Algebra II Workbook - Wayne County Public Schools

LESSON
1.5
NAME _________________________________________________________ DATE ____________
Practice with Examples
For use with pages 33–40
GOAL
Use a general problem-solving plan and other strategies to solve real-life
problems
VOCABULARY
A verbal model is an expression that uses words to represent a real-life
situation.
EXAMPLE 1
The verbal model is then used to write a mathematical statement, called
an algebraic model.
Drawing a Diagram
Two airports, one in California and one in New York, are 3000 miles
apart. A plane leaving California is traveling to New York at 200 miles
per hour. Another plane leaving New York is traveling to California at
250 miles per hour. When will the two planes pass each other?
Chapter 1
SOLUTION
3000 miles
New York
California
From California
From New York
Verbal
Model
Total
distance
Miles
per hour
Number
of hours
Miles
per hour
Number
of hours
Labels Total distance 3000
(miles)
California rate 200
(miles per hour)
California time t
(hours)
New York rate 250
(miles per hour)
New York time t
(hours)
Algebraic
3000 200t 250t
Write algebraic model.
Model 3000 450t
Combine like terms.
6 2 3 t
Divide each side by 450.
After
6 2 3
hours, the two planes will pass each other.
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Algebra 2 13
Practice Workbook with Examples