1. Distributive Property
Objective - To use the distributive property to simplify numerical and variable expressions.
Distributive Property or
Order of Operations
Distributive
Property
It works!
Why use the distributive property?

2. Simplify using the distributive property.1) 4) 2) 5) 3) 6)

3. Distributive Property2 5 = 5
( ) 2 + 5
( ) 3 3 + 10 15 5
( ) 2s + 3t =
10s +
15t

4. Simplify using the distributive property.1) 4) 2) 5) 3) 6)

5. Geometric Model for Distributive Property4 5 2
Two ways to find the area of the rectangle.
As a whole
As two parts

6. Geometric Model for Distributive Property4 5 2
Two ways to find the area of the rectangle.
As a whole
As two parts
same

7. Find the area of the rectangle in terms of x, y
and z in two different ways. x y z
As a whole
As two parts

8. Find the area of the rectangle in terms of x, y
and z in two different ways. x y z
As a whole
As two parts
same

9. Use the distributive property to simplify.
1) 3(x + 7)
6) x(a + m)
3x + 21
ax + mx
2) 2(a - 4)
7) -4(3 - r)
2a - 8 r
3) -7(8 - m)
8) - (x - 8) 1 m
-x + 8
4) 3(4 - a)
9) -(2m - 3)
12 - 3a
-2m + 3
5) (3 - k)5
10) (6 - 2y)3
15 - 5k
18 - 6y