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- Learning Objectives Each section opens with an application and clearly stated, numbered, learning objectives. These learning objectives are reinforced throughout the section by re-listing the objective where appropriate so that students always know exactly what is being covered.
- Classroom Examples and Teaching Tips The Annotated Instructor's Edition provides answers to all text exercises and Group Activities in color in the margin or next to the corresponding exercises. In addition, Classroom Examples and Teaching Tips are also included to assist instructors in coming up with examples to use in class that are different from what students have in their textbooks, and offering guidance on presenting the material at hand.
- Notes Important ideas are emphasized in Notes boxes that appear throughout the text. Calling them out stresses their importance to students.
- Connections Connections boxes provide connections to the real world or to other mathematical concepts, historical background, and thought-provoking questions for writing or class discussion.
- Problem Solving The Lial six-step problem-solving method is clearly explained in Chapter 2 and is then continually reinforced in examples and exercises throughout the text to aid students in solving application problems.
- Cautions Students are warned of common errors through the use of Cautions that are found throughout the text where appropriate.
- Technology Insights Exercises Technology Insights Exercises are found in selected exercise sets throughout the text. These exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (graphing calculator NOT required to complete these exercises).
- Ample and Varied Exercise Sets Algebra students require a large number and variety of practice exercises to master the material they have just learned. This text contains over 7700 exercises, including over 2100 review exercises, plus numerous conceptual and writing exercises, journal exercises, and challenging exercises that go beyond the examples. Multiple-choice, matching, true/false, and completion exercises help to provide variety. Exercises suitable for calculator use are marked with a calculator icon.
- Writing Exercises Writing exercises abound in the Lial series through the Connections boxes and also in the exercise sets. Some writing exercises require only short written answers, and others require lengthier journal type exercises that ask students to fully explain terminology, procedures, and methods, document their understanding using examples, or make connections between topics.
- Relating Concepts Found at the end of selected exercise sets, these exercises tie together topics and highlight the relationships among various concepts and skills. For example, they may show how algebra and geometry are related, or how a graph of a linear equation in two variables is related to the solution of the corresponding linear equation in one variable. These sets of exercises make great collaborative activities for small groups of students.
- Group Activities Appearing at the end of each chapter, these activities allow students to work collaboratively to solve a problem related to the chapter material.
- Ample Opportunity for Review One of the most admired features of Lial textbooks is the extensive and well-thought-out end-of-chapter material. At the end of each chapter, students will find Key Terms and Symbols that are keyed back to the appropriate section for easy reference and study, and Test Your Word Power to help students understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in multiple-choice format, Quick Review sections to give students not only the main concepts from the chapter (referenced back to the appropriate section), but also an adjacent example of each concept, Review Exercises keyed to the appropriate sections so that students can refer to examples of that type of problems if they need help, Mixed Review Exercises that require students to solve problems without the help of section references, Chapter Test to help students practice for the real thing, and Cumulative Review Exercises that gather various types of exercises from preceding chapters to help students remember and retain what they are learning throughout the course.

- Former Section 2.1 on the Addition and Multiplication Properties of Equality has been split into two sections to allow each property to be treated individually before combining their use in Section 2.3.
- All topics on graphing linear equations and inequalities in two variables are now treated in Chapter 3.
- Systems of linear equations and inequalities, presented earlier than in the previous edition, are covered in Chapter 4.
- Chapter 5 on exponents and polynomials has been reorganized so that the sections on exponents are covered early in the chapter.
- Variation is covered in a new Section 7.8.
- Three new appendixes have been included. Appendix A provides an introduction to calculators, Appendix D includes all new material on mean, median, and mode, and Appendix E covers quadratic inequalities, formerly included in the chapter on factoring.
- Adjunct Support Center The Adjunct Support Center offers consultation on suggested syllabi, helpful tips on using the textbook support package, assistance with textbook content, and advice on classroom strategies from qualified mathematics instructors with over 50 years combined experience.
- Now Try It Exercises To actively engage students in the learning process, each example now concludes with a reference to one or more parallel exercises from the corresponding exercise set so that students are able to immediately apply and reinforce the concepts and skills presented in the examples.
- Summary Exercises Based on user feedback, we have more than doubled the number of in-chapter summary exercises. These special exercise sets provide students with the all-important mixed review problems they need to master topics. Summaries of solution methods or additional examples are often included. Topics that appear in these Summary Exercises include Solving Linear Equations, Rules for Exponents, and Factoring.
- Glossary By popular demand, a comprehensive glossary of key terms from throughout the text is included at the back of the book.
- New Real-Life Applications Many new or updated examples and exercises can be found throughout the text that focus on real-life applications of mathematics. These applied problems provide a modern flavor that will appeal to and motivate students.
- New Figures and Photos Today's students are more visually oriented than ever. Thus, the authors have made a concerted effort to add mathematical figures, diagrams, tables, and graphs whenever possible. Many of the graphs use a style similar to that seen by students in today's print and electronic media. Photos have been incorporated to enhance applications in examples and exercises.

- Learning Objectives Each section opens with an application and clearly stated, numbered, learning objectives. These learning objectives are reinforced throughout the section by re-listing the objective where appropriate so that students always know exactly what is being covered.
- Classroom Examples and Teaching Tips The Annotated Instructor's Edition provides answers to all text exercises and Group Activities in color in the margin or next to the corresponding exercises. In addition, Classroom Examples and Teaching Tips are also included to assist instructors in coming up with examples to use in class that are different from what students have in their textbooks, and offering guidance on presenting the material at hand.
- Notes Important ideas are emphasized in Notes boxes that appear throughout the text. Calling them out stresses their importance to students.
- Connections Connections boxes provide connections to the real world or to other mathematical concepts, historical background, and thought-provoking questions for writing or class discussion.
- Problem Solving The Lial six-step problem-solving method is clearly explained in Chapter 2 and is then continually reinforced in examples and exercises throughout the text to aid students in solving application problems.
- Cautions Students are warned of common errors through the use of Cautions that are found throughout the text where appropriate.
- Technology Insights Exercises Technology Insights Exercises are found in selected exercise sets throughout the text. These exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (graphing calculator NOT required to complete these exercises).
- Ample and Varied Exercise Sets Algebra students require a large number and variety of practice exercises to master the material they have just learned. This text contains over 7700 exercises, including over 2100 review exercises, plus numerous conceptual and writing exercises, journal exercises, and challenging exercises that go beyond the examples. Multiple-choice, matching, true/false, and completion exercises help to provide variety. Exercises suitable for calculator use are marked with a calculator icon.
- Writing Exercises Writing exercises abound in the Lial series through the Connections boxes and also in the exercise sets. Some writing exercises require only short written answers, and others require lengthier journal type exercises that ask students to fully explain terminology, procedures, and methods, document their understanding using examples, or make connections between topics.
- Relating Concepts Found at the end of selected exercise sets, these exercises tie together topics and highlight the relationships among various concepts and skills. For example, they may show how algebra and geometry are related, or how a graph of a linear equation in two variables is related to the solution of the corresponding linear equation in one variable. These sets of exercises make great collaborative activities for small groups of students.
- Group Activities Appearing at the end of each chapter, these activities allow students to work collaboratively to solve a problem related to the chapter material.
- Ample Opportunity for Review One of the most admired features of Lial textbooks is the extensive and well-thought-out end-of-chapter material. At the end of each chapter, students will find Key Terms and Symbols that are keyed back to the appropriate section for easy reference and study, and Test Your Word Power to help students understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in multiple-choice format, Quick Review sections to give students not only the main concepts from the chapter (referenced back to the appropriate section), but also an adjacent example of each concept, Review Exercises keyed to the appropriate sections so that students can refer to examples of that type of problems if they need help, Mixed Review Exercises that require students to solve problems without the help of section references, Chapter Test to help students practice for the real thing, and Cumulative Review Exercises that gather various types of exercises from preceding chapters to help students remember and retain what they are learning throughout the course.

- Former Section 2.1 on the Addition and Multiplication Properties of Equality has been split into two sections to allow each property to be treated individually before combining their use in Section 2.3.
- All topics on graphing linear equations and inequalities in two variables are now treated in Chapter 3.
- Systems of linear equations and inequalities, presented earlier than in the previous edition, are covered in Chapter 4.
- Chapter 5 on exponents and polynomials has been reorganized so that the sections on exponents are covered early in the chapter.
- Variation is covered in a new Section 7.8.
- Three new appendixes have been included. Appendix A provides an introduction to calculators, Appendix D includes all new material on mean, median, and mode, and Appendix E covers quadratic inequalities, formerly included in the chapter on factoring.
- Adjunct Support Center The Adjunct Support Center offers consultation on suggested syllabi, helpful tips on using the textbook support package, assistance with textbook content, and advice on classroom strategies from qualified mathematics instructors with over 50 years combined experience.
- Now Try It Exercises To actively engage students in the learning process, each example now concludes with a reference to one or more parallel exercises from the corresponding exercise set so that students are able to immediately apply and reinforce the concepts and skills presented in the examples.
- Summary Exercises Based on user feedback, we have more than doubled the number of in-chapter summary exercises. These special exercise sets provide students with the all-important mixed review problems they need to master topics. Summaries of solution methods or additional examples are often included. Topics that appear in these Summary Exercises include Solving Linear Equations, Rules for Exponents, and Factoring.
- Glossary By popular demand, a comprehensive glossary of key terms from throughout the text is included at the back of the book.
- New Real-Life Applications Many new or updated examples and exercises can be found throughout the text that focus on real-life applications of mathematics. These applied problems provide a modern flavor that will appeal to and motivate students.
- New Figures and Photos Today's students are more visually oriented than ever. Thus, the authors have made a concerted effort to add mathematical figures, diagrams, tables, and graphs whenever possible. Many of the graphs use a style similar to that seen by students in today's print and electronic media. Photos have been incorporated to enhance applications in examples and exercises.

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