1. Lesson Objective: I will be able to …
Add and subtract polynomials
Language Objective: I will be able to …
Read, write, and listen about vocabulary, key
concepts, and examples

2. Example 1: Adding and Subtracting Monomials
Page 29
Add or Subtract.
A. 12p3 + 11p2 + 8p3
12p3 + 11p2 + 8p3
Identify like terms.
Rearrange terms so that like terms are together.
12p3 + 8p3 + 11p2
20p3 + 11p2
Combine like terms.
B. 5x2 – 6 – 3x + 8
Identify like terms.
5x2 – 6 – 3x + 8
Rearrange terms so that like terms are together.
5x2 – 3x + 8 – 6
5x2 – 3x + 2
Combine like terms.

3. Example 1: Adding and Subtracting Monomials
Page 29
Add or Subtract.
C. t2 + 2s2 – 4t2 – s2
t2 + 2s2 – 4t2 – s2
Identify like terms.
Rearrange terms so that like terms are together.
t2 – 4t2 + 2s2 – s2
–3t2 + s2
Combine like terms.
D. 10m2n + 4m2n – 8m2n
10m2n + 4m2n – 8m2n
Identify like terms.
6m2n
Combine like terms.

4. Rearrange terms so that like terms are together. 2x8 – x8 + 7y8 – y8
Your Turn 1
Page 30
Add or subtract.
A. 2x8 + 7y8 – x8 – y8
Identify like terms.
2x8 + 7y8 – x8 – y8
Rearrange terms so that like terms are together.
2x8 – x8 + 7y8 – y8
x8 + 6y8
Combine like terms.
B. 9b3c2 + 5b3c2 – 13b3c2
9b3c2 + 5b3c2 – 13b3c2
Identify like terms.
b3c2
Combine like terms.

5. Example 2: Adding Polynomials
Page 30
Add.
A. (4m2 + 5) + (m2 – m + 6)
(4m2 + 5) + (m2 – m + 6)
Identify like terms.
Group like terms together.
(4m2 + m2) + (–m) +(5 + 6)
5m2 – m + 11
Combine like terms.
B. (10xy + x) + (–3xy + y)
(10xy + x) + (–3xy + y)
Identify like terms.
Group like terms together.
(10xy – 3xy) + x + y
7xy + x + y
Combine like terms.

6. Your Turn 2 Add (5a3 + 3a2 – 6a + 12a2) + (7a3 – 10a).
Page 30
Add (5a3 + 3a2 – 6a + 12a2) + (7a3 – 10a).
(5a3 + 3a2 – 6a + 12a2) + (7a3 – 10a)
(5a3 + 7a3) + (3a2 + 12a2) + (–10a – 6a)
12a3 + 15a2 – 16a

7. Example 3: Adding Polynomials
Page 31
Example 3: Adding Polynomials
Add.
Identify like terms.
Group like terms together.
Combine like terms.

8. Example 4: Subtracting Polynomials
Page 31
Example 4: Subtracting Polynomials
Subtract.
(7m4 – 2m2) – (5m4 – 5m2 + 8)
Rewrite subtraction as addition of the opposite.
(7m4 – 2m2) + (–5m4 + 5m2 – 8)
(7m4 – 2m2) + (–5m4 + 5m2 – 8)
Identify like terms.
(7m4 – 5m4) + (–2m2 + 5m2) – 8
Group like terms together.
2m4 + 3m2 – 8
Combine like terms.

9. Rewrite subtraction as addition of the opposite.
Your Turn 4
Page 31
Subtract.
(2x2 – 3x2 + 1) – (x2 + x + 1)
Rewrite subtraction as addition of the opposite.
(2x2 – 3x2 + 1) + (–x2 – x – 1)
(2x2 – 3x2 + 1) + (–x2 – x – 1)
Identify like terms.
(-x2 + 1) + (–x2 – x – 1)
Simplify.
–x2 + 0x + 1
+ –x2 – x – 1
Use the vertical method.
Write 0x as a placeholder.
–2x2 – x
Combine like terms.

10. Example 5: Agriculture Application
Page 32
A farmer must add the areas of two plots of land to determine the amount of seed to plant. The area of plot A can be represented by 3x2 + 7x – 5 and the area of plot B can be represented by 5x2 – 4x + 11.
Write a polynomial that represents the total area of both plots of land.
(3x2 + 7x – 5)
Plot A. +
(5x2 – 4x + 11)
Plot B.
8x2 + 3x + 6
Combine like terms.

11. Classwork
Assignment #4
Holt 7-6 #1-14