Solving equations is one of the most important mathematical skills you will learn. In order to solve a equation, you’ll need to manipulate it to isolate its variable. That isolation may require the application of one mathematical operation or rule, two operations/rules, or more than two operations/rules.
Some day-to-day situations in which you might have to use equations include: figuring out the amount a cab ride will cost you, determining the final cost of a restaurant bill with the tip included, and converting temperature from Celsius to Fahrenheit and vice versa.
In this chapter, you will learn how to apply math operations and rules to linear equations so that you can solve for a particular variable. You will also be introduced to ratio, proportion, percentage, and percent change problems.
This chapter begins with one-step equations involving addition, subtraction, multiplication, and division. It then moves on to more sophisticated equations that require two or multiple steps, including combining like terms, to solve. Concepts herein introduce equations that have variables on both sides of the equal sign. Ratios and proportions are discussed, along with problems that entail scales and indirect measurement. The chapter concludes with a thorough discussion of percentages, an introduction to the percent equation, and a collection of real-life problems that involve percent of change.