1. Objective The student will be able to:
use the order of operations to
evaluate expressions.

2. Essential Question:
How do I apply order of operations?

3. Evaluate • 3.
Is your answer 33 or 19?
You can get 2 different answers depending on which operation you did first. We want everyone to get the same answer so we must follow the order of operations.

4. Remember the phrase “Please Excuse My Dear Aunt Sally” or PEMDAS.
ORDER OF OPERATIONS
1. Parentheses - ( ) or [ ]
2. Exponents or Powers
3. Multiply and Divide (from left to right)
4. Add and Subtract (from left to right)

5. Once again, evaluate 7 + 4  3 and use the order of operations.
= (Multiply.)
= (Add.)

6. Example #1 14 ÷ 7 • 2 - 3
= 2 • (Divide)
= (Multiply.)
= 1 (Subtract.)

7. Example #2 3(3 + 7) ÷ 5 = 3(10) ÷ 5 (parentheses)
= 30 ÷ 5 (multiplication)
= 6 (division)

8. Example #3 20+102 + (6 + 1) • 4 = 20 + 102 + (7) • 4 (parentheses)
= (7) • 4 (exponents)
= (Multiply)
= (Add from left)
= (Add)
= (Add.)

9. Which of the following represents 112 + 18 · 5 in simplified form?
-3,236
211
107
16,996
Answer Now

10. Simplify (10 - 3) 2 -7 12 98
Answer Now

11. Simplify 24 – 6 · 4 ÷ 2 72 36 12
Answer Now

12. Evaluating a Variable Expression To evaluate a variable expression:
substitute the given numbers for each variable.
use order of operations to solve.

13. Example # 4 n + (13 - n)  5 for n = 8
= 8 + (13 - 8)  (Substitute.)
=  (parentheses)
= (Divide l/r.)
= (Add l/r.)

14. Example # 5 3x2 + 2n for x = 5, n =3 = 3  52 + 2  3 (Substitute.)
= 3   3 (Exponents)
=  3 (Multiply from left)
= (Multiply)
= (Add)

15. What is the value of -10 – 4x if x = -13?
-62
-42 42 52
Answer Now

16. What is the value of 5k3 if k = -4?
-8000
-320
-60
320
Answer Now

17. What is the value of if n = -8, m = 4, and t = 2 ?10
-10 -6 6
Answer Now