Vocabulary
In an expression, the parts being added together or subtracted.
Ex: 3x+2y+5
Terms
8a + 15a + a + 9
24a + 9
21b - 11b - 10 - 12b
-2b - 10
-7w - 5 + 17w
10w - 5
3 (2t +1)
6t + 3
Terms that contain the same variable(s) raised to the same power. These terms can be combined
Like terms
5x + 35 + 3x + 2
8x + 37
12c - 6c - (-30)
6c +30
19a - 6b - 17a - 3b + 9b - 2a
0
2 (15r - 11)
30r - 22
A symbol, usually a letter of the alphabet, used to represent a quantity that can change
Variable
32 + 12t + 16t + 8
28t + 40
5z - 55 - 26 - z
4z - 81
-2f - 1f - (-6) + 5f
2f + 6
12 ( 12F - 12)
144f - 144
The number placed in front of the variable.
ex: 3x
Coefficent.
6p + 32 + 16p + 2 + 4p
26p + 34
-7d - (-40) + 8d
d + 40
-5r + 3q - 8q - r
-6r -5q
4 (20y + 6x)
80y+24x
A variable with no number in front of it has an understood coefficient of what?
One.
m + 20n + 25m + 6n
26m + 26n
-15j - 18k - 24j - 18k
-39j - 36k
53t - (-20r) + 17 - 10t
43t + 20r +17
10xy (8+ 16)
80xy +160