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1.2 Apply order of operations You will use the order of operations to evaluate expressions. Essential Question: How do you use the order of operations to evaluate an expression?

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Warm-Up Exercises Divide. Evaluate power – 3 = – 3 EXAMPLE – 3 = 3 2 – – 3 = 6 – 3 Multiply. Evaluate expressions Multiply and divide from left to right. STEP 3 Evaluate the expression – There are no grouping symbols, so go to Step 2. STEP 1 Evaluate powers. STEP 2

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Warm-Up Exercises STEP 4 Add and subtract from left to right. 6 – 3 = 3 EXAMPLE 1 Subtract. ANSWER The value of the expression – 3 is 3. Evaluate expressions

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Warm-Up Exercises GUIDED PRACTICE for Example 1 1. Evaluate the expression 20 – 4 2 ANSWER Evaluate the expression ANSWER Evaluate the expression ANSWER 3. 10

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Warm-Up Exercises GUIDED PRACTICE for Example 1 4. Evaluate the expression – 4 ANSWER 4. 47

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Warm-Up Exercises 24 – (9 + 1) = 2[9] EXAMPLE 2 Evaluate expressions with grouping symbols Evaluate the expression. a. 7(13 – 8) = = 35 Subtract within parentheses. Multiply. b.b. 24 – ( ) = Evaluate power. =24 – 10 Add within parentheses. = 14 Subtract. c. 2[30 – (8 + 13)] = Add within parentheses. Subtract within brackets. = 18 Multiply. 7(5) 2[30 – 21]

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Warm-Up Exercises EXAMPLE 3 Evaluate an algebraic expression Evaluate the expression when x = 4. 9x 3(x + 2) Substitute 4 for x. Add within parentheses = Multiply. =2 Divide. = 3(4 + 2) =

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Warm-Up Exercises GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression. 5. 4(3 + 9) = (8 – 2 2 ) = [( 9 + 3) 4 ] = 6

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Warm-Up Exercises GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression when y = 8. = 61 y 2 – 38. = 3 12 – y – 19. = 9 10y + 1 y

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Warm-Up Exercises Standardized Test Practice EXAMPLE 4

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Warm-Up Exercises Standardized Test Practice EXAMPLE 4 SOLUTION Substitute 1.25 for j and 2 for s. = 12( ) + 30 Multiply within parentheses. = Multiply. = 123 Add. The sponsor’s cost is $123.The correct answer is B.. AB C D ANSWER = 12(7.75) + 30 Add within parentheses. = 12( ) (3j +2s) + 30

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Warm-Up Exercises GUIDED PRACTICE for Example WHAT IF? In Example 4, suppose the number of volunteers doubles. Does the sponsor’s cost double as well? Explain. The sponsor’s cost is $216. No; the total cost of the juice drinks and sandwiches will double, but the cost of the trash bags will not. ANSWER

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Warm-Up Exercises Daily Homework Quiz 3. 2(c ) when c = 4 ANSWER 16 ANSWER (5 – 3) 2 Evaluate the expression. ANSWER

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Warm-Up Exercises Daily Homework Quiz The cost at the More Posters online store is less. ANSWER 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 ? 4.4. g 2 – 8 2g – 5 when g = 6

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You will use the order of operations to evaluate expressions. Essential Question: How do you use the order of operations to evaluate an expression? The order of operations is a series of steps to use when evaluating expressions. Parentheses, brackets, and fraction bars act as grouping symbols. Always evaluate expressions using the following order: evaluate expressions inside grouping symbols, evaluate powers, multiply and divide from left to right, and then add and subtract from left to right.

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