Like Terms
Identify the like terms:
3x-6+9
-6 and 9
−3p + 6p
3p
What operation is happening to the variable second?
6 = −3(x + 2)
Multiply by -3
6 = (a/4) + 2
16
−12 = 2 + 5v + 2v
-2
Are there like terms in the expression? Why or why not?
8xy+9y-x2+y2
There are no like terms; there are no pairs of terms with the same variables and exponents.
9 + 5r − 9r
9-4r
What operation is happening to the variable second?
−3( 4r − 8) = −36
Subtract 8
9x − 7 = −7
0
−3( 4r − 8) = −36
5
Identify the two like terms:
2x+17-xy+4x2y+8y-9xy
-xy and -9xy
1 − 3v + 10
11-3v
What operation is happening to the variable first?
24 = 6( −x − 3)
Multiply by -1
2(n + 5) = −2
-6
75 = 3( −6n − 5)
-5
Identify all of the like terms:
xy2-3xy2+xy-9y+y2x-2x
xy2, -3xy2, and y2x
10x + 36 − 38x − 47
-28x-11
What is the second operation happening to the left side variable?
12( 2k + 11) = 12( 2k + 12)
Add 11
(n + 5)/ −16 = −1
11
−10n + 3( 8 + 8n ) = −6(n − 4)
0
Used to describe the process of adding like terms.
Collecting or Combining
3 − 8( 7 − 5n )
-53+40n
What is the third operation happening to the right side variable?
−12(x − 12) = −9( 1 + 7x )
Multiply by -9
8 + (b/−4 )= 5
12
12( 2k + 11) = 12( 2k + 12)
No Solution