1. 7.1 The Distributive Property

2. Distributive Property a(b + c) = ab + ac
a(b + c) and ab + ac are equivalent expressions

3. Write as a equivalent numeric expression and evaluate:
-7(9-3) -7(9) –(-7)(3)
-7(9)- (-7)(3) -63 – (-21)

4. Write as a equivalent numeric expression and evaluate:
(7+8)2.2 (2.2)7+ (2.2) 8
(2.2)7+(2.2)

5. Write as a equivalent numeric expression and evaluate:

6. Distributive Property:
Can help you do easier computations
Example: 8(22)
Break 22 up to 20+2
8(20+2)
8(20) +8(2)
160+16
176

7. You purchase 5 notebooks. Each costs $1. 30
You purchase 5 notebooks. Each costs $ Find the total cost by using the Distributive Property.
Way 1 (Addition)
Way 2 (Subtraction)
5 (1.30) 5( ) 5(1.00) +5(0.30) $6.50
5(1.30) 5( ) 5(2.00) – 5(0.70) $6.50

8. Write as a equivalent numeric expression and evaluate:

9. No because they are not like terms
Write the equivalent Algebraic Expression
5 (2x + 3)=
Can you add the 10x and the 15?
No because they are not like terms
10x
+ 15

10. Write the equivalent Algebraic Expression
4 (3y - 2)=
12y
- 8

11. Homework
Page 294 (10-23, 32-36) all