Beginning and Intermediate Algebra with Applications & Visualization, 4th edition

Published by Pearson (January 1, 2021) © 2018

  • Gary K. Rockswold Minnesota State University, Mankato
  • Terry A. Krieger Rochester Community and Technical College

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ISBN-13: 9780137442676
Beginning and Intermediate Algebra with Applications & Visualization
Published 2021

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For courses in Prealgebra & Beginning Algebra.

The Rockswold/Krieger algebra series fosters conceptual understanding by developing concepts in context through the use of applications, multiple representations, and visualization. By seeing the concept in context before being given the the mathematical abstraction, students make math part of their own experiences instead of just memorizing techniques. The authors believe this approach deepens conceptual understanding and better prepares students for future math courses and life. The new edition continues to bring concepts to life with even more opportunities for students to visualize the math in real-world contexts-–and so, learn key critical-thinking and problem-solving skills-–with new features in the text and MyLab Math. 

                                                                                                                              

Also Available with MyLab Math.

MyLab Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The 4th Edition continues to help students develop conceptual understanding and bring key concepts to life with content and assignments that reflect the authors’ approach, including new Section Introduction videos and See the Concept videos with assessment. New Skill Builder assignments offer adaptive practice to build students’ foundational skills, and new workspace assignments allow students to show their mathematical reasoning as they progress step-by-step, with specific feedback at each step in the problem-solving process that adjusts to their path. 


Table of Contents

  1. Introduction to Algebra
    • 1.1 Numbers, Variables, and Expressions
    • 1.2 Fractions
    • 1.3 Exponents and Order of Operations
    • 1.4 Real Numbers and the Number Line
    • 1.5 Addition and Subtraction of Real Numbers
    • 1.6 Multiplication and Division of Real Numbers
    • 1.7 Properties of Real Numbers
    • 1.8 Simplifying and Writing Algebraic Expressions
  2. Linear Equations and Inequalities
    • 2.1 Introduction to Equations
    • 2.2 Linear Equations
    • 2.3 Introduction to Problem Solving
    • 2.4 Formulas
    • 2.5 Unit Analysis
    • 2.6 Linear Inequalities
  3. Graphing Equations
    • 3.1 Introduction to Graphing
    • 3.2 Equations in Two Variables
    • 3.3 Intercepts; Horizontal and Vertical Lines
    • 3.4 Slope and Rates of Change
    • 3.5 Slope-Intercept Form
    • 3.6 Point-Slope Form
    • 3.7 Introduction to Modeling
  4. Systems of Linear Equations in Two Variables
    • 4.1 Solving Systems of Linear Equations Graphically and Numerically
    • 4.2 Solving Systems of Linear Equations by Substitution
    • 4.3 Solving Systems of Linear Equations by Elimination
    • 4.4 Systems of Linear Inequalities
  5. Polynomials and Exponents
    • 5.1 Rules for Exponents
    • 5.2 Addition and Subtraction of Polynomials
    • 5.3 Multiplication of Polynomials
    • 5.4 Special Products
    • 5.5 Integer Exponents and the Quotient Rule
    • 5.6 Division of Polynomials
  6. Factoring Polynomials and Solving Equations
    • 6.1 Introduction to Factoring
    • 6.2 Factoring Trinomials I (x2 + bx + c)
    • 6.3 Factoring Trinomials II (ax2 + bx + c)
    • 6.4 Special Types of Factoring
    • 6.5 Summary of Factoring
    • 6.6 Solving Equations by Factoring I (Quadratics)
    • 6.7 Solving Equations by Factoring II (Higher Degree)
  7. Rational Expressions
    • 7.1 Introduction to Rational Expressions
    • 7.2 Multiplication and Division of Rational Expressions
    • 7.3 Addition and Subtraction with Like Denominators
    • 7.4 Addition and Subtraction with Unlike Denominators
    • 7.5 Complex Fractions
    • 7.6 Rational Equations and Formulas
    • 7.7 Proportions and Variation
  8. Introduction to Functions
    • 8.1 Functions and Their Representations
    • 8.2 Linear Functions
    • 8.3 Compound Inequalities and Piecewise-Defined Functions
    • 8.4 Other Functions and Their Properties
    • 8.5 Absolute Value Equations and Inequalities
  9. Systems of Linear Equations
    • 9.1 Systems of Linear Equations in Three Variables
    • 9.2 Matrix Solutions of Linear Systems
    • 9.3 Determinants
  10. Radical Expressions and Functions
    • 10.1 Radical Expressions and Functions
    • 10.2 Rational Exponents
    • 10.3 Simplifying Radical Expressions
    • 10.4 Operations on Radical Expressions
    • 10.5 More Radical Functions
    • 10.6 Equations Involving Radical Expressions
    • 10.7 Complex Numbers
  11. Quadratic Functions and Equations
    • 11.1 Quadratic Functions and Their Graphs
    • 11.2 Transformations and Translations of Parabolas
    • 11.3 Quadratic Equations
    • 11.4 The Quadratic Formula
    • 11.5 Quadratic Inequalities
    • 11.6 Equations in Quadratic Form
  12. Exponential and Logarithmic Functions
    • 12.1 Composite and Inverse Functions
    • 12.2 Exponential Functions
    • 12.3 Logarithmic Functions
    • 12.4 Properties of Logarithms
    • 12.5 Exponential and Logarithmic Equations
  13. Conic Sections
    • 13.1 Parabolas and Circles
    • 13.2 Ellipses and Hyperbolas
    • 13.3 Nonlinear Systems of Equations and Inequalities
  14. Sequences and Series
    • 14.1 Sequences
    • 14.2 Arithmetic and Geometric Sequences
    • 14.3 Series
    • 14.4 The Binomial Theorem

Appendix A. Using the Graphing Calculator

Appendix B. Sets

Appendix C. Linear Programming

Appendix D. Synthetic Division

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