Search for tag: "equals"

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

This shows how to use the LCD of the two fractions that form a proportion to simplify the equation to a quadratic equation, then solve the quadratic by factoring and check the validity of the …

From  Tom Grant 10 plays 0  

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  

Solving rational equations that simplify to quadratic: Binomial denominators & numerators

A The key to solving this kind of equation is multiplying through by the least common denominator to eliminate the fractions first, Then it is a matter of combining like terms on one side of the…

From  Tom Grant 57 plays 0  

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  

Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators

The key to solving this equation is eliminating the fractions first by multiplying by the least common denominator and dividingout equal factors. Note that the integer term must be multiplied by…

From  Tom Grant 17 plays 0  

Solving an equation written in factored form

Starts with cautiioning against multiplying the factors back together and describes the zero product property to justify this warning. Then shows how to continue from the factored form to separate…

From  Tom Grant 15 plays 0  

Writing an equation in slope-intercept form given the slope and a point

This shows the method of using the point-slope form to write the equation, then solving that form for y to get y = mx + b.

From  Tom Grant 21 plays 0  

Graph a line given by first finding its x- and y-intercepts

This video describes why the method for finding the intercepts works, then demonstrates finding the intercepts for an example equation and graphing its line.

From  Tom Grant 21 plays 0  

Translating a sentence into a multi-step equation

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

From  Tom Grant 15 plays 0  

Solving for a variable inside parentheses in terms of other variables

This demonstrates two ways of dealing with a literal equation that has parentheses which adds an extra step in the process in the first method, bu t not the second.

From  Tom Grant 6 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  

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  

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

Squaring both sides of this equation means squaring a binomial. This is demonstrated by this video.

From  Tom Grant 26 plays 0  

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

This radical equation when sqaured to eliminate the sqaure root creates a quadratic equation that can then be solved by factoring.

From  Tom Grant 6 plays 0  

Solving for a variable in terms of other variables in a rational equation: Problem type 3

This one demonstrates how to eliminate the rational parts of the equation as usual, then gather the terms with the chosen variable on one side of the equal sign so that it can be factored to one…

From  Tom Grant 18 plays 0