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Solving a rational equation that simplifies to quadratic: Proportional form, advanced

This shows how to use the LCD of the two fractions that form a proportion to simplify the equation to a quadratic equation, then solve the quadratic by factoring and check the validity of the …

From  Tom Grant 10 plays 0  

Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators

The key to solving this equation is eliminating the fractions first by multiplying by the least common denominator and dividingout equal factors. Note that the integer term must be multiplied by…

From  Tom Grant 17 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  

Adding rational expressions with multivariate monomial denominators: Basic

This example shows how to factor each denominator and then determine which of these factors are needed to create the least common denominator (LCD). Then the fractions are expanded by multiplying…

From  Tom Grant 6 plays 0  

Multiplying rational expressions made up of linear expressions

This is a quick example of factoring the numerator and denominator of a combined fraction where all the factors are separated in order to find those that divide to one.

From  Tom Grant 5 plays 0  

Multiplying rational expressions involving multivariate monomials

A short reminder of how to reduce first and then multiply two numerical fractions. Then we apply the same priciples to reducing like factors in an example with more than one variable and numerical…

From  Tom Grant 5 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  

Writing an equation in slope-intercept form given the slope and a point

This shows the method of using the point-slope form to write the equation, then solving that form for y to get y = mx + b.

From  Tom Grant 21 plays 0  

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

Demonstrates distribution when radicals are invovled.

From  Tom Grant 9 plays 0  

Introduction to simplifying a product of higher roots

A qucikc look at a simple fourth root of a combined pair of them, numbers only.

From  Tom Grant 7 plays 0  

Complex fraction involving univariate monomials

An explanation of two single fractions divided with monomial denominators and how to simplify them

From  Tom Grant 11 plays 0  

Adding rational expressions with multivariate monomial denominators: Advanced

Shows how to use the given factors of two different denominators and find the LCD then adjust the fractions so they can be added

From  Tom Grant 16 plays 0