Free Study Guides for the

Math Basics

Sometimes, it’s just a matter of getting an explanation given in terms you understand. We hope our free Math Basics study guides will help you see math more clearly. Hopefully, you can use this knowledge to improve your school or job performance and/or you can become more confident when you have the need to “do math.”

Table of Contents

Sections of the Math Basics

Advanced Basics

Our desire in supplying this Math Basics material is to help you navigate difficulties you may be having in math competencies through the end of Algebra I. This final section covers some of the more advanced terms that are typically part of the last half of Algebra I studies. You won’t get extensive practice with them, but we hope that, by introducing them to you in an understandable form, we can ease your anxiety about working with them in school or during test preparation. Use this study guide about “Advanced” Basics, then try out some actual work with our practice questions and flashcards.

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Basic Algebra

Algebra can actually be a lot of fun, sort of like figuring out a puzzle. Take the mystery out of all of those signs and symbols and work the puzzles out! This study guide will help you become comfortable with algebra basics so you can pursue higher level Algebra or just do better on general level math tests and in algebra studies through Algebra I. For additional help, consult our Advanced Basic Math section that takes you through the last part of Algebra I.

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Data Analysis and Statistics

There are many opportunities to use basic math skills when dealing with data and statistics. There are also some additional terms and concepts you should know to prepare for tests and to just generally be able to analyze information in other studies and daily life. This guide goes over the basics of data analysis and statistics, including a peek into probability.

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Fractions, Decimals, and Percents

Math could be a lot easier if we were only working with whole numbers, like \(4\), \(22\), and \(438\), but we’re not. Many math problems throw in numbers like \(.231\), \(\frac{13}{67}\), and \(56\%\) to confuse things. Well, these “parts of numbers” don’t have to be so tough. Use this study guide to find out how to tame all of them so they don’t freak you out during math studies or keep you from being able to use math when it’s needed in daily life.

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As a math subject, it seems that people either love geometry or hate it. And we think that the people who hate geometry probably didn’t have a good introduction to the subject. That’s what we’d like to provide here: the most useful geometry basics explained in a way that you can understand and, thus, use in your mathematics studies. We don’t guarantee that you’ll suddenly love geometry, but hopefully, it won’t be as much of a mystery.

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Measurement is an important part of our world and you’ll need to know the appropriate units of measurement and what they signify in terms of weight, length, volume, and other measuring systems. Then, there’s the whole standard/metric conversion thing…that’s important, too, especially if you are going to study more math or science or medicine. Be sure you’ve mastered Numbers and Operations as well as Fractions, Decimals, and Percents before you apply your skills to measurement.

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Numbers and Operations

If you don’t know about numbers and how to use them (operations), math will be very difficult, indeed. This section goes over the basics in math with regard to numeration and performing the four basic operations with them: addition, subtraction, multiplication, and division. Be sure to master these concepts before moving on to topics like fractions and decimals.

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Word Problems

Nearly all of the math problems on today’s tests are presented in “story” or paragraph form. You are given the description of a situation, complete with numbers, and you have to both construct a “problem,” and solve it. This study guide will list and explain a process for doing this that will increase your probability of success.

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Student studying with a cup of coffee

Now that you’ve looked at the study guides, how about trying our practice questions and flashcards for each guide. We’d love to know how our materials help you, so give us a shout out on Pinterest, Facebook, Twitter, Instagram, or YouTube. Or drop us an email at