Search for tag: "thirds"

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  

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  

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  

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  

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

This describes the process of solving for a particular variable in terms of other variables in an equation. There is a need to go further to combine like terms before it is complete.

From  Tom Grant 18 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  

Solving a two-step equation with integers

It's just what the title says. We use opposite operations on one side to eliminate values that are with the variable and perform the same operations to the other side of the equals sign to keep…

From  Tom Grant 4 plays 0  

Converting between radical form and exponent form

Shows how these forms are interrelated

From  Tom Grant 9 plays 0  

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

Here we solve a rational equation by multiplying each of the terms in the equation by the LCD of all of the fractions. This allows us to divide to one all of the factors in the denominators and the…

From  Tom Grant 10 plays 0  

Finding the roots of a quadratic equation with leading coefficient greater than 1

This is a quadractic equation that can be factored to solve it. The zero product property allows writing the factors each equal to 0 and then solving those linear equatioins.

From  Tom Grant 11 plays 0  

Graphing a function of the form f (x) = ax + b: Fractional slope

Shows how thits form is simply the same as y = mx + b, and then writes the slope and y-intercpt down. It ends with using these to graph the line of points that satisfy this function.

From  Tom Grant 98 plays 0  

Multiplicative property of equality with signed fractions

Multiplying both sides by the reciprocal of the variable's coefficient in order to get the variable alone and keep the equation balanced.

From  Tom Grant 55 plays 0  

Order of operations with fractions: Problem type 1

A description of the process for dividing frations.

From  Tom Grant 22 plays 0  

Fraction division

Just a short application of the "keep, change, flip" technique.

From  Tom Grant 25 plays 0  

Division involving a whole number and a fraction

Uses the keep, change, flip mnemonic to demonstrate how you change all divisions of fractions to a multiplication of related fractions.

From  Tom Grant 13 plays 0  

Fraction multiplication

Shows reducting fractions to be multiplied together ahead of the multiplication so that littlle or no reduction is needed at the end of the calculation.

From  Tom Grant 14 plays 0