Download Combining Like Terms

Medina
1
Like terms: have the same variable (letter)
and power (exponent).
All numbers are like terms because they are
all constants
-4x and 3x
Like Terms
Not like terms
5x and 2x²
2x²y³ and 5x²y³
3x and 3
6x²y and 3xy²

7 and 6
Medina
2
Coefficient:
The number in front of the variable(s).

2x
The 2 is the coefficient.
-
yz
The -1 is the coefficient.
Medina
3
We combine like terms by following the rules of
integers, only adding the coefficients together
not the variables.
Examples:

2x² + 8x²
10 x²
4xy + (- 3xy)
7+ 6
xy
13
Medina
4
Examples Con’t:
6xy – 3xy²
* Can’t simplify because there are no like terms,
so the expression doesn’t change.
6xy – 3xy²
Medina
5
Examples Con’t:
4a – 3 + 3a
7a -3
-7m + 18 – 2 + (-2m)
-9m +16
11x + 14 – 7y + (-2x) + 4y
9x -3y +14
Medina
6
Find the perimeter: The sum of all sides
9
6x - 1
P=
+
+ 6x -1 + 9
P= 12x + 18 - 2
P=
+ 16
Medina
7