Some Problems are More Easily Solved Using Two Variables
A practical problem is presented that demonstrates a situation in which two variables and a system of equations is the easiest way to reach a solution.
Review of Techniques for Solving Systems of Equations
Review of techniques that can be used in solving systems of equations, including the elimination method and the substitution method.
Practical Problem: Two Solutions for a Work Problem
A practical work problem that requires finding out how long it will take two workers with different work speeds to complete a task is solved using an equation with a rational expression. Two different approaches to finding the solution to this probl...
Practical Problem: Two solutions for a Pool Problem
A work problem is presented to determine how long it will take to fill a pool that has an open drain.
Practical Problem: Wages of an Electrician and an Apprentice
Using the elimination method of calculate the hourly pay rates of an electrician and his apprentice on two different jobs given the total cost of each job.
Recognizing Terms in an Expression
Identifying terms within an algebraic expression.
Factoring Problems
Factoring polynomials using three examples to practice procedures and techniques. Be sure the polynomial has been simplified before factoring. Remember that some expressions are not factorable.
Factoring by Inspection
Sometimes the greatest common factor is immediately recognizable. Definition and demonstration of factoring by inspection.
Factoring with (-1) to Rewrite a Polynomial
Factoring with negative numbers. Using negative one to change the signs of each term in an expression.
More About Using Least Common Multiples
The least common multiple strategy reveals a system of equations that has not solution.