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What You Should Already Know

Before beginning this course, you should have taken MATH 054, the second semester of secondary math II, or its equivalent.

Learning Outcomes

You will be expected to demonstrate mastery of the following outcomes throughout your study in this course:

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

You should keep these eight primary outcomes in mind as you complete this or any math course. This course’s specific outcomes will help you to expand on principles you learned in previous math courses. After successful completion of the course you will be able to do the following:

  1. Apply properties of linear equations to linear inequalities.
  2. Solve problems using fundamentals of algebra and geometry.
  3. Evaluate radical expressions.
  4. Solve for unknown side lengths of right triangles using the Pythagorean Theorem.
  5. Apply properties of linear inequalities to compound inequalities.
  6. Distinguish between linear relations and linear functions.
  7. Analyze and solve special functions.
  8. Factor and solve polynomial expressions other than quadratics.
  9. Solve rational functions. Add, subtract, and simplify rational functions.
  10. Use substitution and elimination to solve systems of equations and inequalities.
  11. Add and multiply matrices. Solve matrices using appropriate identity matrices.
  12. Factor and divide monomials and polynomials.

Course Materials

There is no textbook for this course. The course content is all you will need. A graphing calculator is recommended, but not required.

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Course Organization

Each unit is broken into lessons based on learning outcomes. Each lesson has content for you to study and is followed by small, non-graded self checks that will help you determine how well you are learning the material. The self checks draw questions from huge question banks; they will be your best review and practice tool.


Unit Quizzes

Unit quizzes are assessments you will complete at the end of each unit. There are also two review quizzes covering all of the concepts from the preceding lessons. These assignments are open-book quizzes. Since this is a mastery-based, course you may take the unit quiz as many times as you want and your highest score will be recorded.

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After completing the lessons, you will take the final exam. As noted, the final exam is comprehensive—in other words, it covers all material in this course. It consists of about forty to fifty questions, very much like those in the questions in the unit quizzes.

For more information, see the Final Exam Preparation section after the last unit.

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The following tables show the grading breakdown and grading scale for this course:

Graded Event Weight Quantity Total
Unit Quizzes 6% 10 60%
Review Quizzes Midcourse 5% 1 10%
End of Course 5% 1
Final Exam 30% 1 30%
Grading Scale
A 100%–93%
A− 92%–90%
B+ 89%–87%
B 86%–83%
B− 82%–80%
C+ 79%–77%
C 76%–73%
C− 72%–70%
D+ 69%–67%
D 66%–63%
D− 62%–60%
E (fail) 59% or below

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Copyright Notice

The materials used in connection with this online course are only for the use of students enrolled in this course for purposes associated with this course and may not be retained or further disseminated. Any copying or further dissemination of these materials may be subject to applicable U.S. Copyright Laws. For questions or more information, please visit the BYU Copyright Licensing Office website.

“Members of the BYU community who willfully disregard this Copyright Policy or the BYU Copyright Guidelines place themselves individually at risk of legal action and may incur personal liability for their conduct. The unauthorized use or distribution of copyrighted material, including unauthorized peer-to-peer file sharing, may subject individuals to civil and criminal liabilities, including actual and statutory damages, costs and fees of litigation, fines, and imprisonment

Violations of the Copyright Policy may result in university disciplinary action including termination of university enrollment or employment.” (Emphasis added. Excerpt taken from the BYU Copyright Policy)

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University Policy - Title IX Statement

Preventing & Responding to Sexual Misconduct

In accordance with Title IX of the Education Amendments of 1972, Brigham Young University prohibits unlawful sex discrimination against any participant in its education programs or activities. The university also prohibits sexual harassment—including sexual violence—committed by or against students, university employees, and visitors to campus. As outlined in university policy, sexual harassment, dating violence, domestic violence, sexual assault, and stalking are considered forms of "Sexual Misconduct" prohibited by the university.

University policy requires all university employees in a teaching, managerial, or supervisory role to report all incidents of Sexual Misconduct that come to their attention in any way, including but not limited to face-to-face conversations, a written class assignment or paper, class discussion, email, text, or social media post. Incidents of Sexual Misconduct should be reported to the Title IX Coordinator at t9coordinator@byu.edu or (801) 422-8692. Reports may also be submitted through EthicsPoint at https://titleix.byu.edu/report or 1-888-238-1062 (24-hours a day).

BYU offers confidential resources for those affected by Sexual Misconduct, including the university’s Victim Advocate, as well as a number of non-confidential resources and services that may be helpful. Additional information about Title IX, the university’s Sexual Misconduct Policy, reporting requirements, and resources can be found at http://titleix.byu.edu or by contacting the university’s Title IX Coordinator.

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Accessibility Notice

BYU is committed to providing a working and learning atmosphere which reasonably accommodates persons with disabilities who are otherwise qualified to participate in BYU's programs and activities. In this spirit, BYU Independent Study aspires to improve web accessibility for users. While not required by law, the Web Content Accessibility Guidelines (WCAG) 2.0 Levels A and AA provide a wide range of helpful recommendations to make Web content more accessible. BYU Independent Study strives to apply WCAG 2.0 recommendations where feasible, but may deviate from any recommendations that would result in an undue hardship to BYU Independent Study or alterations to program and course content and objectives. If you have questions about accessibility, or if you need to report problems with any accessibility features please see our Accessibilities and Accommodations Web Page.

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Course Policies

These policies are specific to this course. For additional information about general policies, please refer to Independent Study Course Policies page.


Summary: 10 computer-graded unit quizzes, 2 computer-graded review quizzes

Self checks, unit quizzes and review quizzes may be resubmitted as many times as you would like.

Final Exam

Summary: 1 proctored, computer-graded exam, may retake once for a fee, must pass to earn credit for the course

You must pass with a score of sixty percent or higher in order to pass and earn credit for this course. There is no time limit on the exam. It is a closed-book exam, but you will be allowed to bring a page of hand-written notes. This page should be an 8½" × 11" (or A4) size, and you may only write on one side. You may use a scientific or graphing calculator on the exam.

Course Duration

You have 1 year to complete this course. You may purchase one 3-month extension if you need more than a year to complete this course. Because of the nature of some assignments, you will not be able to complete this course in less than 2 months.

Inappropriate Use of Course Content

All course materials (e.g., outlines, handouts, syllabi, exams, quizzes, media, lecture content, audio and video recordings, etc.) are proprietary. Students are prohibited from posting or selling any such course materials without the express written permission of BYU Independent Study. To do so is a violation of the Brigham Young University Honor Code.

A Note About Plagiarism

Plagiarism is a form of cheating. It is taking someone else’s work and claiming it as your own. To simply copy and paste ideas, words or stories from the internet is stealing. This will NOT be tolerated at BYU Independent Study. If you plagiarize, you will receive a failing grade on the assignment and you might not be given the opportunity to resubmit your work. If you plagiarize twice you will automatically fail the course.