Free Course Image Advanced Algebra Lessons

Free online courseAdvanced Algebra Lessons

Duration of the online course: 4 hours and 42 minutes

New course

Master advanced algebra online! Enhance your skills in solving equations, trigonometry, graphing, and more with Electric Teaching's free course.

In this free course, learn about

  • Absolute Value Equations and Graphing
  • Quadratic Equations and Complex Numbers
  • Rational Expressions and Complex Fractions
  • Trigonometry and Conic Sections
  • Track and Field Event Recording

Course Description

Explore the multifaceted world of advanced algebra with the comprehensive online course offered by Electric Teaching. Specially designed for those engaged in basic studies, this course provides a deep dive into algebra focusing on intricate topics. Participants will start by unraveling the challenges of solving absolute value equations and progress to graphing these equations using two lines or through translations.

With a sequential approach, learners delve into the realm of quadratic equations to discover solutions that involve imaginary and complex numbers. Through separate modules, the course explains completion of the square as compared to the quadratic formula, offering robust strategies for tackling these equations.

The journey continues with rational expressions and equations, wherein participants will learn the nuances of adding or subtracting rational expressions, solving rational equations, and simplifying complex rational fractions. Each topic is crafted to enhance understanding while providing pragmatic solutions for algebraic problems.

Right triangle trigonometry is tackled extensively, guiding learners through all six ratios over two modules. Emphasis is placed on practical applications and understanding within trigonometric laws, including the law of sines. The concluding section provides instruction on graphing hyperbolas and ellipses with translations, integrating geometric aspects with algebraic functions.

Each segment of the course not only delves into theoretical concepts but also includes practical exercises that reinforce learning, ensuring a well-rounded educational experience. This course is ideal for learners aiming to build confidence and competence in advanced algebra, supported by clear explanations and strategic problem-solving techniques.

Course content

  • Video class: Advanced Algebra - Solving Absolute Value Equations 07m
  • Exercise: What are the solutions for the absolute value equation 3|4w + 1| - 5 = 10?
  • Video class: Advanced Algebra - Graphing Absolute Value Equations by two lines or Translations 09m
  • Exercise: How do you graph an absolute value equation using two linear equations?
  • Video class: Advanced Algebra - Imaginary and Complex Solutions to Quadratic Equations part 1 14m
  • Exercise: What is the imaginary solution to the equation x² + 4 = 0?
  • Video class: Advanced Algebra - Imaginary and Complex Solutions to Quadratic Equations part 2 11m
  • Exercise: What happens when solving the quadratic equation x^2 + 4 = 0?
  • Video class: Advanced Algebra - Complete the Square to Solve Quadratic Equations vs Quadratic Formula 11m
  • Exercise: What is the benefit of completing the square when solving quadratic equations?
  • Video class: Advanced Algebra - Add or Subtract Rational Expressions 10m
  • Exercise: How to Determine the Least Common Denominator for Rational Expressions?
  • Video class: Advanced Algebra - Solving Rational Equations (and B.O.F.) 09m
  • Exercise: What is the result of solving the rational equation using blowout fractions trick (BF)?
  • Video class: Advanced Algebra - Simplify Complex Rational Fractions 13m
  • Exercise: What is the final simplified form of the compound fraction after using the common denominator method?
  • Video class: Advanced Algebra Lesson - Right Triangle Trigonometry - all 6 ratios 09m
  • Exercise: What is the secant of angle B in a right triangle?
  • Video class: Advanced Algebra Lesson - Right Triangle Trigonometry - all 6 ratios part 2 06m
  • Exercise: What is the inverse operation of cosine used for?
  • Video class: Advanced Algebra Lesson - Trigonometry - Law of Sines 15m
  • Exercise: What is the key concept needed to solve for lengths in an oblique triangle using given angles?
  • Video class: Advanced Algebra Lesson - Graph Hyperbola and Ellipse with translations 06m
  • Exercise: What geometric shape is determined by the given equation?
  • Video class: Meadowdale vs Shorecrest Track and Field 2h37m

This free course includes:

4 hours and 42 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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