Solving Equations That Include Rational Expressions
To solve an equation with a rational expression, rewrite the equation to get rid of the fractions then solve the new equation. The same process is used to solve linear equations that contain rational expressions. If the solution makes any denominato...
Practical Problem: How Fast Can Two Workers Mow a Lawn?
A practical problem compares the rate at which two park workers mow the lawn and asks how much lawn the two can mow in an hour. The question is answered by adding rational expressions.
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.
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.
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.
Additional Problem That Requires Factoring, An
A shortcut for working with rational expressions with a denominator that need to be factored is presented.
Equation with Binomials in the Denominators, An
The solution to an equation with binomials in the denominators is detailed and checked.
Equation with No Solution, An
An equation with binomials in the denominators is solved. When the solution is checked, we find that it is not an allowable solution.
Evaluating a Rational Expression in which m = 4 Compared with the Same Expression in which m = -4
Comparison of the results of evaluating an expression in which the variable is substituted with 4 and then with -4.