Beginning & Intermediate Algebra, 6th edition

Published by Pearson (July 9, 2021) © 2022

  • John Tobey North Shore Community College
  • Jeffrey Slater North Shore Community College
  • Jamie Blair Orange Coast College
  • Jennifer Crawford Normandale Community College
  • Anne Fischer Tulsa Community College
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Beginning & Intermediate Algebra is with you every step of the way, helping you build essential skills by breaking mathematics into manageable pieces. The authors act as your own personal math coach, supporting you at every turn with exercises, videos and examples built specifically to help with the trickiest problems. Emphasis on the use of math in careers and financial literacy helps to answer the question “when will I ever use this?” The 6th Edition updates Applications exercises and examples throughout, and approximately 25% of the applications have been contributed by actual students based on scenarios encountered in their home or work lives. A new Steps to Success Index highlights study skills to help you succeed in the course.

Preface

Diagnostic Pretest

0. Prealgebra Review

  • Career Opportunities
  • 0.1 Simplifying Fractions
  • 0.2 Adding and Subtracting Fractions
  • 0.3 Multiplying and Dividing Fractions
  • 0.4 Using Decimals Use Math to Save Money
  • 0.5 Percents, Rounding, and Estimating
  • 0.6 Using the Mathematics Blueprint for Problem Solving Career Exploration Problems
  • Chapter 0 Organizer
  • Chapter 0 Review Problems
  • How Am I Doing? Chapter 0 Test
  • Math Coach

1. Real Numbers and Variables

  • Career Opportunities
  • 1.1 Adding Real Numbers
  • 1.2 Subtracting Real Numbers
  • 1.3 Multiplying and Dividing Real Numbers
  • 1.4 Exponents
  • 1.5 The Order of Operations Use Math to Save Money
  • 1.6 Using the Distributive Property to Simplify Algebraic Expressions
  • 1.7 Combining Like Terms
  • 1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas
  • 1.9 Grouping Symbols Career Exploration Problems
  • Chapter 1 Organizer
  • Chapter 1 Review Problems
  • How Am I Doing? Chapter 1 Test
  • Math Coach

2. Equations, Inequalities, and Applications

  • Career Opportunities
  • 2.1 The Addition Principle of Equality
  • 2.2 The Multiplication Principle of Equality
  • 2.3 Using the Addition and Multiplication Principles Together
  • 2.4 Solving Equations with Fractions Use Math to Save Money
  • 2.5 Translating English Phrases into Algebraic Expressions
  • 2.6 Using Equations to Solve Word Problems
  • 2.7 Solving Word Problems: The Value of Money and Percents
  • 2.8 Solving Inequalities in One Variable Career Exploration Problems
  • Chapter 2 Organizer
  • Chapter 2 Review Problems
  • How Am I Doing? Chapter 2 Test
  • Math Coach

3. Graphing and Functions

  • Career Opportunities
  • 3.1 The Rectangular Coordinate System
  • 3.2 Graphing Linear Equations
  • 3.3 The Slope of a Line Use Math to Save Money
  • 3.4 Writing the Equation of a Line
  • 3.5 Graphing Linear Inequalities
  • 3.6 Functions Career Exploration Problems
  • Chapter 3 Organizer
  • Chapter 3 Review Problems
  • How Am I Doing? Chapter 3 Test
  • Math Coach
  • Cumulative Test for Chapters 0-3

4. Systems of Linear Equations and Inequalities

  • Career Opportunities
  • 4.1 Systems of Linear Equations in Two Variables
  • 4.2 Systems of Linear Equations in Three Variables Use Math to Save Money
  • 4.3 Applications of Systems of Linear Equations
  • 4.4 Systems of Linear Inequalities Career Exploration Problems
  • Chapter 4 Organizer
  • Chapter 4 Review Problems
  • How Am I Doing? Chapter 4 Test
  • Math Coach

5. Exponents and Polynomials

  • Career Opportunities
  • 5.1 The Rules of Exponents
  • 5.2 Negative Exponents and Scientific Notation
  • 5.3 Fundamental Polynomial Operations Use Math to Save Money
  • 5.4 Multiplying Polynomials
  • 5.5 Multiplication: Special Cases
  • 5.6 Dividing Polynomials Career Exploration Problems
  • Chapter 5 Organizer
  • Chapter 5 Review Problems
  • How Am I Doing? Chapter 5 Test
  • Math Coach

6. Factoring

  • Career Opportunities
  • 6.1 Removing a Common Factor
  • 6.2 Factoring by Grouping
  • 6.3 Factoring Trinomials of the Form x2 + bx + c
  • 6.4 Factoring Trinomials of the Form ax2 + bx + c Use Math to Save Money
  • 6.5 Special Cases of Factoring
  • 6.6 A Brief Review of Factoring
  • 6.7 Solving Quadratic Equations by Factoring Career Exploration Problems
  • Chapter 6 Organizer
  • Chapter 6 Review Problems
  • How Am I Doing? Chapter 6 Test
  • Math Coach
  • Cumulative Test for Chapters 0-6

7. Rational Expressions and Equations

  • Career Opportunities
  • 7.1 Simplifying Rational Expressions
  • 7.2 Multiplying and Dividing Rational Expressions
  • 7.3 Adding and Subtracting Rational Expressions Use Math to Save Money
  • 7.4 Simplifying Complex Rational Expressions
  • 7.5 Solving Equations Involving Rational Expressions
  • 7.6 Ratio, Proportion, and Other Applied Problems Career Exploration Problems
  • Chapter 7 Organizer
  • Chapter 7 Review Problems
  • How Am I Doing? Chapter 7 Test
  • Math Coach

T. A Transition from Beginning to Intermediate Algebra

  • T.1 Integer Exponents, Square Roots, Order of Operations, and Scientific Notation
  • T.2 Polynomial Operations
  • T.3 Factoring Polynomials
  • T.4 Special Cases of Factoring
  • T.5 The Point-Slope Form of a Line

8. Rational Exponents and Radicals

  • Career Opportunities
  • 8.1 Rational Exponents
  • 8.2 Radical Expressions and Functions
  • 8.3 Simplifying, Adding, and Subtracting Radicals
  • 8.4 Multiplying and Dividing Radicals Use Math to Save Money
  • 8.5 Radical Equations
  • 8.6 Complex Numbers
  • 8.7 Variation Career Exploration Problems
  • Chapter 8 Organizer
  • Chapter 8 Review Problems
  • How Am I Doing? Chapter 8 Test
  • Math Coach

9. Quadratic Equations and Inequalities

  • Career Opportunities
  • 9.1 Quadratic Equations
  • 9.2 The Quadratic Formula and Solutions to Quadratic Equations
  • 9.3 Equations That Can Be Transformed into Quadratic Form Use Math to Save Money
  • 9.4 Formulas and Applications
  • 9.5 Quadratic Functions
  • 9.6 Compound and Quadratic Inequalities
  • 9.7 Absolute Value Equations and Inequalities Career Exploration Problems
  • Chapter 9 Organizer
  • Chapter 9 Review Problems
  • How Am I Doing? Chapter 9 Test
  • Math Coach
  • Cumulative Test for Chapters 0-9

10. The Conic Sections

  • Career Opportunities
  • 10.1 The Distance Formula and the Circle
  • 10.2 The Parabola
  • 10.3 The Ellipse Use Math to Save Money
  • 10.4 The Hyperbola
  • 10.5 Nonlinear Systems of Equations Career Exploration Problems
  • Chapter 10 Organizer
  • Chapter 10 Review Problems
  • How Am I Doing? Chapter 10 Test
  • Math Coach

11. Additional Properties of Functions

  • Career Opportunities
  • 11.1 Function Notation
  • 11.2 General Graphing Procedures for Functions Use Math to Save Money
  • 11.3 Algebraic Operations on Functions
  • 11.4 Inverse of a Function Career Exploration Problems
  • Chapter 11 Organizer
  • Chapter 11 Review Problems
  • How Am I Doing? Chapter 11 Test
  • Math Coach

12. Logarithmic and Exponential Functions

  • Career Opportunities
  • 12.1 The Exponential Function
  • 12.2 The Logarithmic Function
  • 12.3 Properties of Logarithms Use Math to Save Money
  • 12.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms
  • 12.5 Exponential and Logarithmic Equations Career Exploration Problems
  • Chapter 12 Organizer
  • Chapter 12 Review Problems
  • How Am I Doing? Chapter 12 Test
  • Math Coach
  • Practice Final Examination

Appendices

  • A: Practice with Operations of Whole Numbers
  • B: Determinants and Cramer's Rule
  • C: Solving Systems of Linear Equations Using Matrices
  • D: Sets

Solutions to Student Practice Problems

Answers to Selected Exercises

Beginning and Intermediate Algebra Glossary

Photo Credits

Subject Index

Index of Applications

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