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Kaseberg/Cripe/Wildman's respected INTERMEDIATE ALGEBRA is known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy. This new edition introduces two new co-authors, Greg Cripe and Peter Wildman. The three authors have created a new textbook that introduces new pedagogy to teach students how to be better prepared to succeed in math and then life by strengthening their ability to solve critical-thinking problems. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention.
- In order to preserve alignment of the content with the AMATYC standards but also to reflect the evolution of these standards over the years, content has been rethought and rearranged to focus on quadratic, exponential, and other functions.
- Chapter 6, "Exponential and Logarithmic Functions," is formerly Chapter 8.
- Chapter 7, "Systems of Linear and Non-Linear Equations and Inequalities," is formerly Chapter 9 and now includes a section on Sequences and Series to wrap up the thread of sequences carried throughout the book.
- Online Chapter 8, "Probability," is formerly Chapter 10 and has been extensively rewritten and reorganized. The chapter now starts with probability.
- The topic of solving systems of equations in three variables has been added.
- Practice problems have been added throughout the text, usually following key Examples, giving students an opportunity to practice the concept demonstrated in the preceding Example. Clear explanations and accompanying practice problems are integrated throughout and serve to reinforce concept comprehension. Answers to the Practice problems appear in the Answer Boxes at the end of the section.
- Reading Questions, which appear after the Answer Boxes, encourage students to examine the nuances of the vocabulary and to recognize that the language of algebra and its vocabulary is an essential part of comprehension. As a result, students are encouraged to discuss their results with classmates when they return to the next class. Answers to the Reading Questions can be found in the Annotated Instructor's Edition only. Activities, located at the end of each section, provide opportunities for students to do meaningful and interactive mathematics during class. The activities are paired or group exercises meant for exploration, summation or extension of basic ideas. In many sections, the Activity reflects how the mathematics applies to things of interest to the student.
- Projects, located at the end of the Exercises, can serve as another opportunity for in-class activities or can be assigned as homework. All have been thoroughly evaluated, some revised, and others added as brand new.
- The number of word problems and applications has been increased to replace some of the skill problems.
- Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content that you know and love with the most powerful online homework solution, WebAssign®. Enhanced WebAssign® engages students with immediate feedback, rich tutorial content, and interactive eBooks helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems or supplemented with problems from any Cengage Learning textbook.
- A Review chapter, Chapter 0, has been added. The seven sections in new Chapter 0 have been formed from sections in the first three chapters of the fourth edition: Number Sense (1.2), Solving Equations with symbols (1.7) and with tables and graphs (1.6), Inequalities (2.1), Systems of Equations (3.1 and 3.2), Verbal Representations (1.4 and 3.3), and Mathematical Thinking: Problem Solving (1.1).
- Chapter 1, "Linear Functions and Inequalities," was formerly Chapter 2 with the addition of Section 3.5.
- Sections 2.5 and 2.6 have been pared down to Section 1.4 by moving introduction to absolute value equations into the following section on Linear Inequalities (formerly Section 3.5).
- The fourth edition Chapter 3 has been eliminated by reviewing systems of two equations and quantity and rate equations in Chapter 0, introducing linear inequalities and absolute value inequalities in Chapter 1, and moving systems of three equations to Chapter 7.
- Chapter 2, "Quadratic and Polynomial Functions," is formerly Chapter 4.
- Chapter 3, "Square Roots; Quadratic Equations and Inequalities," is formerly Chapter 5.
- Chapter 4, "Ratios, Variation, and Rational Functions," is formerly Chapter 6.
- Chapter 5, "Exponents and Radicals," is formerly Chapter 7. The topic of Significant Digits has been dropped from Scientific Notation. Finding Inverse Functions has been moved to Chapter 6 and blended with an introduction to the logarithmic function.
- A list of Objectives is included at the beginning of the section. They serve as a summary for both students and instructors and coordinate with the titles of the Examples.
- The Warm-Up at the beginning of each section is designed to serve as a class opener, reviewing important concepts, beginning exploration, and linking prior and upcoming topics. Warm-Ups tend to be skill-oriented; they generally connect to the algebra needed to solve text examples. The answers to the Warm-Up appear in the Answer Box at the end of the section.
- Each Example begins with a title, which states the purpose of the Example. Usually these titles relate back to the objectives for the section. Several Examples link with others elsewhere in the book.
- Included throughout the text, Explorations are another type of Example that is intended to be used in class for individual or group exploration.
- Answers to the Warm-Up and some Examples, as well as the Practice questions, are placed in the Answer Box at the end of each section. By providing answers as feedback, the Answer Box permits the text to be used in class or as a laboratory manual for group work or independent study.
- Exercises include questions on problem solving and Projects that relate to topics from prior chapters.
- Instructor Extras are available in the Annotated Instructor's Edition in the margin next to examples. These additional examples can be written on the board for student groups, presented in class, or used as quiz or test questions.
- A graphing calculator continues to be incorporated where appropriate, including the addition of more screenshots, and an appendix has been crafted to further support the natural integration of the calculator in the text.
- Chapter Projects, included in the Chapter Review Exercises at the end of each chapter, synthesize multiple concepts and teach problem-solving skills.
- Every chapter ends with a Chapter Summary, Review Exercises, and a Chapter Test in order to review the Objectives presented in each chapter.
Number Sense. Coordinate Systems. Solving Linear Equations and Inequalities. Inequalities, Line graphs and Intervals. Solving Systems of Equations. Quantity Rate Tables. Problem Solving.
1. LINEAR FUNCTIONS AND INEQUALITIES.
Functions. Functions Represented in Four Ways. Linear Functions. Modeling Linear Functions and Inequalities. Modeling Special Linear Functions and Inequalities. Solving Linear and Absolute Value Inequalities.
2. QUADRATIC AND POLYNOMIAL FUNCTIONS.
Quadratic Functions. Modeling Quadratic Functions. Polynomial Functions and Operations. Special Products and Completing the Square. Solving Quadratic Equations with Tables, Graphs, and Factors. The Roles of a, b, c, and Binomial Squares in Graphing Quadratic Functions.
3. SQUARE ROOTS; QUADRATIC EQUATIONS AND INEQUALITIES.
The Square Root Function and the Pythagorean Theorem. Solving Quadratic Equations with Square Roots. Solving Quadratic Equations with the Quadratic Formula. Solving Minimum and Maximum Problems. Complex Numbers and Solving Polynomial Equations. Shifts, Vertex Form, and Applications of Quadratic Functions. Solving Quadratic Inequalities.
4. VARIATION AND RATIONAL FUNCTIONS.
Ratios, Units of Measure, and Proportions. Direct Variation. Inverse Variation and Related Graphs. Simplification, Multiplication, and Division of Rational Expressions. Division of Polynomials and Related Graphs. Addition and Subtraction of Rational Expression. Solving Rational Equations.
5. EXPONENTS AND RADICALS.
Exponents and Their Properties. Scientific Notation. Rational Exponents. Roots and Rational Exponents. More Operations with Radicals. Solving Root and Power Equations.
6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Exponential Equations and Graphs. Finding Inverse Functions (from 7.6). Solving Exponential Equations: Logarithms. Applications of Exponential and Logarithmic Functions. Properties of Logarithms and the Logarithmic Scale. The Natural Number e in Exponential and Logarithmic Functions.
7. SYSTEMS OF THREE EQUATIONS AND NONLINEAR SYSTEMS.
Solving Systems of Three or More Equations. Conic Sections. Solving Systems of Nonlinear Equations. Solving Systems of Inequalities. Series and Sequences.
8. COUNTING AND PROBABILITY.
Introduction to Probability. The Addition and Multiplication Principles. More on the Addition and Multiplication Principles. Permutations and Combinations.
Final Exam Review.
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.
Instructor's Resource Manual
This manual contains complete solutions to all the problems in the text.
Student Solutions Manual
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
The Student Workbook contains all of the assessments, activities, and worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.
Student Solutions Manual