Vocabulary
a term without a variable
constant
3x+10
What is the constant?
10
2(a+b)
2a+2b
(2x+1)+(3x+9)
5x+10
5x+15
5(x+3)
a number attached to a variable
coefficient
3x+2x+5
How many terms?
3
3(c+3)
3c+9
(-3x+1)+(9x+4)
6x+5
7x-49
7(x-7)
expressions that have the same value
equivalent expressions
-2x+3y-6
What are the coefficients?
-2, 3
2(a-b)
2a-2b
(-4x+5)+(9x-4)
5x+1
2x-15
cannot be factored
these are separated by addition and subtraction signs
terms
-4x+5x-6+7
Combine like terms.
x+1
5(5-2)
15
(3x-1)-(5x+3)
-2x-4
35x+7
these have the same variable and the same exponent
like terms
-2x+3y-7x+3y-7+1
Combine like terms.
-9x+6y-6
-2(b-9)
-2b+18
(9x-1)-(9x-1)
0
20w+45wt
5w(4+9t)