Algebra II

Algebra II « Series from 2011

Series from 2011

Broadcast info
Genres: Special Interest

Make sense of Algebra II in the company of award-winning Professor James A. Sellers. Algebra II gives you all the tools you need to thrive in a core skill of mathematics.

In 36 engaging half-hour episodes designed for learners of all ages, Professor Sellers walks you through hundreds of problems, showing every step in their solution and highlighting the most common missteps made by students.

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An Introduction to Algebra II

Professor Sellers explains the topics covered in the series, the importance of algebra, and how you can get the most out of these episodes. Then, launch into the fundamentals of algebra by reviewing the order of operations and trying your hand at several problems.

Solving Linear Equations

Explore linear equations, starting with one-step equations and then advancing to those requiring two or more steps to solve. Next, apply the distributive property to simplify certain problems, and then learn about the three categories of linear equations.

Solving Equations Involving Absolute Values

Taking your knowledge of linear equations a step further, look at examples involving absolute values, which can be thought of as a distance on a number line, always expressed as a positive value. Use your critical thinking skills to recognize absolute value problems that have limited or no solutions.

Linear Equations and Functions

Moving into the visual realm, learn how linear equations are represented as straight lines on graphs using either the slope-intercept or point-slope forms of the function. Next, investigate parallel and perpendicular lines and how to identify them by the value of their slopes.

Graphing Essentials

Reversing the procedure from the previous episode, start with an equation and draw the line that corresponds to it. Then test your knowledge by matching four linear equations to their graphs. Finally, learn how to rewrite an equation to move its graph up, down, left, or right, or by flipping it entirely.

Functions - Introduction, Examples, Terminology

Functions are crucially important not only for algebra, but for precalculus, calculus, and higher mathematics. Learn the definition of a function, the notation, and associated concepts such as domain and range. Then try out the vertical line test for determining whether a given curve is a graph of a function.

Systems of 2 Linear Equations, Part 1

Systems of 2 Linear Equations, Part 2

Systems of 3 Linear Equations

Solving Systems of Linear Inequalities

An Introduction to Quadratic Functions

Quadratic Equations - Factoring

Quadratic Equations - Square Roots

Completing the Square

Using the Quadratic Formula

Solving Quadratic Inequalities

Conic Sections - Parabolas and Hyperbolas

Conic Sections - Circles and Ellipses

An Introduction to Polynomials

Graphing Polynomial Functions

Combining Polynomials

Solving Special Polynomial Equations

Rational Roots of Polynomial Equations

The Fundamental Theorem of Algebra

Roots and Radical Expressions