Page 14 - Math Course 2 (Book 1)

The Distributive Property

Mo. 1

Lesson 2
Let’s Begin

KEY CONCEPTS:
1. Use the Distributive Property to write Use the Distributive Property
equivalent algebraic expressions.
2. Use the Distributive Property to write
equivalent numerical expressions. Examples
3. Use the Distributive Property to write
equivalent algebraic expressions.
Use the Distributive Property to write 4(5 + 8)
as an equivalent expression. Then evaluate the
expression.
MO. 1 - L2a 4(5 + 8) = 4 • 5 + 4 • 8 Multiply.

Writing Equivalent Numerical = 20 + 32 Add.
Expressions = 52

Vocabulary A-Z Answer 52

Let us learn some vocabulary

Use the Distributive Property to write (6 + 9)2
as an equivalent expression. Then evaluate the
Equivalent Expressions expression.
(6 + 9)2 = 6 • 2 + 9 • 2 Multiply.
Expressions that have the same value.
= 12 + 18 Add.
3(4 + 2) = 18 3 • 4 + 3 • 2 = 18
= 30
These are both equivalent expressions
because they have the same value, 18
Answer 30

Key Concept

Distributive Property REAL WORLD EXAMPLE

Words To multiply a number by a sum, multiply
each number inside the parentheses by RECREATION
the number outside the parentheses. A canoe camping class costs $80 per person,
including the cost for canoe rental. The cost for
Symbols a (b + c) = ab + ac (b + c)a = ba + ca food is an additional $39 per person. How much
would it cost for 4 peoples?
Method 1
Example 3 (4 + 2) = 3 • 4 + 3 • 2
Find the cost for 1 person, then multiply by 4.
4($80 + $39)
(5 + 3)2 = 5 • 2 + 3 • 2 4 times the cost for 1 person
Method 2
Find the cost of 4 classes and food for 4.
Then add.
4($80) + 4($39)
cost of four classes + cost of food for 4

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