Multiplying by the Least Common Denominator to Get a Quadratic Equation
The steps involved in solving an equation by multiplying by the least common denominator to get a quadratic equation and checking the solution are detailed.
Solving an Equation with the Least Common Denominator: Practice Problem
A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.
Practical Problem: Runners' Rate of Speed
The rate, time, and distance formula is used to solve a practical problem involving runners' rate of speed.
Fractions Raised to a Power
Simplifying expressions in which a fraction is raised to a power.
Shortcut for Simplifying Radicals Before and After Multiplying
To avoid having to find perfect square factors for a large number by multiplying two radicals, first look for a common factor in the radicands that can be factored, then multiply.
Examples of Quadratic Equations
Quadratic equations can have one or two variables, but in simplest form all quadratic equations have exactly one variable raised to the second power. Examples of quadratic equations are presented.
Associative Law for Addition
The associative law for addition: (a b) c = a (b c).
Adding Rational Numbers with Different Denominators
In order to add or subtract rational expressions with different denominators, the least common denominator must be found and the fractions rewritten with the same denominator.
Adding Rational Expressions with Complicated Denominators
An example of adding rational expressions that have binomials and trinomials in the denominator is illustrated.
Adding Rational Expressions with Different Denominators
Rational expressions with different denominators are added and the procedure explained.