1.2: Apply the Order of Operations 12/6/2018 Do NOW Evaluate the expressions: a + 5.7 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? 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 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 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Section 1.2 Evaluating and Solving Algebraic Expressions 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 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. 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Example 1 Evaluate 27 ÷ 32 × 2 – 3. 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Example 2 Evaluate 1/3(6) + 12 ÷ 3 × 42. 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Your Turn Evaluate 1/3[30 – (8 + 13)] + 52. 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Example 3 Evaluate the expression when x = 4 of 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Example 4 Evaluate the expression when x = 4 of x3 – 3 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Your Turn Evaluate the expression when x = 8 of 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Applications Read the question TWICE. Underline the key terms. Solve. Draw pictures, if necessary. Check your answer. 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 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 $1.75. What is the sponsor’s cost? 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 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? 12/6/2018 7:22 PM 1.2: Apply the Order of Operations

1.2: Apply the Order of Operations 12/6/2018 Assignment Page 10 4-18 even, 22-30 even, 35 12/6/2018 7:22 PM 1.2: Apply the Order of Operations