Show students how to apply traditional mathematical skills in real-world contexts with BEGINNING ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, 2nd Edition. Concepts become real and vivid as the authors draw from real data to show students why and how to apply math. Through conceptual explorations, skill building and applications, this text’s approach helps students master concepts, and develop problem solving and communication skills. The authors integrate algebraic techniques, graphing, the use of data in tables, and writing sentences to communicate solutions to application problems. Problems that build strong algebra skills support applications while completing models by hand helps students focus on the characteristics of each function type. Accompanied by WebAssign, students will be able to enhance their learning experience while building confidence.
R. REVIEW OF PREALGEBRA.
Operations with Integers. Operations with Fractions. Prime Numbers and Prime Factorization. Operations with Decimals. Operations with Percents. The Real Number System.
1. BUILDING BLOCKS OF ALGEBRA.
Exponents, Order of Operations, and Properties of Real Numbers. Algebra and Working with Variables. Simplifying Expressions. Graphs and the Rectangular Coordinate System.
2. LINEAR EQUATIONS AND INEQUALITIES WITH ONE VARIABLE.
Addition and Subtraction Properties of Equality. Multiplication and Division Properties of Equality. Solving Equations with Variables on Both Sides. Solving and Graphing Linear Inequalities on a Number Line.
3. LINEAR EQUATIONS WITH TWO VARIABLES.
Graphing Equations with Two Variables. Finding and Interpreting Slope. Slope Intercept Form of Lines. Linear Equations and Their Graphs. Finding Equations of Lines. Modeling Linear Data.
4. SYSTEMS OF LINEAR EQUATIONS.
Identifying Systems of Linear Equations. Solving Systems Using the Substitution Method. Solving Systems Using the Elimination Method. Solving Linear Inequalities in Two Variables Graphically. Systems of Linear Inequalities.
5. EXPONENTS AND POLYNOMIALS.
Rules for Exponents. Negative Exponents and Scientific Notation. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing a Polynomials.
6. FACTORING AND QUADRATIC EQUATIONS.
What It Means to Factor. Factoring Trinomials. Factoring Special Forms. Solving Quadratic Equations by Factoring.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
The Basics of Rational Expressions and Equations. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Solving Rational Equations. Proportions, Similar Triangles, and Variation.
8. RADICAL EXPRESSIONS AND EQUATIONS.
From Squaring a Number to Roots and Radicals. Basic Operations with Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations.
9. MODELING DATA.
Graphing Quadratic Equations. Solving Quadratic Equations Using the Square-Root Property. Solving Quadratic Equations by Completing the Square and Quadratic Formula. Graphing Quadratic Equations including Intercepts. Working with Quadratic Models. The Basics of Functions.
Appendices.
Geometry Formulas.
Unit Conversions.
Answers to Odd Problems.
Answers to Example Practice Problems.
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Mark Clark
Mark Clark graduated from California State University, Long Beach, and holds bachelor's and master's degrees in Mathematics. A full-time associate professor at Palomar College, since 1996, Mark is committed to teaching using applications and technology to help students understand mathematics in context and communicate results clearly. Intermediate algebra is one of his favorite courses to teach and he continues to teach several sections of this course each year. He is co-author of BEGINNING ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, and BEGINNING AND INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS published by Cengage. Mark shares his passion for using applications to teach mathematical concepts by delivering workshops and talks to other instructors at local and national conferences.
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Cynthia Anfinson
Cynthia (Cindy) Anfinson graduated from UCSD's Revelle College in 1985, summa cum laude, with a Bachelor of Arts Degree in Mathematics and is a member of Phi Beta Kappa. She went to graduate school at Cornell University under the Army Science and Technology Graduate Fellowship. She graduated from Cornell in 1989 with a Master of Science Degree in Applied Mathematics. She is currently an Associate Professor of Mathematics at Palomar College and has been teaching there since 1995. Cindy Anfinson was a finalist in Palomar College's 2002 Distinguished Faculty Award.
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JUST IN TIME SUPPORT built into questions contains direct links to the eTextbook (Read It) and videos (Watch It).
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LEARN IT MODULES address your students’ knowledge gaps with just-in-time instruction that meets their diverse learning styles. Available as an additional resource within questions, Learn Its provide targeted instruction and practice on that topic using narrative, videos and tutorials—all in one place. If the topic is still too challenging, students can choose to continue learning through associated prerequisite Learn Its until they feel confident in their knowledge and preparedness.
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RESPONSIVE QUESTIONS personalize the learning experience for your students by asking them to use their own real data, which provides the variables they will use to answer each question part.
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CONCEPT CHECK questions provide students with short, multi-step videos reviewing key math concepts. Students are required to answer a question after each video to ensure their understanding of each concept.
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EXPANDED PROBLEMS include intermediary steps to guide students to the final answer.
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MASTER IT TUTORIALS break problems down into steps to help guide students through the mathematical process.
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COURSE PACKS are modifiable, ready-to-use assignments built by subject matter experts to help save time.
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CLASS INSIGHTS provide understanding of student knowledge gaps.
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FLEXIBLE USE OF A CALCULATOR: The core exercises do not require calculator usage, although the book has been written to support the use of a scientific calculator.
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EXERCISE SETS include a balance of both applications and skill-based problems developed with a clear level of progression in terms of difficulty level.
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THREE TOOLKITS are included with this edition: the Equation Solving Toolkit, Factoring Toolkit, and Expression Simplifying Toolkit. Integrated throughout the text with visual icons, just-in-time help connects students to the solving techniques and tools used for different problem types. Each Toolkit emphasizes how these fundamental equations are used throughout the course.
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INCREASED EMPHASIS on identifying equation and function types within solving, graphing, and modeling problems. This helps students review previous material and connect it to the current topics.
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CHAPTER PROJECTS enhance critical thinking and can be assigned either individually or as group work. Instructors can choose which projects best suit the focus of their class and give their students the chance to show how well they can tie together the concepts they have learned in that chapter. Some of these projects include online research or activities that students must perform to analyze data and make conclusions.
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CRITICAL THINKING FEATURE: Concept Investigations. These directed-discovery activities are ideal as group work during class, incorporated as part of a lecture, or as individual assignments to investigate concepts further. Inserted at key points within the chapter, each Concept Investigation helps students explore patterns and relationships such as the graphical and algebraic representations of the concepts being studied.
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Margin Notes. The margin contains three kinds of notes to help students with specific types of information: Skill Connections provide a just-in-time review of core mathematical concepts, reinforcing student skill sets; Connecting the Concepts reinforce a concept by showing relationships across sections; and specific vocabulary of mathematics and the applications are helpfully defined and reinforced through margin notes called "What's That Mean?"
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Reinforcement of Visual Learning through Graphs and Tables. Graphs and tables are used throughout the book to organize data, examine trends, and have students gain knowledge of graphing linear and quadratic equations. The graphical and numeric approach helps support visual learners, incorporating realistic situations into the text and reinforcing the graphs and data that students see in their daily lives.
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Exercise Sets. The exercise sets include a balance of both applications and skill-based problems developed with a clear level of progression in terms of difficulty level. Some exercise sets begin with a few warm-up problems before focusing on applications. Exercise sets typically end with additional skill practice to help students master the concepts when needed. A balance of graphical, numerical, and algebraic skill problems is included throughout the book to help students see mathematics from several different views.
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Flexible Use of the Calculator. The core exercises do not require calculator usage, although the book has been written to support the use of a scientific calculator. Calculator Details Margin boxes will appear as necessary to instruct students on the correct use of a scientific calculator. In certain Concept Investigations, the calculator is used to help students with arithmetic so that they may concentrate on looking for patterns
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