In this video, we define rational expression, and find the domain of rational expressions.

In this video, we examine two quadratics word problems. In the first, we do a problem involving the radius of a sprinkler in a square yard. In the second problem (2:40), we find two consecutive odd numbers that have a particular product.

In this video, we do two quadratics word problems. The first involves two square and their areas. The second involves a right triangle with polynomial side lengths.

In this video, we use quadratics to determine the dimensions of a metal sheet that was folded up to make a box of a particular volume.

In this video, we examine how to use quadratics in a situation involving revenue for an apartment complex.

In this video, we use substitution to take equations and rewrite them in the form of a quadratic so that we can solve them.

In this video, we examine how to solve absolute value equations. We try to develop a conceptual understanding by representing the equations on a number line.

In this video, we examine how to solve absolute value inequalities by representing the inequalities on a number line.

In this video, we solve three absolute value inequalities. The first example is pretty standard, the second example are what I would call "exceptions," meaning that one has no solutions, and the other has all real numbers as its solutions

This video is a basic video on using the distance formula when given two points.

This video walks through two examples of "advanced" distance formula problems. Specifically, problems where you are given the distance, but have to work backwards to find one of the original points.

In this video, we find the difference quotient for two different functions.

In this video, we do a challenging distance formula problem. We find what point on the y axis would be equidistant from two given points.

In this video, we see how to simplify "complex fractions," which means a fraction within a fraction.

In this video, we work out work rates word problems. In the first problem, we see how long it takes to build furniture while working together. In the second problem, we see how long it takes to paint a room when working together.

In this video, we work out a work rates problem that has a small twist. You are given how long it takes both people to complete the job together, and then you are asked about an individual rate. This problem involves shoveling snow, but...

In this video, we learn how to solve quadratic equations with the quadratic formula. We examine one example where we have to simplify the radical, and a second example with a nonreal solution.

In this video, we solve two equations with rational exponents (fraction exponents). In order to solve equations with rational (fraction) exponents, you first isolate the value that is raised to the rational exponent. Then, you raise both...

This is my second video on deriving the Unit Circle. If you know where the angles (degrees and radians) come from, your next step is to use special right triangles to derive the points on the Unit Circle.

In this video, we investigate how to find trig ratios when given other ratios. First, we define all six trig ratios, then we examine for which quadrant each angle is positive and negative. Then, we work two examples.

The sum of the exterior angles of a polygon is discussed in this video. We derive the rule, solve practice problems, and then at the end we look at an interesting relationship between the sum of the INTERIOR angles and the sum of the...

In this video, we will practice simplifying expressions using the basic trig identities. We will work three practice problems using Reciprocal, Quotient, and Pythagorean Identities.

In this video we will VERIFY identities (see if the identity is true) using the basic trig identities - reciprocal, quotient, and Pythagorean.

How to solve problems with bearing using trigonometry. Bearing is often used as a way of describing direction in sailing and navigation. Once you know the basic definitions and some trigonometry, you can use bearing to find direction and...