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## Algebra Help

In this chapter, we will be discussing Algebra. Algebra is the branch of mathematics that uses symbols to represent numerical values or members of a set of numbers. This representation is called an algebraic expression. Algebra is a powerful tool for solving mathematical problems.

- Polynomials
- Factoring Polynomials
- Division of Polynomials
- Solving Equations
- Solving Inequalities
- Solving Quadratics
- Complex Numbers
- Graphing Quadratics (Parabolas)
- Systems of Equations (2x2s)
- Systems of Equations (3x3s)
- Determinants and Cramer's Rule
- Inverse Functions
- Exponentials and Logarithms
- Absolute Value Equations and Inequalities
- Sequences and Series
- Combinatorics
- Advanced Graphing
- Graphing Polynomials
- Graphing Rational Functions
- Conic Sections

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- Number Theory
- Probability
- Everyday Math
- Classical Mechanics
- Electricity and Magnetism
- Computer Science
- Quantitative Finance

Take a guided, problem-solving based approach to learning Algebra. These compilations provide unique perspectives and applications you won't find anywhere else.

## Algebra through Puzzles

What's inside.

- Introduction
- Simplifying Shortcuts
- Arithmetic Logic and Magic
- Balancing Scales
- Rates and Ratios
- Equations and Unknowns
- Manipulating Exponents
- Algebra in Motion
- Common Misconceptions
- Function Fundamentals
- Transformations
- Powers and Radicals
- Polynomials
- Factoring Polynomials

## Rational Functions

Piecewise functions, community wiki.

Browse through thousands of Algebra wikis written by our community of experts.

## Expressions and Variables

- What Makes A Good Problem?
- Simplifying Expressions
- Distributive Property
- Zero Product Property
- Contest Math I
- Solving Equations
- Setting Up Equations
- Simple Equations
- Verifying Solutions
- Multi-step Equations
- Isolating a Variable
- Balance Puzzles
- System of Linear Equations (Simultaneous Equations)
- How are exponent towers evaluated?
- Does a square root have two values?
- Do Square Roots Always Multiply?
- Is 0.999... = 1?
- What is 0 to the power of 0?
- If AB=AC, does B=C?
- Is (a/b)/c = a/(b/c)?
- Does \(\sqrt{x^2+y^2}=x+y?\)
- Does cross multiply always work for inequalities?
- How does addition in the denominator work?
- List of Common Misconceptions
- Linear Equations
- Forms of Linear Equations
- Equations of Parallel and Perpendicular Lines

## Systems of Linear Equations

- Solving Linear Systems Using Matrices
- Absolute Value
- Absolute Value Equations
- Absolute Value Inequalities
- Linear Inequalities
- Absolute Value Linear Inequalities
- System of Inequalities
- Linear Programming

## Non-Linear Inequalities

- Polynomial Inequalities
- Classical Inequalities
- Absolute Value Inequalities - 1 Quadratic Term
- Exponential Inequalities
- Logarithmic Inequalities

## Quadratic Equations (Parabolas)

- Factoring Quadratics
- Quadratic Equations
- Completing The Square
- Applications of Completing the Square
- Quadratic Discriminant

## Square Roots (Radicals)

- Simplifying Radicals
- Radical Equations
- Square Roots
- Rationalizing Denominators

## Arithmetic and Geometric Progressions

- Arithmetic Progressions
- Arithmetic Mean
- Harmonic Progression
- Harmonic Mean
- Geometric Progressions
- Geometric Mean
- Arithmetic and Geometric Progressions Problem Solving
- Arithmetic-Geometric Progression
- Evaluating Functions
- Function Composition
- Inverse Functions
- Function Terminology
- Graphs of Functions
- Transforming Graphs of Functions
- Functional Equations
- Multiplying Polynomials
- Polynomial Division
- Synthetic Division
- Solving Identity Equations
- Difference Of Squares
- Applying the Perfect Square Identity
- Applying the Perfect Cube Identity
- Factoring by Substitution
- Rational Expressions
- Simplifying Rational Expressions
- Factoring Compound Quadratics: \(\, ax^4 + bx^2 + c\)
- Factoring Cubic Polynomials
- Descartes' Rule of Signs
- Fundamental Theorem of Algebra
- Method of Undetermined Coefficients
- Remainder Factor Theorem
- Transforming Roots of Polynomials
- Intercepts of Rational Functions
- Rational Equations
- Graphing Rational Equations
- Partial Fractions - Linear Factors
- Partial Fractions - Cover Up Rule
- Partial Fractions - Irreducible Quadratics
- Partial Fractions - Repeated Factors
- Telescoping Series - Sum
- Floor Function
- Ceiling Function
- Trailing Number of Zeros
- Fractional Part Function
- Hermite's Identity
- Rules of Exponents
- Simplifying Exponents

## Exponential Functions

- Rules of Exponents - Algebraic
- Solving Exponential Equations
- Graphs of Exponential Functions
- Exponential Functions - Problem Solving
- Interest Rate
- Leonhard Euler
- Solving Logarithmic Equations
- Polar Coordinates
- Converting Polar Coordinates to Cartesian
- Parametric Equations
- Complex Numbers
- Complex Conjugates
- Complex Numbers - Absolute Values
- Complex Plane
- Complex Numbers in Geometry
- Gaussian Integers
- Discrete Fourier Transform
- Euler's Formula
- De Moivre's Theorem
- Roots of Unity

## Advanced Linear Algebra (Matrices)

- Linear Algebra
- Determinants
- Eigenvalues and Eigenvectors
- Kernel (Nullspace)
- Vector Space
- Cayley-Hamilton Theorem
- Row And Column Spaces
- Spectral Theorem
- Fundamental Subspaces
- Change of Basis
- Rank-Nullity Theorem
- Linear Transformations
- Linear Independence
- Jordan Canonical Form
- Affine transformations
- Vieta Root Jumping

## Advanced Polynomials

- Algebraic Manipulation
- Algebraic Manipulation Identities
- Sum of n, n², or n³
- Telescoping Series - Product
- Nested Functions
- Cardano's Method
- Cubic Discriminant
- Gauss: The Prince of Mathematics
- Srinivasa Ramanujan
- Binomial Coefficient
- Pascal's Triangle
- Binomial Theorem
- Negative Binomial Theorem
- Fractional Binomial Theorem
- Rational Root Theorem
- Vieta's Formula
- Newton's Identities
- Completing the Square - Multiple Variables
- Algebraic Identities
- Factorization of Polynomials
- Sophie Germain Identity
- Algebraic Number Theory
- Fermat's Last Theorem
- Eisenstein's Irreducibility Criterion
- Group Theory
- Lagrange's Theorem
- Schwartz-Zippel Lemma
- Polynomial Interpolation by Remainder Factor Theorem
- Lagrange Interpolation
- Method of Differences
- Primitive Roots of Unity
- Symmetric Polynomials
- The \(uvw\) Method
- Chebyshev Polynomials - Definition and Properties

## Advanced Inequalities

- Cauchy-Schwarz Inequality
- Titu's Lemma
- Rearrangement Inequality
- Chebyshev's Inequality
- Jensen's Inequality
- Hölder's Inequality
- Young's Inequality
- Muirhead Inequality
- Reverse Rearrangement Inequality
- Arithmetic Mean - Geometric Mean
- Applying the Arithmetic Mean Geometric Mean Inequality
- Power Mean Inequality (QAGH)
- Quadratic Mean
- Triangle Inequality
- AIME Math Contest Preparation
- JEE Exam Preparation
- RMO Math Contest Preparation
- INMO Math Contest Preparation
- KVPY Exam Preparation
- BITSAT Exam Preparation

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## FREE Algebra 1 Practice Tests

All algebra 1 resources, free algebra 1 diagnostic tests, algebra 1 diagnostic test 1, algebra 1 diagnostic test 2, algebra 1 diagnostic test 3, algebra 1 diagnostic test 4, algebra 1 diagnostic test 5, algebra 1 diagnostic test 6, algebra 1 diagnostic test 7, algebra 1 diagnostic test 8, algebra 1 diagnostic test 9, algebra 1 diagnostic test 10.

Algebra I is a course designed to give students a firm understanding of mathematical equations that involve variables, as well as to teach them the basics of graphing and manipulating simple functions. Students typically take Algebra I around eighth or ninth grade, though some may take the class earlier or later, after they have had a course in Pre-Algebra, but before attempting such topics as Algebra II, Geometry, or more difficult math classes. By establishing solid footing in Algebra I, students can prepare themselves for success in later math and science courses, all of which assume knowledge of algebraic concepts. Whether you need top Algebra 1 tutors in Boston , Algebra 1 tutors in Detroit , or top Algebra 1 tutors in Dallas Fort Worth , working with a pro may take your studies to the next level. 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Algebra has a reputation for being difficult, but Math Games makes struggling with it a thing of the past. Kids can use our free, exciting games to play and compete with their friends as they progress in this subject!

Algebra concepts that pupils can work on here include:

- Solving and writing variable equations to find answers to real-world problems
- Writing, simplifying and evaluating variable expressions to figure out patterns and rules
- Solving linear equations and inequalities
- Finding the slopes of graphs, and graphing proportional relationships and equations
- Completing and writing rules for function tables

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## 13 Websites To Learn Algebra Lessons Online (Free And Paid)

Learn Algebra Lessons Online

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Mathematics is a subject that is being taught in almost every part of the world. It might have started with counting the sheep, or keeping track of the days by our ancestors. Yet, it has grown into a scientific subject that is making complex calculations a lot easier.

Algebra is a branch of mathematics that deals with symbols and the rules with using these symbols to perform some of the most complex calculations easily.

Not only that, without Algebra, the mathematics had a limited scope to finite numbers as there were no way for us to go beyond a certain set of numbers that we can carry on the paper, or boards.However, Algebra has made possible to calculate beyond our imaginations and up to infinity.

The origin of Algebra can be traced back to Greek or Latin at the peak of their civilization as these symbols used for algebra known as variables can be found in Greek and Latin literature. There are also alphabets known as variables used with algebra that do not have a fixed value and can represent a value that you might want them to be.

Algebra is considered a vital part of modern-day education if you are looking to understand how things work, and move with any discipline of science or mathematics. It is being taught from elementary level to specialized degrees across the world.

If you are at any such point of life that requires you to learn algebra efficiently, and you are unable to find the time to join some actual classes, or you might want to improve your academic performance by working at home on the subject, you can take assistance from these online learning websites:

## 13 Websites To Learn Algebra Lessons Online Review

If you are a picky guy when it comes to online learning, then this might be just the place for you to pursue your online learning journey. This website got a library so huge that it almost covers every imaginable niche of online courses featured on their website.

The easy sign-up process and lifetime access to the course materials make it one of the top choices when it comes to online learning for students. Their prices are also minimal and they are worth each penny that you might have to pay for your learning experience on the website.

There are thousands of online courses on Algebra listed on the website. One of the main reasons for such vast library on a particular topic is the broad scope of Algebra. Algebra starts with middle-school and it has such advanced skill levels that universities and colleges are offering specializations in the subject.

But no matter what level you might be at, or what your goals might be to learn Algebra, you can find an appropriate course for yourself on this highly dynamic website.

You can find courses that range from beginner to advanced levels for academic purposes. You can also get access to numerous courses that are designed specifically for individuals that are working in the field out there.

2) Coursera

Coursera is the name of trust, authenticity and quality education in the world of online learning. The website has a lot to offer that makes them one of the top choices if you are looking for online education on any subject.

What signifies this website is their guided projects that can help you learn under the guidance of experts so you can have an optimal learning experience. Not only that, you can also get enrolled with their online degree programs that will grant you accredited degrees and certifications while studying from your home.

The website got several online courses, guided projects and degree programs on Algebra that can help you not only grow your skillset, and knowledge but also have an accredited degree that will help you with your professional career.

This website also has separate portal for Enterprise that will enable companies to provide their employees with the right chance of growth as they can learn while they are working and grow professionally. These courses on website are designed keeping strict quality standards in mind and you can rely on the website if you are looking for quality online education.

3) LinkedIn Learning

LinkedIn learning is a rapidly growing platform as it is considered the social media for corporates. It provides you with a unique opportunity to grow your career professionally as you get the chance to build your professional profile online and contact with the right people and organizations worldwide.

They believe in cutting the geographical boundaries for everyone and making it possible for all to get the right opportunity they deserve based on their abilities and skillset. They are offering a dedicated section that is all about learning online. This section features a wide range off courses on employable skills and other courses that will add value to your career.

These courses are catering the needs of most students who wish to learn online, as they cover the gap that you need to get the next dream job of yours.You can find numerous courses on Algebra that are focused on solving equations and getting you acquainted with the subject.

This website not only covers the basic but also enable you to learn and understand all possible utilities of the knowledge. You can find courses on linear algebra for coding, for teaching, data science and all the most major skills that are in demand these days on this website.

Lynda.com is a platform powered by LinkedIn we all know the name LinkedIn and the authenticity it holds. However, Lynda.com is taking online learning to a whole new height as they are offering some highly employable skills all under one subscription.

All you have to do is sign-up for a free and get access to a one month trial period that will enable you tl access all the content on website along with the courses and other resources.After that, if you find the website helpful, you can continue with the subscription and learn from the experts firsthand.

They got some super cool courses on algebra that not only focus on the fundamentals but also cover a wide range of applications in the practical field. You can learn all the skills and knowledge you want to have that you might require to land your next job or being able to do your job efficiently on this website conveniently.

This might be the wisest investment for you if you are looking to grow professionally in your career.

edX is another highly popular online educational platform that allows you to get the same level of quality learning that you can expect from any well-reputed institution. Their curriculum and courses are designed by experienced professionals who have spent extensive periods in the field working and teaching.

They have partnered with numerous schools, colleges and universities that allow them to have their curriculum available for the students to learn online from and get the degrees from these partnered institutions.

This is simply the best way for you if you want to pursue your educational career and find it hard to do due to limitations of time or having stress of work.The website got thousands of courses on Algebra listed online that range from beginner to advanced levels.

These courses are designed specifically for every level of students. No matter what your age group, academic background, or professional skillset is, if you are looking to get a course on Algebra online, this is the website for you to look at. They are offering online courses, degree programs on algebra and much more.

Preply started off as a website that can help students learn the subjects they lack at online. It was probably one of the very first online learning platforms. They are devoted to help all the students prepare for their weaker subjects online so they can perform optimally in the class.

The website presents you with the right opportunity to spend your time at home wisely and use it to get all the knowledge and skills you might need on any subject that you might be weak at. You can get extra help, or prepare for an exam effectively with the help of content and courses listed on this website.

Mathematics and specially Algebra is not the most favorite subject of all students and many find it boring and dull. It is often hard to pay attention in class, but during your exams you might find yourself in a fix.

Preply comes to action here as it presents you with the right opportunity to gain all the knowledge and guidance you might need to get an A grade on your next Algebra test. If you are really willing to learn Algebra, this is the right place for you as its got all the necessary resources.

7) SkillShare

This website is anything like those ordinary websites you see over the internet claiming to provide quality learning. This website is all about making things better for you and provide you with an online learning experience that is out of the world.

There are numerous things about this website that make it one of the best websites out there, but to top it all is the unique subscription that charges you monthly and you can have access to all the content that is listed on this website. That means, you don’t have to pay for each course.

This way, you can learn from basic to advanced levels without having to buy different courses, or switch between the courses conveniently.There are several complete courses on Algebra listed on the website that pretty much cover every level of students out there.

You might be looking to get some help with your algebra homework, trying to ace the next test you are going to take or simply improve your skills at the subject. There is a course for you on this website no matter what your goals are and you can access it anytime you like. They are also offering a 2-months trial period for the premium membership that is unbeatable.

This website is all about traditional studies brought online. If you are wondering how is that possible, imagine taking a class but the teacher is not present there and is broadcasting from their home. All the students are also logged in from their own stations and participating in the class. That is just one example of their services.

The website has hundreds of well-reputed institutions partnered that can help you learn any subject you want online.The website offers you with the liberty to select study plans, get enrolled with the classes or take online courses to learn the subject of your choice.

There are also some online degree programs available on the website that follow the curriculum of that particular body that is going to offer the degree for you. Not only that, you can also study online to get credit score if you are enrolled with any of their partnered institutions.

They are covering a wide range of algebra courses for all including algebra for kids, for working individuals or high-school students. You can be assured that with this website, you will quickly learn all the skills and knowledge required to handle algebra easily.

9) LessonFace

Lessonface.com is an interactive website with a highly dynamic method of teaching online. They serve you by providing you an opportunity to waive off those boring pre-recorded lectures and learn from experienced tutors directly with one-on-one sessions.

This way, you can cut all those basic concepts that you might already are well acquainted with and get help directly where it counts the most. The website has an interactive and easy to use interface that allows you to filter out the right instructors that will fit your needs easily.

You can choose these instructors with pricing that matches your budget, availability according to your schedule and language you are comfortable with.You get to pay for the time you spend learning, so it will make your each penny worth as it will be spent on the online learning and not otherwise.

There are several experienced algebra tutors listed on the website that are ready to help you with your homework, your work assignment, or guide you to prepare for your next test.

10) TakeLessons

There are hundreds of websites that claim to provide quality online education but they all have a fundamental flaw with their teaching method. Those pre-recorded courses are designed to cover a wide range of student and carry a complete set of information that might be unnecessary or unimportant for you.

Also, you don’t get the chance to ask questions, or have any doubts cleared that might be popping up in your mind.Well, you don’t need to worry no more if you are looking for interactive online learning as TakeLessons is covering the need for online one-on-one sessions.

These personalized sessions can help you learn from the right experts and start from where you need. You get focused guidance and undivert attention from these experienced teachers that can help you get out of any tight corners that you might be facing with your Algebra assignments.

You can also get assistance on your tests, ask them for help with your homework, or simple learn how to grow your skills in Algebra considerably. You can access numerous trainers on this website that are ready to help you with any problems you might have related algebra.

You can find several websites over the internet with tons of courses claiming to be helpful, well some of them are a help for some people but it cannot be said for all the websites out there are doing a good job, and have the content required for online learning.

Reed.co.uk is covering that flaw with their exceptional online educational services that are top-notch in every term. Their information delivery techniques, teaching methods, the content on the website and course structure, all are worth the time and money you might be spending for your online learning experience.

Not only that, this website follows high quality standards for curriculum that you can expect from any online websites.There are several online courses on Algebra listed on the website that start from beginner level from school to highly advanced professional courses.

The best part about this website is that they offer certifications and do not charge you anything extra for it. You can get a chance to learn online and also earn CPD certifications with this interactive website. Each course has an elaborative Overview of the course content, a detailed FAQ section and pre-requisites mentioned on the course page.

You can also read reviews on the website by other students to find out if the course will suit your needs and is the right choice for the goals you might have set for your online Algebra learning.

12) KhanAcademy

Khanacademy is a free online portal that has millions of courses listed online. The course is funded by different philanthropic organizations as a part of their struggle towards making education possible for all. The main focus of this website is making online education possible for all those unprivileged students in the remotely located areas that have the urge to learn and the website is run on donations.

That certainly does not compromise the quality levels of education offered by the website and you can see a huge difference between some other websites and this one when it comes to quality of the content.

There are numerous courses on Algebra listed on the website that match the levels of any online learning platform. You can use these courses to learn the foundation of Algebra, solve equations and inequalities and much more.

These course pretty much cover everything out there about algebra ranging from school level studies to some highly advanced applications that Algebra is being used for across the world.

There are also exercises and course challenges with each course that will make you test your knowledge efficiently when you want to, and feel confident about the studies you have taken so far.

13) BasicMathematics

This is a basic, blog-based website that focuses on the learning for all. The website helps students prepare for their mathematics exams or homework with no costs involved. All the courses and resources on the website is free for everyone to access.

If your children are weak at maths and you are looking to get them a productive hobby, this might be the perfect place for you to let them learn and enjoy at the same time. The website offers interactive courses with animations and graphics that will make maths look more fun, and keep the interest of your children.

Courses on this website are segregated according to the class levels and you can find basic curriculum of mathematics on this website for all the students. You can find some cool Algebra lessons on this website that will stop making algebra look boring or a dull subject.

This website will develop the right interest of your children in algebra and keep them engaged in learning with dynamic activities, exercises and games. You can find several basic and advanced level courses on algebra on this website that are a perfect way to learn algebra understanding for anyone.

## Choosing The Best Algebra Lesson Online

Algebra is being taught as one of the most important branches of mathematics and from an early age we get acquainted with the subject. Despite its wonderous applications and possibilities that it makes come true, Algebra is often perceived as a dull and boring subject.

Well, if you think the same, you might have been doing it wrong. If you are having troubles with your Algebra studies for your academic career or are looking to learn algebra for your professional abilities at work, you can get assistance from these websites that will make it worth your while.

## Algebra 1, Part 1 (Credit Recovery)

## Course Details

- Working with a Set of Real Numbers
- Solving Linear Equations and Graphing
- Linear Functions
- Inequalities and More Linear Functions
- Solving Problems Using Algebra and Geometry
- Radical Expressions and Simple Radical Equations
- Systems of Equations and Inequalities

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The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs. Khan Academy's Algebra 1 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

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Finding slope from a graph. Finding slope from two points. Finding slope from an equation. Graphing lines using slope-intercept form. Graphing lines using standard form. Writing linear equations. Graphing linear inequalities. Graphing absolute value equations. Direct variation.

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Algebra has a reputation for being difficult, but Math Games makes struggling with it a thing of the past. Kids can use our free, exciting games to play and compete with their friends as they progress in this subject! Solving and writing variable equations to find answers to real-world problems. Writing, simplifying and evaluating variable ...

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Unit 1 Introduction to algebra. Unit 2 Solving basic equations & inequalities (one variable, linear) Unit 3 Linear equations, functions, & graphs. Unit 4 Sequences. Unit 5 System of equations. Unit 6 Two-variable inequalities. Unit 7 Functions. Unit 8 Absolute value equations, functions, & inequalities. Unit 9 Quadratic equations & functions.

5) EDX. edX is another highly popular online educational platform that allows you to get the same level of quality learning that you can expect from any well-reputed institution. Their curriculum and courses are designed by experienced professionals who have spent extensive periods in the field working and teaching.

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Its lessons teach students how to solve problems using algebra, geometry, radical expressions, and equations, as well as graphing, algebraic equations, and systems of equations and inequalities. This is the first course in a two-part Algebra 1 series (ALG 051 and ALG 053). This course also encompasses Common Core State Standards.