# Search for tag: "instance"

#### Solving an equation of the form x^2 = a using the square root property

Discusses the square root property, then encourages the viewer to write a list of perfect squares in the marginfor reference. Lasly, three examples are presented and solved.

From  Tom Grant 7 plays 0

#### Introduction to adding fractions with variables & common denominators

A quick presentation of why we only add the numerators of fractions with common denominators, and then a quick example of adding two fractions with the same denominator.

From  Tom Grant 9 plays 0

#### Dividing rational expressions involving multivariate monomials

A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…

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

#### Identifying solutions to a linear equation in two variables

A demo that shows how to substitute possible x-y ordered pairs into an equation to find out whether they create a true statement, determining which are solutions and which are not.

From  Tom Grant 22 plays 0

#### Reading a point in the coordinate plane

Just a short demo of how read the location of an (x, y) point on a Cartesian coordinate graph

From  Tom Grant 14 plays 0

#### Multiplicative property of inequality with integers

This states the Multiplicative Propery of Inequality, then demonstates how it works with two examples.

From  Tom Grant 18 plays 0

#### Multiplication of 3 or 4 integers

A review of the sign rules for multiplication and three examples to demonstrate these.

From  Tom Grant 9 plays 0

#### Rationalizing a denominator: Square root of a fraction

This discusses what rationals and irratioinals are, then goes on to demonstrate how to eliminate any radical number in the denominator.

From  Tom Grant 8 plays 0

#### Complex fraction with negative exponents: Problem type 2

This demonstrates how to convert negative exponents in a complex fraction to the reciprocal positive exponents and then use the LCD of all fractions to simplify.

From  Tom Grant 13 plays 0

#### Word problem involving the Pythagorean Theorem

Application of the equation relating the three sides of a right triangle:: a^2 + b^2 = c^2 where a and b are the shorter sides that make the rigiht angle and c is the lenght of the longest side.

From  Tom Grant 18 plays 0

#### Factoring a product of a quadratic trinomial and a monomial

A two step process is shown here. First, as always, look for a greatest common factor (GCF) and remove it from all terms. Then second, the resulting quadratic expresssion can then be factored into…

From  Tom Grant 27 plays 0

#### Identifying solutions to a linear inequallity in two variables

Just an exercise in testing whether an ordered pair makes an inequality statement true when plugged in for the variables.

From  Tom Grant 11 plays 0

#### Graphing a parabola of the form y=ax^2

Demonstrates how to make t his graph per instructions, and also shows how to deal with a fractional leading coefficient.

From  Tom Grant 13 plays 0

#### Solving for a variable in terms of other variables using multiplication or division: Advanced

A second example of how to use multiplication or division to isolate a chosen variable in a formula.

From  Tom Grant 16 plays 0

#### Multiplicative property of equality with integers

Describes multiplying or dividing both sides of an quationn by the same value in order to get the variable alone on one side

From  Tom Grant 12 plays 0