Terminology
Terms that have the same variable and are raised to the same power
Like terms
12g + 9g
21g
4 (a+9)
4a+36
8-22a
2(-11a+4)
Find the sum:
(p-3)+(p-7)
2p-10
a number attached to and multiplying a variable
coefficient
3 – 9x + 7 – 3x
-12x+10
-3(x-5)
-3x+15
25d+30
5(5d+6)
Find the difference:
(k+3)-(3k-5)
-2k+8
a number with no variable attached
constant
6x – 7 + 2 + 9x
15x-5
11(6p+7)
66p+77
6y+3
3(2y+1)
(-6d+2)-(7+2d)
-8d+ (-5)
form of an expression when it has no parenthesis ( ) and no like terms
simplest form
19a – 7 – 3a + 12a
28a-7
5(6+3d)
15d+30
2t-10
2(t-5)
(6w+4)-(2w-1)
4w+5
a letter that stands for an unknown number
variable
4b – 9a – b + 7 – 9
-9a+3b-2
2(10+3y-5)
6y+10
16p-8
8(2p-1)
Factor the expression:
1.2k+2.4
1.2(k+2)