Introductory & Intermediate Algebra for College Students

Description

&>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.
• Pre-made (and pre-assigned in the Ready to Go course) pre- and post-test for every chapter.

Content Updates

• Section 2.3 (Solving Linear Equations) contains a new discussion on solving linear equations with decimals.
• Section 2.4 (Formulas and Percents) speeds up the discussion on basics of percent, a prealgebra topic, with the focus on algebraic applications.
• Section 2.7 (Solving Linear Inequalities) includes an additional application involving an example about staying within a budget.
• Section 6.1 (The Greatest Common Factor and Factoring by Grouping) includes a new objective on factoring out the negative of a polynomial’s greatest common factor.
• Section 6.5 (A General Factoring Strategy) slows down the pace of the Practice Exercises in the Exercise Set. The Exercise Set now opens with problems that require students to use only one factoring technique before moving on to multiple-step factorizations.
• Section 7.6 (Solving Rational Equations) expands the coverage of solving a formula with a rational expression for a variable with a new worked example and Check Point.
• Section 9.3 (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 11.1 (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 11.2 (The Quadratic Formula) has a new example on writing a quadratic equation whose solution set contains irrational numbers.
• Section 11.5 (Polynomial and Rational Inequalities) includes a new example on solving a polynomial inequality with irrational boundary points.

 

 

• 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.

 

1. Variables, Real Numbers, and Mathematical Models

1.1 Introduction to Algebra: Variables and Mathematical Models

1.2 Fractions in Algebra

1.3 The Real Numbers

1.4 Basic Rules of Algebra

Mid-Chapter Check Point Section 1.1–Section 1.4

1.5 Addition of Real Numbers

1.6 Subtraction of Real Numbers

1.7 Multiplication and Division of Real Numbers

1.8 Exponents and Order of Operations

Chapter 1 Group Project

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

2. Linear Equations and Inequalities in One Variable

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Solving Linear Equations

2.4 Formulas and Percents

Mid-Chapter Check Point Section 2.1–Section 2.4

2.5 An Introduction to Problem Solving

2.6 Problem Solving in Geometry

2.7 Solving Linear Inequalities

Chapter 2 Group Project

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Cumulative Review Exercises (Chapters 1–2)

3. Linear Equations in Two Variables

3.1 Graphing Linear Equations in Two Variables

3.2 Graphing Linear Equations Using Intercepts

3.3 Slope

3.4 The Slope-Intercept Form of the Equation of a Line

Mid-Chapter Check Point Section 3.1–Section 3.4

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

Chapter 3 Group Project

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review Exercises (Chapters 1–3)

4. Systems of Linear Equations

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by the Substitution Method

4.3 Solving Systems of Linear Equations by the Addition Method

Mid-Chapter Check Point Section 4.1–Section 4.3

4.4 Problem Solving Using Systems of Equations

4.5 Systems of Linear Equations in Three Variables

Chapter 4 Group Project

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Cumulative Review Exercises (Chapters 1–4)

5. Exponents and Polynomials

5.1 Adding and Subtracting Polynomials

5.2 Multiplying Polynomials

5.3 Special Products

5.4 Polynomials in Several Variables

Mid-Chapter Check Point Section 5.1–Section 5.4

5.5 Dividing Polynomials

5.6 Long Division of Polynomials; Synthetic Division

5.7 Negative Exponents and Scientific Notation

Chapter 5 Group Project

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review Exercises (Chapters 1–5)

6. Factoring Polynomials

6.1 The Greatest Common Factor and Factoring By Grouping

6.2 Factoring Trinomials Whose Leading Coefficient Is 1

6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1

Mid-Chapter Check Point Section 6.1–Section 6.3

6.4 Factoring Special Forms

6.5 A General Factoring Strategy

6.6 Solving Quadratic Equations By Factoring     

Chapter 6 Group Project

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Cumulative Review Exercises (Chapters 1–6)

 

7. Rational Expressions

7.1 Rational Expressions and Their Simplification

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with the Same Denominator

7.4 Adding and Subtracting Rational Expressions with Different Denominators

Mid-Chapter Check Point Section 7.1–Section 7.4

7.5 Complex Rational Expressions

7.6 Solving Rational Equations

7.7 Applications Using Rational Equations and Proportions

7.8 Modeling Using Variation

Chapter 7 Group Project

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Cumulative Review Exercises (Chapters 1–7)

8. Basics of Functions

8.1 Introduction to Functions

8.2 Graphs of Functions

8.3 The Algebra of Functions

Mid-Chapter Check Point Section 8.1–Section 8.3

8.4 Composite and Inverse Functions

Chapter 8 Group Project

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Cumulative Review Exercises (Chapters 1–8)

 

9. Inequalities and Problem Solving

9.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications

9.2 Compound Inequalities

9.3 Equations and Inequalities Involving Absolute Value

Mid-Chapter Check Point Section 9.1–Section 9.3

9.4 Linear Inequalities in Two Variables

Chapter 9 Group Project

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Cumulative Review Exercises (Chapters 1–9)

 

10. Radicals, Radical Functions, and Rational Exponents

10.1 Radical Expressions and Functions

10.2 Rational Exponents

10.3 Multiplying and Simplifying Radical Expressions

10.4 Adding, Subtracting, and Dividing Radical Expressions

Mid-Chapter Check Point Section 10.1–Section 10.4

10.5 Multiplying with More Than One Term and Rationalizing Denominators

10.6 Radical Equations

10.7 Complex Numbers

Chapter 10 Group Project

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Cumulative Review Exercises (Chapters 1–10)

11. Quadratic Equations and Functions

11.1 The Square Root Property and Completing the Square; Distance and Midpoint Formulas

11.2 The Quadratic Formula

11.3 Quadratic Functions and Their Graphs

Mid-Chapter Check Point Section 11.1–Section 11.3

11.4 Equations Quadratic in Form

11.5 Polynomial and Rational Inequalities

Chapter 11 Group Project

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Test

Cumulative Review Exercises (Chapters 1–11)

 

12. Exponential and Logarithmic Functions

12.1 Exponential Functions

12.2 Logarithmic Functions

12.3 Properties of Logarithms

Mid-Chapter Check Point Section 12.1–Section 12.3

12.4 Exponential and Logarithmic Equations

12.5 Exponential Growth and Decay; Modeling Data

Chapter 12 Group Project

Chapter 12 Summary

Chapter 12 Review Exercises

Chapter 12 Test

Cumulative Review Exercises (Chapters 1–12)

13. Conic Sections and Systems of Nonlinear Equations

13.1 The Circle

13.2 The Ellipse

13.3 The Hyperbola

Mid-Chapter Check Point Section 13.1–Section 13.3

13.4 The Parabola; Identifying Conic Sections

13.5 Systems of Nonlinear Equations in Two Variables

Chapter 13 Group Project

Chapter 13 Summary

Chapter 13 Review Exercises

Chapter 13 Test

Cumulative Review Exercises (Chapters 1–13)

 

14. Sequences, Series, and the Binomial Theorem

14.1 Sequences and Summation Notation

14.2 Arithmetic Sequences

14.3 Geometric Sequences and Series

Mid-Chapter Check Point Section 14.1–Section 14.3

14.4 The Binomial Theorem

Chapter 14 Group Project

Chapter 14 Summary

Chapter 14 Review Exercises

Chapter 14 Test

Cumulative Review Exercises (Chapters 1–14)

 

Appendices

A. Mean, Median, and Mode

B. Matrix Solutions to Linear Systems

C. Determinants and Cramer’s Rule

D. Where Did That Come From? Selected Proofs

 

The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum appeal. Blitzer’s personality shows in his writing, as he draws readers 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!

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.

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!

Additional information

Dimensions	1.70 × 8.70 × 11.00 in
Imprint	Pearson
Format	gen
ISBN-13	09780321758941
ISBN-10	0321758943
Author	Robert F. Blitzer
Subjects	mathematics, higher education, Developmental Math, Combo: Elementary and Intermediate