1. Simplify and Evaluate Algebraic Expressions
TSWBAT identify coefficients of a term of and algebraic expression; simplify algebraic expressions by combining like terms; evaluate algebraic expressions for given values of the variable

2. Think What does simplify mean? Twice the sum of 4 and a number
What property could we use on this?
Distributive
8 + 2n x ( + )

3. Definitions Term Numerical coefficient Literal coefficient
A number, a variable, or the product of a number and one or more variable
Numerical coefficient
The numerical part of a term that contains a variable
Literal coefficient
The variable(s) of a term

4. Definitions Constant A term without a variable 2a + 3c + a + 2c +20
Numerical coefficient
Literal coefficient
Constant
2a + 3c + a + 2c +20
Algebraic expression
5 terms

5. Definitions Like terms Simplest form
Terms with the same literal coefficient
Those with the same variable, raised to the same powers
Simplest form
When an expression has no like terms

6. Simplifying Circle the like terms in the following expression.
4j + 82 – 2j + 7x
How could this expression be simplified?
4j – 2j = 2j
2j + 7x + 82

7. Simplifying
3m2n + |-8| + 2m2n
4w – w + 3
xy xy2 – 2x2y + |-7|

8. Class work
Worksheet
Homework
WB pg 73
1-15

9. Evaluating What does it mean to evaluate?
How would evaluate the following expression if x=4?
2x + 7
2(4) + 7
8 + 7 15

10. Definition
Evaluate
Plug the given values into the algebraic expression
Simplify following order of operation

11. Evaluating Evaluate the following when a = 3, b = -2, and c = 5 abc
a2 - |-c|
c3 – 4ab2
b(a + c)