Objective - To use the distributive property to simplify numerical and variable expressions.

1
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)
2)
3)
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)
-56 7m
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 - 28 2x
3b - 6 6b
9x
- 28
9b
- 6
2) 5x 3(x - 1)
5) -2(3m - 1) - 4m
5x 3x - 3
-6m 2 - 4m
8x
- 3
-10m
2
3) a - 2(4 - a ) - 1
6) 3(k - m) - 5(k 2m)
-5k - 10m
a - 8 2a - 1
3k - 3m
3a
- 9
-2k
- 13m
8
Find the perimeter of the figures below in terms
of x.
1)
2)