Algebra II
Notes 1.5 Problem Solving Using Algebraic Models
Problem Solving Plan
1.) Create a verbal model (an equation in words) before you try to solve.
2.) Translate the verbal model into an algebraic model (an algebraic equation).
a.) Write a verbal model
b.) Assign labels
c.) Write an algebraic model
d.) Solve the algebraic model
e.) Answer the question
EX: On August 15, 1995, the Concorde flew 35,035 miles from NYC to NYC in 31 hours 27 min.
What was the average speed?
a.) Verbal Model: Rate x Time = Distance We need to find the rate.
b.) t = time 31 hr 27 min. = 31
27
hours = 31.45 hr
60
d = distance = 35,035 miles
c.) r ⋅ t = d
d
r=
t
d.)
EX: You have a rectangular pen that needs to be enclosed with 72 ft of fencing. What should the
dimensions be in order to have the length be 6 ft longer than the width and use all of the fencing?
Assign p. 37 #8 – 14, 18, 23