Search for tag: "equation"

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 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 55 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 15 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  

Solving an exponential equation by finding common bases: Linear exponents

Shows how to create common bases so that then the exponents can be set equal to each other and that equation can be solved.

From  Tom Grant 22 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  

Solving a system of linear equations using elimination with addition

This talks about why we need two equations to solve for two unknown values, and then demonstrates how to add two equations together to eliminate one varaible and solve for the other one, then find…

From  Tom Grant 12 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  

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 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  

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  

Table for a linear equation

Shows how to find outputs for several inputs reslulting in a set of points (x, y)

From  Tom Grant 10 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