1. 3a2 + 4az + -6b
What is the coefficient in each term? Notice that it is obvious when we write + -6b, but when this is simplified to a single subtraction sign, it is less clear.
a2 + 2b – 6b

2. 3a2
-a2 a2
2a2
2b2
Which of these are like terms? Which are unlike? What is the coefficient and what is the order of each term?
3a3 6
3ab3

3. 2x3 and 2x
Whiteboards: Give me an example of two like terms containing the variable g. Give me an example of a variable with a coefficient of 6.
3ab2 and 2b2

4. 3x2 + 2x2
To combine like terms we must add together the coefficients of like terms.
5ab ab2 + ab2

5. 6a + 3a2 + 4a
Remember that if a term is being subtracted, that is the same as adding the negative term, so really the bottom one is , or 2.
5b b3 - 3b2

6. 2z z + 6z – z + 3
3ab - 2b ab - 3b3

7. 3a + 5a + 6
6 + z + 4z + 1
8z + 6 – 4z
3b – 4b + b2
2y + y – 5y
6) -x - y + 4y - x
7) 2x – 3 + 2y - 1
8) 2p – 4q p
9) 10x2 + 3x – 4x2
10) 6 – y + 2y2

8. 3a + 5a + 6 6) -x - y + 4y - x 6 + z + 4z + 1 7) 2x – 3 + 2y - 1
3b – 4b + b2
2y + y – 5y
6) -x - y + 4y - x
7) 2x – 3 + 2y - 1
8) 2p – 4q p
9) 10x2 + 3x – 4x2
10) 6 – y + 2y2
8a + 6
-3y – 2x
5z + 7
2x + 2y – 4
4z + 6
p – 4q + 3
-b + b
6x2 + 3x
6 – y + 2y2
-2y