Add mixed numbers by using models and rules.

This video will discuss examples to find approximate solutions by graphing, using technology. Equations of the form f(x) = g(x) will be solved, where f(x) and g(x) may be linear, polynomial, rational, absolute value, exponential, or...

This video will explain how to choose the correct property to apply to a complex number expression, and how to solve them.

Percent Decrease: Decimal to Percent explains how to solve percent decrease problems by changing a decimal to a percent.

Percent Decrease: Fraction to Percent shows how to solve percent decrease problems by changing a fraction to a percent.

Percent Increase: Decimal to Percent demonstrates solving percent increase problems by changing a decimal to a percent.

Multi-Step Equations demonstrates how to solve multi-step equations by using the distributive property to combine like terms on one side of an equation.

Two-Step Equations shows how to write two-step single variable equations by using verbal models.

Simplify algebraic expressions by using the order of operations.

Lesson 45. Calculate and improve your average spelling score with Sir Linkalot.

Identify terms, constant terms, variables, coefficients, and like terms by using mathematics definitions.

Because of the tremendous variety of shapes of their graphs, polynomial functions are important tools for modeling phenomena in a wide range of fields such as science, engineering, medicine and finance. But since polynomial functions are...

Scientific notation allows us to more easily express very large or very small numbers encountered in engineering and science. Using exponents, we can convert standard decimal numbers into scientific notation and vice versa.

In the previous lecture we saw that although a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Unlike vertical asymptotes, a...

Although a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Since a function's value is undefined at a vertical asymptote, its...

In the previous lecture, we saw examples of x values that cause a rational function's numerator to be zero, where those x values produce x-axis intercepts in the function's graph. We also saw x values that cause denominator zeros that...

A rational function is any function that can be written as a fraction whose numerator and denominator are polynomials. Rational functions include a broad range of possibilities. For example, since a polynomial can be a constant, a...

This lecture explains a procedure used to divide polynomials that is analogous to the procedure used to divide integers called "long division". Dividing one polynomial (the dividend) by another (the divisor) produces a quotient that may...

In the previous lecture we saw how polynomial functions could be added or subtracted, producing new polynomial functions with different characteristics. In this lecture we will see how to multiply polynomial functions and show how the...

Adding polynomial functions produces another polynomial function. The values of this function are the sum of the values of the polynomials that were added for every possible value of the input variable(s). Fortunately, adding polynomial...

When sketching the graph of a polynomial function, it may not be necessary to calculate numerous points on the graph. Many clues as to the general shape of the graph can be derived if we understand the characteristics that the graphs of...

Calculators and graphing utilities are available that are capable of creating accurate graphs of polynomial functions. However, it is often desirable to sketch a quick representation of a function's graph to get a general idea of its...

A polynomial is a sum of one or more terms called monomials. If we think of each monomial as a separate function, then a polynomial function can be thought of as a sum of these monomial functions. In previous lectures we have studied...

The video “Simplify Expressions” introduces algebra tiles as a helpful tool for representing and simplifying algebraic expressions.