College Algebra

Also known as "High School Algebra"

OK. So what are you going to learn here?

You will learn about Numbers, Polynomials, Inequalities, Sequences and Sums, many types of Functions, and how to solve them.

You will also gain a deeper insight into Mathematics, get to practice using your new skills with lots of examples and questions, and generally improve your mind.

With your new skills you will be able to put together mathematical models so you can find good quality solutions to many tricky real world situations.

Near the end of most pages is a "Your Turn" section ... do these! You need to balance your reading with doing . Answering questions helps you sort things out in your mind. And don't guess the answer: use pen and paper and try your best before seeing the solution.

So what is this thing called Mathematics? And how do you go about learning it?

  • Welcome to Mathematics
  • Learning Mathematics
  • The Language of Mathematics
  • Symbols in Algebra

Next, we need to think about mathematics in terms of sets .

  • Introduction to Sets

Now we know what a set is, let us look at different sets of numbers that are useful:

  • The Evolution of Numbers
  • Prime and Composite Numbers
  • Fundamental Theorem of Arithmetic
  • Whole Numbers and Integers
  • Rational Numbers
  • Using Rational Numbers
  • Irrational Numbers
  • 0.999... = 1
  • Real Numbers
  • Imaginary Numbers
  • Complex Numbers
  • Multiplying Complex Numbers
  • The Complex Plane
  • Common Number Sets

Inequalities

"Equal To" is nice but not always available. Maybe we only know that something is less than, or greater than. So let's learn about in equalities.

  • Introduction to Inequalities
  • Properties of Inequalities
  • Solving Inequalities
  • Solving Inequality Word Questions

We will be using exponents a lot, so let's get to know them well.

  • Variables with Exponents
  • Using Exponents in Algebra
  • Squares and Square Roots
  • Squares and Square Roots in Algebra
  • Fractional Exponents
  • Laws of Exponents
  • Exponents of Negative Numbers

Polynomials

Polynomials were some of the first things ever studied in Algebra. They are simple, yet powerful in their ability to model real world situations.

  • What is a Polynomial?
  • Adding And Subtracting Polynomials
  • Multiplying Polynomials
  • Polynomials - Long Multiplication
  • Dividing Polynomials
  • Polynomials - Long Division
  • Degree (of an Expression)
  • Special Binomial Products
  • Difference of Two Cubes
  • Factoring in Algebra
  • Solving Polynomials
  • Roots of Polynomials: Sums and Products
  • Rational Expressions
  • Using Rational Expressions
  • Fundamental Theorem of Algebra
  • Remainder Theorem and Factor Theorem
  • General Form of a Polynomial

Graphing Polynomials

  • How Polynomials Behave
  • Polynomials: The Rule of Signs
  • Polynomials: Bounds on Zeros

And, of course, we need to know about equations ... and how to solve them.

  • Equations and Formulas
  • Solving Equations
  • Solving Word Questions
  • Zero Product Property
  • Implication and Iff
  • Theorems, Corollaries, Lemmas

Graphs can save us! They are a great way to see what is going on and can help us solve many things. But we need to be careful, as they sometimes don't give the full story.

  • Cartesian Coordinates
  • Pythagoras' Theorem
  • Distance Between 2 Points
  • Graph of an Equation
  • Finding Intercepts From an Equation
  • Symmetry in Equations
  • Linear Equations

They are just equations for lines. But they come in many forms.

  • Equation of a Straight Line
  • Point-Slope Equation of a Line
  • General Form of Equation of a Line
  • Equation of a Line from 2 Points
  • Midpoint of a Line Segment
  • Parallel and Perpendicular Lines

A function relates an input to an output. But from that simple foundation many useful things can be built.

  • What is a Function?
  • Domain, Range and Codomain
  • Evaluating Functions
  • Increasing and Decreasing Functions
  • Maxima and Minima of Functions
  • Even and Odd Functions
  • Set-Builder Notation

Common Functions Reference :

  • Square Function
  • Square Root Function
  • Cube Function
  • Reciprocal Function
  • Absolute Value Function
  • Floor and Ceiling Function
  • Function Transformations
  • Equation Grapher
  • Operations with Functions
  • Composition of Functions
  • Inverse Functions

Equations of Second Degree

"Second degree" just means the variable has an exponent of 2, like x 2 . It is the next major step after linear equations (where the exponent is 1, like x).

  • Quadratic Equations
  • Factoring Quadratics
  • Completing the Square
  • Derivation of Quadratic Formula
  • Graphing Quadratic Equations
  • Quadratic Equations in the Real World
  • Circle Equations

We already have experience in solving, but now we can learn more!

  • Mathematical Models and Mathematical Models 2
  • Approximate Solutions
  • Intermediate Value Theorem
  • Solving Radical Equations
  • Change of Variables
  • Algebra Mistakes

We learned about inequalities above, now let's learn how to solve them.

  • Graphing Linear Inequalities
  • Inequality Graphing Tool
  • Solving Quadratic Inequalities
  • Solving Rational Inequalities
  • Absolute Value in Algebra

Exponents and Logarithms

We already know about exponents ... well logarithms just go the other way. And together they can be very powerful.

  • Introduction to Logarithms
  • Exponents, Roots and Logarithms
  • Working with Exponents and Logarithms
  • Exponential Function
  • Logarithmic Function
  • Exponential Growth and Decay
  • Systems of Linear Equations

What happens when we have two or more linear equations that work together? They can often be solved! It isn't very hard but can take a lot of calculations.

  • Types of Matrix
  • How to Multiply Matrices
  • Determinant of a Matrix
  • Inverse of a Matrix:
  • Using Elementary Row Operations (Gauss-Jordan)
  • Using Minors, Cofactors and Adjugate
  • Scalar, Vector, Matrix and Vectors
  • Matrix Calculator
  • More at Matrix Index
  • Solving Systems of Linear Equations Using Matrices
  • Systems of Linear and Quadratic Equations
  • Probability

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Is it likely? You be the judge!

  • The Basic Counting Principle
  • Combinations and Permutations

Sequences, Series and Partial Sums

A Sequence is a set of things (usually numbers) that are in order. We can also sum up a series, where Sigma Notation is very useful.

  • Sequences - Finding A Rule
  • Sigma Notation
  • Partial Sums
  • Arithmetic Sequences and Sums
  • Geometric Sequences and Sums

These last few subjects use what we have learned above.

  • Partial Fractions
  • Mathematical Induction
  • Pascal's Triangle
  • Binomial Theorem

And that is all!

But there are many other interesting algebra topics such as:

  • Euler's Formula for Complex Numbers
  • Taylor Series (needs a basic understanding of derivatives )

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  • When the homework seems impossible and the textbook and your class notes aren't helping much, come to Purplemath for clarification.

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Neat homework can aid your comprehension and might make your teacher like you better. Purplemath's " Homework Guidelines for Mathematics " will give you a leg up, explaining in clear terms what your math teacher is looking for. The Guidelines link to examples of common errors, and demonstrate techniques that your instructors will love! In addition, students who get in the habit of explaining themselves clearly in their homework gain greater understanding of what they're doing, and therefore tend to do much better on their tests.

English teachers tell their students explicitly how to format their papers: what fonts, what page margins, what style guides, etc. Math teachers, on the other hand, frequently just complain amongst themselves in the faculty lounge about how messy their students' work is. Meanwhile, their students wonder why they've lost points on homework and tests.

Study these Guidelines , print out this " formatting " PDF, and improve your learning, retention, and test scores. Don't leave easy points on the table!

Go to the Guidelines!

How can I measure my study skills?

Many students, from time to time, wonder, "Do I have what it takes to succeed in math?" Much of one's success or failure in algebra can be laid at the feet of one's study habits. Do you have good math study habits? Take this survey and find out.

Go to the study-skills self-survey!

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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

  • The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
  • The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
  • The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
  • The calculus section will carry out differentiation as well as definite and indefinite integration.
  • The matrices section contains commands for the arithmetic manipulation of matrices.
  • The graphs section contains commands for plotting equations and inequalities.
  • The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

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Online Math Learning Platforms

Specialized learning platforms for  higher mathematics   and standardized test preparation .

Khan Academy

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A non-profit organisation (founded by Salman Khan) dedicated to the cause of free education for all . It provides   interactive and video-based modules on a diverse range of topics in applied mathematics.

COVERED TOPICS

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  • Linear Algebra
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  • Statistics & Probability
  • Differential Equations

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Standardized test preparation platform at an affordable cost. Equipped with  timed practice questions ,  video lessons ,  performance statistics  and  remote assistance . Available in both  desktop  and  mobile. 

COVERED STANDARDIZED TESTS

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A non-profit, ed-tech initiative founded at Rice University,  OpenStax provides free, peer-reviewed math textbooks in digital forms written by experts in the field. Printed versions of the textbooks are also available for purchase at a low cost as well.

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Founded by a math professor of Lamar University,  Paul's Online Math Notes provides a complete set of free math notes and tutorials on specific math topics, with review questions and solutions integrated in between and other handy features such as cheat sheets and tables.

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A social learning platform dedicated to gifted students in math and science, where users learn by solving interesting problems of increasing difficulties.

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A specialized, community-based wiki for mathematical proofs , housing a giant repertoire of definitions ,   axioms and theorems from all branches of mathematics. Also proved to be interesting is the random proof page on the site.

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Online Math Course Platforms

Online platforms with educational materials in higher mathematics, in the form of  integrated modules ,  eTextbooks and video courses.

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An online platform for  university courses , where one can get higher math education directly from top universities for free or for a minimal fee.

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The Great Courses

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A comprehensive platform with most of the undergraduate / graduate-level math courses offered by MIT , featuring video instructions, eTextbooks, presentation slides and other helpful materials.

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Online Math Tools

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Desmos

A powerful HTML5 online graphing calculator with minimalist interface and stunning graphic / animation capabilities. Check out our Desmos guide to learn more.

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Online graphical calculator  on steroids with calculus and statistics tools, plus other web applications for  3D graphing and the creation of geometrical figures . The favorite part? Graphs and figures created in GeoGebra can be exported to TikZ, thereby making drawing less time-consuming in LaTeX.

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Online Math Communities

Specialized platforms such as forums and question-and-answer platforms — where people gather and geek out about higher mathematics.

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One of the most popular question-and-answer site on the Web. Since its LaTeX integration in May 2015, Quora has become a hub where higher mathematics enthusiasts around the world ask and answer ultra-specific questions related to their fields of interest.

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Listen: we know homework isn’t fun, but it is a good way to reinforce the ideas and concepts you’ve learned in class. But what if you’re really struggling with your homework assignments?

If you’ve looked online for a little extra help with your take-home assignments, you’ve probably stumbled across websites claiming to provide the homework help and answers students need to succeed . But can homework help sites really make a difference? And if so, which are the best homework help websites you can use? 

Below, we answer these questions and more about homework help websites–free and paid. We’ll go over: 

  • The basics of homework help websites
  • The cost of homework help websites 
  • The five best homework websites out there 
  • The pros and cons of using these websites for homework help 
  • The line between “learning” and “cheating” when using online homework help 
  • Tips for getting the most out of a homework help website

So let’s get started! 

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The Basics About Homework Help Websites–Free and Paid

Homework help websites are designed to help you complete your homework assignments, plain and simple. 

What Makes a Homework Help Site Worth Using

Most of the best sites allow users to ask questions and then provide an answer (or multiple possible answers) and explanation in seconds. In some instances, you can even send a photo of a particular assignment or problem instead of typing the whole thing out! 

Homework help sites also offer more than just help answering homework questions. Common services provided are Q&A with experts, educational videos, lectures, practice tests and quizzes, learning modules, math solving tools, and proofreading help. Homework help sites can also provide textbook solutions (i.e. answers to problems in tons of different textbooks your school might be using), one-on-one tutoring, and peer-to-peer platforms that allow you to discuss subjects you’re learning about with your fellow students. 

And best of all, nearly all of them offer their services 24/7, including tutoring! 

What You Should Should Look Out For

When it comes to homework help, there are lots–and we mean lots –of scam sites out there willing to prey on desperate students. Before you sign up for any service, make sure you read reviews to ensure you’re working with a legitimate company. 

A word to the wise: the more a company advertises help that veers into the territory of cheating, the more likely it is to be a scam. The best homework help websites are going to help you learn the concepts you’ll need to successfully complete your homework on your own. (We’ll go over the difference between “homework help” and “cheating” a little later!) 

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You don't need a golden piggy bank to use homework help websites. Some provide low or no cost help for students like you!

How Expensive Are the Best Homework Help Websites?

First of all, just because a homework help site costs money doesn’t mean it’s a good service. Likewise, just because a homework help website is free doesn’t mean the help isn’t high quality. To find the best websites, you have to take a close look at the quality and types of information they provide! 

When it comes to paid homework help services, the prices vary pretty widely depending on the amount of services you want to subscribe to. Subscriptions can cost anywhere from $2 to $150 dollars per month, with the most expensive services offering several hours of one-on-one tutoring with a subject expert per month.

The 5 Best Homework Help Websites 

So, what is the best homework help website you can use? The answer is that it depends on what you need help with. 

The best homework help websites are the ones that are reliable and help you learn the material. They don’t just provide answers to homework questions–they actually help you learn the material. 

That’s why we’ve broken down our favorite websites into categories based on who they’re best for . For instance, the best website for people struggling with math might not work for someone who needs a little extra help with science, and vice versa. 

Keep reading to find the best homework help website for you! 

Best Free Homework Help Site: Khan Academy

  • Price: Free!
  • Best for: Practicing tough material 

Not only is Khan Academy free, but it’s full of information and can be personalized to suit your needs. When you set up your account , you choose which courses you need to study, and Khan Academy sets up a personal dashboard of instructional videos, practice exercises, and quizzes –with both correct and incorrect answer explanations–so you can learn at your own pace. 

As an added bonus, it covers more course topics than many other homework help sites, including several AP classes.

Runner Up: Brainly.com offers a free service that allows you to type in questions and get answers and explanations from experts. The downside is that you’re limited to two answers per question and have to watch ads. 

Best Paid Homework Help Site: Chegg

  • Price: $14.95 to $19.95 per month
  • Best for: 24/7 homework assistance  

This service has three main parts . The first is Chegg Study, which includes textbook solutions, Q&A with subject experts, flashcards, video explanations, a math solver, and writing help. The resources are thorough, and reviewers state that Chegg answers homework questions quickly and accurately no matter when you submit them.  

Chegg also offers textbook rentals for students who need access to textbooks outside of their classroom. Finally, Chegg offers Internship and Career Advice for students who are preparing to graduate and may need a little extra help with the transition out of high school. 

Another great feature Chegg provides is a selection of free articles geared towards helping with general life skills, like coping with stress and saving money. Chegg’s learning modules are comprehensive, and they feature solutions to the problems in tons of different textbooks in a wide variety of subjects. 

Runner Up: Bartleby offers basically the same services as Chegg for $14.99 per month. The reason it didn’t rank as the best is based on customer reviews that say user questions aren’t answered quite as quickly on this site as on Chegg. Otherwise, this is also a solid choice!

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Best Site for Math Homework Help: Photomath

  • Price: Free (or $59.99 per year for premium services) 
  • Best for: Explaining solutions to math problems

This site allows you to t ake a picture of a math problem, and instantly pulls up a step-by-step solution, as well as a detailed explanation of the concept. Photomath also includes animated videos that break down mathematical concepts to help you better understand and remember them. 

The basic service is free, but for an additional fee you can get extra study tools and learn additional strategies for solving common math problems.

Runner Up: KhanAcademy offers in-depth tutorials that cover complex math topics for free, but you won’t get the same tailored help (and answers!) that Photomath offers. 

Best Site for English Homework Help: Princeton Review Academic Tutoring

  • Price: $40 to $153 per month, depending on how many hours of tutoring you want 
  • Best for: Comprehensive and personalized reading and writing help 

While sites like Grammarly and Sparknotes help you by either proofreading what you write via an algorithm or providing book summaries, Princeton Review’s tutors provide in-depth help with vocabulary, literature, essay writing and development, proofreading, and reading comprehension. And unlike other services, you’ll have the chance to work with a real person to get help. 

The best part is that you can get on-demand English (and ESL) tutoring from experts 24/7. That means you can get help whenever you need it, even if you’re pulling an all-nighter! 

This is by far the most expensive homework site on this list, so you’ll need to really think about what you need out of a homework help website before you commit. One added benefit is that the subscription covers over 80 other subjects, including AP classes, which can make it a good value if you need lots of help!  

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Best Site for STEM Homework Help: Studypool

  • Best for: Science homework help
  • Price: Varies; you’ll pay for each question you submit

When it comes to science homework help, there aren’t a ton of great resources out there. The best of the bunch is Studypool, and while it has great reviews, there are some downsides as well. 

Let’s start with the good stuff. Studypool offers an interesting twist on the homework help formula. After you create a free account, you can submit your homework help questions, and tutors will submit bids to answer your questions. You’ll be able to select the tutor–and price point–that works for you, then you’ll pay to have your homework question answered. You can also pay a small fee to access notes, lectures, and other documents that top tutors have uploaded. 

The downside to Studypool is that the pricing is not transparent . There’s no way to plan for how much your homework help will cost, especially if you have lots of questions! Additionally, it’s not clear how tutors are selected, so you’ll need to be cautious when you choose who you’d like to answer your homework questions.  

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What Are the Pros and Cons of Using Homework Help Sites?

Homework help websites can be a great resource if you’re struggling in a subject, or even if you just want to make sure that you’re really learning and understanding topics and ideas that you’re interested in. But, there are some possible drawbacks if you don’t use these sites responsibly. 

We’ll go over the good–and the not-so-good–aspects of getting online homework help below. 

3 Pros of Using Homework Help Websites 

First, let’s take a look at the benefits. 

#1: Better Grades Beyond Homework

This is a big one! Getting outside help with your studies can improve your understanding of concepts that you’re learning, which translates into better grades when you take tests or write essays. 

Remember: homework is designed to help reinforce the concepts you learned in class. If you just get easy answers without learning the material behind the problems, you may not have the tools you need to be successful on your class exams…or even standardized tests you’ll need to take for college. 

#2: Convenience

One of the main reasons that online homework help is appealing is because it’s flexible and convenient. You don’t have to go to a specific tutoring center while they’re open or stay after school to speak with your teacher. Instead, you can access helpful resources wherever you can access the internet, whenever you need them.

This is especially true if you tend to study at off hours because of your extracurriculars, work schedule, or family obligations. Sites that offer 24/7 tutoring can give you the extra help you need if you can’t access the free resources that are available at your school. 

#3: Variety

Not everyone learns the same way. Maybe you’re more of a visual learner, but your teacher mostly does lectures. Or maybe you learn best by listening and taking notes, but you’re expected to learn something just from reading the textbook . 

One of the best things about online homework help is that it comes in a variety of forms. The best homework help sites offer resources for all types of learners, including videos, practice activities, and even one-on-one discussions with real-life experts. 

This variety can also be a good thing if you just don’t really resonate with the way a concept is being explained (looking at you, math textbooks!).

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Not so fast. There are cons to homework help websites, too. Get to know them below!

3 Cons of Using Homework Help Websites 

Now, let’s take a look at the drawbacks of online homework help. 

#1: Unreliable Info

This can be a real problem. In addition to all the really good homework help sites, there are a whole lot of disreputable or unreliable sites out there. The fact of the matter is that some homework help sites don’t necessarily hire people who are experts in the subjects they’re talking about. In those cases, you may not be getting the accurate, up-to-date, and thorough information you need.

Additionally, even the great sites may not be able to answer all of your homework questions. This is especially true if the site uses an algorithm or chatbot to help students…or if you’re enrolled in an advanced or college-level course. In these cases, working with your teacher or school-provided tutors are probably your best option. 

#2: No Clarification

This depends on the service you use, of course. But the majority of them provide free or low-cost help through pre-recorded videos. Watching videos or reading info online can definitely help you with your homework… but you can’t ask questions or get immediate feedback if you need it .

#3: Potential For Scamming 

Like we mentioned earlier, there are a lot of homework help websites out there, and lots of them are scams. The review comments we read covered everything from outdated or wrong information, to misleading claims about the help provided, to not allowing people to cancel their service after signing up. 

No matter which site you choose to use, make sure you research and read reviews before you sign up–especially if it’s a paid service! 

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When Does “Help” Become “Cheating”?

Admittedly, whether using homework help websites constitutes cheating is a bit of a grey area. For instance, is it “help” when a friend reads your essay for history class and corrects your grammar, or is it “cheating”? The truth is, not everyone agrees on when “help” crosses the line into “cheating .” When in doubt, it can be a good idea to check with your teacher to see what they think about a particular type of help you want to get. 

That said, a general rule of thumb to keep in mind is to make sure that the assignment you turn in for credit is authentically yours . It needs to demonstrate your own thoughts and your own current abilities. Remember: the point of every homework assignment is to 1) help you learn something, and 2) show what you’ve learned. 

So if a service answers questions or writes essays for you, there’s a good chance using it constitutes cheating. 

Here’s an example that might help clarify the difference for you. Brainstorming essay ideas with others or looking online for inspiration is “help” as long as you write the essay yourself. Having someone read it and give you feedback about what you need to change is also help, provided you’re the one that makes the changes later. 

But copying all or part of an essay you find online or having someone write (or rewrite) the whole thing for you would be “cheating.” The same is true for other subjects. Ultimately, if you’re not generating your own work or your own answers, it’s probably cheating.

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5 Tips for Finding the Best Homework Help Websites for You

Now that you know some of our favorite homework help websites, free and paid, you can start doing some additional research on your own to decide which services might work best for you! Here are some top tips for choosing a homework help website. 

Tip 1: Decide How You Learn Best 

Before you decide which site or sites you’re going to use for homework help, y ou should figure out what kind of learning style works for you the most. Are you a visual learner? Then choose a site that uses lots of videos to help explain concepts. If you know you learn best by actually doing tasks, choose a site that provides lots of practice exercises.

Tip 2: Determine Which Subjects You Need Help With

Just because a homework help site is good overall doesn’t mean that it’s equally good for every subject. If you only need help in math, choose a site that specializes in that area. But if history is where you’re struggling, a site that specializes in math won’t be much help. So make sure to choose a site that you know provides high-quality help in the areas you need it most. 

Tip 3: Decide How Much One-On-One Help You Need 

This is really about cost-effectiveness. If you learn well on your own by reading and watching videos, a free site like Khan Academy is a good choice. But if you need actual tutoring, or to be able to ask questions and get personalized answers from experts, a paid site that provides that kind of service may be a better option.

Tip 4: Set a Budget

If you decide you want to go with a paid homework help website, set a budget first . The prices for sites vary wildly, and the cost to use them can add up quick. 

Tip 5: Read the Reviews

Finally, it’s always a good idea to read actual reviews written by the people using these homework sites. You’ll learn the good, the bad, and the ugly of what the users’ experiences have been. This is especially true if you intend to subscribe to a paid service. You’ll want to make sure that users think it’s worth the price overall!

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What’s Next?

If you want to get good grades on your homework, it’s a good idea to learn how to tackle it strategically. Our expert tips will help you get the most out of each assignment…and boost your grades in the process.

Doing well on homework assignments is just one part of getting good grades. We’ll teach you everything you need to know about getting great grades in high school in this article.

Of course, test grades can make or break your GPA, too. Here are 17 expert tips that’ll help you get the most out of your study prep before you take an exam.

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Ashley Sufflé Robinson has a Ph.D. in 19th Century English Literature. As a content writer for PrepScholar, Ashley is passionate about giving college-bound students the in-depth information they need to get into the school of their dreams.

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The 20 Best Websites to Bookmark for Learning Math Step by Step

Struggling to understand your math lessons? Here are the best sites for various math subjects so you can learn faster and understand better!

Getting to learn math for free can seem too good to be true. But it's not. There are plenty of resources and sites that can help you learn or relearn maths from basics to advanced levels.

Your age doesn't matter. Your educational background is redundant. Whatever mathematical goals you have, you can accomplish them! Figuring how to relearn math is as simple as finding the right resources.

Choosing the Right Sites

When figuring out how to learn maths from the beginning, you need the right sites for each mathematics level. For example, one site might be great at teaching calculus but horrible at teaching algebra. Another site might focus on higher-level math and completely overlook the basics. To learn a new skill from home , you must take it one step at a time.

The well-known Khan Academy is a gold bookmark, but there are other sites out there worthy of your attention. This list promises to compile the best sites to learn math for each level so that you can learn systematically, gain a better grasp of math one level at a time, and have fun!

Starting With Arithmetic

Arithmetic shouldn't be overlooked, as there is always a new and more efficient way of looking at numbers. Math homework can be useful for everyone, regardless of their age.

The best site to learn arithmetic should include easy-to-follow instructions showing more images rather than text and letting the user practice with numbers. We've skipped any site that focuses a lot on theory and history, as it is more important to practice with numbers rather than reading about numbers.

MathABC is the best site to practice arithmetic. The site has colorful graphics, is fun and informative, but doesn't lean heavily on explanations. No matter what age or level you're at, you should give MathABC a try!

Other suggested sites include Math.com and Arithmetic Game , which provides an online speed drill.

On to Pre-Algebra

Next up is pre-algebra, a necessary math level for anyone in high school or getting ready to take the GED. Again, no matter what level or how old you are, learning math is always great practice for your brain!

Learning pre-algebra should also be fun and informative, but theory and information should start to appear at this level. Though, it is also necessary to get plenty of practice.

Math Goodies is the best site to learn pre-algebra. The site focuses on theory and information and provides educational exercises immediately following the lesson.

Other sites include Cool Math and Math Tutor DVD , which includes a nice set of online quizzes.

Up Next, Algebra 1 and 2

Algebra is a serious subject, and it is often referred to as the "gatekeeper" for all of the other levels and a prerequisite to comprehending other levels.

At this stage, it is important to get a firm grip on theory, while at the same time practicing as much as possible. You can throw graphics and pictures out the window as they might be intrusive. Clean and straight-to-the-point text is what matters.

Math Planet does a great job at presenting example math problems. It provides an instructional YouTube video at the end of every lesson for further explanation. Additionally, you can take your knowledge and put it to practice on the SAT and ACT section of the site.

You will need to download the SAT and ACT files to see if you answered correctly! IXL Learning is another great site to review and practice algebra. Check out the Algebra 1 and Algebra 2 sections.

Go With Geometry

After algebra, the next step in the right direction towards learning math can be geometry. Some say geometry, which is the study of shapes, should be taken before algebra 2, but the order is entirely up to you.

What matters at this stage is plenty of practice and a good grasp of theory. You can get both with a few sites, but the site that really stands out from the others is Math Warehouse .

The site does a great job of bringing together explanations, graphics, and explanation videos. You can even use their online calculator for better practice.

The geometry page from IXL is great. You can learn even more with MathHelp , a site that offers resources and tips to improve your test-taking skills.

Turning to Trigonometry

Generally, trigonometry follows geometry, since it deals with measuring the angles and sides of triangles. However, when you add 3-dimensional figures, it becomes more interesting. Physicists, engineers, and chemists all use it.

The best way to learn anything in math is to know how to get to an answer. The best way of doing that is to practice, and while this site has only a few examples, Dave's Short Trig Course, hosted by Clark University , does an excellent job at presenting trigonometry in easy-to-follow explanations and graphics.

Varsity Tutor provides fine practice tests for any aged learner, and Brilliant is also laid out nicely for easy clarification. Practice to your heart's content!

Concentrating on Calculus

Calculus, which is the study of change through mathematics, is best learned through a thorough understanding of theory. A great way to get this type of understanding is to see what you're learning clearly, and then to be able to put your theory to practice.

And although calculus should be broken up, between derivation and linear, for example, Free Math Help does a great job of presenting each lesson as its own.

The site offers a lot of useful information (theory, examples, and three calculus calculators), as well as an interactive problem-solver, which is useful for some problems. Everything is clearly shown and laid out on the free site. Check it out!

edX is another excellent site where you can take free classes in college-level calculus. Learnerator also provides a great number of practice questions for you to review.

Striding Toward Statistics

Statistics is a useful level of math, as it involves gathering and analyzing numbers and data. Statistics is mentioned last in this math guide because seniors usually take it in college as a final math course. Though this isn't always true, it is often the case.

Setia Budi's YouTube channel has a playlist that really does a great job at explaining stats. You don't even need to have a great mathematical background to understand what is being taught.

The videos are an average of around 25 minutes long and use graphics and examples to explain statistics. You can also learn more about statistics with Stat Trek . This comprehensive site includes a practice test and online tools such as a probability calculator .

The Best Thing About Math

Let's end with the twentieth site that goes back to the History of Math . It won't teach you any level of math, but a look at its evolution helps place everything in context.

By now your interest should have peaked. Social places like Mathematics Stack Exchange and Reddit also have strong math communities.

No matter what people tell you, math can be used in many situations in your everyday life, no matter what your level or age. You can use geometry with your DIY carpentry projects , statistics to help you understand scientific studies , algebra to help you make better tax decisions , and a culmination of all of it to just have fun with numbers !

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Mathematics

Websites that may help you:.

  • Center for Student Success – Information on tutoring, Supplemental Instruction, study skill workshops, and where to go to get more help.

Calculator Help:

  • Prentice Hall’s Calculator Help Site – Great site for getting help on the TI-83/TI-84 and the TI-89.
  • Prentice Hall’s Calculator Help Site #2 – Great site for getting help on the calculator.
  • www.ti.com/calc/

Help for Math Courses:

  • http://www.wolframalpha.com/
  • www.math.com/
  • www.sosmath.com/
  • http://webmath.com/
  • http://aaamath.com
  • www.mathgoodies.com/

General Study Help:

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  • www.mathpower.com – Ideas about dealing with Math Anxiety and gaining good Math study Skills

Math Anxiety:

  • www.mathpower.com/
  • http://mathforum.org/dr.math/index.html is the “Ask Dr. Math” home page. Try typing “math anxiety” in “#2 search the archives”.

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Your chance of acceptance, your chancing factors, extracurriculars, uw-milwaukee math department.

I'm thinking of applying to UW-Milwaukee, and I'm curious about their math department. Can anyone tell me about the quality of the professors, class sizes, and student support? Thanks in advance!

From what I've gathered, the math department at UW-Milwaukee is quite strong and offers a solid foundation for students interested in pursuing mathematics. Professors in the department are generally considered knowledgeable, approachable, and dedicated to their students' success. Like any university, you may find a mix of professor quality, so it's a good idea to check professor ratings on sites like RateMyProfessors to get an idea of your potential instructors' teaching styles and strengths, and which ones align well with your learning preferences.

Class sizes in the math department can vary, with lower-level and general education courses tending to have larger classes, sometimes even over 100 students. However, as you progress in your studies and take more advanced, specialized courses, you'll generally find that class sizes get smaller, and allow you to get more individualized attention from professors and have greater opportunities for collaboration with your peers.

Student support in the math department seems to be notable as well. UW-Milwaukee offers drop-in math tutoring, which is an excellent resource for ensuring you get the necessary help outside of class, as well as a chance to connect with your fellow math students. Additionally, the math department offers undergraduate research opportunities and encourages students to attend or even present at math conferences as a way to enhance their academic experience and prepare for graduate studies or careers in the field.

Overall, the math department at UW-Milwaukee has its strengths and many students have had positive experiences within the program. It's essential to visit the campus if possible and talk to current students and faculty in the department to get a better, firsthand sense of the environment and support available before making your decision.

Finally, if you're looking for ways to pursue your passion for math while still in high school, check out this blog post from CollegeVine, which lists a range of math-related summer programs for high schoolers: https://blog.collegevine.com/high-school-math-summer-programs/. Participating in one could even give you a boost during the college process, as admissions officers love to see that you're taking initiative and exploring your interests outside of the classroom!

About CollegeVine’s Expert FAQ

CollegeVine’s Q&A seeks to offer informed perspectives on commonly asked admissions questions. Every answer is refined and validated by our team of admissions experts to ensure it resonates with trusted knowledge in the field.

COMMENTS

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    We'll personalize an assessment and review plan tailored specifically for you. You get all the practice you need to keep that knowledge in your head — and no more — so you can get back to your life. Learn for free! Interactive online math videos, lessons, and tutoring. Algebra, geometry, trigonometry, precalculus, and calculus!

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    MathHelp.com. 4.9. Based on 246 reviews. I haven't taken a formal math class for 25+ years. I was worried about the placement test for re enrolling in college. Math help did a great job dusting off the cobwebs and taught me enough to get into the course I needed.

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    With our vast repertoire of College Algebra questions, we seek to provide you a way to sample a College Algebra practice test without the hassle of having to finding accompanying answers. Each question has been uniquely designed to offer you easy practice with College Algebra test and exam style questions.

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    QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...

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  11. College Math Placement Test Prep from MathHelp.com

    A college placement test covers the type of math you would see in Pre-Algebra, Algebra 1, and Algebra 2. The following is a more detailed list of the kind of math that's on the test. Fractions. Decimals. Ratio, Proportion, and Percent. Expressions, Equations and Inequalities.

  12. S.O.S. Math

    Monday May 06, 2024. S.O.S. MATHematics is your free resource for math review material from Algebra to Differential Equations! The perfect study site for high school, college students and adult learners. Get help to do your homework, refresh your memory, prepare for a test, .... Browse our more than 2,500 Math pages filled with short and easy ...

  13. Websites on Higher Mathematics

    Coursera. An online platform for university courses, where one can get higher math education directly from top universities for free or for a minimal fee. In fact, with ~30 math courses from statistics, discrete math, calculus, differential equation to probability theory, Galois theory, game theory and complex analysis offered by universities ...

  14. Step-by-Step Calculator

    Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step

  15. The 5 Best Homework Help Websites (Free and Paid!)

    Best Site for Math Homework Help: Photomath. Price: Free (or $59.99 per year for premium services) Best for: Explaining solutions to math problems. This site allows you to take a picture of a math problem, and instantly pulls up a step-by-step solution, as well as a detailed explanation of the concept.

  16. Symbolab

    Popular Calculators. Fractions Radical Equation Factoring Inverse Quadratic Simplify Slope Domain Antiderivatives Polynomial Equation Log Equation Cross Product Partial Derivative Implicit Derivative Tangent Complex Numbers. Symbolab: equation search and math solver - solves algebra, trigonometry and calculus problems step by step.

  17. The 20 Best Websites to Bookmark for Learning Math Step by Step

    Though, it is also necessary to get plenty of practice. Math Goodies is the best site to learn pre-algebra. The site focuses on theory and information and provides educational exercises immediately following the lesson. Other sites include Cool Math and Math Tutor DVD, which includes a nice set of online quizzes.

  18. Online calculators

    Math online step by step calculators and solvers for problems including polynomial equations, rational expressions, systems of equations, matrices, complex numbers, and analytic geometry. ... It is time to solve your math problem. mathportal.org . HW Help (paid service) Math Lessons; Math Formulas; Calculators; Math calculators and solvers ...

  19. Statistics and Probability

    Unit 7: Probability. 0/1600 Mastery points. Basic theoretical probability Probability using sample spaces Basic set operations Experimental probability. Randomness, probability, and simulation Addition rule Multiplication rule for independent events Multiplication rule for dependent events Conditional probability and independence.

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    Websites that may help you: JC Help: Center for Student Success - Information on tutoring, Supplemental Instruction, study skill workshops, and where to go to get more help. Calculator Help: Prentice Hall's Calculator Help Site - Great site for getting help on the TI-83/TI-84 and the TI-89. Prentice Hall's Calculator Help Site #2 - Great […]

  21. Sample Questions: College Mathematics

    The following College Mathematics sample questions aren't used in actual CLEP exams and aren't presented here as they will be on the test. Use them to get a sense of question format and difficulty level. Directions An online scientific calculator will be available for the questions on this test. For each of the questions below, select the BEST of the choices given.

  22. Home

    College Board provides a variety of tools and resources to help educators prepare for test day and analyze results. Assessment Reporting for K-12 Educators View and analyze student scores for the entire SAT Suite.

  23. UW-Milwaukee Math Department?

    From what I've gathered, the math department at UW-Milwaukee is quite strong and offers a solid foundation for students interested in pursuing mathematics. Professors in the department are generally considered knowledgeable, approachable, and dedicated to their students' success. Like any university, you may find a mix of professor quality, so it's a good idea to check professor ratings on ...