Presentation on theme: "Objective Use the order of operations to simplify expressions."— Presentation transcript:
1ObjectiveUse the order of operations to simplify expressions.
2Helpful Hint Please Parentheses Excuse Exponents My Multiply Dear order of operations tells which operation to perform first.Helpful HintThe first letter of these words can help youremember the order of operations.PleaseExcuseMyDearAuntSallyParenthesesExponentsMultiplyDivideAddSubtract
3Example 1: Translating from Algebra to Words Simplify each expression.A. 15 – 2 · 3 + 1B. 12 – ÷ 2
4Simplify the expression. Check It Out! Example 1aSimplify the expression.1 28 ÷ · 3
5Check It Out! Example 1bSimplify the expression.5.4 –
6Check It Out! Example 1cSimplify the expression.–20 ÷ [–2(4 + 1)]
7Example 2A: Evaluating Algebraic Expressions Evaluate the expression for the given valueof x.10 – x · 6 for x = 3
8Example 2B: Evaluating Algebraic Expressions Evaluate the expression for the given value of x.42(x + 3) for x = –2
9Check It Out! Example 2aEvaluate the expression for the given value of x.14 + x2 ÷ 4 for x = 2
10Check It Out! Example 2bEvaluate the expression for the given value of x.(x · 22) ÷ (2 + 6) for x = 6
19Example 4: Translating from Words to Math Translate each word phrase into a numerical or algebraic expression.A. the sum of the quotient of 12 and –3 and the square root of 25B. the difference of y and the product of 4and
20Check It Out! Example 4Translate the word phrase into a numerical or algebraic expression: the product of 6.2 and the sum of 9.4 and 8.
21Example 5: Retail Application A shop offers gift-wrapping services at three price levels. The amount of money collected for wrapping gifts on a given day can be found by using the expression 2B + 4S + 7D. On Friday the shop wrapped 10 Basic packages B, 6 Super packages S, and 5 Deluxe packages D. Use the expression to find the amount of money collected for gift wrapping on Friday.
22Check It Out! Example 5Another formula for a player's total number of bases is Hits + D + 2T + 3H. Use this expression to find Hank Aaron's total bases for 1959, when he had 223 hits, 46 doubles, 7 triples, and 39 home runs.