Index of Applications

Preface

R. Review of Basic Algebra:

Part 1: Operations

R.1 The Set of Real Numbers

R.2 Operations with Real Numbers

R.3 Exponential Notation and Order of Operations

Part 2: Manipulations

R.4 Introduction to Algebraic Expressions

R.5 Equivalent Algebraic Expressions

R.6 Simplifying Algebraic Expressions

R.7 Properties of Exponents and Scientific Notation

   Summary and Review

   Test

1. Solving Linear Equations and Inequalities

1.1 Solving Equations

1.2 Formulas and Applications

1.3 Applications and Problem Solving

   Mid-Chapter Review

1.4 Sets, Inequalities, and Interval Notation

   Translating for Success

1.5 Intersections, Unions, and Compound Inequalities

1.6 Absolute-Value Equations and Inequalities

   Summary and Review

   Test

2. Graphs, Functions, and Applications

2.1 Graphs of Equations

2.2 Functions and Graphs

2.3 Finding Domain and Range

   Mid-Chapter Review

2.4 Linear Functions: Graphs and Slope

2.5 More on Graphing Linear Equations

Visualizing for Success

2.6 Finding Equations of Lines; Applications

   Summary and Review

   Test

   Cumulative Review

3. Systems of Equations

3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution

3.3 Solving by Elimination

3.4 Solving Applied Problems: Two Equations

   Translating for Success

   Mid-Chapter Review

3.5 Systems of Equations in Three Variables

3.6 Solving Applied Problems: Three Equations

3.7 Systems of Inequalities in Two Variables

   Visualizing for Success

   Summary and Review

   Test

   Cumulative Review

4. Polynomials and Polynomial Functions

4.1 Introduction to Polynomials and Polynomial Functions

4.2 Multiplication of Polynomials

4.3 Introduction to Factoring

4.4 Factoring Trinomials: x² + bx + c

   Mid-Chapter Review

4.5 Factoring Trinomials: ax² + bx + c, a ≠ 1

4.6 Special Factoring

   Visualizing for Success

4.7 Factoring: A General Strategy

4.8 Applications of Polynomial Equations and Functions

Translating for Success

   Summary and Review

   Test

   Cumulative Review

5. Rational Expressions, Equations, and Functions

5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying

5.2 LCMs, LCDs, Addition, and Subtraction

5.3 Division of Polynomials

5.4 Complex Rational Expressions

   Mid-Chapter Review

5.5 Solving Rational Equations

5.6 Applications and Proportions

   Translating for Success

5.7 Formulas and Applications

5.8 Variation and Applications

   Summary and Review

   Test

   Cumulative Review

6. Radical Expressions, Equations, and Functions

6.1 Radical Expressions and Functions

6.2 Rational Numbers as Exponents

6.3 Simplifying Radical Expressions

6.4 Addition, Subtraction, and More Multiplication

   Mid-Chapter Review

6.5 More on Division of Radical Expressions

6.6 Solving Radical Equations

6.7 Applications Involving Powers and Roots

   Translating for Success

6.8 The Complex Numbers

   Summary and Review

   Test

   Cumulative Review

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