# Beginning & Intermediate Algebra, 6th edition

• John Tobey
• Jeffrey Slater
• Jamie Blair
• Jenny Crawford
• Anne Fischer

## Overview

This revision retains the hallmark characteristics that have made Beginning & Intermediate Algebra so easy to learn from, while adding updates to the text and MyLab to keep it more relevant, and more supportive, than ever. The building block organization of the text builds essential skills by breaking mathematics into manageable pieces. The authors act as a student’s “math coach,” there to support them at every turn with exercises, videos, and examples specifically built to help with the trickiest problems. Finally, an emphasis on the use of math in careers and financial literacy throughout helps to answer the perennial question from students: “when will I ever use this?”

This revision includes all-important updates to applications and examples and more support for students. Beginning & Intermediate Algebra provides a comprehensive program that can work for any course format, from traditional lecture-based courses to fully online and distance learning.

Preface

Diagnostic Pretest

0Prealgebra Review

Career Opportunities

0.1 Simplifying 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

1Real Numbers and Variables

Career Opportunities

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

2Equations, 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

3Graphing 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

4Systems 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

5Exponents 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

7Rational 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

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

Career Opportunities

8.1 Rational Exponents

Use Math to Save Money

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

Career Opportunities

9.3 Equations That Can Be Transformed into Quadratic Form

Use Math to Save Money

9.4 Formulas and Applications

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

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

Appendix A: Practice with Operations of Whole Numbers

Appendix B: Determinants and Cramer’s Rule

Appendix C: Solving Systems of Linear Equations Using Matrices

Appendix D: Sets

Solutions to Student Practice Problems