1. 1.2: Apply the Order of Operations
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Do NOW
Evaluate the expressions:
a when a = 1.2
b3 when b = 4
The number of weeks it takes you to read a novel is given by n/p, where n is the total pages in the novel and p is the pages read per week. How long will it take you to read a 340-page novel if you read 85 pages per week?
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1.2: Apply the Order of Operations

2. 1.2: Apply the Order of Operations
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Page 5 4)
2.4 8)
4.5
12)
1/3
16)
12 • 12 • 12 • 12 • 12
12 to the 5th power
20)
(1/8)(1/8)(1/8)(1/8)(1/8) (1/8)(1/8)(1/8)
1/8 to the 8th power
24)
It should be multiplied twice and not multiplied by 2
28) 1
32) 64
36)
16/81
40)
17.4
44) C
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1.2: Apply the Order of Operations

3. 1.2: Apply the Order of Operations
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Section 1.2
Evaluating and Solving Algebraic Expressions
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1.2: Apply the Order of Operations

4. 1.2: Apply the Order of Operations
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Order of Operations
To evaluate an algebraic expression, substitute a number for each variable and simplify by using the order of operations. One way to remember the order of operations is by using the mnemonic PEMDAS.
Order of Operations
Parentheses and grouping symbols.
Exponents.
Multiply and Divide from left to right.
Add and Subtract from left to right.
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1.2: Apply the Order of Operations

5. 1.2: Apply the Order of Operations
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Example 1
Evaluate 27 ÷ 32 × 2 – 3.
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1.2: Apply the Order of Operations

6. 1.2: Apply the Order of Operations
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Example 2
Evaluate 1/3(6) + 12 ÷ 3 × 42.
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1.2: Apply the Order of Operations

7. 1.2: Apply the Order of Operations
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Your Turn
Evaluate 1/3[30 – (8 + 13)] + 52.
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1.2: Apply the Order of Operations

8. 1.2: Apply the Order of Operations
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Example 3
Evaluate the expression when x = 4 of
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1.2: Apply the Order of Operations

9. 1.2: Apply the Order of Operations
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Example 4
Evaluate the expression when x = 4 of x3 – 3
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1.2: Apply the Order of Operations

10. 1.2: Apply the Order of Operations
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Your Turn
Evaluate the expression when x = 8 of
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1.2: Apply the Order of Operations

11. 1.2: Apply the Order of Operations
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Applications
Read the question TWICE.
Underline the key terms.
Solve. Draw pictures, if necessary.
Check your answer.
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1.2: Apply the Order of Operations

12. 1.2: Apply the Order of Operations
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Example 5
A group of 10 students volunteers to collect litter for one day. A sponsor provides 1 juice drink and 2 sandwiches for each student, and pays $25 for trash bags. The sponsor’s cost (in dollars) is given by the expression 10(j + 2s) + 25 where j is the cost of a juice drink and s is the cost of the sandwich. A juice drink costs $1.05 and a sandwich costs $ What is the sponsor’s cost?
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1.2: Apply the Order of Operations

13. 1.2: Apply the Order of Operations
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Your Turn
Little Johnny had 4 copies of a science report made to give to his lab partners. In each copied report, there were 20 black-and-white pages and 5 color pages. He paid a copy center to make and bind the copies. His cost in dollars is given by the expression, 4(5c + 20b), where c is the cost of a color page and b is the cost of a black-and-white page. What is the total cost if a color page costs $2 and a black-and-white page costs $0.05?
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1.2: Apply the Order of Operations

14. 1.2: Apply the Order of Operations
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Assignment
Page 10
4-18 even, even, 35
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1.2: Apply the Order of Operations