Axia College Material
Appendix F
Buying a Home
For most people, buying a house is a great investment that can offer security in an uncertain world, but
buying a house is also a commitment.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations.
First, save this file to your hard drive by selecting
Save As
from the File
menu. Click the white space
below each question to maintain proper formatting.
1.
Imagine you are in the market for a new home and are interested in a new housing community
under construction in a different city.
a.
The sales representative informs you that there are 56 houses for sale with two floor
plans still available. Use
x
to represent floor plan one and
y
to represent floor plan two. Write an
equation that illustrates the situation.
i.
x + y = 56
b.
The sales representative later indicates that there are three times as many homes
available with the second floor plan than the first. Write an equation that illustrates this situation.
Use the same variables you used in Part a.
i.
y = 3x
c.
Use the equations from Parts a. and b. of this exercise as a system of equations. Use
substitution to determine how many of each type of floor plan is available. Describe the steps you
used to solve the problem.
i.
Using the following equations, we will use substitution to determine how
many of each type of floor plans are available.
1.
x + y = 56
2.
y = 3x
ii.
First step is solving one equation for y. Since the second equation is
already solved for y, we can skip this step.
1.
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 Spring '09
 mcmillian
 Algebra, Equations, Elementary algebra, floor plan

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