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OBJECTIVES 1.8 Applications and Problem Solving Slide 1Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. aSolve applied problems involving addition, subtraction, multiplication, or division of whole numbers.

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1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. To solve a problem, we use the five-step strategy. The first of these five steps, becoming familiar with the problem, is probably the most important.

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1.8 Applications and Problem Solving FIVE STEPS FOR PROBLEM SOLVING Slide 3Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1.Familiarize this means to read and reread it carefully a) Make a drawing, if it makes sense to do so. b) Make a written list of the known facts and a list of what you wish to find out. c) Assign a letter, or variable, to the unknown.

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1.8 Applications and Problem Solving FIVE STEPS FOR PROBLEM SOLVING Slide 4Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. d) Organize the information in a chart or a table. e) Look up a formula f) Guess or estimate the answer and check your guess or estimate. 2. Translate the problem to an equation using the variable. 3. Solve the equation.

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1.8 Applications and Problem Solving FIVE STEPS FOR PROBLEM SOLVING Slide 5Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 4. Check to see whether your possible solution actually fits the problem situation. 5. State the answer clearly using a complete sentence and appropriate units.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. Checking Account Balance. Slide 6Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. The balance in Francisco’s checking account is $573. He uses his debit card to buy a juicer that costs $99. Find the new balance in his checking account.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 2Checking Account Balance. Slide 7Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1. Familiarize. We let B = the new balance in Francisco’s checking account. We start with $573 and take away $99.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 2Checking Account Balance. Slide 8Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2. Translate. We translate to an equation:

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 2Checking Account Balance. Slide 9Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 3. Solve. This equation tells us what to do. We subtract.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 2Checking Account Balance. Slide 10Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 4. Check. To check our answer of $474, we can repeat the calculation. Rounding will help you to find the answer reasonable.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 2Checking Account Balance. Slide 11Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 5. State. The new balance in Francisco’s checking account is

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 4Total Cost of Chairs. Slide 12Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 1. Familiarize. We let C = the cost of 6 chairs. What is the total cost of 6 Adirondack chairs if each one costs $169?

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 4Total Cost of Chairs. Slide 13Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2. Translate. 3. Solve.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 4Total Cost of Chairs. Slide 14Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 4. Check. 5. State.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 7Automobile Mileage. Slide 15Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. The 2009 Toyota Matrix gets 21 miles to the gallon (mpg) in city driving. How many gallons will it use in 3843 mi of city driving? Source: Toyota 1. Familiarize. We let g = the number of gallons of gasoline used in 3843 mi of city driving.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 7Automobile Mileage. Slide 16Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2. Translate.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 7Automobile Mileage. Slide 17Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 3. Solve.

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EXAMPLE 1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. 7Automobile Mileage. Slide 18Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 4. Check. 5. State. The Toyota Matrix will use gal of gasoline.

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1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. Slide 19Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Sometimes we must use more than one operation to solve a problem.

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1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. Slide 20Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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1.8 Applications and Problem Solving a Solve applied problems involving addition, subtraction, multiplication, or division of whole numbers. Slide 21Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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