294 b Algebra is used in many aspects of the financial decisions we make including the interest we pay on student loans. 6 Sections 6. 1 Order of Operations and Solving Linear Equations 6. 2 Formulas and Modeling 6. 3 Applications of Algebra 6. 4 Variation 6. 5 Solving Linear Inequalities 6. 6 Graphing Linear Equations 6. 7 Solving Systems of Linear Equations 6. 8 Linear Inequalities in Two Variables and Systems of Linear Inequalities 6. 9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula 6. 10 Functions and Their Graphs Algebra is one of the most practical tools available to us for solving everyday problems. For example, we use algebra when we calculate the sales tax on purchases. We use a formula to calculate the compound interest that we earn when investing our money. We also use a formula to calculate the interest that we pay when we borrow money for a student loan, a car loan, or a home mortgage. The coordinate system we use when graphing is similar to the coordinate system we use on maps. The distance we travel can be determined by a formula relating our rate of speed and our time traveled. The symbolic nature of algebra allows us to represent problems in a simple and compact manner. This makes algebra an excellent tool for solving a wide variety of problems that we face in our everyday lives. Why This Is Important Algebra, Graphs, and Functions Michaeljung/Shutterstock
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