Algebra 2

Today:• Class Announcements• 1.5 Notes• Group Problem Solving• Begin Homework• Return Quizzes

1.5 Problem Solving Using Algebraic Models

Objectives:1. Apply a problem solving plan in real

life2. Use unit analysis to convert units 

Vocabulary: unit analysis

Algebra 2

Key Formulas:d = rt d = distance, r = rate, t = time

Vocabulary:unit analysis – technique that

allows us toconvert from one unit system to

another.

Using Unit Analysis

1. Determine what unit you are given and the unit you are seeking

2. Begin with the unit you are given in the top-left box3. Cancel the unit by putting it in the denominator4. Continue this process until you have your desired unit

Algebra 2

15 feet = ? inches

84 inches = ? yards

1.5 hours = ? seconds

7 miles/hour = ? feet/second

In 1995, the Concorde flew 35,035 miles from New York City to New York City in 31 hours and 27 minutes. What was the average speed?

Algebra 2

If the Concorde flies at a rate of 1,114 mph, how long will it take to fly 3,469 miles from New York to London?

Algebra 2

Group Work

› May pick your own groups No more than four people in a group

› Volume must stay down› Stay on task› Worksheet will be collected at the end

of the class period

A shower head advertises a maximum flow rate of 2.5 gallons per minute. Find the flow rate if it fills a 22 gallon bathtub in 9.5 minutes. Is this within the advertised limits?

Algebra 2

The land speed record was broken in 1997 by a British car called the Thrust SSC. It traveled at a rate of 763 miles per hour. This was accomplished by using a jet engine. How long would it take the Thrust SSC to travel 100 miles?

Algebra 2

You just added a family room to your home. You have budgeted $450 for carpeting. If you need 30 square yards of carpeting, how much can you spend per square yard?

Algebra 2

You need to do an experiment at home for science and write a lab report on your findings. The experiment involves trials that take 5 minutes each to perform. You want to watch the Fighting Illini basketball game that starts in 1.5 hours. If it takes about 30 minutes to write the lab report, how many trials can you perform before the game starts?

Algebra 2

A salesman’s salary is $18,500 per year. In addition, the salesman earns 5% commission on the year’s sales. Last year the salesman earned $25,000. How much was sold that year?

Algebra 2

You want to wallpaper a room that will require 320 square feet of wallpaper. The paper you selected cost $21.99 per roll. Each roll will cover 40 square feet. How much will your project cost?

Algebra 2

The table gives the heights from the floor to the first few steps of a flight of stairs. Determine the height of the 14th step.

Step Landing 1 2 3

Height (in)

4 12 20 28

Algebra 2

• 1.5 pg. 38 #18, 20-23, 41, 42• Chapter 1 Test on Friday,

September 7th

Assignment