Larson IS student success. ELEMENTARY AND INTERMEDIATE ALGEBRA: ALGEBRA WITHIN REACH owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Sixth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples and exercises.
1. THE REAL NUMBER SYSTEM.
Real Numbers: Order and Absolute Value. Adding and Subtracting Integers. Multiplying and Dividing Integers. Mid-Chapter Quiz. Study Skills in Action. Operations with Rational Numbers. Exponents, Order of Operations, and Properties of Real Numbers. Chapter Summary. Review Exercises. Chapter Test.
2. FUNDAMENTALS OF ALGEBRA.
Writing and Evaluating Algebraic Expressions. Simplifying Algebraic Expressions. Mid-Chapter Quiz. Study Skills in Action. Algebra and Problem Solving. Introduction to Equations. Chapter Summary. Review Exercises. Chapter Test.
3. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
Solving Linear Equations. Equations That Reduce to Linear Form. Problem Solving with Percents. Ratios and Proportions. Mid-Chapter Quiz. Study Skills in Action. Geometric and Scientific Applications. Linear Inequalities. Absolute Value Equations and Inequalities. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 1-3.
4. GRAPHS AND FUNCTIONS.
Ordered Pairs and Graphs. Graphs of Equations in Two Variables. Relations, Functions, and Graphs. Mid-Chapter Quiz. Study Skills in Action. Slope and Graphs of Linear Equations. Equations of Lines. Graphs of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test.
5. EXPONENTS AND POLYNOMIALS.
Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Mid-Chapter Quiz. Study Skills in Action. Multiplying Polynomials: Special Products. Dividing Polynomials and Synthetic Division. Chapter Summary. Review Exercises. Chapter Test.
6. FACTORING AND SOLVING EQUATIONS.
Factoring Polynomials with Common Factors. Factoring Trinomials. More About Factoring Trinomials. Mid-Chapter Quiz. Study Skills in Action. Factoring Polynomials with Special Forms. Solving Polynomial Equations by Factoring. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 4-6.
7. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS.
Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Mid-Chapter Quiz. Study Skills in Action. Complex Fractions. Solving Rational Equations. Applications and Variation. Chapter Summary. Review Exercises. Chapter Test.
8. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Solving Systems of Equations by Graphing and Substitution. Solving Systems of Equations by Elimination. Linear Systems in Three Variables. Mid-Chapter Quiz. Study Skills in Action. Matrices and Linear Systems. Determinants and Linear Systems. Systems of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test.
9. RADICALS AND COMPLEX NUMBERS.
Radicals and Rational Exponents. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Mid-Chapter Quiz. Study Skills in Action. Multiplying and Dividing Radical Expressions. Radical Equations and Applications. Complex Numbers. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 7-9.
10. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
Solving Quadratic Equations: Factoring and Special Forms. Completing the Square. The Quadratic Formula. Mid-Chapter Quiz. Study Skills in Action. Graphs of Quadratic Functions. Applications of Quadratic Equations. Quadratic and Rational Inequalities. Chapter Summary. Review Exercises. Chapter Test.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Mid-Chapter Quiz. Study Skills in Action. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Applications. Chapter Summary. Review Exercises. Chapter Test.
12. CONICS.
Circles and Parabolas. Ellipses. Mid-Chapter Quiz. Study Skills in Action. Hyperbolas. Solving Nonlinear Systems of Equations. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 10-12.
13. SEQUENCES, SERIES, AND THE BINOMIAL THEOREM.
Sequences and Series. Arithmetic Sequences. Mid-Chapter Quiz. Study Skills in Action. Geometric Sequences and Series. The Binomial Theorem. Chapter Summary. Review Exercises. Chapter Test.
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Ron Larson
Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also written numerous acclaimed textbooks, including the best-selling Calculus Series published by Cengage. He is the recipient of the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS, the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS and the 2017 William Holmes McGuffey Longevity Award for CALCULUS. He also received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.
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As opposed to all exercises appearing at the end of each section, relevant exercises now appear at the bottom of the same page as the corresponding examples, allowing students to practice each concept immediately after it is presented. Additional exercises still appear at the end of the section, allowing for further practice.
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End-of-section exercises include a Concept Summary at the top of the page, providing an additional example and highlighting a key idea of the section by showing the what, the how, and the why.
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A Concept Summary Check appears at the end of each Concept Summary providing exercises that ask students to critically think about the concept presented, further reinforcing the key ideas of the section.
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The examples and exercises have been updated for currency and to incorporate reviewer feedback.
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Study Skills in Action now appear in a two-page spread, along with the Mid-Chapter Quiz.
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Emphasis on study skills and self-responsibility--Each chapter presents a study skill essential to success in mathematics called Study Skills in Action, followed by a Smart Study Strategy that offers concrete ways that students can help themselves with the skill. These Study Skills were written by noted study skills expert, Kimberly Nolting.
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Cumulative Review exercises--Each exercise set (except those in Chapter 1) is followed by exercises that cover concepts from previous sections. This serves as a review for students and also helps them connect old concepts with new concepts.
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Emphasis on learning objectives and outcomes--Every section begins with a list of learning objectives to show what will be covered in each section.
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Detailed, titled examples to develop concepts--Each example has been carefully chosen to illustrate a particular mathematical concept or problem-solving technique. The examples cover a wide variety of problems and are titled for easy reference. Many include detailed, step-by-step solutions with side comments that explain the key steps of the solution process.
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Real-world applications--A wide variety of real-life applications are integrated throughout the text in examples and exercises, demonstrating the relevance of algebra in the real world. Many of the applications use current, real data.
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Straightforward problem-solving approach--The text provides many opportunities for students to sharpen problem-solving skills. In both the examples and the exercises, students are asked to apply verbal, numerical, analytical, and graphical approaches to problem solving. The authors' five-step strategy for solving applied problems begins with constructing a verbal model and ends with checking the answer.
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Plentiful exercises and tests--Graded exercise sets are grouped into three categories, offering a diversity of computational, conceptual, and applied problems to accommodate many learning styles. Detailed solutions to odd-numbered exercises are in the Student Solutions Manual; answers to odd-numbered exercises are in the back of the text.
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Chapter-ending Review Exercises contain skill-building and application exercises, grouped by learning objectives. Mid-Chapter Quizzes, Chapter Tests, and Cumulative Tests provide additional opportunities to practice skills.
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In-text learning aids--Definitions and rules are highlighted, Study Tips offer suggestions for studying algebra and point out common errors, and Technology Tips point out where the use of a graphing calculator is helpful in visualizing concepts and solving the problem.
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Learning objectives to focus your study--Every section begins with a list of learning objectives that show you what you will learn in each section.
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Real-world applications--A wide variety of real-life applications are integrated throughout the text in examples and exercises, demonstrating the relevance of algebra in the real world. Many of the applications use current, real data.
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Detailed examples to illustrate concepts--Each example has been carefully chosen to illustrate a particular mathematical concept or problem-solving technique. The examples cover a wide variety of problems and are titled for easy reference. Many include detailed, step-by-step solutions with side comments that explain the key steps of the solution process.
INTERNAL DIPLOMA TEST ELEM+INTERMED ALG
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PowerLecture with ExamView for Larson's Elementary and Intermediate Algebra: Algebra Within Reach, 6th
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Text Specific Video for Larson's Elementary and Intermediate Algebra: Algebra Within Reach, 6th
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