SAT / ACT Prep Online Guides and Tips

Need to study for the SAT Math section but don't know where to start? On a budget, too? Not to worry! In this article, we've put together a comprehensive list of all the best (and free!) SAT Math study materials and guides currently available online.

Note: For info on the best SAT study materials you have to pay for, check out our picks for top SAT prep books.

Reading is a skill many people take for granted, but the act of reading and properly comprehending a text is a complex and interactive process. It requires several different brain functions to work together and most often requires one to puzzle through multiple layers of context and meaning.

Because reading comprehension is so complicated, we can often find ourselves understanding the most basic interpretation of a text, but missing the emotional core or the "big picture." Or we might just find our brains spinning with no clue at all as to what a text is attempting to convey.

But luckily for everyone who struggles in English classes, on standardized tests, or in daily life, reading comprehension can be improved upon (and it's never too late to start!). In this guide, I explain step-by-step how to improve reading comprehension over time and offer tips for boosting your understanding as you read.

Studying is about finding a right balance between concentration, understanding, retention, and rest. And, just like any task that taxes your energy—be it physical or mental—it is often just as difficult to get started as it is to engage in the task itself.

But don't despair! Whether you need to study for just one test, or want to learn how to study over the long haul and retain a whole term's worth of information, we've got you covered. We'll explain exactly how to study better, helping you revamp both your daily and long-term study habits and giving you the best study tips for managing your time and keeping your focus as you actually study.

And, once you've mastered these study techniques, we'll also show you how to prepare yourself for test day so you can do your very best when the chips are down. So let's get to it!

Online high schools can be a way for students to take high school classes and graduate at their own pace, without having to adhere to strict schedules and the distractions of a traditional school. So if you feel that an in-person school isn't right for you for whatever reason, an online school might be the perfect fit. 

In this article, we'll give you a list of all the (tuition free!) online high schools available in each U.S. state. We'll also explain how online high schools work and why an online high school could be right for you. 

So let's get started! 

It's entirely possible to train for the SAT Math section. The more you understand how it works, the better you'll perform on test day. Here, we'll give you absolutely everything you'll need to know to master SAT Math.

If you're a non-English speaker looking to work or study in an English-speaking country, then you'll likely have to take the test of a foreign language (TOEFL). And if you're confused about how and when to take the test, then have no fear.

We'll walk you through both how to decide between TOEFL test dates and how to make a study schedule. Let's get started!

You'll no doubt have to write a number of argumentative essays in both high school and college, but what, exactly, is an argumentative essay and how do you write the best one possible? Let's take a look.

A great argumentative essay always combines the same basic elements: approaching an argument from a rational perspective, researching sources, supporting your claims using facts rather than opinion, and articulating your reasoning into the most cogent and reasoned points. Argumentative essays are great building blocks for all sorts of research and rhetoric, so your teachers will expect you to master the technique before long.

But if this sounds daunting, never fear! We'll show how an argumentative essay differs from other kinds of papers, how to research and write them, how to pick an argumentative essay topic, and where to find example essays. So let's get started.

"Let $x$ and $y$ be integers such that ..."

"If $y$ is a positive integer, what is ... ?"

If you've taken the ACT or an ACT practice test, these types of math questions might look familiar to you. You've likely come across several questions on the ACT that mention the word "integer." And if you don't know what this term means, these problems will be difficult to solve.

Questions involving integers are common on ACT Math, so it's important to have a solid grasp of them as you prepare for the test. What are integers and how do they fit into the larger ACT Math picture?

This article will be your guide to basic integers for the ACT, going over what they are, how they change, and how you'll see them used on the test. For the more advanced integer concepts, including absolute values, exponents, roots, and more, refer to our advanced guide to ACT integers.

Want to test yourself against the most difficult SAT math questions? Want to know what makes these questions so difficult and how best to solve them? If you're ready to really sink your teeth into the SAT math section and have your sights set on that perfect score, then this is the guide for you.

We've put together what we believe to be the 15 most difficult questions for the current SAT, with strategies and answer explanations for each. These are all hard SAT Math questions from College Board SAT practice tests, which means understanding them is one of the best ways to study for those of you aiming for perfection.

Whether you're on a budget or just want to see what kinds of ACT Math study materials you can access for free, you've come to the right place. Though the internet is chock-full of ACT resources of dubious quality, we've collected and put together only the highest quality free ACT Math study material available.

So let's jump right in!

Note: For guides and reviews of the best for-pay ACT study, check out our list of ACT study links, which includes all official practice tests, and our top picks for ACT prep books.

Acute, obtuse, isosceles, equilateral…When it comes to triangles, there are many different varieties, but only a choice few that are "special." These special triangles have sides and angles which are consistent and predictable and can be used to shortcut your way through your geometry or trigonometry problems. And a 30-60-90 triangle—pronounced "thirty sixty ninety"—happens to be a very special type of triangle indeed.

In this guide, we'll walk you through what a 30-60-90 triangle is, why it works, and when (and how) to use your knowledge of it. So let's get to it!

The SAT math test is unlike any math test you've taken before. It's designed to take concepts you're used to and make you apply them in new (and often strange) ways. It's tricky, but with attention to detail and knowledge of the basic formulas and concepts covered by the test, you can improve your score.

So what formulas do you need to have memorized for the SAT math section before the day of the test? In this complete guide, I'll cover every critical formula you MUST know before you sit down for the test. I'll also explain them in case you need to jog your memory about how a formula works. If you understand every formula in this list, you'll save yourself valuable time on the test and probably get a few extra questions correct.

What is the probability that you’ll toss a coin and get heads? What about twice in a row? Three times? Probability questions ask you determine the likelihood that an event or any number of events is to occur, and the more you practice, the better your odds will be at mastering these types of questions on the ACT (see what we did there?).

This will be your complete guide to probability on the ACT—how probability works, the different types of probability questions you’ll see on the test, and the steps you’ll need to take to solve them.

Triangle questions account for less than 10% of all SAT math questions. That being said, you still want to get those questions right, so you should be prepared to know every kind of triangle: right triangles, isosceles triangles, isosceles right triangles—the SAT could test you on any one of them. Since triangle problems only account for a small percent of the SAT math questions, you shouldn’t spend all of your study time on triangles.

Functions. Just hearing the word is enough to send some students running for the hills. But never fear! Though function problems are considered some of the more challenging questions on the ACT, this is only due to the fact that most of you will be far more used to dealing with other math topics (like fractions, exponents, or circles) than you are functions.

On the ACT, question difficulty is categorized by how familiar you are likely to be with any given question, and the only way to combat this challenge is to practice and get used to dealing with questions that are a little less familiar to you. You will generally see 3-4 function questions on any given ACT, so for those of you who are not yet comfortable with functions (or just want a tune up), this guide is for you.

This will be your complete guide to ACT functions. We'll walk you through exactly what functions mean, how to use, manipulate, and identify them, and exactly what kind of function problems you'll see on the ACT.