Free online courseIntermediate Algebra
Duration of the online course: 54 hours and 38 minutes
4.82
(22)
Master Intermediate Algebra with this comprehensive free online course. Topics include factoring, rational expressions, graphing, quadratic equations, radicals, and conic sections.
Course Description
The Intermediate Algebra course presents an in-depth exploration of algebraic principles, meticulously designed to transition learners from basic algebra to more advanced concepts. With a total duration of 54 hours and 38 minutes, this course provides a comprehensive journey through intermediate algebra, ensuring learners build a strong foundation for future mathematical studies.
Earned an exceptional average rating of 4.82 out of 5 stars, this course has garnered widespread acclaim from learners who have appreciated the clear instruction and thorough coverage of topics. Positioned within the Basic Studies category, and specifically within the Algebra subcategory, this course caters to those aiming to deepen their understanding of algebraic techniques and applications.
The course begins with fundamental topics such as factoring the greatest common factor (GCF) and advances through the intricacies of polynomials, including specific techniques for factoring different forms of trinomials and binomials. Students learn to solve equations by factoring, extending this skill to tackle word problems and application scenarios.
A brief review segment consolidates previous algebraic principles, ensuring that students are well-prepared for the more advanced topics ahead. This includes a refresher on solving equations, graphing, and polynomial mathematics. The course then delves into rational expressions, guiding learners through simplification, multiplication, division, and manipulation of these expressions, as well as solving rational equations and complex fractions.
The graphing section introduces linear equations and their graphical representations, highlighting the relationships of parallel and perpendicular lines. Students explore non-linear functions, piecewise functions, and basic translations of graphs. Applications of direct and inverse variation further enhance their graphical understanding.
Addressing inequalities, the course covers compound inequalities, absolute value equations, and inequalities, alongside graphing systems of linear inequalities. A thorough introduction to radicals and radical functions sets the stage for working with rational exponents, simplifying radical expressions, and solving related equations, including applications involving the Pythagorean theorem and complex numbers.
The quadratic equations section provides tools for solving by completing the square and using the quadratic formula, along with employing various quadratic methods. Students also learn to solve non-linear and quadratic inequalities, and sketch graphs of quadratic functions.
Further, the course explores the operations and compositions of functions, delving into inverse functions and the processes of graphing and solving both exponential and logarithmic functions. Essential properties of logarithms and equations expand the students' algebraic toolkit.
Finally, a detailed study of conic sections – including parabolas, circles, ellipses, and hyperbolas – concludes the curriculum, equipping learners with the skills to analyze and graph these important geometric figures.
This Intermediate Algebra course stands as a vital resource for those seeking to advance their algebraic knowledge and problem-solving abilities, providing a well-structured and engaging learning experience.
Conteúdo do Curso
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Video class: Intermediate Algebra Lecture 6.1: Factoring the Greatest Common Factor (GCF)
2h17m
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Video class: Intermediate Algebra Lecture 6.2: Factoring Polynomials (Trinomials) With a = 1
0h54m
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Video class: Intermediate Algebra Lecture 6.4: Factoring Polynomials (Trinomials) in General
0h53m
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Video class: Intermediate Algebra Lecture 6.5: Factoring Binomials (Difference of Squares/Cubes)
1h39m
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Video class: Intermediate Algebra Lecture 6.6: Solving Equations by Factoring
1h23m
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Exercise: _What is standard form for a quadratic equation?
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Video class: Intermediate Algebra Lecture 6.7: Using Factoring to Solve Word/Application Problems
1h05m
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Video class: Intermediate Algebra Lecture C.1: A BRIEF Review of Solving Equations and Factoring
2h28m
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Video class: Intermediate Algebra Lecture C.3: A BRIEF Review of Graphing
0h38m
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Video class: Intermediate Algebra Lecture C.4: A BRIEF Review of Polynomial Mathematics
0h39m
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Exercise: _What is a polynomial?
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Video class: Intermediate Algebra Lecture 7.1: Defining and Simplifying Rational Expressions
1h42m
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Video class: Intermediate Algebra Lecture 7.2: How to Multiply and Divide Rational Expressions
1h08m
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Exercise: _What is the first step to multiply rational expressions?
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Video class: Intermediate Algebra Lecture 7.3: Finding LCD and Equivalent Rational Expressions
1h10m
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Video class: Intermediate Algebra Lecture 7.4: Adding and Subtracting Rational Expressions
1h16m
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Exercise: _What is the first step in adding or subtracting rational expressions with different denominators?
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Video class: Intermediate Algebra Lecture 7.5: Solving Rational Equations (Equations with Rational Expressions)
0h57m
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Video class: Intermediate Algebra Lecture 7.6: Using Proportions and Rational Methods in Problem Solving
0h49m
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Exercise: _What is a proportion in algebra?
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Video class: Intermediate Algebra Lecture 7.7: Introducing and Simplifying Complex Fractions
0h40m
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Video class: Intermediate Algebra Lecture 8.1: Graphing Lines. Equations of Parallel and Perpendicular Lines
1h41m
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Video class: Intermediate Algebra Lecture 8.2: An Introduction to Non-Linear Functions
0h46m
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Video class: Intermediate Algebra Lecture 8.3: Study of Piecewise Functions and Basic Translations of Graphs
1h21m
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Exercise: _What does the term "piecewise" mean in a piecewise function?
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Video class: Intermediate Algebra Lecture 8.4: An Introduction to Direct and Inverse Variation
0h46m
Intermediate Algebra
Free Intermediate Algebra Courses
Welcome to our comprehensive listing of free Intermediate Algebra courses, a crucial subcategory of Algebra that bridges the gap between basic and advanced mathematical concepts. Whether you're a student looking to strengthen your algebra skills, a professional seeking to refresh your knowledge, or simply a math enthusiast eager to explore more, our curated selection of Intermediate Algebra courses is designed to meet your needs. Dive into the world of polynomials, quadratic equations, functions, and more with these expertly crafted courses.
Our Intermediate Algebra courses are entirely free, offering you quality education without any financial burden. Here, you will find a variety of courses from reputable educational platforms, ensuring you receive the best learning experience possible. Each course is structured to help you master Intermediate Algebra concepts through video lectures, interactive exercises, and practical examples.
Explore our list of free Intermediate Algebra courses below:
- Intermediate Algebra for College Students - This course is perfect for college students who need a comprehensive review of Intermediate Algebra. It covers key topics such as linear equations, inequalities, and graphing.
- Mastering Quadratic Equations - Dive deep into quadratic equations with this specialized course. Learn how to solve quadratic equations using various methods, including factoring, completing the square, and the quadratic formula.
- Functions and Their Graphs - Understand the concept of functions and how to graph them. This course covers different types of functions, including linear, quadratic, and exponential functions.
- Polynomials and Rational Expressions - Gain a solid understanding of polynomials and rational expressions. Learn how to perform operations with polynomials and simplify rational expressions.
- Systems of Equations and Inequalities - Learn how to solve systems of equations and inequalities using various methods. This course includes both algebraic and graphical solutions.
- Radicals and Complex Numbers - Explore the world of radicals and complex numbers. Understand how to simplify radical expressions and perform operations with complex numbers.
- Exponential and Logarithmic Functions - Master exponential and logarithmic functions with this course. Learn about their properties, graphs, and applications.
These free Intermediate Algebra courses are designed to be flexible and accessible, allowing you to learn at your own pace and on your own schedule. Each course includes a variety of resources such as video tutorials, practice problems, and quizzes to help reinforce your understanding of key concepts.
Don't miss out on this opportunity to enhance your algebra skills with our free Intermediate Algebra courses. Start learning today and take your mathematical knowledge to the next level!
For more free courses in Algebra and other mathematical subjects, be sure to check out our other listings. Happy learning!
This free course includes:
54 hours and 38 minutes of online video course
Exercises to train your knowledge
Certificate of course completion
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