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College Algebra

Unit 1: linear equations and inequalities, unit 2: graphs and forms of linear equations, unit 3: functions, unit 4: quadratics: multiplying and factoring, unit 5: quadratic functions and equations, unit 6: complex numbers, unit 7: exponents and radicals, unit 8: rational expressions and equations, unit 9: relating algebra and geometry, unit 10: polynomial arithmetic, unit 11: advanced function types, unit 12: transformations of functions, unit 13: rational exponents and radicals, unit 14: logarithms.

Numbers Place value ... Decimal numbers ... Estimating and rounding ... Adding/subtracting decimals ... Multiplying decimals ... Dividing decimals ... Percent ... Exponents ... Square roots ... Signed integers ... Adding and subtracting integers ... Multiplying and dividing integers ... Properties of integers ... Numbers Unit Quiz

Ratios and Proportions Ratios ... Proportions ... Distance, rates, and time ... Similar figures Ratios and proportions Unit Quiz

Factoring Factors and multiples ... Greatest common factor (GCF) ... Least common multiple (LCM) ... Factoring Unit Quiz

Fractions Fraction definitions ... Reducing fractions ... Adding and subtracting fractions ... Multiplying fractions ... Dividing fractions ... Adding and subtracting mixed numbers ... Multiplying mixed numbers ... Dividing mixed numbers ... Fractions Unit Quiz

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The Language of Algebra Definitions ... Order of operations ... Writing equations ... Writing inequalities ... The Language of Algebra Unit Quiz

The Basics of Algebra Useful properties ... Exponents ... Evaluating expressions ... Like terms ... Simplifying ... The Basics of Algebra Unit Quiz

Equations and Inequalities Solving addition and subtraction equations ... Solving multiplication equations ... Solving division equations ... Solving inequalities ... Formulas .... Two-step equations and inequalities ... Equations and Inequalities Unit Quiz

Graphing Equations and Inequalities The coordinate plane ... Slope and y-intercept ... Graphing linear equations ... Graphing Equations and Inequalities Unit Quiz

Geometry Building Blocks Geometry words ... Coordinate geometry ... Pairs of lines ... Classifying angles ... Angles and intersecting lines ... Circles ... Geometry Building Blocks Unit Quiz

Polygons Polygon basics ... Triangles ... Quadrilaterals ... Area of polygons and circles ... Polygons Unit Quiz

Relations and Sizes Congruent figures ... Similar figures ... Squares and square roots ... The Pythagorean Theorem and right triangle facts ... Relations and Sizes Unit Quiz

Three-dimensional Figures Space figures ... Prisms ... Pyramids ... Cylinders, cones, and spheres ... Three-dimensional Figures Unit Quiz

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Free Algebra Help

General Algebra Lessons

• Start with an Introduction to Algebra .
• Absolute Value
• Direct Variation
• Distributive Property
• Dividing by Zero
• Exponents and Negative Exponents
• Factoring Numbers and the Greatest Common Factor
• Imaginary Numbers
• Mean , Median , and Mode
• Order of Operations
• Percentages
• Proportions and Ratios
• Rational Numbers
• Scientific Notation

Simplifying and Solving Equations

• Combining Like Terms to simplify your expressions.
• Multiplying Polynomials
• The Quadratic Formula is one way to solve certain equations.
• Substitution allows you to replace an unknown with a known.
• Systems of Linear Equations - Solve for more than one variable.
• Solving Systems of Inequalities - Like before, but with less-than and greater-thans.
• Systems of Equations With More Than Two Variables - Why not keep going?
• Using FOIL to multiply two expressions.
• Finding Roots
• Completing the Square In Circle Equations - A more advanced subject.
• What are Functions ?
• Domain and Range describe the input and output.
• Exponential Functions add exponents to the function.

Graphing Equations and Inequalities

• Linear Equations are straight lines.
• Asymptotes are approached but not reached.
• Finding Asymptotes
• Finding Horizontal Asymptotes
• Compute the Length of a Line Segment
• Express an equation in Point Slope Form .
• Find the distance between two points
• Midpoint Formula
• Rational Functions
• Addition and Subtraction of Rational Functions
• Division of Rational Functions
• Multiplication of Rational Functions

Other Algebra Topics

• Finding Limits
• Matrix Multiplication

Video Lessons

• Pre Algebra
• Algebra Word Problems
• Advanced Algebra
• Adding and Subtracting Real Numbers
• Introduction to Equations
• Simplifying Fractions

Recent Algebra Questions

The concentration C of a drug in a patient’s bloodstream: use a calculator to approximate... Saturday September 30, 2023

Bond Equivalent Yield: calculate BEY if the holding period yield (HPY) is 3% and holding period of the bond is 4 months Saturday September 30, 2023

An easy one for this crowd: I want to add 29.07% to the number $36000. How much more is $36000 when 29.07% is added? Saturday September 30, 2023

0?">Slope field multiple choice: Which graphic shows dy/dx = x - ky for k > 0? Friday September 29, 2023

4x">Understanding quadratic inequalities: 2 questions about solution for 2x^2+1 > 4x Friday September 29, 2023

Algebra Formulas

Here are some of the most commonly used formulas in algebra.

Laws of Exponents

• \(a^ma^n=a^{m+n}\)
• \((a*b)^m=a^mb^m\)
• \((a^m)^n=a^{mn}\)
• \(a^{\frac{m}{n}}=\sqrt[n]{a^m}\)
• \(\frac{a^m}{a^n}=a^{m-n}\)
• \(a^{-m}=\frac{1}{a^m}\)

Quadratic Formula

For an equation of the form \(ax^2+bx+c=0\), you can solve for x using the Quadratic Formula :

Binomial Theorem

• \((a+b)^1= a + b\)
• \((a+b)^2=a^2+2ab+b^2\)
• \((a+b)^3=a^3+3a^2b+3ab^2+b^3\)
• \((a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4\)

Difference of Squares

• \(a^2-b^2=(a-b)(a+b)\)

Rules of Zero

• \(\frac{0}{x} = 0\text{, where }x \neq 0.\)
• \(a*0 = 0\)
• \(\frac{a}{0}\text{ is undefined (you can't do it)}\)

Algebra Examples:

I've always found that working example problems is the best way to understand a new subject. If you've had trouble grasping a new algebra concept, the best solution might be to work your way through a series of example problems. I've tried to compile some links for example problems you can solve.

Intermediate Algebra Example Problems -- some extra selections sorted by subject matter to illustrate each concept in more detail.

Analyze Math Algebra 1 Tutorial -- A standard tutorial that focuses heavily on worked-out examples, including these problems .

Further Help

If you still have algebra questions, you might want to check out these other websites for more help: Algebra.Help , Purple Math , Math Goodies , and the Virtual Math Lab .

if you have a specific problem or two that you need answered, you might want to ask our algebra message board . Real, live math tutoring may be what you are really looking for though. In that case, your best bet is probably to talk to your teacher at school. He or she will be able to help you find someone locally who can tutor you in algebra. Alternatively you can find algebra tutoring online. Of course, never meet someone (even a math tutor) in-person without being safe and speaking with your parents first. Good luck!

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Wolfram|Alpha has broad knowledge and deep computational power when it comes to math. Whether it be arithmetic, algebra, calculus, differential equations or anything in between, Wolfram|Alpha is up to the challenge. Get help with math homework, solve specific math problems or find information on mathematical subjects and topics.

Do basic arithmetic. Work with fractions, percentages and similar fundamentals. Solve place value and word problems.

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Plot a conic section and identify its type:, compute properties of a polyhedron:.

Work with various kinds of numbers. Check for membership in larger sets, such as the rationals or the transcendental numbers. Convert between bases.

Compute a decimal approximation to a specified number of digits:

Convert a decimal number to another base:.

Analyze integers; subsets of the integers, including the prime numbers; and related ideas.

Compute a prime factorization:

Solve a diophantine equation:.

Perform numerical analysis and optimization of systems and objects, including packing and covering of objects and control systems.

Minimize or maximize a function:

Numerically integrate functions that cannot be integrated symbolically:.

Make queries about various definitions and descriptions in mathematics.

Find information about a math concept:

Get a brief definition:.

Compute properties of datasets, perform statistical inference or model data. Work with probability distributions and random variables.

Calculate basic descriptive statistics for a data set:

Find the sample size needed to estimate a binomial parameter:.

Find roots of and expand, factor or simplify mathematical expressions—everything from polynomials to fields and groups.

Solve an equation:

Factor a polynomial:, simplify an expression:.

Solve differential equations of any order. Examine solutions and plots of the solution families. Specify initial conditions to find exact solutions.

Solve a linear ordinary differential equation:

Specify initial values:, solve a nonlinear equation:.

Perform trigonometric calculations and explore properties of trigonometric functions and identities.

Compute values of trigonometric functions:

Solve a trigonometric equation:.

Explore sequences and recurrences, solve common problems in combinatorics and compute properties of graphs and lattices.

Compute a possible formula and continuation for a sequence:

Analyze a graph specified by adjacency rules:, solve a recurrence:.

Evaluate Boolean logic expressions and expressions involving sets and set operators. Solve Boolean equations. Compute truth tables. Generate Venn diagrams.

Compute a truth table:

Generate a venn diagram:.

Gather information about famous problems, conjectures, theorems and paradoxes. Learn about them and their formulators.

Get information about a mathematical conjecture:

Get historical information about a theorem:.

Compute the probabilities of certain events occurring. Compute joint, disjoint or conditional probabilities and apply them to real-world situations.

Compute the probability of a union of events:

Compute coin‐toss probabilities:.

Compute integrals, derivatives and limits as well as analyze sums, products and series.

Compute an integral:

Calculate a derivative:, solve an ordinary differential equation:.

Visualize functions, equations and inequalities. Do so in 1, 2 or 3 dimensions. Make polar and parametric plots.

Plot a function:

Plot a region satisfying multiple inequalities:.

Explore and compute properties of vectors, matrices and vector spaces.

Compute properties of a vector:

Calculate properties of a matrix:, determine whether a set of vectors is linearly independent:.

Analyze functions and expressions containing imaginary numbers or complex variables.

Compute properties of a function of a complex variable (use the variable z ):

Compute the residue of a function at a point:.

Examine the properties of mathematical functions, such as continuity, surjectivity and parity. Utilize notable special functions or number theoretic functions.

Do computations with special functions:

Do computations with number theoretic functions:, find representations for a function:.

Compute; learn about algorithms, definitions and theorems involving; or find properties of continued fractions.

Find the continued fraction representation of a number:

Find definitions of continued fraction terminology:, find continued fraction papers by author:.

Get information about math Common Core Standards for kindergarten through eighth grade.

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The downsides of free homework help..

How often do use assistance of the Internet in doing your homework? We bet, it's your daily routine to open a browser and start looking for solutions. Do you think the strangers on the other side of the screen will provide necessary information for your math homework help? Unlikely! After one successful task there might be a sad outcome. We want you to be cautious about the websites you look for assistance, that's why we have gathered the disadvantages of asking Google for free homework help.

First, and the main downside is the inability to check the result. People helping you with your task might not know the answers themselves. And what assistance would you get in this case? Wrong answers!

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The best websites for homework help.

When a student is looking for help he always (no exaggeration!) expects it to be free. Of course, being a college student always means being tight on budget and looking for the ways to save money even more. But it should be related to college homework help. Sadly, there are thousands of examples when a bad homework resulted in bad grades, and a poor student had to learn more to pass the exam. That's why we don't recommend to look for answers on the websites like Reddit or Chegg. Why? We explain below.

Chegg homework help is a paid service. You need to buy a monthly subscription to use it. Is it worth it? Depends on your professor. If the tasks you get are strictly from a textbook, then it might be good. To cope with a creative teachers this website has nothing to offer.

The same goes for Reddit homework help. It might be useful when you're looking for solutions on a standard task, the one that dozens of people are struggling with as well. There's nothing these services can offer if you're homework is unique and created by a teacher himself. What to do in this case? Read our recommendations below.

We recommend to try it!

There's an easy and cheap solution that will help you succeed in your studies. A personal assistance with homework created just for your tasks. No need to scroll pages looking for similar tasks and subjects, no need to copy from the screen and guess, if the results are correct. Professionals will perform the task for you! All you have to do is to provide it and enjoy a personalized approach and high quality service. After that you'll never come back to Reddit in search of answers!

Homework Help Service Online

Free homework help can be dangerous.

Students stopped looking for solutions themselves. Because the power of almighty Internet is actually limitless. There's a possibility to find all the answers, results, information, solutions - everything is available with one simple click. You can even find math homework help for the most complicated tasks without torturing yourself looking for an answer. Is that a contemporary blessing and we all should stop learning? Why bother yourself if college homework help of any complexity is available online and mostly for free? Here's why.

Unfortunately, most websites weren't created for helping you to cope with your studies. They were made to attract traffic first. Besides, you don't know anything about people who are providing this free homework help. Who are they? Students? Teachers? Do they degree or diploma? Or are they just typing their variants and methods to solve the tasks? That's why you have to be careful with these websites. A free assistance can result in a dangerous outcome. Moreover, it was created according to the textbooks. You won't find any unique tasks your professor created himself.

Another downside of such websites is the time required to find the proper answer. It's easy to get lost in the amount of data and information present, and you find yourself endlessly scrolling the page without any results... What to do? Choose the suitable platform!

Where to find a proper homework help.

There's no lack in assisting resources in the modern times. Every website is basically screaming about being helpful and beneficial! Who to choose the best one? Is it already invented? We'll take a closer look to 2 most famous platforms for homework help and compare them. After that you'll get several advise on how to cope with the workload.

Chegg homework help has got thousands of positive reviews, users are saying the website was a great assistance with the studies. There are only 3 disadvantages of it: time, price and tasks. It requires a lot of time to download your task and wait for someone to give an answer or to scroll the similar threads to find a solution. As a result, you waste tons of your time on Chegg... Another downside is the monthly subscription. Yes, the service isn't free. And the most important disadvantage is the tasks found in the most common textbooks. You need to meet all the criteria in your studies to actually find help.

Reddit homework help works the same. Although all experts answering the questions are the same users as you are. So you don't have to be surprised if the solution would wrong. What to do in this case? Well, we've prepared several tips!

Recommendations for students.

What do we have to say to all students struggling with their homework? First, plan your time and don't leave the most complicated tasks until deadline. Second, divide the complex tasks into stages. Third, don't forget about proper rest. And of course, if you don't know how to deal with your workload, use special services helping to deal with studying issues. And get your homework done by professionals, not amateurs!

24/7 Homework Help: Get Help Online

The downsides of getting free homework help.

When we aren’t able to deal with the pile of hometasks ourselves, we think about getting any help. If our parents had to ask their parents or other seniors for help, then we have a wonderful opportunity to check, for example, Chegg: homework help of any kind can be found there. Also there are dozens of other platforms that offer homework help of different types. For example, we all love to scroll through Reddit threads sometimes. However, apart from gossiping and meaningless talks, there might be something important and serious there as well.

Reddit homework help is also quite popular, as most tasks in schools and colleges are taken from the same books. But have your ever thought that free homework help might be dangerous for you? First of all, it’s a wrong answer to the task. Just imagine that you copy something without thinking, and bring it to class. Oops, apparently, the answer is wrong, but you can’t even explain how you were working on this task, because you wasn’t…

One of the most tricky aspects here is math homework help. Sometimes, the right answer is not enough. A student should follow a certain algorithm when solving the task. And professional services will help him with that. No need to worry about any type math: algebra homework help, geometry and other subjects are available.

As a result, you will save your time, avoid mistakes and errors, pay a reasonable price and, mot importantly, will be confident in the correct answer. How all these became possible?

Advantages of modern technologies

We are very lucky to live in the data-driven era, when anything we want is available with one click of the mouse (in fact, you don’t even need a mouse). College homework help is available online at any time you need it. Forget about time zones, don’t think about living in a small town, when the power of the whole world is in front of you! Get help with tasks of any complexity, regardless of the subject. Not need to be a pro in accounting: homework help will change the way you think about studies!

Choose you subject and get the best homework help: math, physics, biology, chemistry, literature, etc.

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You are an international student if you don’t fall under any of the domestic student requirements.

Homework help

Homework help and its kinds.

How to be successful in studying when there are other activities and duties that take your time and prevent you from finishing workload? The answer is simple! Get help of professionals who can solve all the tasks for you. Whether you need math homework help, or any other subject, there are plenty of online specialists ready to assist. It's not shameful for ask for help. Modern people fill their schedule with numerous tasks that sometimes can't even cope with them. Students can be working, might have kids or parents to look after, or just be tired of constant routine. College homework help was created for all these purposes, and for one main reason: to give student some free time. You can join help server and there will be plenty of people like you looking for assistance in foreign languages, science, statistics and other subjects. For that a special website was created. It's called homework help discord server, where you share ideas and conclusions online. After joining community you choose the subject you need and can start conversation with other people.

The major advantage of discord is possibility to find all answers you need. Homework help would not only boost your grades, but increase your knowledge of the subject. Sometimes you don't need someone to make task for you, it's just a little hint that would result successfully finished task. Joining discord server you can help other people as well.

Advantages of homework help online

Why not just hiring a private tutor to solve all problems? Well, it would require extra time and money to have a class with tutor. Besides, amount of complex subjects and tasks would be growing, and you would be spending your day only changing tutors. Asking for online homework help you will find an answer easily, and thus saving cash. After economics and maths soon your subjects would be even more complicated. Homework help servers have it all: there's always someone sharing ideas or starting discussion no matter how hard topic is. Looking for statistics homework help? You would find it. The second advantage is number of levels presented. Are you middle class student? Answers and help can be found here. Is your subject of university level? Welcome to discord servers, they have it all. Accounting homework help, technology and engineering: everything is in one place. Discord unites both students and tutors. Homework can be done easily and quickly if you use not books only, but also all the opportunities that website offers. Surfing online helps you to find the answer faster than tying to solve riddles yourself. Another great advantage is number of users. Even if you're studying in small school and it seems like there's no help at all, almighty Internet is always ready to assist in learning process.

How it's working?

If you think homework help is just website when you and other people are trying to do home task you are completely wrong. It would help you to find a necessary book online in the middle of night and don't wait until library is open. To proceed with studies you can hire a tutor to explain you some part or theories you don't understand. Finally, you can ask questions or open a discussion, and welcome everyone to join it. A simple principle of knowledge exchange is basis for each homework help website.