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Solving a quadratic equation by completing the square: Exact Answers

Two examples are shown here, one relatively easy, then one with some fractions involved.

From  Tom Grant 4 plays 0  

Word problem involving radical equations: Advanced

Demonstrates how to solve for a variable under the radical that needs to isolated first after entering the given value for the other variable in a formula.

From  Tom Grant 6 plays 0  

Solving a radical equation that simplifies to a quadratic equation: One radical, advanced

Describes how to approach solving a radical eqaution, then demonstrates the stepss needed. It finishes with a check of the answers, stressing that this is an essential step.

From  Tom Grant 13 plays 0  

Solving a word problem using a quadratic equation with irrational roots

Shows how to substitite the given value for the output variable, then rearranges the resulting equation in standard form. Values for a, b, and c are identified and then entered into the quadratic…

From  Tom Grant 30 plays 0  

Writing an equation and graphing a line given its slope and y-intercept

The informaton given here can be entered directly into the y = mx + b or slope-intercept form. Then the y-intercept is used as a starting point where you apply rise over run to the given slope to…

From  Tom Grant 6 plays 0  

Graph a line given its equation in slope-intercept form: Fractional slope

Another demo on how to use the y-intercept to start a graph of a linear equation and then use the slope to find other points on the graph. It finishes with showing the line representing all of the…

From  Tom Grant 8 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  

Graphing a line given its equation in slope-intercept form: Integer slope

This explains how to use the slope and y-intercept to determine points on the line graph of a linear equation in two variables and then draws the straight line graph.

From  Tom Grant 10 plays 0  

Solving a compound linear inequality: Graph solution, basic

Presents a compound inequality where both sides have to be solved for the variable first, and then shows how to graph the simplified results

From  Tom Grant 14 plays 0  

Solving a two-step linear inequality with a fractional coefficient

This contains one example of solving an inequality as described in the title.

From  Tom Grant 16 plays 0  

Writing a compound inequality given a graph on the number line

A quick demonstration of how to interpret a line graph of a compound inequality and write its algebraic form.

From  Tom Grant 8 plays 0  

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

An examplel of how to rearrange a formula to better suit its particular purpose. Often we need to do this because it is easier to rearrange it once instead of having to solve for a variable each…

From  Tom Grant 6 plays 0  

Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution

A somewhat fancierversion of seveal solving equation versions that should help solidify the process in your mind.

From  Tom Grant 11 plays 0  

Addition and subtraction with 3 integers

This describes how integers interact when combined, treating minus signs as a negative sign on the number and thinking that all of the integers are being added with negatives and postives working in…

From  Tom Grant 11 plays 0  

Solving a radical equation that simplifies to a linear equation:One radical, basic

Two examples that show different possible results from solving a radical equation. You must always check the answer to these.

From  Tom Grant 15 plays 0  

Converting between radical form and exponent form

Shows how these forms are interrelated

From  Tom Grant 9 plays 0