Algebra: Practical Guide & Workbook Exercises Fully Solved With Step By Step Explanation

First of all, thank you for visiting my book page. I hope you will find interest this book presentation and you will try my Practical Algebra Workbook. If it will like and you found it useful (I'm sure) ,please leave your review, I will take into account your comments and suggestions. Below at section "From Publisher" you will find some extract pages of exercises and solution in the book.Now I introduce myself and which are the main feature this book provide:I'm Sarah Nencini, math teacher for high school with more than 20 years of experience. This my workbook, provides an effective method for improving the practice skills of Math and Algebra of the students and it is a valid support to the parents who want help their children. It is both an useful practical guide covering all the Pre-Algebra and Algebra Topics and an Effective Workbook containing a wide cases of exercises to solve for each Topic. The exercises to solve are contained in different tables where each row contains both the operation to solve and the related step by step solution with explanation.The book's front cover shows exactly an example of a Table exercises and Solutions.How to use the workbook: Each chapter covers a specific topic and it contains three paragraphs:Rules & Properties: the reader will find the explanation of the properties, how to apply them, how to solve problems and expressions by providing many examples, tricks etcProblems to solve: the reader will find the exercises to solve, with spaces to insert his solution, so he can check if it is right by comparing it with the exact one in the next paragraph "Problem Solution".Problems Solutions: Here, for each exercise in the previous paragraph, (problems to solve) , the reader will find the right solution with the related step by step explanation.Chapters of the book : Divisibility of Numbers, Integers, Factorization, Prime and Composite Numbers, Prime Factorization, Greatest Common Factor (GCF) , Least Common Multiple (LCM) , Fractions Decimals, Percents, Integer Exponents, Order Of Operation (PEMDAS) , Rational Exponents, Polynomials, Binomials, Radicals, Radical Expressions, Rational Expressions, Intro to Equations, Intro to Inequalities, Intro to Coordinate Plan, Linear Equations With One Variable, Absolute Value Equations, Rational Equation, Radical Equation, Quadratic Equations, Irrational Equations, Linear Equations & Functions, Systems of Equations, Systems of Linear and Quadratic Equations, Inequalities,Systems of Inequalities.Hereafter some examples about problem solving and explanation:Example 1: Solve the equation 2(x + 3) (x + 1) = x + 15 this equation is not in the normal form, so we convert it to the normal form ax² + bx + c = 0 (2x + 6) (x + 1) = x + 15 2x² + 2x + 6x + 6 = x + 15 2x² + 7x - 9 = 0 Now can solve the quadratic equation by means of the quadratic formula: -b ± √b² - 4ac ⁄ 2a 2x² + 7x -9 = 0 where a= 2, b=7, c= -9 Find now the discriminant Δ = √b² - 4ac (7) ² - 4(2) (-9) = 49 + 72 = 121 Since the discriminant is a positive number we will have two real different solutions We can now to find the equation solutions: x1, x2 = - b ± √ Δ ⁄ 2a x1, x2 = - (7) ± √121 ⁄ 2(2) x1, x2 = - 7 ± 11 ⁄ 4 x1 = -7 + 11 ⁄ 4 → x1 = 4 ⁄ 4 → x1 = 1 x2 = - 7 - 11 ⁄ 4 → x2 = - 18 ⁄ 4 → x2 = - 9 ⁄ 2 The solution of the equation are : x1 = 1 and x2 = - 9 ⁄ 2