## Fundamentals of Algebra

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Algebra is a division of mathematics designed to help solve certain types of problems quicker and easier. Algebra is based on the concept of unknown values called variables, unlike arithmetic which is based entirely on known number values. Just as sentences describe relationships between specific words, in algebra, equations describe relationships between variables. This text introduces an important algebraic concept. The purpose of this book is to provide a concise yet detailed account of fundamental concepts in modern algebra

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols represent quantities without fixed values, known as variables. Math cannot be fully understood or learned well without practicing. Algebra is no different. If you just remember all the rules and procedures without truly understanding the concepts, you will no doubt have difficulty learning algebra. Algebra can begin to make sense with the determination to take small steps, practice and increase the difficulty in the types of equations you solve in a step-by-step sequential process. Sometimes it helps to treat algebra like driving a car. You learn to drive with practice and there are certain rules to follow, knowing the rules makes driving easier and you avoid making mistakes. Algebra requires you to apply certain rules and the better you become at following the rules - which takes practice, the better you become a solving algebraic equations. Too often students think of algebra as an abstract topic completely disconnected from the real world. This may in part be attributed to the way in which many algebra curricula are written or presented, causing students to see the subject as valueless. Fortunately, real-life applications of algebra objectives abound, and learners can investigate them throughout the course. Interpreting and solving problems involving ratios, proportions and percents comprises another objective of algebra. Real-world scenarios in this genre can easily be created around the idea of store sales. Types of problems could include determining the percent off, percent saved, new cost or original cost. There are many additional real-life applications of algebra objectives. Exponential growth and decay functions connect to a wide variety of topics such as interest rates, population studies and bacteriology and medicine. Algebra objectives related to proportions may be used by cooks baking loaves of bread or dieters counting calories. This book explains how to do elementary algebra problems, solve equations and solve verbal problems.