# Search for tag: "expressions"

#### 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 5 plays 0

#### Translating a sentence into a multi-step equation

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

From  Tom Grant 6 plays 0

#### Multiplicative property of equality with whole numbers

A quick statement of the property followed by two examples of its use.

From  Tom Grant 5 plays 0

#### Additive property of equality with whole numbers

A short demo involving subtracting whole numbers from both sides of an equation. There are two examples.

From  Tom Grant 4 plays 0

#### Rationalizing a denominator: Quotient involving a monomial

Two quick demonstratoins of a rational expression containing radicals being ratioinalized by multiplication of a form of one to transform a radical in the denominantor to a whole number.

From  Tom Grant 8 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 10 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 11 plays 0

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

Demonstrations that emphasize the fact that a fraction bar acts like parentheses in that the each part of the fraction must be factored so that there is a product of factors on both top and bottomof…

From  Tom Grant 9 plays 0

#### Special products of radical expressions: Conjugates and squaring

A demonstration of squaring a binomial with radical terms and then a second example showing how conjugate binomials can be multiplied.

From  Tom Grant 9 plays 0

#### Introduction to simplifying a product of radical expressions: Univariate

Some simpler examples of square root multiplication

From  Tom Grant 10 plays 0

#### Simplifying a radical expression with two variables

Two examples of simplifying expressions under a square root symbol to "liberate" as many factors as possible

From  Tom Grant 7 plays 0

#### Complex fractions: GCF factoring

Demonstrates how to reduce a complex fraction when the technique of factoring a greatest common factor (GCF) is needed.

From  Tom Grant 10 plays 0

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 8 plays 0

#### Adding rational expressions with denominators ax - b and b - ax

Describes how to deal with denominators that are simply opposite in sign when adding or subtracting fractional expressions.

From  Tom Grant 9 plays 0

#### Adding rational expressions with denominators ax and bx: Basic

Demonstrates how to adjuxt fractional algebra so that the fractions can be added together

From  Tom Grant 9 plays 0

#### Finding the LCD of rational expressions with linear denominators: Common factors

This shows how to find the least common denominator of two fractions, nothing more.

From  Tom Grant 8 plays 0