# Search for tag: "ratio"

#### 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

#### 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 22 plays 0

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

Single fractions set equal to each other forms a proportion. When presented with this, it can be "cross multiplied" to eliminate the fractions. The resulting equation has a term with the…

From  Tom Grant 6 plays 0

#### Simplifying a ratio of factored polynomials: Linear factors

This shows the last step in simplifying a rational expression, i.e. dividing out factors that reduce to one.

From  Tom Grant 16 plays 0

#### Evaluating a rational function: Problem type 1

For an equation with f(x) equal to a rational expression, this shows how to write the substitution and simplification when putting in a particular value for x.

From  Tom Grant 7 plays 0

#### Simplifying a ratio of multivariate monomials: Basic

A quick example of reducing a fraction by dividing matching factors on the top and bottom.

From  Tom Grant 48 plays 0

#### Solving a distance, rate, time problem using a system of linear equations

Rate X Time = Distance problems are best organized by making a table with the columns labeled with the parts of the formula r x t = d and the different scenarios labeling the rows. Then the…

From  Tom Grant 29 plays 0

#### Identifying solutions to a system of linear equations

This demonstrates testing possible answers to a system of two equations to see whether they are truly answers or not. Note that each answer has to work for both equations, but if it doesn't…

From  Tom Grant 14 plays 0

#### Applying the percent equation: Problem type 1

Using the proportion %/100 = Amount/Base to plug in what's given to find what is asked for.

From  Tom Grant 14 plays 0

#### Plotting rational numbers on a number line

Just showing how to locate different fractions on a number l ine

From  Tom Grant 31 plays 0

#### Using Exponent Rules, Part 1

Shows how to convert factors with negative exponents into ones with positive exponents and then how to apply the product and quotient rules to combine the exponents of factors with the same base.

From  Tom Grant 158 plays 0

#### Solving Problems Modeled by Proportions

This video defines the terms ratio and proportion and then demonstrates how to use a proportion to solve an applicable word problem.

From  Tom Grant 767 plays 0