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Simplifying a product involving square roots using the distributive property: Basic

Two examples of distributing radicals into a sum of other radicals and simplifying in the process.

From  Tom Grant 11 plays 0  

Solving an equation of the form x^2 = a using the square root property

Discusses the square root property, then encourages the viewer to write a list of perfect squares in the marginfor reference. Lasly, three examples are presented and solved.

From  Tom Grant 7 plays 0  

Solving an equation written in factored form

Starts with cautiioning against multiplying the factors back together and describes the zero product property to justify this warning. Then shows how to continue from the factored form to separate…

From  Tom Grant 15 plays 0  

Multiplication involving binomials and trinomials.

A demo of this topic where I stack the l ike terms in columns as a perform the distributions connecting each term of the first polynomial to each term in the other.

From  Tom Grant 17 plays 0  

Rewriting an algebraic expression without a negative exponent

Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.

From  Tom Grant 9 plays 0  

Solving a compound linear inequality: Interval notation

This describes how to solve each side of a compound inequality, then using the graphs of each part determine the interval notation for the entire compound statement.

From  Tom Grant 19 plays 0  

Set Builder Notation

Shows how to take the descriptive set builder notation and write a roster set to represent the same one.

From  Tom Grant 7 plays 0  

Finding the maximum or minimum of a quadratic function

This shows how to decide whether you are seeking a maximum or minimum value for a quadratic function and then how to find the vertex of i ts parabola to deternine the x-value that locates the min…

From  Tom Grant 11 plays 0  

Introduction to simplifying a radical expression with an odd exponent

This is an example of how to remove as many factors as possible from under a square root to become a "whole" expression

From  Tom Grant 7 plays 0  

Adding rational expressions with denominators ax and bx: Basic

Demonstrates how to adjuxt fractional algebra so that the fractions can be added together

From  Tom Grant 11 plays 0  

Domain of a rational function: Excluded values

Shows how to find out what values are not defined for a rational function. This ability will be needed when solving rational equations because you may come up with a value that is not valid when…

From  Tom Grant 15 plays 0  

Dividing a polynomial by a monomial: Univariate

Shows how to distribute a division like you do with multiplication when there is one term being distributed.

From  Tom Grant 36 plays 0  

Classifying systems of linear equations from graphs

Looks at the three types of graphs that can occur with a system of two linear equaltions in two variables.

From  Tom Grant 17 plays 0  

Translating a sentence into a one-step inequality

This shows how written statments are not always written in the order that the mathematical equivalent is, so please listen to the explanation presented here.

From  Tom Grant 40 plays 0  

Translating a sentence by using an inequality symbol

This just describes how to translate a statement in words using the symbols for greater than, greater that or equal to, less than, and less than or equal to.

From  Tom Grant 56 plays 0  

Solving for a variable in terms of other variables using multiplication or division: Basic

Just a simple one-step procedure to isolate the chosen variable.

From  Tom Grant 10 plays 0