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Elementary and Intermediate Algebra: Concepts and Applications, 8th edition

Published by Pearson (March 11, 2024) © 2024

  • Marvin L. Bittinger Indiana University Purdue University Indianapolis
  • David J. Ellenbogen Community College of Vermont
  • Barbara L. Johnson Indiana University Indianapolis
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Elementary & Intermediate Algebra: Concepts & 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 8th 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 Prime Factorizations
  • J.2 Greatest Common Factor
  • J.3 Least Common Multiple
  • J.4 Equivalent Expressions and Fraction Notation
  • J.5 Mixed Numerals
  • J.6 Converting from Decimal Notation to Fraction Notation
  • J.7 Adding and Subtracting Decimal Notation
  • J.8 Multiplying and Dividing Decimal Notation
  • J.9 Converting from Fraction Notation to Decimal Notation
  • J.10 Rounding with Decimal Notation
  • J.11 Converting between Percent Notation and Decimal Notation
  • J.12 Converting between Percent Notation and Fraction Notation
  • J.13 Order of Operations J
  • J.14 Unit Conversion
  • 1. Introduction to Algebraic Expressions
  • 1.1 Introduction to Algebra
  • 1.2 The Commutative, Associative, and Distributive Laws
  • 1.3 Fraction Notation
  • 1.4 Positive and Negative Real Numbers
  • Exploring the Concept
  • Mid-Chapter Review
  • 1.5 Addition of Real Numbers
  • 1.6 Subtraction of Real Numbers
  • 1.7 Multiplication and Division of Real Numbers
  • Connecting the Concepts
  • 1.8 Exponential Notation and Order of Operations
  • Translating for Success
  • Collaborative Activities
  • Study Summary
  • Review Exercises
  • Test
  • 2. Equations, Inequalities, and Problem Solving
  • 2.1 Solving Equations
  • 2.2 Using the Principles Together
  • 2.3 Formulas
  • Mid-Chapter Review
  • 2.4 Applications with Percent
  • 2.5 Problem Solving
  • 2.6 Solving Inequalities
  • Exploring the Concept
  • Connecting the Concepts
  • 2.7 Solving Applications with Inequalities
  • Translating for Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-2
  • 3. Introduction to Graphing
  • 3.1 Reading Graphs, Plotting Points, and Scaling Graphs
  • 3.2 Graphing Linear Equations
  • 3.3 Graphing and Intercepts
  • 3.4 Rates
  • 3.5 Slope
  • Mid-Chapter Review
  • 3.6 Slope–Intercept Form
  • 3.7 Point–Slope Form and Equations of Lines
  • Connecting the Concepts
  • Visualizing for Success
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-3
  • 4. Polynomials
  • 4.1 Exponents and Their Properties
  • 4.2 Negative Exponents and Scientific Notation
  • Connecting the Concepts
  • 4.3 Polynomials
  • 4.4 Addition and Subtraction of Polynomials
  • Mid-Chapter Review
  • 4.5 Multiplication of Polynomials
  • 4.6 Special Products
  • Exploring the Concept
  • 4.7 Polynomials in Several Variables
  • 4.8 Division of Polynomials
  • Visualizing for Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-4
  • 5. Polynomials and Factoring
  • 5.1 Introduction to Factoring
  • 5.2 Factoring Trinomials of the Type x2 + bx + c
  • 5.3 Factoring Trinomials of the Type ax2 + bx + c
  • 5.4 Factoring Perfect-Square Trinomials and Differences of Squares
  • Mid-Chapter Review
  • 5.5 Factoring Sums or Differences of Cubes
  • 5.6 Factoring: A General Strategy
  • 5.7 Solving Quadratic Equations by Factoring
  • Exploring the Concept
  • Connecting the Concepts
  • 5.8 Solving Applications
  • Translating for Success
  • Collaborative Activity
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-5
  • 6. Rational Expressions and Equations
  • 6.1 Rational Expressions
  • 6.2 Multiplication and Division
  • 6.3 Addition, Subtraction, and Least Common Denominators
  • 6.4 Addition and Subtraction with Unlike Denominators
  • Mid-Chapter Review
  • 6.5 Complex Rational Expressions
  • 6.6 Rational Equations
  • Solving Rational Equations
  • Connecting the Concepts
  • 6.7 Applications Using Rational Equation and Proportions
  • Exploring the Concept
  • Translating for Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-6
  • 7. Functions and Graphs
  • 7.1 Introduction to Functions
  • 7.2 Domain and Range
  • Connecting the Concepts
  • 7.3 Graphs of Functions
  • Mid-Chapter Review
  • 7.4 The Algebra of Functions
  • 7.5 Formulas, Applications, and Variation
  • Visualizing for Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-7
  • 8. Systems of Linear Equations and Problem Solving
  • 8.1 Systems of Equations in Two Variables
  • Algebraic Graphical Connection
  • 8.2 Solving by Substitution or Elimination
  • Connecting the Concepts
  • 8.3 Solving Applications: Systems of Two Equations
  • Exploring the Concept
  • 8.4 Systems of Equations in Three Variables
  • Mid-Chapter Review
  • 8.5 Solving Applications: Systems of Three Equations
  • 8.6 Matrices
  • 8.7 Elimination Using Matrices
  • 8.8 Determinants and Cramer's Rule
  • 8.9 Business and Economics Applications
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-8
  • 9. Inequalities and Problem Solving
  • 9.1 Inequalities and Applications
  • 9.2 Intersections, Unions, and Compound Inequalities
  • 9.3 Absolute-Value Equations and Inequalities
  • Exploring the Concept
  • Mid-Chapter Review
  • 9.4 Inequalities in Two Variables
  • Connecting the Concepts
  • 9.5 Applications Using Linear Programming
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-9
  • 10. Exponents and Radicals
  • 10.1 Radical Expressions and Functions
  • 10.2 Rational Numbers as Exponents
  • 10.3 Multiplying Radical Expressions
  • 10.4 Dividing Radical Expressions
  • 10.5 Expressions Containing Several Radical Terms
  • Connecting the Concepts
  • Mid-Chapter Review
  • 10.6 Solving Radical Equations
  • 10.7 The Distance Formula, the Midpoint Formula, and Other Applications
  • 10.8 The Complex Numbers
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-10
  • 11. Quadratic Functions and Equations
  • 11.1 Quadratic Equations
  • Algebraic Graphical Connection
  • 11.2 The Quadratic Formula
  • Connecting the Concepts
  • 11.3 Studying Solutions of Quadratic Equations
  • 11.4 Applications Involving Quadratic Equations
  • 11.5 Equations Reducible to Quadratic
  • Mid-Chapter Review
  • 11.6 Quadratic Functions and Their Graphs
  • Exploring the Concept
  • 11.7 More About Graphing Quadratic Functions
  • Algebraic Graphical Connection
  • 1.8 Problem Solving and Quadratic Functions
  • 11.9 Polynomial Inequalities and Rational Inequalities
  • Algebraic Graphical Connection
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-11
  • 12. Exponential Functions and Logarithmic Functions
  • 12.1 Composite Functions and Inverse Functions
  • Exploring the Concept
  • 12.2 Exponential Functions
  • 12.3 Logarithmic Functions
  • 12.4 Properties of Logarithmic Functions
  • Mid-Chapter Review
  • 12.5 Common Logarithms and Natural Logarithms
  • 12.6 Solving Exponential Equations and Logarithmic Equations
  • Connecting the Concepts
  • 12.7 Applications of Exponential Functions and Logarithmic Functions
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-12
  • 13. Conic Sections
  • 13.1 Conic Sections: Parabolas and Circles
  • 13.2 Conic Sections: Ellipses
  • 13.3 Conic Sections: Hyperbolas
  • Exploring the Concept
  • Connecting the Concepts
  • Mid-Chapter Review
  • 13.4 Nonlinear Systems of Equations
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-13<
  • 14. Sequences, Series, and the Binomial Theorem
  • 14.1 Sequences and Series
  • 14.2 Arithmetic Sequences and Series
  • 14.3 Geometric Sequences and Series
  • Exploring the Concept
  • Connecting the Concepts
  • Mid-Chapter Review
  • 14.4 The Binomial Theorem
  • Visualizing For Success
  • Collaborative Activity
  • Decision-Making Connection
  • Study Summary
  • Review Exercises
  • Test
  • Cumulative Review: Chapters 1-14
  • R. Elementary Algebra Review
  • R.1 Introduction to Algebraic Expressions
  • R.2 Equations, Inequalities, and Problem Solving
  • R.3 Introduction to Graphing
  • R.4 Polynomials
  • R.5 Polynomials and Factoring
  • R.6 Rational Expressions and Equations
  • Appendixes
  • A. Mean, Median, and Mode
  • B. Sets
  • C. Synthetic Division and the Remainder Theorem
Photo Credits
Answer
Glossary
Index
Index of Applications

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