Free Course Image Algebra

Free online courseAlgebra

Duration of the online course: 3 hours and 18 minutes

4.89

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(56)

Master Algebra with our free online course covering everything from basic operations to factoring and inequalities. Ideal for beginners seeking a thorough understanding of algebra.

In this free course, learn about

  • Real Numbers and Operations Foundations
  • Linear Equations and Inequalities
  • Multi-step Equations and Word Problems
  • Inequalities and Graphing
  • Introduction to Polynomials
  • Polynomial Multiplication and Special Products
  • Polynomial Equations and Applications
  • Factoring Foundations
  • Factoring Trinomials and Applications
  • Factoring in Geometry and Rational Expressions
  • Fractions and Rational Expressions

Course Description

Welcome to "Algebra," a comprehensive course designed to guide you through the fundamental aspects of algebra. This course has a concise duration of 3 hours and 18 minutes, making it approachable for learners with busy schedules. Remarkably, it has earned an impressive average rating of 4.91 stars. Classified under Basic Studies, more specifically within the subcategory of Algebra, this course offers a solid foundation for anyone looking to master the subject.

The course starts with the basics and steadily progresses through more complex topics. You'll begin with an understanding of multiplying and dividing real numbers, followed by grasping the critical concept of order of operations. As you move forward, you'll encounter lessons on opposite and absolute values, and quickly advance to combining like terms—an essential skill for simplifying algebraic expressions.

One of the core strengths of the course lies in its methodical approach to solving equations. It begins with the fundamentals of solving equations using addition and subtraction, then moves on to multiplication and division. You'll also learn to solve combined equations and those with variables on both sides. The course doesn't shy away from practical applications, providing you with the skills needed to solve word problems and geometry problems using algebraic methods.

Graphing and inequalities are another crucial part of the curriculum. You will not only solve but also graph basic and compound inequalities, giving you a well-rounded understanding of how these mathematical concepts are visually represented.

Polynomials form a significant portion of the syllabus. Starting with exponents, you will explore various operations involving polynomials, such as adding, subtracting, and multiplying them. Special emphasis is given to specific products of binomials and the intricate process of solving polynomial equations. Whether you’re multiplying binomials, monomials, or working with trinomial factors, this course covers it all.

Factoring is another vital segment where you will delve into the greatest common factor, the difference of squares, perfect square trinomials, and more complex trinomials. The lessons on solving equations through factoring will equip you with the tools to tackle both word problems and geometry problems effectively.

The course also includes tutorials on simplifying fractions, multiplying them, and dividing monomials, which are fundamental skills in algebra. By the end of the course, you will have a thorough understanding of how to handle equations, inequalities, and polynomials with confidence.

Whether you’re a student looking to reinforce your algebra skills or someone new to the subject, "Algebra" offers a structured and highly rated learning experience that is both comprehensive and approachable.

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?
  • Video class: Algebra Tutorial - 21 - Solving Word Problems with Polynomials 08m
  • Exercise: _What is the hardest part about solving word problems using polynomials?
  • Video class: Algebra Tutorial - 22 - Greatest Common Factor 09m
  • Video class: Algebra Tutorial - 23 - Factoring the Difference of Squares 06m
  • Exercise: _What is a difference of squares equation?
  • Video class: Algebra Tutorial - 24 - Factoring Perfect Square Trinomials 04m
  • Video class: Algebra Tutorial - 25 - Factoring Trinomials 06m
  • Exercise: _What is the process of factoring a normal trinomial?
  • Video class: Algebra Tutorial - 26 - Solving Equations- Factoring 06m
  • Video class: Algebra Tutorial - 27 - Factoring- Word Problems 06m
  • Exercise: _What is the sum of the squares of two consecutive positive even integers if the sum is equal to 340?
  • Video class: Algebra Tutorial - 28 - Factoring- Geometry Problems 06m
  • Video class: Algebra Tutorial - 29 - Dividing Monomials 03m
  • Exercise: _What is the result of dividing 18X^6Y by -3XY^5?
  • Video class: Algebra Tutorial - 30 - Dividing a Polynomial by a Monomial 04m
  • Video class: Algebra Tutorial - 31 - Simplifying Fractions 04m
  • Video class: Algebra Tutorial - 32 - Multiplying Fractions 04m

This free course includes:

3 hours and 18 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

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Course comments: Algebra

karabo malcolm

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

Sivasankaran

Good

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