Multiplying Two Factors with the Same Base
The rules for exponents begin with the rule for multiplying two factors with the same base.
Roots of Variables
Simplifying radicals with cube and other roots and variables.
Rationalizing the Denominator with Variables in the Radicand
Rationalizing the denominator with a variable in the radical is demonstrated.
Factoring a Denominator to Add Rational Expressions
The process of working with a rational expression that contains a quadratic trinomial in the denominator is illustrated.
Factoring Review
A review of factoring of numbers and polynomials.
Solve: 9x2 - 24x = -16
Practice solving an equation using the quadratic formula: 9x2 - 24x = -16.
Multiplying Rational Expressions
Demonstration of the procedure for multiplying rational expressions.
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.
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.