Chapter 1 – Tools of Algebra

1.6 – Problem Solving

1.6 – Problem Solving

In this section we will be reviewing:Using problem solving strategies to

solve real-life problems

1.6 – Problem Solving

Verbal model – an equation written in words

Algebraic model – mathematical statement written to solve the problem

1.6 – Problem Solving

Steps for Problem SolvingWrite a verbal modelAssign labelsWrite an algebraic modelSolve the algebraic modelAnswer the question

1.6 – Problem Solving

Example 1 The driving distance between Boston,

Massachusetts and Cleveland, Ohio is about 660 miles. You drive this trip in a total of 12.5 hours. Find your average speed.

1.6 – Problem Solving

Example 2 Your international calling plan charges 8 cents per

minute for weekday, daytime calls, and 5 cents per minute for night and weekend calls. If you made a total of 220 minutes of international calls during one billing cycle and your bill was $13.16, not including taxes and fees, how many minutes of night and weekend calls did you make?

1.6 – Problem Solving

Example 3 You just bought a used car and are

determining your monthly costs. Your monthly car payment will be $252. Your car insurance costs $684 every 6 months.

• If you have budgeted $450 each month for car expenses, how much money will you have available for buying gasoline each month?

1.6 – Problem Solving

Example 4 You are hanging three pictures on a wall that is 16

feet wide. The widths of the three pictures are 2 feet, 3 feet, and 4 feet. You want the space between the pictures to be the same, and for the spaces to the left and right of the group of pictures to each be 6 inches more than the space between adjacent pictures. How should you position the pictures?

1.6 – Problem Solving

HOMEWORK

Worksheet 1.6

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