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. Use the distributive property to write an equivalent
expression. Then simplify both to show they have
the same value. 1)
same 2)
same 3)
same

4. 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
12 + 4r
3) -7(8 - m)
8) 2(x - 8) m
2x - 16
4) 3(4 - a)
9) -5(2m - 3)
12 - 3a
-10m + 15
5) (3 - k)5
10) (6 - 2y)-3y
15 - 5k
6 - 5y

5. Factor the following. 1) 4) 2) 5) 3) 6)

6. Simplify the expression.1) 3) 2) 4)

7. Simplify each variable expression.
1) 7(x - 4) + 2x
4) 3(b - 2) + 6b
7x x
3b b 9x
- 28 9b
- 6
2) 5x + 3(x - 1)
5) -2(3m - 1) - 4m
5x + 3x - 3
-6m m 8x
- 3
-10m
+ 2
3) a - 2(4 - a ) - 1
6) 3(k - m) - 5(k + 2m)
a a - 1
3k - 3m
-5k - 10m 3a
- 9
-2k
- 13m

8. Find the perimeter of the figures below in
terms of x. 1) 2)