Books a la Carte Edition, Intermediate Algebra: Graphs and Models, 4th Edition

This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books a la Carte also offer a great value–this format costs significantly less than a new textbook.

The Bittinger Graphs and Models Series helps readers learn algebra by making connections between mathematical concepts and their real-world applications. Abundant applications, many of which use real data, offer students a context for learning the math. The authors use a variety of tools and techniques—including graphing calculators, multiple approaches to problem solving, and interactive features—to engage and motivate all types of learners.

Preface

1. Basics of Algebra and Graphing

1.1 Some Basics of Algebra

1.2 Operations with Real Numbers

1.3 Equivalent Algebraic Expressions

1.4 Exponential Notation and Scientific Notation

Mid-Chapter Review

1.5 Graphs

1.6 Solving Equations and Formulas

1.7 Introduction to Problem Solving and Models

Summary and Review

Test

2. Functions, Linear Equations, and Models

2.1 Functions

2.2 Linear Functions: Slope, Graphs, and Models

2.3 Another Look at Linear Graphs

2.4 Introduction to Curve Fitting: Point-Slope Form

Mid-Chapter Review

2.5 The Algebra of Functions

Summary and Review

Test

3. Systems of Linear Equations and Problem Solving

3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution or Elimination

3.3 Solving Applications: Systems of Two Equations

Mid-Chapter Review

3.4 Systems of Equations in Three Variables

3.5 Solving Applications: Systems of Three Equations

3.6 Elimination Using Matrices

3.7 Determinants and Cramer's Rule

3.8 Business and Economics Applications

Summary and Review

Test

Cumulative Review: Chapters 1—3

4. Inequalities

4.1 Inequalities and Applications

4.2 Solving Equations and Inequalities by Graphing

4.3 Intersections, Unions, and Compound Inequalities

4.4 Absolute-Value Equations and Inequalities

Mid-Chapter Review

4.5 Inequalities in Two Variables

Summary and Review

Test

5. Polynomials and Polynomial Functions

5.1 Introduction to Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Polynomial Equations and Factoring

5.4 Trinomials of the Type x² + bx + c

5.5 Trinomials of the Type ax² + bx + c

5.6 Perfect-Square Trinomials and Differences of Squares

5.7 Sums or Differences of Cubes

Mid-Chapter Review

5.8 Applications of Polynomial Equations

Summary and Review

Test

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

Mid-Chapter Review

6.4 Rational Equations

6.5 Applications Using Rational Equations

6.6 Division of Polynomials

6.7 Synthetic Division

6.8 Formulas, Applications, and Variation

Summary and Review

Test

Cumulative Review: Chapters 1—6

7. Exponents and Radical Functions

7.1 Radical Expressions, Functions, and Models

7.2 Rational Numbers as Exponents

7.3 Multiplying Radical Expressions

7.4 Dividing Radical Expressions

7.5 Expressions Containing Several Radical Terms

Mid-Chapter Review

7.6 Solving Radical Equations

7.7 The Distance Formula, the Midpoint Formula, and Other Applications

7.8 The Complex Numbers

Summary and Review

Test

8. Quadratic Functions and Equations

8.1 Quadratic Equations

8.2 The Quadratic Formula

8.3 Studying Solutions of Quadratic Equations

8.4 Studying Solutions of 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

8.8 Problem Solving and Quadratic Functions

8.9 Polynomial Inequalities and Rational Inequalities

Summary and Review

Test

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 Natural Logarithms and Changing Bases

9.6 Solving Exponential and Logarithmic Equations

9.7 Applications of Exponential and Logarithmic Functions

Summary and Review

Test

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

Mid-Chapter Review

10.4 Nonlinear Systems of Equations

Summary and Review

Test

11. Sequences, Series, and the Binomial Theorem

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

Mid-Chapter Review

11.4 The Binomial Theorem

Summary and Review

Test

Cumulative Review: Chapters 1-11

Answers

Glossary

Photo Credits

Index

Index of Applications