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Seventh-grade math (MATH 31 and MATH 33, or their seventh-grade equivalents)

Learning Outcomes

After you have successfully completed this course, you should be able to do the following:

  1. Solve diverse types of equations using properties of equality, the distributive property, and like terms; write equations with one variable to represent real-world situations.
  2. Write linear equations given graphs, tables, or points; find the slope and constant rate of change; and determine if a linear equation is proportional.
  3. Write equations and solve systems of equations by using graphing, substitution, elimination, and algebraic methods.
  4. Identify and represent functions; identify the type of function; construct functions in different representations, including graphs, equations, and numeric and verbal forms; identify different parts of a function and compare different functions with each other as they apply in everyday situations; and interpret functions to give them meaning.
  5. Work with exponents, their expressions, and rules of use; identify how exponents can be helpful in expressing very large or small quantities; and perform operations with numbers expressed in scientific notation.
  6. Use the number system to work with and compare rational and irrational numbers; determine the value of numbers; use rational approximations for irrational numbers; and identify the meaning and properties of roots.

Course Materials


McGraw-Hill. Glencoe Math, Your Common Core Edition. Course 3, vol. 1.1st ed. Columbus, OH: McGraw-Hill, 2013. (ISBN-13: 978-0-07-661530-8)


Texas Instruments Explorer 30 (TI-30) or other graphing calculator with similar capabilities

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Eighth-grade math is a continuation of the introduction to basic math concepts that began in the seventh-grade courses. We will study topics such as equation concepts, linear equations, systems of equations, functions, exponents, and the number system. We will also explore real-world applications of these concepts.

Several components need to be completed to help you be successful in this course. You should do the following:

  1. Complete all Self Check questions at the end of each lesson. Although these are not graded, it is essential that you practice the skills you will be learning.
  2. Complete the reviews at the end of each unit. You can consider these assignments practice quizzes that will help you to make sure you are ready to complete the unit assignment.
  3. Complete all six units and the required unit assignment for each. Unit assignments count for 60% of your course grade, so you should do your best on them.

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The comprehensive final examination consists of 50 questions from the six units.

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Your final grade will be a combination of the following:

  1. The combined average of all submitted unit assignments. (60% of your total grade)
  2. The completion of the comprehensive final examination. (40% of your total grade)

Your final grade will be determined by the following percentage breakdown:

Unit 1 Quiz 10%
Unit 2 Quiz 10%
Unit 3 Quiz 10%
Unit 4 Quiz 10%
Unit 5 Quiz 10%
Unit 6 Quiz 10%
Final Examination 40%
Grading Scale
A 93–100%
A− 90–92%
B+ 87–89%
B 83–86%
B− 80–82%
C+ 77–79%
C 73–76%
C− 70–72%
D+ 67–69%
D 63–66%
D− 60–62%
E (fail) 59% and 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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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: 6 computer-graded assignments; may be resubmitted once for a fee

Final Exam

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

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 the course. 

Getting Help

Please use the help menu in this course to contact Independent Study or your instructor. You can find a list of free tutors available to BYU Independent Study students on the Free Tutoring Services website.

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.