1. Simplifying Algebraic Expressions
7.2

2. Parts of Algebraic Expressions
Term:
Separated by addition and subtraction signs.
Example:
List the Terms:
3x+4y -5
3x,4y,-5

3. Parts of Algebraic Expressions
Coefficient:
The numerical part of a term that contains a variable.
Example:
Identify the Coefficients:
3x+4y -5
3, 4

4. Parts of Algebraic Expressions
Like Term:
Terms that contain the same variable
Example:
Identify the Like Terms:
3x +7 +x+2xy
The 3x and x are like terms

5. Parts of Algebraic Expressions
Constant
A term without a variable
Example:
Identify the Constant:
5y +3 +2x 3

6. Identify the terms, like terms, coefficients, and constants in 2x+3x+4-4x
2,3,-4
Constants: 4

7. Simplify Algebraic Expressions
An Algebraic Expression is in its simplest terms when it has:
no like terms
No parenthesis

8. Simplifying the Expression
Use the Distributive Property
Example:
3x +2x
=(3+2) x
=5x

9. Ex: Simplify and Justify Steps 4x+6-3x
=4x+6+(-3x) Definition of Subtraction =4x+ (-3x) + 6 Commutative Property =(4+-3)x +6 Distributive Property =X+6 simplify

10. Ex: Simplify and Justify Your Steps 2m+3-7m-4
=2m +3+(-7m) +(-4) Definition of Subtraction
=2m+(-7m)+3+(-4) Commutative Property
=(2+-7)m + 3+ (-4) Distributive Property
=-5m+ (-1) or -5m -1 Simplify

11. Ex: Simplify and Justify Your Steps 4a-6-2(a-1)
=4a+(-6)+(-2)[a+(-1)] Definition of Subtraction =4a +(-6) +(-2)(a)+(-2)(-1) Distributive Property =4a +(-6)+(-2a) +2 Simplify =4a +(-2a) +(-6) + 2 Commutative Property =[4+(-2)] a + (-6) +2 Distributive Property =2a + (-4) or 2a -4 Simplify

12. Total Stamps= Matt+ Lola x+ (x+16) 1x +1x+ 16 (1+1)x +16 2x +16
Lola has 16 more stamps in her collection than Matt. Write an expression in simplest form that represents the total number of stamps in both collections.
Matt= x stamps
Lola=x + 16 stamps
Total Stamps= Matt+ Lola
x+ (x+16)
1x +1x+ 16
(1+1)x +16
2x +16

13. Homework
Page 302 (16-44) even