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Practical Algebra summary
Brief summary
Practical Algebra by Peter H. Selby is a comprehensive guide that breaks down algebraic concepts into easy-to-understand steps. It provides practical exercises and real-world examples to help you master algebra.
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Practical Algebra
Summary of key ideas
Understanding Algebra in Practical Terms
In Practical Algebra by Peter H. Selby, the author sets out to demystify the complex subject of algebra by presenting it in a practical and accessible way. He begins by explaining that algebra is not just about solving abstract equations, but rather it is a tool that helps us understand and solve real-world problems.
Selby introduces the fundamental concepts of algebra, such as variables, expressions, and equations, by using real-life examples. He illustrates how we can use algebraic expressions to represent and solve problems like calculating the area of a field, determining the cost of a shopping trip, or understanding the speed of a moving object.
Mastering the Basics: Numbers, Monomials, and Polynomials
The book then progresses to cover the basic building blocks of algebra: numbers, monomials, and polynomials. Selby explains the properties of numbers, including integers, fractions, and decimals, and how they relate to algebraic operations. He then delves into monomials and polynomials, teaching readers how to add, subtract, multiply, and divide these algebraic expressions.
Throughout the explanations, the author emphasizes the importance of understanding the underlying principles and not just memorizing formulas. He provides step-by-step examples and practice problems to reinforce learning and build confidence in handling algebraic expressions.
Factoring and Solving Equations
Next, Selby introduces the concept of factoring in algebra, demonstrating its significance in simplifying expressions and solving equations. He explains how to factor common monomials and polynomials, and how factoring can help in solving quadratic equations and inequalities.
Building on this foundation, the author then guides readers through the process of solving linear and fractional equations. He presents various methods, including the use of the distributive property, combining like terms, and clearing fractions, to help readers understand and master the art of equation solving.
Exploring Functions, Graphs, and Systems of Equations
In the latter part of the book, Selby shifts the focus to more advanced algebraic concepts, such as functions, graphs, and systems of equations. He explains the idea of a function as a rule that assigns each input a unique output, and demonstrates how to represent functions graphically and algebraically.
Furthermore, the author explores the concept of systems of equations and inequalities, showing how they can be used to model and solve real-world problems. He provides practical examples, such as mixture problems and geometric applications, to illustrate the relevance and application of these algebraic tools.
Practical Applications and Self-Assessment
To reinforce the practical nature of algebra, Selby includes numerous real-world applications and word problems throughout the book. These applications cover a wide range of fields, from physics and engineering to finance and business, highlighting the versatility of algebra in problem-solving.
To help readers gauge their understanding, each chapter concludes with a set of self-assessment exercises. These exercises allow readers to test their knowledge and skills, providing an opportunity for self-directed learning and improvement.
In conclusion, Practical Algebra by Peter H. Selby offers a comprehensive and practical approach to learning algebra. By presenting algebra as a powerful tool for solving real-world problems, the author aims to make the subject more engaging and relevant to a broader audience, ultimately helping readers develop a deeper understanding and appreciation for algebraic concepts.
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What is Practical Algebra about?
Practical Algebra by Peter H. Selby is a comprehensive guide that makes learning algebra easy and accessible. It covers all the fundamental concepts and techniques with clear explanations and practical examples. Whether you're a student looking to improve your algebra skills or an adult wanting to refresh your knowledge, this book will help you master algebra in a practical way.
Practical Algebra Review
Practical Algebra (1979) by Peter H. Selby equips readers with essential algebraic tools for practical application. Here's why this book stands out:
- It introduces clear explanations and intuitive examples, making complex algebra concepts easily understandable.
- Through its step-by-step problem-solving approach, it builds confidence and mastery in algebra skills.
- The book includes real-world scenarios where algebra is crucial, making the subject relevant and engaging for readers.
Who should read Practical Algebra?
Individuals looking to refresh their algebra skills
Students who want to build a strong foundation in algebra
Adult learners who need practical applications of algebra in their daily lives or careers
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Practical Algebra FAQs
What is the main message of Practical Algebra?
The main message of Practical Algebra is mastering algebra in a practical and straightforward way.
How long does it take to read Practical Algebra?
Reading Practical Algebra takes a few hours. The Blinkist summary can be read in around 15 minutes.
Is Practical Algebra a good book? Is it worth reading?
Practical Algebra is worth reading for its clear explanations and practical approach to mastering algebra.
Who is the author of Practical Algebra?
Peter H. Selby is the author of Practical Algebra.
What to read after Practical Algebra?
If you're wondering what to read next after Practical Algebra, here are some recommendations we suggest:
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