Intermediate Algebra: Concepts and Applications, 11th edition

Published by Pearson (February 20, 2024) © 2024

  • Marvin L. Bittinger Indiana University Indianapolis
  • David J. Ellenbogen Community College of Vermont
  • Barbara L. Johnson Indiana University Indianapolis
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Intermediate Algebra: Concepts and Applications helps you understand and apply mathematical concepts, preparing you to transition from skills-based math to the more concept-oriented math you'll need for college-level courses. The authors' approach encourages the critical-thinking skills needed to achieve this: the ability to reason mathematically, communicate mathematically, and identify/solve mathematical problems.

The 11th Edition features carefully reviewed and revised narrative, examples and exercises. Abundant new features include more resources for review and preparation, while maintaining the strong emphasis on critical thinking and making connections between concepts.

  • J. Just-in-Time Review
  • J.1 The Factors of a Number
  • J.2 Prime Factorizations
  • J.3 Multiplying and Dividing with Fraction Notation
  • J.4 Adding and Subtracting with Fraction Notation
  • J.5 Converting between Percent Notation and Decimal Notation
  • J.6 Unit Conversion
  • J.7 Order for the Real Numbers
  • J.8 Graphing Inequalities on the Number Line
  • J.9 Exponential Notation
  • J.10 Order of Operations
  • J.11 Evaluating Algebraic Expressions
  • J.12 Equivalent Fraction Expressions
  • J.13 Combining Like Terms
  • J.14 Removing Parentheses and Combining Like Terms
  • 1. Algebra and Problem Solving
  • 1.1 Some Basics of Algebra
  • 1.2 Operations and Properties of Real Numbers
  • 1.3 Solving Equations
  • Mid-Chapter Review
  • 1.4 Introduction to Problem Solving
  • 1.5 Formulas, Models, and Geometry
  • Connecting the Concepts
  • 1.6 Properties of Exponents
  • Exploring the Concept
  • 1.7 Scientific Notation
  • Translating for Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 1
  • Test: Chapter 1
  • 2. Graphs, Functions, and Linear Equations
  • 2.1 Graphs
  • 2.2 Functions
  • 2.3 Linear Functions: Slope, Graphs, and Models
  • Exploring the Concept
  • 2.4 Another Look at Linear Graphs
  • Algebraic Graphical Connection
  • Mid-Chapter Review
  • 2.5 Equations of Lines and Modeling
  • Connecting the Concepts
  • 2.6 The Algebra of Functions
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 2
  • Test: Chapter 2
  • Cumulative Review: Chapters 1-2
  • 3. Systems of Linear Equations and Problem Solving
  • 3.1 Systems of Equations in Two Variables Algebraic Graphical Connection
  • 3.2 Solving by Substitution or Elimination Connecting the Concepts
  • 3.3 Solving Applications: Systems of Two Equations Exploring the Concept
  • 3.4 Systems of Equations in Three Variables Mid-Chapter Review
  • 3.5 Solving Applications: Systems of Three Equations
  • 3.6 Matrices
  • 3.7 Elimination Using Matrices
  • 3.8 Determinants and Cramer's Rule
  • 3.9 Business and Economics Applications
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 3
  • Test: Chapter 3
  • Cumulative Review: Chapters 1-3
  • 4. Inequalities and Problem Solving
  • 4.1 Inequalities and Applications
  • 4.2 Intersections, Unions, and Compound Inequalities
  • 4.3 Absolute-Value Equations and Inequalities
  • Exploring the Concept
  • Mid-Chapter Review
  • 4.4 Inequalities in Two Variables
  • Connecting the Concepts
  • 4.5 Applications Using Linear Programming
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 4
  • Test: Chapter 4
  • Cumulative Review: Chapters 1-4
  • 5. Polynomials and Polynomial Functions
  • 5.1 Introduction to Polynomials and Polynomial Functions
  • 5.2 Multiplication of Polynomials
  • Algebraic Graphical Connection
  • 5.3 Common Factors and Factoring by Grouping
  • 5.4 Factoring Trinomials
  • Mid-Chapter Review
  • 5.5 Factoring Perfect-Square Trinomials and Differences of Squares
  • 5.6 Factoring Sums or Differences of Cubes
  • 5.7 Factoring: A General Strategy
  • 5.8 Applications of Polynomial Equations
  • Exploring the Concept
  • Connecting the Concepts
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 5
  • Test: Chapter 5
  • Cumulative Review: Chapters 1-5
  • 6. Rational Expressions, Equations, and Functions
  • 6.1 Rational Expressions and Functions: Multiplying and Dividing
  • 6.2 Rational Expressions and Functions: Adding and Subtracting
  • 6.3 Complex Rational Expressions
  • 6.4 Rational Equations
  • Algebraic Graphical Connection
  • Connecting the Concepts
  • Mid-Chapter Review
  • 6.5 Solving Applications Using Rational Equations
  • 6.6 Division of Polynomials
  • 6.7 Synthetic Division and the Remainder Theorem
  • 6.8 Formulas, Applications, and Variation
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 6
  • Test: Chapter 6
  • Cumulative Review: Chapters 1-6
  • 7. Exponents and Radicals
  • 7.1 Radical Expressions and Functions
  • 7.2 Rational Numbers as Exponents
  • 7.3 Multiplying Radical Expressions
  • 7.4 Dividing Radical Expressions
  • 7.5 Expressions Containing Several Radical Terms
  • Connecting the Concepts
  • Mid-Chapter Review
  • 7.6 Solving Radical Equations
  • 7.7 The Distance Formula, the Midpoint Formula, and Other Applications
  • 7.8 The Complex Numbers
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 7
  • Test: Chapter 7
  • Cumulative Review: Chapters 1-7<
  • 8. Quadratic Functions and Equations
  • 8.1 Quadratic Equations
  • Algebraic Graphical Connection
  • 8.2 The Quadratic Formula
  • Connecting the Concepts
  • 8.3 Studying Solutions of Quadratic Equations
  • 8.4 Applications Involving Quadratic Equations
  • 8.5 Equations Reducible to Quadratic
  • Mid-Chapter Review
  • 8.6 Quadratic Functions and Their Graphs
  • 8.7 More About Graphing Quadratic Functions
  • Algebraic Graphical Connection
  • 8.8 Problem Solving and Quadratic Functions
  • 8.9 Polynomial Inequalities and Rational Inequalities
  • Algebraic Graphical Connection
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 8
  • Test: Chapter 8
  • Cumulative Review: Chapters 1-8
  • 9. Exponential Functions and Logarithmic Functions
  • 9.1 Composite Functions and Inverse Functions
  • 9.2 Exponential Functions
  • 9.3 Logarithmic Functions
  • 9.4 Properties of Logarithmic Functions
  • Mid-Chapter Review
  • 9.5 Common Logarithms and Natural Logarithms
  • 9.6 Solving Exponential Equations and Logarithmic Equations
  • Connecting the Concepts
  • 9.7 Applications of Exponential Functions and Logarithmic Functions
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 9
  • Test: Chapter 9
  • Cumulative Review: Chapters 1-9
  • 10. Conic Sections
  • 10.1 Conic Sections: Parabolas and Circles
  • 10.2 Conic Sections: Ellipses
  • 10.3 Conic Sections: Hyperbolas
  • Connecting the Concepts
  • Mid-Chapter Review
  • 10.4 Nonlinear Systems of Equations
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 10
  • Test: Chapter 10
  • Cumulative Review: Chapters 1-10
  • 11. Sequences, Series, and the Binomial Theorem
  • 11.1 Sequences and Series
  • 11.2 Arithmetic Sequences and Series
  • 11.3 Geometric Sequences and Series
  • Connecting the Concepts
  • Mid-Chapter Review
  • 11.4 The Binomial Theorem
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises: Chapter 9
  • Test: Chapter 9
  • Cumulative Review: Chapters 1-9
Answers
Glossary
Subject Index
Index of Applications

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