Distributive Property
Simplify: 2(5+c)
10 + 2c
This is the distributive property.
Simplify the expression.
-9a+4a
-5a
Add the following linear expressions.
(2x-5)+(-5x+10)
-3x+5
Subtract the linear expressions.
(3x+2)-(5x+6)
-2x-4
What are terms?
Parts of an expressions being added or subtracted together.
Simplify: (3 - a)4
12 + -4a or 12 - 4a
Simplify the expression.
-4x-3-2x+5
-6x+2
Add the following linear expressions.
(-3x-8)+(2x+9)
-x+1
Subtract the linear expressions.
(-3x+4)-(8x+4)
-11x
What are variable terms?
Parts of an expression that include a variable.
Simplify using the distributive property.
5(x+2)
5x+10
3x - 2y + 7x + 5y + 12
10x - 3y + 12
Add the following linear expressions.
6(-2x-1)+(5x+4)
-7x-2
Subtract the linear expressions.
(5x-7)-(-x-9)
6x+2
What are constant terms?
Parts of an expression that do not have a variable.
Rewrite using the distributive property.
(4y-7)(-4)
-16y+28
Simplify the expression.
-2y+3(5-y)-10+4y
-y+5
Add the following linear expressions.
(4x-14)+2(-5x+14)
-6x+14
Subtract the linear expressions.
(3x-5)-(-8x+1)
11x-6
What are like terms?
Parts of an expression that either have the same variable(s) or are both constants.
Simplify:
-3 (3 - 3y)
-9 + 9y
or 9y - 9
Simplify the expression.
3y - 4(2x - 4y)
19y-8x
-8x+19y
A triangle has sides 4x + 3, 5x + 1, and 10x - 5. What is its perimeter?
19x - 1
One week, Sam made (3x+4) dollars. The following week he made (x+8) dollars. How much more did he make the first week?
(2x-4) dollars
What are coefficients?
The number part of a variable term.