1. Order of Operations Using Integers

2. “Operators” & “Terms”…
12 • • -6
Terms
Operators

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

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

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

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

7. Example 1 -2 -2 + 6(-8 + 5) -20 42 - 6 10 -2 + 6(-3) 42 - 6 -2 + 6(-3)
Holy Mackerel
-2 + 6(-3)
42 - 6 -2
-2 + 6(-3)
16 - 6
16 - 6

8. Example 2
12 • • -6
-42

9. Evaluating Algebraic Expressions
(2a) b2
Evaluate when a = -2, b = 4
(2•-2) •42
(-4) (4)2
(16)
16 + (-48)
-32

10. More “Placeholders” x2 - 2y2 + y Evaluate when x=7, y=-3
(-3)2 + -3
(9) + -3 28

11. Variables can “Vary” x2 - 2y2 + y Evaluate when x = -5, y = -2
(-5) (-2)2 + -2
(4) + -2 15

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

13. Try some on your own...