Free Course Image Algebra

Free online courseAlgebra

Duration of the online course: 3 hours and 18 minutes

4.84

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Build algebra skills fast with a free online course: master equations, polynomials and inequalities through clear lessons and practice exercises.

In this free course, learn about

  • Multiply/divide real numbers; determine sign rules for products and quotients
  • Apply order of operations (PEMDAS) to simplify numerical and algebraic expressions
  • Find opposites and absolute values; interpret absolute value as distance from zero
  • Combine like terms, including multivariable terms and higher-degree terms
  • Solve linear equations using addition/subtraction to isolate the variable
  • Solve linear equations using multiplication/division; use inverse operations
  • Solve multi-step equations with distribution, parentheses, and variables on both sides
  • Translate word statements into equations and solve for unknowns
  • Solve and graph basic inequalities; understand open/closed circles and shading
  • Solve and graph compound inequalities using AND/OR; interval notation concepts
  • Use exponent rules and evaluate expressions with powers (e.g., squares and cubes)
  • Define polynomials; add and subtract polynomials by combining like terms
  • Multiply polynomials: monomial-by-polynomial, binomials (FOIL), and larger products
  • Use special products (difference of squares, squaring binomials) and solve polynomial equations

Course Description

Strengthen your math foundation and gain confidence with algebra by learning how to reason step by step, not just memorize rules. This free online course is designed for students and anyone who wants a reliable refresher, turning confusing symbols and rules into a set of practical tools you can apply to homework, exams, and real-life problems.

You will begin with the essentials of working with real numbers, including how signs affect multiplication and division, and how to avoid common mistakes by using the order of operations correctly. From there, you will build comfort with opposite numbers and absolute value so you can interpret expressions accurately and simplify with confidence. As the course progresses, you will develop fluency in simplifying algebraic expressions by combining like terms, a key skill for nearly every topic that follows.

Next, you will learn how to solve equations systematically. You will practice isolating variables using addition and subtraction, then extend those ideas to multiplication and division, and finally to multi-step equations. You will also handle situations with variables on both sides, learning to keep your work organized and your logic consistent. To connect algebra to everyday thinking, you will translate word problems into equations, identify what the unknown represents, and choose efficient solution steps.

You will then move into inequalities, learning how solutions are represented on a number line and how different symbols change the meaning of a statement. By working with compound inequalities, you will see how to describe ranges of values clearly and how to graph them correctly. The course also introduces exponents and helps you build a strong sense of structure so expressions look less intimidating and more predictable.

Finally, you will develop core algebra skills with polynomials: adding and subtracting, multiplying by monomials, multiplying binomials and polynomials, and recognizing special products. You will apply these skills to polynomial equations and even to geometry contexts, reinforcing that algebra is a language for describing relationships and solving problems. With short videos and targeted exercises, you will get the repetition you need to improve accuracy, speed, and understanding.

Course content

  • Video class: Algebra Tutorial - 1 - Multiplying and Dividing Real Numbers

    09m

  • Exercise: _What is the result of multiplying a negative number and a positive number?

  • Video class: Algebra Tutorial - 2 - Order of Operations

    07m

  • Exercise: What is the order of operations?

  • Video class: Algebra Tutorial - 3 - Opposite and Absolute Values

    04m

  • Exercise: _What is the absolute value of -25?

  • Video class: Algebra Tutorial - 4 - Combining Like Terms

    05m

  • Exercise: What is the final result of combining like terms in the expression: 5y²x + 8y²x - 2x²y - x²y + 2xy + 3xy?

  • Video class: Algebra Tutorial - 5 - Solving Equations with Addition and Subtraction

    06m

  • Exercise: _What is the first step to solve an equation with addition and subtraction?

  • Video class: Algebra Tutorial - 6 - Solving Equations with Multiplication and Division

    04m

  • Exercise: What operation is used to isolate the variable X in the equation 2X = 12?

  • Video class: Algebra Tutorial - 7 - Solving Combined Equations

    04m

  • Exercise: _What is the first step in solving the equation 7(x+2)=-35?

  • Video class: Algebra Tutorial - 8 - Solving Equations with Variables on Both Sides

    05m

  • Exercise: What is the solution for x in the equation 3x - 2 = 4?

  • Video class: Algebra Tutorial - 9 - Solving Word Problems with Equations

    07m

  • Exercise: _What is the equation that represents the statement "the sum of twice a number and 21 is 83"?

  • Video class: Algebra Tutorial - 10 - Solving and Graphing Basic Inequalities

    09m

  • Exercise: How does graphing inequalities work with different inequality symbols?

  • Video class: Algebra Tutorial - 11 - Solving and Graphing Compound Inequalities

    07m

  • Exercise: _What is a compound inequality?

  • Video class: Algebra Tutorial - 12 - Exponents

    06m

  • Exercise: What is the product of 2 squared and 3 cubed multiplied by 4?

  • Video class: Algebra Tutorial - 13 - Adding and Subtracting Polynomials

    06m

  • Exercise: _What is a polynomial?

  • Video class: Algebra Tutorial - 14 - Multiplying a Polynomial by a Monomial

    07m

  • Exercise: What is the correct result when multiplying -3x by the expression (6x - 5 + x)?

  • Video class: Algebra Tutorial - 15 - Multiplying Binomials

    04m

  • Exercise: What is the result of multiplying the binomials (2x + 3) and (4x + 5)?

  • Video class: Algebra Tutorial - 16 - Multiplying Polynomials

    07m

  • Exercise: When multiplying polynomials, what is one of the key differences compared to multiplying binomials?

  • Video class: Algebra Tutorial - 17 - Special Products of Binomials

    03m

  • Exercise: _What is the result of multiplying (X + 3) and (X - 3)?

  • Video class: Algebra Tutorial - 18 - Squaring Binomials

    03m

  • Exercise: What is the result of squaring the binomial (a + b)?

  • Video class: Algebra Tutorial - 19 - Polynomial Equations

    06m

  • Exercise: _What is the value of X in the equation 4x - 2 = 3x - 6 + 10?

  • Video class: Algebra Tutorial - 20 - Solving Geometry Problems with Polynomials

    07m

  • Exercise: What is the perimeter of a rectangle in terms of Y?

This free course includes:

3 hours and 18 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

100% free, from content to certificate

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Course comments: Algebra

KM

Kamran Mehar

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Good

KM

karabo malcolm

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really didn't miss any quotes and answers really helpful,I would listen to her voice All day long

S

Sivasankaran

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Good

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