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.
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: Machines Working at Different Speeds
The procedure for developing an equation to solve a practical work problem involving machines working at different speeds is detailed. The unknown is identified and an equation is written, solved, and checked.
Practical Problem: Runners' Rate of Speed
The rate, time, and distance formula is used to solve a practical problem involving runners' rate of speed.
Practical Problem: How Much Weight Can One Beam Hold?
The amount of weight a beam can hold varies with its length, width, and thickness. The load capacity for a beam that is laying flat is compared with the load capacity for the same beam when it is placed on edge.
Equation That Has No Solution, An
An equation is found to have no solution after using the least common denominator to get a quadratic equation.
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.
Combining Direct, Joint, and Inverse Variation in a Problem
A problem combining direct, joint, and inverse variation is demonstrated and solved.
Estimating Radicals to Set a Safe Speed Limit
A practical problem involving setting a speed limit is solved that involves estimating radicals to find the value of an irrational solution.