Martin-Gay, Beginning Algebra, 5ed 22

General Strategy for Problem Solving

1 Introduction: Understand the problem by:• Read and reread the problem• Choose a variable to represent the unknown• Construct a drawing, whenever possible

2. Body: Translate the problem into an equation

and solve the equation

3. Conclusion: Interpret your result• State your conclusion

Martin-Gay, Beginning Algebra, 5ed 33

I Introduction:

II Body:

III Conclusion:

Martin-Gay, Beginning Algebra, 5ed 44

I Introduction:

II Body:

III Conclusion:

Martin-Gay, Beginning Algebra, 5ed 55

I Introduction:

II Body:

A car rental agency advertised renting a Buick Century for $24.95 per day and $0.29 per mile. If you rent this car for 2 days, how many whole miles can you drive on a $100 budget?

Let x = the number of whole miles driven

0.29x = the cost for mileage driven

Daily costs

2(24.95)

mileage costs

0.29x

plus

+

is equal to

= 100

maximum budget

Martin-Gay, Beginning Algebra, 5ed 66

II Body Continued:

2(24.95) + 0.29x = 100

49.90 + 0.29x = 100 Simplify left side.

0.29x = 50.10 Simplify both sides.

29.0

10.50

29.0

29.0x

Divide both sides by 0.29.

x 172.75 Simplify both sides.

Subtract 49.90 from both sides.49.90 – 49.90 + 0.29x = 100 – 49.90

The maximum number of whole number miles is 172.III Conclusion:

Martin-Gay, Beginning Algebra, 5ed 77

I Introduction

II Body

Martin-Gay, Beginning Algebra, 5ed 88

III Conclusion:

II Body Continued:

Martin-Gay, Beginning Algebra, 5ed 99

I Introduction:

II Body:

Martin-Gay, Beginning Algebra, 5ed 1010

III Conclusion:

II Body Continued:

Martin-Gay, Beginning Algebra, 5ed 1111

I Introduction:

II Body:

Martin-Gay, Beginning Algebra, 5ed 1212

III Conclusion:

II Body Continued: