On your scratch paper, draw a diagram that includes the location of Castle Rock and the
dimensions of a triangle with the given number of paces. Seeing the relationship of the sides and
where the right angle is will help you know how to apply the Theorem. You may include the

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MAT221: Introduction to Algebra
Online
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diagram in your paper but are not required to do so.
Write the equation first by inserting the given binomials into the Pythagorean Theorem. Once you
have your equation written, solve it using the methods from section 5.6 of
Elementary and
Intermediate Algebra
. Show all steps and explain what you are doing as you go.
b.
Write a two- to three-page paper that is formatted in APA style and according to the Math Writing Guide.
Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the
body of your essay, do the following:
Demonstrate your solution to the above problem, making sure to include all mathematical work
and an explanation for each step.
Explain which solution to the equation is the best solution and why it is the best solution. How
many steps is the map from Castle Rock?
Incorporate the following four math vocabulary words into your writing. Use
bold
font to
emphasize these words in your writing (Do not write definitions for the words; use them
appropriately in sentences describing your math work):
o
Quadratic
o
Zero factor
o
Pythagorean Theorem
o
Compound equation
For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning
Resources tab on the left navigation toolbar, in your online course.

MAT221: Introduction to Algebra
Online
38
The
Ashford Writing Center (AWC)
has two kinds of tutoring available to you. Keep in mind that we are writing
specialists; please contact your instructor for questions about solving math problems.
Live Chat
–
If you have writing-related questions about a topic before you draft a discussion post or
submit a written assignment, you will now be able to chat live with a tutor for a short (up to 20 minute)
conversation. Live Chat will be available Monday through Friday from 10:00-11:00 am and 4:00-5:00 pm
(PST).
AWC Live Chat
Email Paper Review
–
If you have a draft, partial draft, or even if you’re having trouble getting started,
you can complete a submission form and email your paper to the AWC for review.
o
Writing Tutors will do their best to return your paper with their comments within 48 hours, not
including Saturdays and Sundays. Please plan accordingly if you would like to receive feedback
before an assignment due date.
AWC Email Paper Review
Lab
1.
Due Day 7
.
ALEKS Lab
.
For the Week Five Math Lab click on the ALEKS tab on the left navigation toolbar,
in your online course. Review the tutorial on how to use ALEKS for your lab assignment. Work in the Week Five
module by selecting topics from your “pie.” (Please Note: You may be prompted throughout the weeks to take
diagnostic assessments.