Understanding the Concepts in the Math Practice Test
Introduction
This site provides lessons with videos, example problems, and practice problems to help you understand the concepts presented in the Math Practice Test. Each video runs five to twelve minutes; most average ten minutes.
It is important for you to understand what the concepts mean and how to use them. Your coursework will provide the context and show you how they are applied in problem solving, strategic thinking, and decision making.
We suggest that you print a copy of the Math Practice Test and Answer Key to help you review the materials. The content below is organized to correspond to the Math Practice Test's six sections.
Additional content will be added as the site evolves, so please check back for updates.
Getting Help
- For academic help, please contact your adviser.
- For help with your coursework, please contact your instructor.
- For help with this S3C site, please email the Site Coordinator.
- For technical help, please call UST's Tech Desk at
651-962-6230, send an email to the Tech Desk, or visit the Tech Desk site at Information Resources and Technologies.
- For help viewing or listening to videos, or downloading plug-ins, Click Plug-ins and Video Tips. To display materials you will need Adobe's free Acrobat Reader and the RealNetworks® free audio and video player (currently RealOne™). These materials have been tested on the latest Internet Explorer browser and the PC. Some materials will not play on a Mac.
Getting More Quantitative Materials
If you would like to review additional quantitative materials, including videos on how to install and use quantitative software, please visit S3C's Video Library and Software section.
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These lessons review the concepts needed to understand Problems 1 - 15 in the Arithmetic section of the Math Practice Test.
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For each concept,
- Study the Concept Review.
- Read through the Practice Problems.
- Play the Video(s)) to understand the concept and learn how to do the Practice Problems.
- Do the Practice Problems.
Return to the Introduction
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These lessons review the concepts needed to understand Problems 1 - 25 in the Algebra section of the Math Practice Test.
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For each concept,
- Study the Concept Review.
- Read through the Practice Problems.
- Play the Video(s) to understand the concept and learn how to do the Practice Problems.
- Do the Practice Problems.
Using Algebra Factoring Rules: Rules 1 & 2
Concept Review, Practice Problems, & Video
Using Algebra Factoring Rules: Rule 3
Concept Review, Practice Problems, & Video
Using the Foil Method
(Multiplying Monomials and Binomials)
Concept Review, Practice Problems, & Video
Using Function Notation
Concept Review, Practice Problems, & Video
Solving for x
Concept Review, Practice Problems, & Video
Solving for Unknowns
Concept Review, Practice Problems, & Video
Return to the Introduction
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These lessons review the basic quantitative concepts needed to understand the Statistics and Probability section of the Math Practice Test.
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To understand Problems 1, 2, and 3, study these materials:
To understand Problems 4 and 5, study these materials:
To understand Problem 6, study these materials:
Factorials and Counting
Video (to be added)
Example/Practice Problems (to be added)
To understand Problem 7, study these materials:
To understand Problems 8 - 11, study these materials:
Return to the Introduction
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These lessons review the basic quantitative concepts needed to understand the Word Problems section of the Math Practice Test.
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To understand Problems 1, 2, 5, 6, and 7, study these materials:
To understand Problem 3, study these materials:
Unit Conversion (Currency Conversion)
Video
Example/Practice Problems (to be added)
To understand Problem 4, study these materials:
Return to the Introduction
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These lessons review the basic quantitative concepts needed to understand the Economics section of the Math Practice Test.
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To understand Problems 1 - 3, study these materials:
Return to the Introduction
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These lessons review the basic quantitative concepts needed to understand the Finance section of the Math Practice Test.
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To understand Problems 1 - 7, study these materials:
Notations
Superscripts (t vs. n): Some disciplines use the superscript t to indicate time (number of years, months, and so on); other disciplines use the superscript n. The videos in this section use both references interchangeably.
Subscripts: An and an mean two different things. With
An, you should sum (add) the first n terms. For A3, you would add the first 3 terms in a sequence of terms. With an, you should find the nth term. For a3, you would find the 3rd term in a sequence of terms.
For example, given the sequence, 7, 12, 17, 22,
A3 = 7 + 12 + 17 = 36
a3 = 17
Models: Additive & Multiplicative
Simple Interest
Compound Interest
We are in the process of correcting the lead in video, Power of Compounding. An error appears at approximately 4:40. In the table of numbers presented, for 30 years, the value of the account should be $300,000; for 40 years, the value of the account should be $930,000. The values of the changes should be adjusted accordingly.
Power of Compounding, Introduction
Power of Compounding, Interest Rate
Power of Compounding, Graphing
Visualizing Compounding, Part I
Visualizing Compounding, Part II
Continuous Compounding, Part I
Continuous Compounding, Part II
Average Rate of Return
Nominal & Effective Interest Rates
Present Value
Annuity Formula
Capital Recovery Factor
More Models
Return to the Introduction
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Algebra