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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  

Finding the LCD of rational expressions with quadratic denominators

Each denominator is factored and then any common factor is used only once and all other unique factors complete the LCD

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  

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  

Multiplying binomials with negative coefficients

A quick F.O.I.L. pattern to multiply two binomails. One of the variable terms is negative.

From  Tom Grant 19 plays 0  

Identifying parallel and perpendicular lines from equations

This shows how to transform all given equation that are not in slope-intercept form and then pick out the slopes of all three given lines and compare them to see if they are parallel, perpendicular…

From  Tom Grant 13 plays 0  

Solving for a variable in terms of other variables in a linear equation with fractions

This describes the process of solving for a particular variable in terms of other variables in an equation. There is a need to go further to combine like terms before it is complete.

From  Tom Grant 18 plays 0  

Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution

A somewhat fancierversion of seveal solving equation versions that should help solidify the process in your mind.

From  Tom Grant 11 plays 0  

Using distribution and combining like terms to simplify: Univariate

This demonstrates using distribution of multiplication across addition or subtraction then shows how to pick like terms and combine them.

From  Tom Grant 17 plays 0  

Finding the x-intercepts, the y-intercept, and the vertex of a parabola

This demonstrates how to find these values for a quadratic equation of the form y = ax^2 + bx + c.

From  Tom Grant 20 plays 0  

Solving a radical equation that simplifies to a quadratic equation: One radical, advanced

Squaring both sides of this equation means squaring a binomial. This is demonstrated by this video.

From  Tom Grant 27 plays 0  

Solving a radical equation that simplifies to a quadratic equation: One radical, basic

This radical equation when sqaured to eliminate the sqaure root creates a quadratic equation that can then be solved by factoring.

From  Tom Grant 6 plays 0  

Simplifying a quotient involving a sum or difference with a square root

This demonstrates creating a multiplication in the numerator of a rational expression that will allow the expression to be reduced by dividing like factors to simply one

From  Tom Grant 11 plays 0  

Special products of radical expressions: Conjugates and squaring

This demonstrates the squaring of a binomial with radical terms and the multiplication of conjugates (sum and differences of the same terms)

From  Tom Grant 15 plays 0  

Square roots of a perfect square monomial

Shows how to create squares under the square root so that both the exponent of two and the square root will elminiate each other.

From  Tom Grant 13 plays 0  

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

Here we solve a rational equation by multiplying each of the terms in the equation by the LCD of all of the fractions. This allows us to divide to one all of the factors in the denominators and the…

From  Tom Grant 10 plays 0