The Distributive Property
3(x + 2)
3x + 6
Simplify
6n + 3n - 5m + 12 + 9m
4m+9n+12
Add the linear expressions ...
(5x - 4) + (9x + 5)
14x + 1
Subtract the linear expressions ...
(-5x + 4) - (-3x - 2)
-2x + 6
How many terms does 3x - 4 + 2x - 7x have?
4
What is the GCF of 10 and 15?
5
4(-3x+6)
-12x+24
Simplify
-8a - 3b + 15b + 9 + 6
-8a +12b +15
Add the linear expressions ...
(-x + 4) + (-2x - 5)
-3x - 1
Subtract the linear expressions ...
(11x - 3) - (-4x + 12)
15x - 15
-5
What is the GCF of 21xy and 7y
7y
-7(4x - 5)
-28x + 35
Simplify ...
4x - 3x + 2x + 12 - 19
3x - 7
Add the linear expressions ...
(x - 1) + (-2x + 7)
-x + 6
Subtract the linear expressions ...
(x - 6) - (13x + 12)
-12x - 18
What is the coefficient of the second term in the expression 4 - 3x + 7x - 7
-3
Factor: 3x + 9
3(x + 3)
2/5(10x-5)
4x-2
Simplify...
2c - 3d - 5c + 4d + 8
-3c + d + 8
Add the linear expressions ...
(3x - 4) + (-2x - 9)
x - 13
Subtract the linear expressions ...
(-9x - 9) - (2x - 1)
-11x - 8
What does it mean to simplify an expression?
to combine like terms and remove all parentheses
Factor: 12x + 7y
Cannot Be Factored
-3/4(-12x-20)
9x + 15
Simplify...
12m - 19x - 3m + 19x + 12 - 18
9m - 6
Add the linear expressions ...
(11 + 9x) + (8 - 12x)
19 - 3x or -3x + 19
Subtract the linear expressions ...
(-8 - x) - (-4 - 3x)
-4 + 2x or 2x - 4
When you multiply a term outside parentheses by every term inside parentheses, it is called ______________.
The Distributive Property
Factor: 45xy - 81y
9y(5x - 9)