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Multiplicative property of equality with whole numbers

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

From  Tom Grant 6 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  

Square root multiplication: Advanced

An example that is a little more complicated about how to simplify radicals that are being multiplied

From  Tom Grant 9 plays 0  

Solving for a variable in terms of other variables in a rational equation: Problem type 1

Demonstrates how to rearrange a proportion to isolate a chosen variable. Note that none of the variables are elliminated, simply moved to new positions.

From  Tom Grant 11 plays 0  

Finding the LCD of rational expressions with quadratic denominators

Factoring quadratics to find the LCD of two fractions in algebra

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  

Finding the value for a new score that will yield a given mean

Describes an algebraic method for finding what you need for your next score to achieve a certain average or mean.

From  Tom Grant 49 plays 0  

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

Another equation with fractions that we eliminate first by multiplying through by the LCD (least common denominator), and after that the rest is live others we've explained.

From  Tom Grant 14 plays 0  

Solving a proportion of the form (x + a)/b = c/d

Demonstrating why we can "cross muliply" a proportion to solve it, we then do that.

From  Tom Grant 18 plays 0  

Solving a linear equation with several occurrences of the variable: Variables on the same side

One type of equation you will have to know how to solve

From  Tom Grant 18 plays 0  

Order of operations with integers

Three quick examples that show the order in which we simplify different opertions in arithmetic.

From  Tom Grant 13 plays 0