1. Order of Operations Using Integers

2. “Operators” & “Terms”… 12 -5 + -3 -6 TermsOperators

3. What do we do first???? -5 + 7 10 2 10 20 -5 + 7 10 -5 + 70 65 It Matters!!!! -5 + 7 10 =

4. The Order of Operations 1. Parenthesis 2. Exponents 3. Multiplication & Division (left to right) 4. Addition & Subtraction (left to right) 5. Simplify any Fraction All of Algebra is Based on…

5. What do we do first???? 5 + 7 10 12 10 120 5 + 7 10 5 + 70 75 5 + 7 10 = 5 + 7 10 5 + 70 75

6. The Order of Operations 1. Parenthesis 2. Exponents 3. Multiplication & Division (left to right) 4. Addition & Subtraction (left to right) 5. Simplify any Fraction Memorize These

7. Example 1 -2 + 6(-8 + 5) 4 2 - 6 -2 + 6(-3) 4 2 - 6 -2 + 6(-3) 16 - 6 -2 + -18 16 - 6 -20 10 -2 Holy Mackerel

8. 12 -5 + -3 -6 -60 + 18 -42 Example 2

9. Evaluate when a = -2, b = 4 (2a) 2 - 3b 2 (-4) 2 - 3(4) 2 16 - 3(16) 16 - 48 -32 (2-2) 2 - 34 2 Evaluating Algebraic Expressions 16 + (-48)

10. Evaluate when x=7, y=-3 x 2 - 2y 2 + y 7 2 - 2( - 3) 2 + - 3 49 - 2(9) + -3 49 - 18 + -3 31 + -3 28 More “Placeholders”

11. Evaluate when x = -5, y = -2 x 2 - 2y 2 + y (- 5) 2 - 2( - 2) 2 + - 2 25 - 2(4) + -2 25 - 8 + -2 17 + -2 15 Variables can “Vary”

12. Looks Easy BUT… Evaluate when a = -2 -a2-a2 2 only has power over the a (not the negative sign)

13. Try some on your own...