Finding the Length of the Third Side of a Right Triangle
The Pythagorean Theorem can also be used to determine the length of the hypotenuse given the length of the legs, or the length of a leg given the length of the hypotenuse and the other leg. The formula is demonstrated for both purposes.
Identities for Addition and Multiplication Defined
An equation is a statement that two quantities are equal. Explanation of an identity equation and identifying a statement that is not an equation.
Midpoint Formula, The
The midway formula can be used to find the coordinates of a point that is half way between two given points.
Multiplying Rational Expressions
Demonstration of the procedure for multiplying rational expressions.
More than One Base Inside Parentheses
Simplifying an expression with more than one base contained within parentheses.
Practical Problem: Finding Average Speed
Complex fractions often appear in formulas used to solve problems. A practical problem involving the rate, time, and distance formula illustrates working with complex fractions.
Practical Problem: The Amount of Weight a Shelf Can Hold
The amount of weight a shelf can hold varies with the length, width, and thickness of the board. Finding how much weight a specific board can hold combines direct, joint, and inverse variation and is illustrated here.
Rewriting Radical Notation Using Rational Exponent Form
Finding the value of a radical by writing it in rational exponent form.
Guidelines for Simplifying Radicals
The guidelines for simplifying radicals include simplifying any perfect square in the radicand and assuring that each term in a radical expression has no more than one radical.
Practical Problem: Finding Volume
A practical problem about volume is solved using division of a rational expression.