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Like Terms & Unlike Terms
These are LIKE terms: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
These are LIKE terms:
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
These are LIKE terms: x, 2x, 3x, 4x, 5x, 6x, 7x, 8x, 9x
These are LIKE terms: x2, 2x2, 3x2, 4x2, 5x2, 6x2, 7x2, 8x2, 9x2
These are LIKE terms: x3, 2x3, 3x3, 4x3, 5x3, 6x3, 7x3, 8x3, 9x3
These are UNLIKE terms: 2, 2x2, 2x3
These are monomials (monomial means one term):
2
4x 6x 3x2 4
6x3 There are like and unlike terms here.
These are binomials (binomial means two terms)
2 – 4x
6x – 8
2x2 - 5
2 – 4x
The two is a whole number and the 4x is a variable with a
coefficient of 4. 4x is the same as 4 times x.
You CANNOT Add or Subtract UNLIKE terms
You CAN Multiply or Divide UNLIKE terms
You CANNOT Add or Subtract the Coefficient from a Variable
You CAN Multiply or Divide the Coefficient from a Variable
Like & Unlike Terms Page 1 of 2
Like Terms & Unlike Terms
For an equation 2y – 8x = 16 where you want y by itself for
slope intercept form y = mx + b the next step is:
2y – 8x + 8x = 16 + 8x
You can only add or subtract here 2y – 8x = 16
So
2y – 8x + 8x = 16 + 8x leaves you with:
2y = 16 + 8x
NOW you can divide the 2 from the y AND from the terms on
the other side of the equation. You must keep an equation
balanced.
Whatever you do to one side you must do to the other side.
2y = 16 + 8x
2
2
2/2 = 1 and 1y is just equal to y
16/2 = 8 and 8x/2 is 4x
y = 8 + 4x is the final answer.
You can change the 8 + 4x to 4x + 8 by the commutative property
for addition to get the exact y = mx + b slope intercept form.
y = 4x + 8
Like & Unlike Terms Page 2 of 2