Synopses & Reviews
Tussy and Gustafson's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. In this text, students get a thorough review of arithmetic and geometry along with all the topics covered in a standard elementary algebra course. The authors build the strong mathematical foundation necessary to give students confidence to apply their newly acquired skills in further mathematics courses, at home, or on the job.
About 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. WHOLE NUMBERS. An Introduction to the Whole Numbers. Adding and Subtracting Whole Numbers. Multiplying and Dividing Whole Numbers. Prime Factors and Exponents. Order of Operations. Solving Equations by Addition and Subtraction. Solving Equations by Division and Multiplication. Key Concept: Variables. Accept on Teamwork. Chapter Review. Taking a Math Test. Cumulative Review Exercises. 2. THE INTEGERS. An Introduction to the Integers. Adding Integers. Subtracting Integers. Multiplying Integers. Dividing Integers. Order of Operations and Estimation. Solving Equations Involving Integers. Key Concept: Signed Numbers. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 3. FRACTIONS AND MIXED NUMBERS. The Fundamental Property of Fractions. Multiplying Fractions. Dividing Fractions. Adding and Subtracting Fractions. The LCM and the GCF. Multiplying and Dividing Mixed Numbers. Adding and Subtracting Mixed Numbers. Order of Operations and Complex Fractions. Solving Equations Containing Fractions. Key Concept: The Fundamental Property of Fractions. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 4. DECIMALS. An Introduction to Decimals. Adding and Subtracting Decimals. Multiplying with Decimals. Dividing Decimals. Estimation. Fractions and Decimals. Solving Equations Containing Decimals. Square Roots. Key Concept: Simplify and Solve. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 5. PERCENT. Percents, Decimals, and Fractions. Solving Percent Problems. Applications of Percent. Estimation. Interest. Key Concept: Equivalent Expressions. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 6. DESCRIPTIVE STATISTICS. Reading Graphs and Tables. Mean, Median, and Mode. Key Concept: Mean, Median, and Mode. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 7. INTRODUCTION TO GEOMETRY. Some Basic Definitions. Parallel and Perpendicular Lines. Polygons Include Properties of Parallelograms . Properties of Triangles after Properties of Rectangles. Perimeters and Areas of Triangles. Circles. Surface Area and Volume. Key Concept: Formulas. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 8. ALGEBRAIC EXPRESSIONS, EQUATIONS AND INEQUALITIES. Algebraic Expressions. Simplifying Algebraic Expressions. Solving Equations. Formulas. Problem Solving. Inequalities. Key Concept: Simplify and Solve. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 9. GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS. Graphing Using the Rectangular Coordinate System. Equations Containing Two Variables. Graphing Linear Equations. Rates of Change and the Slope of a Line. Slope-Intercept Form. Point-Slope form; Writing Linear Equations. Functions. Key Concept: Describing Linear Relationships. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 10. EXPONENTS AND POLYNOMIALS. Natural-Number Exponents. Zero and Negative Integer Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Key Concept: Polynomials with More than One Variable. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 11. FACTORING AND QUADRATIC EQUATIONS. Factoring Out a Greatest Common Factor and Factoring by Grouping. Factoring Trinomials of the Form. Special Factorizations and a Factoring Strategy. Quadratic Equations. Key Concept: Factoring. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 12. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Rational Equations and Problem Solving. Proportions and Similar Triangles. Variation. Key Concept: Expressions and Equations. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 13. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems by Addition. Applications of Systems of Equations. Graphing Linear Inequalities. Solving Systems of Linear Equations. Key Concept: Systems of Equations and Inequalities. Accent on Teamwork. Chapter Review. Chapter Test. Cumulative Review Exercises. 14. ROOTS AND RADICALS. Square Roots. Higher-order Roots; Radicands that Contain Variables. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations; the Distance Formula. Rational Exponents. Key Concept: Inverse Operations. Chapter Review. Chapter Test. Cumulative Review Exercises. 15. QUADRATIC EQUATIONS. Complete the Square. The Quadratic Formula. Graphing Quadratic Functions. Key Concept: Quadratic Equations. Chapter Review. Chapter Test. Cumulative Review Exercises. Appendices: A. Inductive and Deductive Reasoning. B. Measurement. C. Additional Algebraic Topics. D. THEA Practice Tests.