Search for tag: "expression"

Simplifying a radical expression with an odd exponent

Shows how to separate out the persct square so they can become whole numbers or expression leaving the remaining factors under the square root.

From  Tom Grant 18 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  

Complex fraction made of sums involving rational expressions: Problem type 1

Simplifies a complex fraction by multiplying the top and bottom by the common denominator of the smaller fractions so their denominators can be eliminated. Further simplification is considered.

From  Tom Grant 20 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  

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 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 14 plays 0  

Quotient rule with negative exponents: Problem type 2

A multi-variable fraction that is reduced by applying the quotient rule and the definition of a negative exponent.

From  Tom Grant 4 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  

Power and quotient rules with positive exponents

A simplification of a fraction with products and exponents in parentheses raised to an external power

From  Tom Grant 7 plays 0  

Product rule with positive exponents: Multivariate

A straightforward examplel of a simplification using the product rule for exponents.

From  Tom Grant 14 plays 0  

Table for a linear equation

Shows how to find outputs for several inputs reslulting in a set of points (x, y)

From  Tom Grant 10 plays 0  

Writing a multi-step expression for a real-world situation

This demo takes some thought so you may want to watch it a few times to fully understand. Writing the expression and then we simplify it so that it is more usable in future.

From  Tom Grant 17 plays 0  

Solving a word problem with two unknowns using a linear equation.

This shows how to represent the two unknowns using their given relationship so that a linear equation can be written using one variable. Then that equation is solved to answer the question

From  Tom Grant 18 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  

Translating a phrase into a two-step expression

This video demonstrates how to change a description in words into an algebraic expression.

From  Tom Grant 23 plays 0