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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  

Graphing a parabola ofthe form y = ax^2 or y = ax^2 + c

Shows how to shoose appropriatate input values to find five points, then plot them and draw the graph.

From  Tom Grant 6 plays 0  

Rational exponents: Product rule

A simple demonstration of how the product rule forexponents still applies when the exponents are fractions

From  Tom Grant 12 plays 0  

Rational exponents: Unit fraction exponents and bases involving signs

Shows three examples of using a unit fraction as an exponent and coverting itt to its radical form sot the result can be further understood.

From  Tom Grant 22 plays 0  

Complex fraction made of sums involving rational expressions: Multivariate

Simplifies a complex fraction by distributing the LCD of each small fraction across the top and the bottom so that all small fractions can be swept away.

From  Tom Grant 14 plays 0  

Adding rational expressions involving different quadratic denominators

Adding ratioinal expressions with quadratic denominators requires factoring each denominator so that the LCD can be determined. Then each fraction is exapanded by multiplying the tops and the…

From  Tom Grant 6 plays 0  

Adding rational expressions with linear denominators with common factors: Basic

This shows how to determine a common denominator when the denominators share at least one factor. A numerical version is included for more understanding, and the rational expressions are added and…

From  Tom Grant 22 plays 0  

Dividing rational expressions involving multivariate monomials

A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…

From  Tom Grant 5 plays 0  

Simplifying a ratio of linear polynomials: 1, -1, and no simplification

This shows four examples just to cover a variety of "looks". There is at least one of each tyoe,

From  Tom Grant 11 plays 0  

Simplifying a ratio of polynomials using GCF factoring

This shows the results of factoring the GCF from the numerator and denominator of an algebraic fraction and then reducing using the division of identical factors resulting in replacing them with 1…

From  Tom Grant 10 plays 0  

Power and product rules with positive exponents

A short review of these two rules and then an application of them to two multi-factor expressions.

From  Tom Grant 8 plays 0  

Solving a compound linear inequality: Graph solution, basic

Presents a compound inequality where both sides have to be solved for the variable first, and then shows how to graph the simplified results

From  Tom Grant 14 plays 0  

Solving a two-step linear inequality with a fractional coefficient

This contains one example of solving an inequality as described in the title.

From  Tom Grant 16 plays 0  

Translating a sentence into a multi-step equation

Shows how to interpret a verbal description into an mathematical equation.

From  Tom Grant 15 plays 0  

Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution

A more complicated version of solving an equation. It specifically addresses dealing with two variable terms on the same side of the equals sigh.

From  Tom Grant 8 plays 0  

Identifying numbers as rational or irrational

A brief description of the difference between rational and irrational numbers followed by examples of number in both categories.

From  Tom Grant 21 plays 0