1. Simplifying Expressions

2. Terms of an expression: the parts of an expression that are added together Like terms: terms that have identical variable parts.

3. Examples:
LIKE TERMS NOT LIKE TERMS
6x and 2x x2 and 2x
5y and 8y x and 8y
4x2 and 7x x2y and 7xy2

4. Equivalent variable expressions: Expressions that have the same value when simplified. Constant term: A term that has a number but no variable. Coefficient: The number in a term that is the product of a number and a variable.

6. Identify all of the terms like 2x4
Identify all of the terms like 2x A 5x B
3x2 C 5y D
12y E 2
Answer: A

7. Identify all of the terms like 8xy6
Identify all of the terms like 8xy A 8x B
3x2y C
39xy D 4y E
-8xy
Answer: C, E

8. Identify all of the terms like 14x28
Identify all of the terms like 14x2 A
-5x B
8x2 C
13y2 D x E
-x2
Answer: B, E

9. Practice
Identify the coefficients, like terms, and constant terms of the expression.
-3z z
– 9r + 7r - 6
2y + 8 – 2y – 4

10. Sometimes there are constant terms that can be combined. 9 + 2f + 6 =
Sometimes there will be both coeffients and constants to be combined.
3g g - 2
11g + 5
Notice that the sign before a given term goes with the number.

11. Simplify and expression
1.) 2b +6g(3) + 4f + 9f
2.) 9j h h + 3
3.) 7a a c c
4.) 8x + 56xy + 5y

12. 10
7x + 7y = 14xy
A True
B False
Answer: B False

13. 14
-15y + 7y = -8y
A True
B False
Answer: A True

14. Factor the following: 2v+7v+14v35
Factor the following: 2v+7v+14v A
7(2v + v + 2v) B
7v( ) C
7v (1 + 2) D
v( )
Answer: D

15. Application