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Beginning and Intermediate Algebra, 2e, by Messersmithis the first text in a series of future offerings in developmental mathematics. The author presents the content in bite-size pieces, focusing not only on learning mathematical concepts, but also explaining the why behind those concepts. For students, learning mathematics is not just about the memorization of concepts and formulas, but it is also about the journey of learning how to problem solve. By breaking the sections down into manageable chunks, the author has identified the core places where students traditionally struggle, and then assists them in understanding that material to be successful moving forward. Proven pedagogical features, such as You Try problems after each example, reinforce a student's mastery of a concept. While teaching in the classroom, Messersmith has created worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets to teach new content, and worksheets to reinforce/pull together different concepts. These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic. The author is also an extremely popular lecturer, and finds it important to be in the video series that accompany her texts. Finally, the author finds it important to not only provide quality, but also an abundant quantity of exercises and applications. The book is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.Messersmith mapping the journey to mathematical success!
Table of Contents
|The Real Number System and Geometry Section|
|Review of Fractions Section|
|Exponents and Order of Operations Section|
|Geometry Review Section|
|Sets of Numbers and Absolute Value Section|
|Addition and Subtraction of Real Numbers Section|
|Multiplication and Division of Real Numbers Section|
|Algebraic Expressions and Properties of Real Numbers|
|Variables and Exponents Section|
|Simplifying Expressions Section|
|The Product Rule and Power Rules for Exponents Section|
|Combining the Rules Section|
|Integer Exponents with Real-Number Bases Section|
|Integer Exponents With Variable Bases Section|
|The Quotient Rule Mid-Chapter Summary Section|
|Linear Equations and Inequalities Section|
|Solving Linear Equations Part I Section|
|Solving Linear Equations Part II Section|
|Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable Cost Section|
|Applications of Linear Equations to Percent Increase/Decrease and Investment Problems Section|
|Geometry Applications and Solving Formulas for a Specific Variable Section|
|Applications of Linear Equations to Proportions, d = rt, and Mixture Problems Section|
|Solving Linear Inequalities in One Variable Section|
|Solving Compound Inequalities|
|Linear Equations in Two Variables Section|
|Introduction to Linear Equations in Two Variables Section|
|Graphing by Plotting Points and Finding Intercepts Section|
|The Slope of a Line Section|
|The Slope-Intercept Form of a Line Section|
|Writing an Equation of a Line Section|
|Parallel and Perpendicular Lines Section|
|Introduction to Functions Section|
|Function Notation and Linear Functions|
|Solving Systems of Linear Equations Section|
|Solving Systems by Graphing Section|
|Solving Systems by Substitution Section|
|Solving Systems by the Elimination Method Mid-Chapter Summary Section|
|Applications of Systems of Two Equations Section|
|Systems of Linear Equations in Three Variables|
|Review of Rules of Exponents Section|
|Addition and Subtraction of Polynomials Section|
|Multiplication of Polynomials Section|
|Division of Polynomials|
|Factoring Polynomials Section|
|The Greatest Common Factor and Factoring by Grouping Section|
|Factoring Trinomials of the Form x^2 + bx + c Section|
|Factoring Polynomials of the Form ax^2 + bx + c (a not equal to 1) Section|
|Factoring Binomials and Perfect Square Trinomials Mid-Chapter Summary Section|
|Solving Quadratic Equations by Factoring Section|
|Applications of Quadratic Equations|
|Rational Expressions Section|
|Simplifying Rational Expressions Section|
|Multiplying and Dividing Rational Expressions Section|
|Finding the Least Common Denominator Section|
|Adding and Subtracting Rational Expressions Mid-Chapter Summary Section|
|Simplifying Complex Fractions Section|
|Solving Rational Equations Section|
|Absolute Value Equations and Inequalities Section|
|Solving Absolute Value Equations Section|
|Solving Absolute Value Inequalities Section|
|Linear Inequalities in Two Variables Section|
|Solving Systems of Equations Using Matrices|
|Radicals and Rational Exponents Section|
|Finding Roots Section|
|Rational Exponents Section|
|Simplifying Expressions Containing Square Roots Section|
|Simplifying Expressions Containing Higher Roots Section|
|Adding and Subtracting Radicals Section|
|Combining Multiplication, Addition, and Subtraction of Radicals Section|
|Dividing Radicals Section|
|Solving Radical Equations|
|Table of Contents provided by Publisher. All Rights Reserved.|