Presentation on theme: "1.2 Apply order of operations"— Presentation transcript:
11.2 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?
2Evaluate the expression 27 32 2 3. – EXAMPLE 1Evaluate expressionsEvaluate the expression–STEP 1There are no grouping symbols, so go to Step 2.STEP 2Evaluate powers.– 3 = – 3Evaluate power.STEP 3Multiply and divide from left to right.– 3 = – 3Divide.– 3 = 6 – 3Multiply.
3Add and subtract from left to right. EXAMPLE 1Evaluate expressionsSTEP 4Add and subtract from left to right.6 – 3 = 3Subtract.ANSWERThe value of the expression – 3 is 3.
4GUIDED PRACTICEfor Example 11. Evaluate the expression 20 – 42ANSWER2. Evaluate the expressionANSWER3. Evaluate the expressionANSWER
5GUIDED PRACTICEfor Example 14. Evaluate the expression – 4ANSWER
6Evaluate expressions with grouping symbols EXAMPLE 2Evaluate expressions with grouping symbolsEvaluate the expression.a. 7(13 – 8) =7(5)Subtract within parentheses.=35Multiply.b.24 – (32 + 1) =24 – (9 + 1)Evaluate power.=24 – 10Add within parentheses.=14Subtract.c. 2[30 – (8 + 13)] =2[30 – 21]Add within parentheses.c.=2Subtract within brackets.=18Multiply.
7Evaluate an algebraic expression EXAMPLE 3Evaluate an algebraic expressionEvaluate the expression when x = 4.9x3(x + 2)=3(4 + 2)9 4Substitute 4 for x.3 69 4=Add within parentheses.1836=Multiply.=2Divide.
8GUIDED PRACTICEfor Examples 2 and 3Evaluate the expression.(3 + 9)= 486.3(8 – 22)= 127. 2[( 9 + 3) ]= 6
9GUIDED PRACTICEfor Examples 2 and 3Evaluate the expression when y = 8.y2 – 38.=6112 – y – 19.=310y + 1y + 110.= 9
11Standardized Test Practice EXAMPLE 4Standardized Test PracticeSOLUTION12(3j +2s) + 30= 12( ) + 30Substitute 1.25 for jand 2 for s.= 12( ) + 30Multiply withinparentheses.= 12(7.75) + 30Add within parentheses.=Multiply.= 123Add.Multiply.The sponsor’s cost is $123.The correct answeris BABCDANSWER
12GUIDED PRACTICEfor Example 411. 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 sandwicheswill double, but the cost of the trash bags will not.ANSWER
13Daily Homework QuizEvaluate the expression.ANSWER15(5 – 3)2ANSWER163. 2(c ) when c = 4ANSWER40
14Daily Homework Quiz4.g2 – 82g – 5when g = 6ANSWER45.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
15You 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.