1. Apply Order of Operations
Warm Up
Lesson Presentation
Lesson Quiz

2. Warm-Up
Evaluate the expression.
1. a when a = 1.3
ANSWER 7
2. b3 when b = 4
ANSWER 64

3. Warm-Up
3. The number of weeks it takes you to read a novel is given by , where n is total pages in the novel and p is pages read per week. How long will it take you to read a 340-page novel if you read 85 pages per week? n p
ANSWER
4 weeks

4. Evaluate the expression 27 32 2 3. –
Example 1
Evaluate the expression –
STEP 1
There are no grouping symbols, so go to Step 2.
STEP 2
Evaluate powers.
– 3 = – 3
Evaluate power.
STEP 3
Multiply and divide from left to right.
– 3 = – 3
Divide.
– 3 = 6 – 3
Multiply.

5. Add and subtract from left to right.
Example 1
STEP 4
Add and subtract from left to right.
6 – 3 = 3
Subtract.
ANSWER
The value of the expression – 3 is 3.

6. Guided Practice
1. Evaluate the expression 20 – 42 .
ANSWER 4
2. Evaluate the expression
ANSWER 22
3. Evaluate the expression
ANSWER 10
4. Evaluate the expression – 4 .
ANSWER 47

7. Evaluate the expression.
Example 2
Evaluate the expression.
a. 7(13 – 8) =
7(5)
Subtract within parentheses. = 35
Multiply. b.
24 – (32 + 1) =
24 – (9 + 1)
Evaluate power. =
24 – 10
Add within parentheses. = 14
Subtract.
c. 2[30 – (8 + 13)] =
2[30 – 21] c.
Add within parentheses. =
2[9]
Subtract within brackets. = 18
Multiply.

8. Guided Practice
5. Evaluate the expression 4(3 + 9) .
ANSWER 48 6.
Evaluate the expression 3(8 – 22) .
ANSWER 12
7. Evaluate the expression 2[(9 + 3)  4] .
ANSWER 6

9. Evaluate the expression when x = 4.
Example 3
Evaluate the expression when x = 4. 9x
3(x + 2) =
3(4 + 2)
9 4
Substitute 4 for x.
3 6
9 4 =
Add within parentheses. 18 36 =
Multiply. = 2
Divide.

10. Guided Practice
Evaluate the expression when y = 8.
y2 – 3 8. = 61
12 – y – 1 9. = 3
10y + 1
y + 1
10.
= 9

11. Example 4

12. The sponsor’s cost is $123.The correct answer is B. . A B C D ANSWER
Example 4
SOLUTION
12(3j +2s) + 30
= 12( ) + 30
Substitute 1.25 for j
and 2 for s.
= 12( ) + 30
Multiply within
parentheses.
= 12(7.75) + 30
Add within parentheses. =
Multiply.
Multiply.
= 123
Add.
The sponsor’s cost is $123.The correct answer
is B A B C D
ANSWER

13. Guided Practice
WHAT IF? In Example 4, suppose the number of volunteers doubles. Does the sponsor’s cost double as well? Explain.
No; the total cost of the juice drinks and sandwiches
will double, but the cost of the trash bags will not.
ANSWER

14. Lesson Quiz
Evaluate the expression. 
ANSWER 15
(5 – 3)2
ANSWER 16
3. 2(c ) when c = 4
ANSWER 40 4.
g2 – 8
2g – 5
when g = 6
ANSWER 4

15. Lesson Quiz 5.
The cost (in dollars) to buy p posters at the Posters Plus online store is given by the expression 3.5p At the More Posters online store, the cost is given by 4.25p Which store has the lower cost for 5 posters?
The cost at the More Posters online store is less.
ANSWER