GOAL: TO USE A FIVE STEP PLAN TO SOLVE REAL WORLD PROBLEMS

Problem Solving Plan

5 Step Plan

1. Read the problem carefully Determine what is _______________ What is the question asking for? This will define

your variable

2. “Let x = _________”3. Draw a _______ or __________that represents

the problem4. Reread the problem and write an _________.5. Solve the equation and ______ your solution.

“Does my answer make sense?”

Review

AREA=

Perimeter=

Distance=

Cost=

Total Value=

Example 1

In any triangle, the sum of the measures of the angles is 180°. In triangle ABC, angle A is three times as large as angel B and also 16° larger than angle C. Find the measure of each angle.

Example 2

Theo has $5 more than Denise and Denise has $11 more than Rudy. Together they have $45. How much money does each have?

Example 3

Mona earns three times as much as an actuary as she does as a writer. Her total income is $40,000 more than that of her brother. He earns half as much as Mona does as an actuary. What is Mona’s salary as an actuary?

Example 4

One serving (1/2 cup) of cooked peas contains 45 more calories than one serving of cooked carrots and 50 more calories than one serving of cooked green beans. If one serving of carrots and three servings of green beans contain the same number of calories as one serving of peas, how many calories are there in one serving of peas?