Intermediate Algebra
A Guided Approach
10th Edition
Published on 1. January 2014
Book
Paperback/Softback
896 pages
978-1-4354-6250-2 (ISBN)
Description
The new edition of INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. The authors have developed a learning plan to help students succeed in Intermediate Algebra and transition to the next level in their coursework. Based on their years of experience in developmental education, the accessible approach builds upon the book's known clear writing and engaging style which teaches students to develop problem-solving skills and strategies that they can use in their everyday lives. The authors have developed an acute awareness of students' approach to homework and present a learning plan keyed to Learning Objectives and supported by a comprehensive range of exercise sets that reinforces the material that students have learned setting the stage for their success.
Reviews / Votes
1. A REVIEW OF BASIC ALGEBRA. Reach for Success. The Real Number System. Arithmetic and Properties of Real Numbers. Exponents. Scientific Notation. Solving Linear Equations in One Variable. Using Linear Equations to Solve Applications. More Applications of Linear Equations in One Variable. Projects. Reach for Success Extension. Chapter Review. Chapter Test. 2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS. Reach for Success. Graphing Linear Equations. Slope of a Line. Writing Equations of Lines. Introduction to Functions. Graphing Other Functions. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-2. 3. SYSTEMS OF LINEAR EQUATIONS. Reach for Success. Solving Systems of Two Linear Equations in Two Variables by Graphing. Solving Systems of Two Linear Equations in Two Variables by Substitution and Elimination (Addition). Solving Systems of Three Linear Equations in Three Variables. Solving Systems of Linear Equations Using Matrices. Solving Systems of Linear Equations Using Determinants. Projects. Reach for Success Extension. Chapter Review. Chapter Test. 4. INEQUALITIES. Reach for Success. Solving Linear Inequalities in One Variable. Solving Absolute Value Equations and Inequalities in One Variable. Solving Linear Inequalities in Two Variables. Solving Systems if Linear and Quadratic Inequalities in Two Variables by Graphing. Solving Systems Using Linear Programming. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-4. 5. POLYNOMIALS, POLYNOMIAL FUNCTIONS, AND EQUATIONS. Reach for Success. Polynomial and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares; the Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Projects. Reach for Success Extension. Chapter Review. Chapter Test. 6. RATIONAL EXPRESSIONS. Reach for Success. Finding the Domain of Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Solving Equations Containing Rational Expressions. Dividing Polynomials. Synthetic Division. Proportion and Variation. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-6. 7. RADICAL EXPRESSIONS AND EQUATIONS. Reach for Success. Radical Expressions. Applications of the Pythagorean Theorem and the Distance Formula. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying Radical Expressions and Rationalizing. Radical Equations. Complex Numbers. Projects. Reach for Success Extension. Chapter Review. Chapter Test. 8. QUADRATIC EQUATIONS AND FUNCTIONS; INEQUALITIES; AND ALGEBRA, COMPOSITION, AND INVERSES OF FUNCTIONS. Reach for Success. Solving Quadratic Equations Using the Square-Root Property and by Completing the Square. Solving Quadratic Equations Using the Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Graphs of Quadratic Functions. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-8. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Reach for Success. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Natural Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Reach for Success Extension. Chapter Review. Chapter Test. 10. CONIC SECTIONS AND MORE GRAPHING. Reach for Success. The Circle and the Parabola. The Ellipse. The Hyperbola. Systems Containing Second-Degree Equations. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-10. 11. MISCELLANEOUS TOPICS. Reach for Success. The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Infinite Geometric Sequences and Series. Permutations and Combination. Probability. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-11. APPENDIX 1: SYMMETRIES OF GRAPHS. APPENDIX 2: SAMPLE FINAL EXAMINATION. APPENDIX 3: TABLES. APPENDIX 4: ANSWERS TO SELECTED EXERCISES.More details
Edition
10th edition
Language
English
Place of publication
CA
United States
Publishing group
Cengage Learning, Inc
Target group
College/higher education
Product notice
Paperback (trade)
sewn/stitched
Cloth over boards
Dimensions
Height: 277 mm
Width: 224 mm
Thickness: 28 mm
Weight
1882 gr
ISBN-13
978-1-4354-6250-2 (9781435462502)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Rosemary Karr graduated from Eastern Kentucky University (EKU) in 1976 with a B.S. in Mathematics, attained her M.A. at EKU in Mathematics Education in 1981, and earned her Ph.D. from the University of North Texas in 1996. After two years teaching high school mathematics, she joined the faculty at Eastern Kentucky University, where she earned tenure as Assistant Professor of Mathematics. A professor of mathematics at Collin [[COUNTY COMMUNITY]] College in Plano Texas since 1990, Prof. Karr has written more than ten solutions manuals, presented numerous papers and been an active member in several educational associations (including President of the National Association for Developmental Education). She has been honored several times by Collin [[COUNTY COMMUNITY]] College, and has received such national recognitions as U.S. Professor of the Year (2007), Minnie Stevens Piper Professor (2008), and CLADEA fellow (2012). Marilyn Massey teaches mathematics at Collin College in McKinney, Texas. She has been President of the Texas Association for Developmental Education, featured on the list of Who's Who among America's Teachers and received an Excellence in Teaching Award from the National Conference for College Teaching and Learning. Professor Massey has presented at numerous state and national conferences; her article "Service-Learning Projects in Data Interpretation" was one of two included from community college instructors for the Mathematical Association of America's publication, Mathematics in Service to the Community. She earned her Bachelor's degree in Secondary Education from the University of North Texas and Master's Degree in the Art of Teaching Mathematics from the University of Texas at Dallas. 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. In addition to this best-selling college algebra resource with Jeffrey Hughes, he has co-authored 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 the American Mathematical Association of Two-Year Colleges (AMATYC) as a Midwest vice president. He has also served as president of IMACC, AMATYC's Illinois affiliate. Professor Gustafson earned a master of arts from Rockford College in Illinois as well as a master of science from Northern Illinois University.
Content
1. A REVIEW OF BASIC ALGEBRA.
Reach for Success. The Real Number System. Arithmetic and Properties of Real Numbers. Exponents. Scientific Notation. Solving Linear Equations in One Variable. Using Linear Equations to Solve Applications. More Applications of Linear Equations in One Variable. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS.
Reach for Success. Graphing Linear Equations. Slope of a Line. Writing Equations of Lines. Introduction to Functions. Graphing Other Functions. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-2.
3. SYSTEMS OF LINEAR EQUATIONS.
Reach for Success. Solving Systems of Two Linear Equations in Two Variables by Graphing. Solving Systems of Two Linear Equations in Two Variables by Substitution and Elimination (Addition). Solving Systems of Three Linear Equations in Three Variables. Solving Systems of Linear Equations Using Matrices. Solving Systems of Linear Equations Using Determinants. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
4. INEQUALITIES.
Reach for Success. Solving Linear Inequalities in One Variable. Solving Absolute Value Equations and Inequalities in One Variable. Solving Linear Inequalities in Two Variables. Solving Systems if Linear and Quadratic Inequalities in Two Variables by Graphing. Solving Systems Using Linear Programming. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-4.
5. POLYNOMIALS, POLYNOMIAL FUNCTIONS, AND EQUATIONS.
Reach for Success. Polynomial and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares; the Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
6. RATIONAL EXPRESSIONS.
Reach for Success. Finding the Domain of Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Solving Equations Containing Rational Expressions. Dividing Polynomials. Synthetic Division. Proportion and Variation. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-6.
7. RADICAL EXPRESSIONS AND EQUATIONS.
Reach for Success. Radical Expressions. Applications of the Pythagorean Theorem and the Distance Formula. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying Radical Expressions and Rationalizing. Radical Equations. Complex Numbers. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
8. QUADRATIC EQUATIONS AND FUNCTIONS; INEQUALITIES; AND ALGEBRA, COMPOSITION, AND INVERSES OF FUNCTIONS.
Reach for Success. Solving Quadratic Equations Using the Square-Root Property and by Completing the Square. Solving Quadratic Equations Using the Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Graphs of Quadratic Functions. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-8.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Reach for Success. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Natural Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
10. CONIC SECTIONS AND MORE GRAPHING.
Reach for Success. The Circle and the Parabola. The Ellipse. The Hyperbola. Systems Containing Second-Degree Equations. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Reach for Success Extension. Chapter Review. Chapter
Reach for Success. The Real Number System. Arithmetic and Properties of Real Numbers. Exponents. Scientific Notation. Solving Linear Equations in One Variable. Using Linear Equations to Solve Applications. More Applications of Linear Equations in One Variable. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS.
Reach for Success. Graphing Linear Equations. Slope of a Line. Writing Equations of Lines. Introduction to Functions. Graphing Other Functions. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-2.
3. SYSTEMS OF LINEAR EQUATIONS.
Reach for Success. Solving Systems of Two Linear Equations in Two Variables by Graphing. Solving Systems of Two Linear Equations in Two Variables by Substitution and Elimination (Addition). Solving Systems of Three Linear Equations in Three Variables. Solving Systems of Linear Equations Using Matrices. Solving Systems of Linear Equations Using Determinants. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
4. INEQUALITIES.
Reach for Success. Solving Linear Inequalities in One Variable. Solving Absolute Value Equations and Inequalities in One Variable. Solving Linear Inequalities in Two Variables. Solving Systems if Linear and Quadratic Inequalities in Two Variables by Graphing. Solving Systems Using Linear Programming. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-4.
5. POLYNOMIALS, POLYNOMIAL FUNCTIONS, AND EQUATIONS.
Reach for Success. Polynomial and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares; the Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
6. RATIONAL EXPRESSIONS.
Reach for Success. Finding the Domain of Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Solving Equations Containing Rational Expressions. Dividing Polynomials. Synthetic Division. Proportion and Variation. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-6.
7. RADICAL EXPRESSIONS AND EQUATIONS.
Reach for Success. Radical Expressions. Applications of the Pythagorean Theorem and the Distance Formula. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying Radical Expressions and Rationalizing. Radical Equations. Complex Numbers. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
8. QUADRATIC EQUATIONS AND FUNCTIONS; INEQUALITIES; AND ALGEBRA, COMPOSITION, AND INVERSES OF FUNCTIONS.
Reach for Success. Solving Quadratic Equations Using the Square-Root Property and by Completing the Square. Solving Quadratic Equations Using the Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Graphs of Quadratic Functions. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Reach for Success Extension. Chapter Review. Chapter Test. Cumulative Review for Chapters 1-8.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Reach for Success. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Natural Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Reach for Success Extension. Chapter Review. Chapter Test.
10. CONIC SECTIONS AND MORE GRAPHING.
Reach for Success. The Circle and the Parabola. The Ellipse. The Hyperbola. Systems Containing Second-Degree Equations. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Reach for Success Extension. Chapter Review. Chapter