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Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's INTRODUCTORY ALGEBRA, Fourth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, algebra is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the "language of algebra," the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.
- Students gain a deeper understanding of algebraic concepts if they know why a particular approach is taken. That instructional truth was the motivation for adding a "Strategy and Why" explanation to the solution of each worked example, providing a concise answer to that all-important question, "Why?"
- The practice problems have been heavily revised to address every topic within each section and to maintain a clear progression of level. The Practice section has been divided into two categories, Guided Practice and Try It Yourself. Guided Practice takes each practice problem and keys it directly to the appropriate example in the section. The Guided Practice problems also promote student success by referring them to the proper worked example(s) or objective(s) if they encounter difficulties solving homework problems. Try It Yourself problems were designed to help students determine their own strategies when solving problems just as they would when they take a test.
- Each worked example now ends with a Now Try problem completing the final step in the learning process. Each one is linked to a similar problem found within the Guided Practice section of the Study Sets.
- Context-driven chapter openers include new "From Campus to Careers" features that highlight vocations requiring a variety of algebraic skills. The job outlook, educational requirements, and annual earnings data give students practical information to make career decisions. Problems presented in the openers are tied to exercises in the Study Sets.
- INTRODUCTORY ALGEBRA begins with a Study Skills Workshop module. This module contains one-page discussions of study skills topics followed by a Now Try This section offering students actionable skills, assignments, and projects that will impact their study habits throughout the course. In addition, Study Skills Checklists, appearing before the Chapter Summary and Review, warn students of common errors giving them time to consider these pitfalls before taking their exam.
- The Instructor's Resource Binder is an excellent resource for seasoned instructors and those new to the course. These insightful teaching guides cover each section of the main text, providing instruction tips, examples, activities, worksheets, overheads, assessments, and solutions. The kit also integrates the authors' philosophy, helping adjuncts successfully teach with this unique approach.
- The applications have been the most well-received aspect of the text. Practical and relevant, the text's real-world emphasis is integrated throughout, including study set applications, chapter openers, and in-text examples. Real-life applications are presented from a number of disciplines, including science, business, economics, manufacturing, entertainment, history, art, music, and mathematics.
- Saving you time and improving students' results, WebAssign is the most widely used homework system in higher education—and it's integrated with the text. It allows you to assign, collect, grade, and record homework assignments via the web. It algorithmically generates variables in questions and provides question-specific student-support materials: electronic files from relevant parts of the textbook, videos of a similar exercise, active examples with worked out solutions, and robust tutorials.
- One of the hallmarks of the series, comprehensive study sets were developed with a clear progression in terms of level so that students methodically build their knowledge of the section concepts, from basic recall to more complex problem-solving. Each Study Set includes the following exercises: Vocabulary, Concepts, Notation, Guided Practice, Try It Yourself, Applications, Writing, and Review.
- The authors' proven five-step problem-solving strategy teaches students to analyze the problem, form an equation, solve the equation, state the conclusion, and check the result. This step-by-step approach clarifies the thought process and mathematical skills necessary to solve a wide variety of problems—which bolsters student confidence and sharpens problem-solving skills.
- Combining the best of traditional and reform approaches, INTRODUCTORY ALGEBRA, Fourth Edition, focuses on adequate skill development while emphasizing applications and interpretation of visual data, conceptual development, and problem solving. The text utilizes creative applications, a unique learning system, and an emphasis on the language of algebra.
The Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter 1 Summary and Review. Chapter 1 Test.
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 2 Summary and Review. Chapter 2 Test. Chapters 1-2 Cumulative Review Exercises.
3. GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS.
Graphing Using the Rectangular Coordinate System. Equations Containing Two Variables. Graphing Linear Equations. Rate of Change and the Slope of a Line. Slope-Intercept Form. Point-Slope Form; Writing Linear Equations. Graphing Linear Inequalities. Functions. Chapter 3 Summary and Review. Chapter 3 Test. Chapters 1-3 Cumulative Review Exercises.
4. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES.
Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Addition (Elimination). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter 4 Summary and Review. Chapter 4 Test. Chapters 1-4 Cumulative Review Exercises.
5. EXPONENTS AND POLYNOMIALS.
Natural-Number Exponents; Rules of Exponents. Zero and Negative Integer Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Chapter 5 Summary and Review. Chapter 5 Test. Chapters 1-5 Cumulative Review Exercises.
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. Quadratic Equations. Applications of Quadratic Equations. Chapter 6 Summary and Review. Chapter 6 Test. Chapters 1-6 Cumulative Review Exercises.
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. Variation. Chapter 7 Summary and Review. Chapter 7 Test. Chapters 1-7 Cumulative Review Exercises.
8. 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. Chapter 8 Summary and Review. Chapter 8 Test. Chapters 1-8 Cumulative Review Exercises.
9. QUADRATIC EQUATIONS.
Solving Quadratic Equations: The Square Root Property. Solving Quadratic Equations: Completing the Square. Solving Quadratic Equations: The Quadratic Formula. Graphing Quadratic Functions. Complex Numbers. Chapter 9 Summary and Review. Chapter 9 Test. Chapter 9 Cumulative Review Exercises.
Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.
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