 30

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. (69 + 15)4 or 69•4 + 15•4 $336

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

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

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

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

Page 100 Guided Practice #’s 3-11

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

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

Page 728 Lesson 3-1

Lesson Check 3-1