Algebra can be like a foreign language, but ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the "why" behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy, ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, will guide you through an integrated learning process that will expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Feel confident about your skills through additional practice in the text and Enhanced WebAssign. With ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, algebra will make sense because it is not just about the x...it's also about the WHY.
Product dimensions: 8.40 (w) x 10.90 (h) x 1.40 (d)
Meet the Author
: Alan Tussy teaches all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books-a paperback series and a hard-cover series. An extraordinary author, he is dedicated to his students' success, relentlessly meticulous, creative, and a visionary who maintains a keen focus on his students' greatest challenges. Alan received his Bachelor of Science degree in Mathematics from the University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught up and down the curriculum from prealgebra to differential equations. He is currently focusing on the developmental math courses. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges.
R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.
1. AN INTRODUCTION TO ALGEBRA. Introducing the Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers; Multiplication and Division Properties. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test. Group Project. 2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Solving Equations Using Properties of Equality. More about Solving Equations. Applications of Percent. Formulas. Problem Solving. More about Problem Solving. Solving Inequalities. Chapter Summary and Review. Chapter Test. Group Project. 3. GRAPHING LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS. Graphing Using the Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope and Rate of Change. Slope-Intercept Form. Point-Slope Form. Graphing Linear Inequalities. An Introduction to Functions. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination (Addition). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 5. EXPONENTS AND POLYNOMIALS. Rules for Exponents. Zero and Negative Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Polynomials. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 6. FACTORING AND QUADRATIC EQUATIONS. The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form ax2 + bx + c. Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Proportions and Similar Triangles. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 8. TRANSITION TO INTERMEDIATE ALGEBRA. Review of Solving Linear Equations, Formulas, and Linear Inequalities; Applications. Functions. Graphs of Functions. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Review of Factoring Methods: GCF, Grouping, Trinomials. Review of Factoring Methods: The Difference of Two Squares; The Sum and Difference of Two Cubes. Review of Rational Expressions and Rational Equations; Rational Functions. Variation. Chapter Summary and Review. Chapter Test. Group Project. 9. RADICAL EXPRESSIONS AND EQUATIONS. Radical Expressions and Radical Functions. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Geometric Applications of Radicals. Complex Numbers. Chapter Summary and Review. Chapter Test. Group Project. 10. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. The Square Root Property and Completing the Square. The Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic Functions and Their Graphs. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Algebra and Composition of Functions. Inverse Functions. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary and Review. Chapter Test. Group Project. 12. MORE ON SYSTEMS OF EQUATIONS. Solving Systems of Equations in Two Variables; Applications. Solving Systems of Equations in Three Variables. Problem Solving Using Systems of Three Equations. Solving Systems of Equations Using Matrices. Solving Systems of Equations Using Determinants. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 13. CONIC SECTIONS; MORE GRAPHING. The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Group Project. 14. MISCELLANEOUS TOPICS. The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. Appendix 1: Roots and Powers. Appendix 2: Synthetic Division. Appendix 3: Answers to Selected Problems.
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More About This Textbook
Overview
Algebra can be like a foreign language, but ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the "why" behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy, ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, will guide you through an integrated learning process that will expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Feel confident about your skills through additional practice in the text and Enhanced WebAssign. With ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, algebra will make sense because it is not just about the x...it's also about the WHY.
Product Details
Meet the Author
: Alan Tussy teaches all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books-a paperback series and a hard-cover series. An extraordinary author, he is dedicated to his students' success, relentlessly meticulous, creative, and a visionary who maintains a keen focus on his students' greatest challenges. Alan received his Bachelor of Science degree in Mathematics from the University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught up and down the curriculum from prealgebra to differential equations. He is currently focusing on the developmental math courses. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges.
R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.
Table of Contents
1. AN INTRODUCTION TO ALGEBRA. Introducing the Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers; Multiplication and Division Properties. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test. Group Project. 2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Solving Equations Using Properties of Equality. More about Solving Equations. Applications of Percent. Formulas. Problem Solving. More about Problem Solving. Solving Inequalities. Chapter Summary and Review. Chapter Test. Group Project. 3. GRAPHING LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS. Graphing Using the Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope and Rate of Change. Slope-Intercept Form. Point-Slope Form. Graphing Linear Inequalities. An Introduction to Functions. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination (Addition). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 5. EXPONENTS AND POLYNOMIALS. Rules for Exponents. Zero and Negative Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Polynomials. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 6. FACTORING AND QUADRATIC EQUATIONS. The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form ax2 + bx + c. Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Proportions and Similar Triangles. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 8. TRANSITION TO INTERMEDIATE ALGEBRA. Review of Solving Linear Equations, Formulas, and Linear Inequalities; Applications. Functions. Graphs of Functions. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Review of Factoring Methods: GCF, Grouping, Trinomials. Review of Factoring Methods: The Difference of Two Squares; The Sum and Difference of Two Cubes. Review of Rational Expressions and Rational Equations; Rational Functions. Variation. Chapter Summary and Review. Chapter Test. Group Project. 9. RADICAL EXPRESSIONS AND EQUATIONS. Radical Expressions and Radical Functions. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Geometric Applications of Radicals. Complex Numbers. Chapter Summary and Review. Chapter Test. Group Project. 10. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. The Square Root Property and Completing the Square. The Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic Functions and Their Graphs. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Algebra and Composition of Functions. Inverse Functions. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary and Review. Chapter Test. Group Project. 12. MORE ON SYSTEMS OF EQUATIONS. Solving Systems of Equations in Two Variables; Applications. Solving Systems of Equations in Three Variables. Problem Solving Using Systems of Three Equations. Solving Systems of Equations Using Matrices. Solving Systems of Equations Using Determinants. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 13. CONIC SECTIONS; MORE GRAPHING. The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Group Project. 14. MISCELLANEOUS TOPICS. The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. Appendix 1: Roots and Powers. Appendix 2: Synthetic Division. Appendix 3: Answers to Selected Problems.