1. Combining Like Terms Warm Up Solve. 1. 9 + 13  5 + 3 20
Pre-Algebra
Combining Like Terms
Warm Up
Solve.
 5 + 3 20
2. 16   1 11
3. 20 ÷ 5 · 4 16
 20  2 3
5. Use distributive property to simplify this expression x 12 4

2. Introduction Video to Combining Like Terms

3. I CAN combine like terms in an expression.

4. Vocabulary

5. Terms in an expression are separated by plus or minus signs.
Like terms can be grouped together because they have the same variable raised to the same power.
Equivalent expressions have the same value for all values of the variables.

7. Additional Example 1: Combining Like Terms To Simplify
Combine like terms.
A. 14a – 5a
Identify like terms. 9a
Combine coefficients: 14 – 5 = 9
Identify like terms ; the coefficient of y is 1, because 1y = y.
B. 7y + 8 – 3y – 1 + y
Combine coefficients: 7 – = 5 and 8 – 1 = 7
5y + 7

8. Additional Example 2A: Combining Like Terms in Two-Variables Expressions
Combine like terms.
A. 9x + 3y – 2x + 5
9x + 3y – 2x + 5
Identify like terms.
7x + 3y + 5
Combine coefficients: 9 – 2 = 7

9. Additional Example 2B: Combining Like Terms in Two-Variable Expressions
Combine like terms.
B. 5t + 7p – 3p – 2t
5t + 7p – 3p – 2t
Identify like terms.
Combine coefficients: 5 – 2 = 3 and 7 – 3= 4
3t + 4p

10. Additional Example 2C: Combining Like Terms in Two-Variable Expressions
Combine like terms.
C. 4m + 9n – 2
4m + 9n – 2
No like terms.

11. Try This: Example 2 Combine like terms. 2x + 5x – 4y + 3
A. 2x + 5x – 4y + 3
2x + 5x – 4y + 3
Identify like terms.
7x – 4y + 3
Combine coefficients: = 7
B. 9d + 7c – 4d – 2c
9d + 7c – 4d – 2c
Identify like terms.
5d + 5c
Combine coefficients: 9 – 4 = 5 and 7 – 2 = 5
C. 8g + c – 6
8g + c – 6
No like terms.

12. Combining Like Terms Game

13. Classwork:
Work on EVEN ONLY Practice Problems on the BACK of the NOTES page!
Come up and check answers when finished
Homework:
Practice Problem Combining Like Terms Worksheet…ALL PROBLEMS! Glue on Page 72