Beginning and Intermediate Algebra

Description

Building a Better Path to Success! Connecting Knowledge - Sherri prepares her students for success by refreshing their knowledge of arithmetic. By helping students see the connection between arithmetic and algebra, Sherri found that her students were more confident in their abilities as they progressed through the course. This classroom tested practice was integrated into the texts so that both instructors and students could benefit. Messersmith accomplishes this by including arithmetic examples for most sections before the use of algebraic examples. Also, the author has developed through classroom use a series of Basic Skills Worksheets that can easily be integrated into the classroom. Presenting Concepts in "Bite Size" Pieces - By breaking down the sections into manageable pieces, the author has identified the core places where students traditionally struggle and then assists them in understanding that material to be successful moving forward. Mastering Concepts - With the textbook and Connect Mathematics hosted by ALEKS, a new online homework and assessment tool, students can practice and master their understanding of algebraic concepts. Messersmith is rigorous enough to prepare students for the next level yet easy to read and understand. The exposition is written as if a professor is teaching in a lecture to be more accessible to students. The language is mathematically sound yet easy enough for students to understand. Title Table of Contents 1. The Real Number System and Geometry 1.1 Review of Fractions 1.2 Exponents and Order of Operations 1.3 Geometry Review 1.4 Sets of Numbers and Absolute Value 1.5 Addition and Subtraction of Real Numbers 1.6 Multiplication and Division of Real Numbers 1.7 Algebraic Expressions and Properties of Real Numbers Summary Review Exercises Test 2. The Rules of Exponents 2.1 Basic Rules of Exponents 2.1a The Product Rule and Power Rules 2.1b Combining the Rules 2.2 Integer Exponents 2.2a Real-Number Bases 2.2b Variable Bases 2.3 The Quotient Rule Putting It All Together 2.4 Scientific Notation Summary Review Exercises Test Chapters 1–2 3. Linear Equations and Inequalities 3.1 Solving Linear Equations Part I 3.2 Solving Linear Equations Part II 3.3 Applications of Linear Equations 3.4 Applications Involving Percentages 3.5 Geometry Applications and Solving Formulas 3.6 Applications of Linear Equations to Proportions, Money Problems, and d � rt 3.7 Solving Linear Inequalities in One Variable 3.8 Solving Compound Inequalities Summary Review Exercises Test Chapters 1–3 4. Linear Equations in Two Variables 4.1 Introduction to Linear Equa-tions in Two Variables 4.2 Graphing by Plotting Points and Finding Intercepts 4.3 The Slope of a Line 4.4 The Slope-Intercept Form of a Line 4.5 Writing an Equation of a Line 4.6 Introduction to Functions Summary Review Exercises Test Chapters 1–4 5. Solving Systems of Linear Equations 5.1 Solving Systems by Graphing 5.2 Solving Systems by the Substitution method 5.3 Solving Systems by the Elimination Method Putting It All Together 5.4 Applications of Systems of Two Equations 5.5 Solving Systems of Three Equations and Applications Summary Review Exercises Test Chapters 1–5 6. Polynomials 6.1 Review of the Rules of Exponents 6.2 Addition and Subtraction of Polynomials 6.3 Multiplication of Polynomials 6.4 Division of Polynomials Summary Review Exercises Test Chapters 1–6 7. Factoring Polynomials 7.1 The Greatest Common Factor and Factoring by Grouping 7.2 Factoring Trinomials of the Form x2 + bx + c 7.3 Factoring Trinomials of the Form ax2 + bx + c(a - 1 ) 7.4 Factoring Special Trinomials and Binomials Putting It All Together 7.5 Solving Quadratic Equations by Factoring 7.6 Applications of Quadratic Equations Summary Review Exercises Test Chapters 1–7 8. Rational Expressions 8.1 Simplifying Rational Expressions 8.2 Multiplying and Dividing Rational Expressions 8.3 Finding the Least Common Denominator 8.4 Adding and Subtracting Rational Expressions Putting It All Together 8.5 Simplifying Complex Fractions 8.6 Solving Rational Equations 8.7 Applications of Rational Equations Summary Review Exercises Test Chapters 1–8 9. More Equations and Inequalities 9.1 Solving Absolute Value Equations 9.2 Solving Absolute Value Inequalities 9.3 Solving Linear and Compound Linear Inequalities in Two Variables 9.4 Solving Systems of Linear Equations Using Matrices Summary Review Exercises Test Chapters 1–9 10 .Radicals and Rational Exponents 10.1 Finding Roots 10.2 Rational Exponents 10.3 Simplifying Expressions Containing Square Roots 10.4 Simplifying Expressions Containing Higher Roots 10.5 Adding, Subtracting, and Multiplying Radicals 10.6 Dividing Radicals Putting It All Together 10.7 Solving Radical Equations 10.8 Complex Numbers Summary Review Exercises Test Chapters 1–10 11. Quadratic Equations 11.1 Review of Solving Equations by Factoring 11.2 The Square Root Property and Completing the Square 11.3 The Quadratic Formula Putting It All Together 11.4 Equations in Quadratic Form 11.5 Formulas and Applications Summary Review Exercises Test Chapters 1–11 12. Functions and Their Graphs 12.1 Relations and Functions 12.2 Graphs of Functions and Transformations 12.3 Quadratic Functions and Their Graphs 12.4 Applications of Quadratic Functions and Graphing Other Parabolas 12.5 The Algebra of Functions 12.6 Variation Summary Review Exercises Test Chapters 1–12 13. Exponential and Logarithmic Functions 13.1 Inverse Functions 13.2 Exponential Functions 13.3 Logarithmic Functions 13.4 Properties of Logarithms 13.5 Common and Natural Logarithms and Change of Base 13.6 Solving Exponential and Logarithmic Equations Summary Review Exercises Chapter 13: Test Chapters 1–13 14. Conic Sections, and Nonlinear Nonlinear Inequalities, Systems 14.1 The Circle 14.2 The Ellipse and the Hyperbola Putting It All Together 14.3 Nonlinear Systems of Equations 14.4 Quadratic and Rational Inequalities Summary Review Exercises Test Chapters 1–14 15. Sequences and Series 15.1 Sequences and Series 15.2 Arithmetic Sequences and Series 15.3 Geometric Sequences and Series 15.4 The Binomial Theorem Summary Review Exercises Test Chapters 1–15 APPENDIX: Beginning Algebra Review A1: The Real Number System and Geometry A2: The Rules of Exponents A3: Linear Equations and Inequalities A4: Linear Equations in Two Variables A5: Solving Systems of Linear Equations A6: Polynomials A7: Factoring Polynomials A8: Rational Expressions Answers to Exercises Credits Index