1. Simplify and Evaluate algebraic expressions
Unit 2 lesson 1

2. Order of operations-Steps
1. Parentheses or other grouping symbols(evaluate what’s within) . 2. Exponents (evaluate) 3.Multiply or Divide in order from left to right. 4. Add or Subtract in order from left to right PEMDAS Please Excuse My Dear Aunt Sally

3. Example 1
PEMDAS
*Follow the order of operations 1 2 ( ) =

4. Commutative and Associative
Commutative property of addition a + b = b + a Commutative property of multiplication ab = ba Associative property of addition (a + b) + c = a + (b + c) Associative property of multiplication (a x b) x c = a x (b x c)

5. Example 2 *Use number properties and like terms (11k + 5) + 2k
Commutative property of addition
a + b = b + a
Associative property of addition
(a + b) + c = a + (b + c)
Example 2
*Use number properties and like terms (11k + 5) + 2k

6. Example 3 * Use the properties of addition 4s + 5t + (-3s) + 4t
Commutative property of addition
a + b = b + a
Associative property of addition
(a + b) + c = a + (b + c)
Example 3
* Use the properties of addition 4s + 5t + (-3s) + 4t

7. Distributive property
Distributive property over addition a(b + c) = ab + ac Distributive property over subtraction a(b - c) = ab - ac

8. Example 4
*Use number properties and combine like terms 2(4m + n ) – 2n

9. Example 5
*Combine like terms and use distributive property to find the GCF * Simplify and factor this expression 6x + 3x + 15y + 12y

10. Example 6
* Substitute the value of each variable into the expression.
Evaluate this expression when a = 8 and b = -7
12 + 3a – b

11. Example 7 *Substitute the value of each variable into the expression.
Evaluate this expression when m = -3 and n = -4
𝑚 2 + n

12. Example 8

13. Classwork activity. Homework Complete classwork
Work session
Classwork activity. Homework Complete classwork