The Distributive Property & Factoring
Distributive...
3(–2x + 2)
-6x + 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
Factor
45 + 60x
15(3+4x)
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
Distributive and evaluate...
–4(–5 + 9)
-16 ?
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
Distributive and evaluate ...
2/5(10x-5)
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
Who are the Celtics playing tonight?
The Nets
Factor
28x - 42
14(2x-3)
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
Write an expression for the perimeter of an rectangular ice rink with side lengths 6m - 9 feet and 7m + 1 feet.
(26m - 16) feet