# Algebra for College Students (7e)

Robert F. Blitzer, Miami-Dade Community College
Title Algebra for College Students
Edition 7th
ISBN 9780321758927
ISBN 10 0321758927
Published 14/02/2012
Pages 1072
Format Cloth
Out of stock

Total Price \$0.00 Add to Cart
##### Description

The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student appeal. Blitzer’s personality shows in his writing, as he draws students into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success!

1. Algebra, Mathematical Models, and Problem Solving

1.1 Algebraic Expressions, Real Numbers, and Interval Notation

1.2 Operations with Real Numbers and Simplifying Algebraic Expressions

1.3 Graphing Equations

1.4 Solving Linear Equations

Mid-Chapter Check Point Section 1.1–Section 1.4

1.5 Problem Solving and Using Formulas

1.6 Properties of Integral Exponents

1.7 Scientific Notation

Chapter 1 Group Project

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

2. Functions and Linear Functions

2.1 Introduction to Functions

2.2 Graphs of Functions

2.3 The Algebra of Functions

Mid-Chapter Check Point Section 2.1–Section 2.3

2.4 Linear Functions and Slope

2.5 The Point-Slope Form of the Equation of a Line

Chapter 2 Group Project

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Cumulative Review Exercises (Chapters 1–2)

3. Systems of Linear Equations

3.1 Systems of Linear Equations in Two Variables

3.2 Problem Solving and Business Applications Using Systems of Equations

3.3 Systems of Linear Equations in Three Variables

Mid-Chapter Check Point Section 3.1–Section 3.3

3.4 Matrix Solutions to Linear Systems

3.5 Determinants and Cramer's Rule

Chapter 3 Group Project

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review Exercises (Chapters 1–3)

4. Inequalities and Problem Solving

4.1 Solving Linear Inequalities

4.2 Compound Inequalities

4.3 Equations and Inequalities Involving Absolute Value

Mid-Chapter Check Point Section 4.1–Section 4.3

4.4 Linear Inequalities in Two Variables

4.5 Linear Programming

Chapter 4 Group Project

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Cumulative Review Exercises (Chapters 1–4)

5. Polynomials, Polynomial Functions, and Factoring

5.1 Introduction to Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Greatest Common Factors and Factoring By Grouping

5.4 Factoring Trinomials

Mid-Chapter Check Point Section 5.1–Section 5.4

5.5 Factoring Special Forms

5.6 A General Factoring Strategy

5.7 Polynomial Equations and Their Applications

Chapter 5 Group Project

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review Exercises (Chapters 1–5)

6. Rational Expressions, Functions, and Equations

6.1 Rational Expressions and Functions: Multiplying and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Rational Expressions

6.4 Division of Polynomials

Mid-Chapter Check Point Section 6.1–Section 6.4

6.5 Synthetic Division and the Remainder Theorem

6.6 Rational Equations

6.7 Formulas and Applications of Rational Equations

6.8 Modeling Using Variation

Chapter 6 Group Project

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Cumulative Review Exercises (Chapters 1–6)

7.2 Rational Exponents

7.3 Multiplying and Simplifying Radical Expressions

Mid-Chapter Check Point Section 7.1–Section 7.4

7.5 Multiplying with More Than One Term and Rationalizing Denominators

7.7 Complex Numbers

Chapter 7 Group Project

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Cumulative Review Exercises (Chapters 1–7)

8.1 The Square Root Property and Completing the Square

8.3 Quadratic Functions and Their Graphs

Mid-Chapter Check Point Section 8.1–Section 8.3

8.5 Polynomial and Rational Inequalities

Chapter 8 Group Project

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Cumulative Review Exercises (Chapters 1–8)

9. Exponential and Logarithmic Functions

9.1 Exponential Functions

9.2 Composite and Inverse Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

Mid-Chapter Check Point Section 9.1–Section 9.4

9.5 Exponential and Logarithmic Equations

9.6 Exponential Growth and Decay; Modeling Data

Chapter 9 Group Project

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Cumulative Review Exercises (Chapters 1–9)

10. Conic Sections and Systems of Nonlinear Equations

10.1 Distance and Midpoint Formulas; Circles

10.2 The Ellipse

10.3 The Hyperbola

Mid-Chapter Check Point Section 10.1–Section 10.3

10.4 The Parabola; Identifying Conic Sections

10.5 Systems of Nonlinear Equations in Two Variables

Chapter 10 Group Project

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Cumulative Review Exercises (Chapters 1–10)

11. More on Polynomial and Rational Functions

11.1 Polynomial Functions and Their Graphs

11.2 Zeros of Polynomial Functions

Mid-Chapter Check Point Section 11.1–Section 11.2

11.3 Rational Functions and Their Graphs

Chapter 11 Group Project

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Test

Cumulative Review Exercises (Chapters 1–11)

12. Sequences, Induction, and Probability

12.1 Sequences and Summation Notation

12.2 Arithmetic Sequences

12.3 Geometric Sequences and Series

Mid-Chapter Check Point Section 12.1–Section 12.3

12.4 The Binomial Theorem

12.5 Mathematical Induction

12.6 Counting Principles, Permutations, and Combinations

12.7 Probability

Chapter 12 Group Project

Chapter 12 Summary

Chapter 12 Review Exercises

Chapter 12 Test

Cumulative Review Exercises (Chapters 1–12)

Appendix

Where Did That Come From? Selected Proofs

##### New to this edition

New and Updated Features

• New Applications and Real-World Data have been incorporated into this revision throughout the chapter and section openers, examples, and exercise sets. Applications include stretching one's life span, the emotional health of college freshmen, changing attitudes toward marriage, American Idol's viewership, math-themed comic strips, and more.
• Concept and Vocabulary Checks provide fill-in-the-blank and true/false exercises that will assess students’ understand of the definitions and concepts presented in the section.
• Great Question! takes the content from each Study Tip from the previous edition and presents it in the context of a student question. Answers to the questions offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
• Achieving Success boxes offer strategies for success in math courses, along with suggestions to help developmental students achieve their full academic potential.

New to the Supplements Package

• The Learning Guide helps students learn how to make the most of their textbook and its companion learning tools, including MyMathLab. Organized by the textbook’s learning objectives, this workbook provides additional practice for each section and guidance for test preparation. Published in an unbound, binder-ready format, the Learning Guide can serve as the foundation for students’ course notebooks.
• The Lectures Series on DVD featuring Chapter Test Prep Videos has been completely revised to provide students with extra help for each section of the textbook. All videos from the series are also available in MyMathLab. The videos include:
• Section lectures with a new interface, which provides easy navigation to objectives and key examples and exercises.
• Chapter Test Prep Videos, which offer step-by-step video solutions to every problem in each Chapter Test in the textbook. The Chapter Test Prep videos are also now available on YouTube.
• Two MyMathLab course options are now available: a standard course and a Ready to Go course.
• Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and complete control over all aspects of assignment creation.
• The new Ready to Go courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started. Each course includes pre-assigned homework and quizzes to make creating a course even easier.
• Both course options will feature the following items:
• All videos from the Lecture Series on DVD featuring Chapter Test Prep Videos.
• The Learning Guide in PDF format.
• Pre-made (and pre-assigned in the Ready to Go course) section-level homework assignments.
• Pre-made chapter review quizzes that are pre-assigned in the Ready to Go Course and generate homework assignments based on students’ quiz results.
• Assignable Concept and Vocabulary Checks to assess students’ understanding of the definitions and concepts presented in each section.
• Mid-Chapter Check Point exercises to allow students to stop and assess the skills and concepts they’ve learned separately over several sections.
• Pre-made (and pre-assigned in the Ready to Go course) pre- and post-test for every chapter.

• Section 1.1 (Algebraic Expressions, Real Numbers, and Interval Notation) introduces interval notation, which is used throughout the book.
• Section 2.2 (Graphs of Functions) uses interval notation to identify the domain and range from a function’s graph.
• Section 4.1 (Solving Linear Inequalities) uses interval notation to express solution sets.
• Section 4.3 (Equations and Inequalities Involving Absolute Value) solves absolute value inequalities using equivalent compound inequalities, rather than boundary points. With the section’s focus on this one method, the pace has been both slowed down and expanded.
• Section 5.1 (Introduction to Polynomials and Polynomial Functions) presents a more detailed discussion on polynomial subtraction using additive inverses.
• Section 6.7 (Formulas and Applications of Rational Expressions) expands the coverage of solving for a variable in a formula with a new worked example and Check Point.
• Section 8.1 (The Square Root Property and Completing the Square) contains a new example on solving a quadratic equation with imaginary solutions by completing the square.
• Section 8.2 (The Quadratic Formula) has a new example on writing a quadratic equation whose solution set contains irrational numbers.
• Section 8.5 (Polynomial and Rational Inequalities) includes a new example on solving a polynomial inequality with irrational boundary points.

##### Features & benefits
• Engaging applications and real-world data put learning into context. Bob Blitzer is on a constant search for data that can be used to illustrate algebra applications. He has used this research to update the chapter- and section-opening applications, examples, and exercises in the text.
• Additional study skills support is available to students through two new in-text features and the new Learning Guide:
• NEW! Great Question! takes the content from each Study Tip from the previous edition and presents it in the context of a student question. Answers to the questions offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
• NEW! Achieving Success boxes offer strategies for success in math courses, along with suggestions to help developmental students achieve their full academic potential.
• NEW! The Learning Guide helps students learn how to make the most of their textbook and its companion learning tools, including MyMathLab. Organized by the textbook’s learning objectives, this workbook provides additional practice for each section and guidance for test preparation. Published in an unbound, binder-ready format, the Learning Guide can serve as the foundation as the student’s course notebook.
• Extensive exercise sets offer several types of exercises. This variety makes it easy to create well-rounded homework assignments from the text or in MyMathLab. Exercise types include the following:
• NEW! Concept and Vocabulary Checks provide fill-in-the-blank and true/false exercises that assess students’ understanding of the definitions and concepts presented in the section. These are also assignable in MyMathLab.
• Practice Plus Problems are more challenging exercises that require students to combine several skills or concepts.
• Writing in Mathematics exercises ask students to explain terms and concepts in their own words, helping them to develop a mathematical vocabulary.
• Critical Thinking Exercises stretch student thinking by taking concepts one step further while asking students to draw conclusions and justify answers. Make Sense and True/False exercises also fall under this category.
• Review Exercises review previously covered topics to improve and maintain students’ understanding and mastery of the material.
• Preview Exercises help students prepare for the following section by previewing the concepts that they will soon encounter.
• Mid-Chapter Check Points allow students to stop and assess the skills and concepts they’ve learned separately over several sections. The Mid-Chapter Check Points will now be available as a pre-made assignment in the Blitzer MyMathLab courses.
• Check Point exercises after every example make the text more interactive by offering students the opportunity to test their understanding of the example by working a similar exercise. Answers to all of the Check Points are in the answer section.
• Explanatory Voice Balloons translate algebraic ideas into everyday English, help clarify problem-solving procedures, present alternative ways of understanding concepts, and connect problems solving strategies to concepts students have already learned.
• Chapter Summaries are organized by section and highlight important concepts and topics with side-by-side examples to make it easy for students to study and check for mastery of important chapter content.

##### Author biography

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob’s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to his Developmental Algebra Series, Bob has written textbooks covering college algebra, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Pearson Education. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore, and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.