1. Objective The student will be able to:
use the order of operations to
evaluate expressions.
Designed by Skip Tyler, Varina High School

2. 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.

3. ORDER OF OPERATIONS Remember BEMA. 1. Brackets - ( ) or [ ]
2. Exponents or Powers
3. Multiply and Divide (from left to right)
4. Add and Subtract (from left to right)

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

5. Example #1 14 ÷ 7 × 2 - 3
= 2 × (Divide left/right)
= (Multiply)
= 1 (Subtract)

6. Example #2 3(3 + 7) 2 ÷ 5 = 3(10) 2 ÷ 5 (brackets)
= 3(100) ÷ 5 (exponents)
= 300 ÷ 5 (multiplication)
= 60 (division)

7. Example #3 20 – 3 × (6 + 1) × 4
= 20 – 3 × (7) × 4 (parentheses)
= 20 – 3 × (7) × 4 (exponents)
= (7) × (Multiply l/r.)
= (Multiply l/r.)
= (Subtract l/r.)
= (Add l/r.)
= (Add.)

8. Which of the following represents 112 + 18 – 33 × 5 in simplified form?
-3,236 4
107
16,996
Answer Now

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

10. Simplify 24 – 6 × 4 ÷ 2 72 36 12
Answer Now

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

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

13. Example # 5 8y - 3x2 + 2n for x = 5, y = 2, n =3
= 8 × 2 – 3 × × (Substitute)
= 8 × 2 – 3 × × (exponents)
= 16 – 3 × × (Multiply l/r)
= × (Multiply l/r)
= (Multiply l/r)
= (Subtract l/r)
= (Add l/r)

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

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

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