ISBN: 9780130519665

Author: Prentice Hall

Published: 2001

## Chapters: 1 2 3 4 5 6 7 8 9 10 11 12 13

### Chapter 1

Introduction To Algebra

1-1 | Symbols and Expressions | Exercises | p.7 |

1-2 | The Commutative and Identity Properties | Exercises | p.14 |

1-3 | Exponential Notation | Exercises | p.17 |

1-4 | The Associative Properties | Exercises | p.22 |

1-5 | The Distributive Property of Multiplication over Addition | Exercises | p.27 |

1-6 | Writing Expressions | Exercises | p.30 |

1-7 | Solving Equations: An Introduction | Exercises | p.36 |

1-8 | Reasoning Strategies: Draw a Diagram | Problems | p.39 |

1-9 | Using Formulas | Exercises | p.42 |

1-10 | Reasoning Strategies: Try, Test, Revise | Problems | p.45 |

Chapter Wrap Up | p.47 | ||

Chapter Assessment | p.50 |

### Chapter 2

Integers And Rational Numbers

2-1 | Integers and Number Line | Exercises | p.57 |

2-2 | Rational Numbers | Exercises | p.61 |

2-3 | Addition of Rational Numbers | Exercises | p.68 |

2-4 | Subtraction of Rational Numbers | Exercises | p.74 |

2-5 | Multiplication of Rational Numbers | Exercises | p.79 |

2-6 | Division of Rational Numbers | Exercises | p.84 |

Exercises | p.86 | ||

Problems | p.88 | ||

2-7 | Using the Distributive Property | Exercises | p.91 |

2-8 | Inverse of a Sum of Simplifying | Exercises | p.96 |

2-9 | Writing Equations | Problems | p.100 |

2-10 | Number Properties and Proofs | Exercises | p.105 |

Chapter Wrap Up | p.107 | ||

Chapter Assessment | p.110 |

### Chapter 3

Equations

3-1 | The Addition Property of Equality | Exercises | p.116 |

3-2 | The Multiplication Property of Equality | Exercises | p.122 |

3-3 | Using the Properties Together | Exercises | p.127 |

3-4 | Expressions and Equations | Exercises | p.133 |

3-5 | More on Solving Equations | Exercises | p.137 |

3-6 | Clearing an Equation of Fractions or Decimals | Exercises | p.140 |

3-7 | Formulas | Exercises | p.143 |

3-8 | Solving Equations Involving Absolute Value | Exercises | p.146 |

3-9 | Proportions | Exercises | p.150 |

3-10 | Using Percent | Exercises | p.156 |

3-11 | More Expressions and Equations | Exercises | p.160 |

3-12 | Reasoning Strategies: Make an Organized List | Problems | p.164 |

Chapter Wrap Up | p.165 | ||

Chapter Assessment | p.168 |

### Chapter 4

Inequalities

4-1 | Inequalities and Their Graphs | Exercises | p.173 |

4-2 | The Addition Property of Inequalities | Exercises | p.178 |

4-3 | The Multiplication Property of Inequalities | Exercises | p.182 |

4-4 | Using the Properties Together | Exercises | p.184 |

4-5 | Using Inequalities | Exercises | p.189 |

Exercises | p.193 | ||

4-6 | Reasoning Strategies: Use Logical Reasoning | Problems | p.195 |

Chapter Wrap Up | p.196 | ||

Chapter Assessment | p.197 | ||

Cumulative Review | p.198 |

### Chapter 5

Exponents And Polynomials

5-1 | Exponents | Exercises | p.207 |

5-2 | More with Exponents | Exercises | p.212 |

Connections: Geometry | p.213 | ||

5-3 | Multiplying and Dividing Polynomials | Exercises | p.215 |

5-4 | Scientific Notation | Exercises | p.219 |

5-5 | Polynomials | Exercises | p.224 |

5-6 | More on Polynomials | Exercises | p.229 |

5-7 | Addition of Polynomials | Exercises | p.233 |

5-8 | Subtraction of Polynomials | Exercises | p.238 |

5-9 | Multiplication of Monomials and Binomials | Exercises | p.242 |

5-10 | Multiplying Binomials: Special Products | Exercises | p.247 |

5-11 | Multiplying Polynomials | Exercises | p.251 |

Problems | p.253 | ||

5-12 | Reasoning Strategies: Make a Table, Look for a Pattern | Problems | p.255 |

Chapter Wrap Up | p.256 | ||

Chapter Assessment | p.259 |

### Chapter 6

Polynomials And Factoring

6-1 | Factoring Polynomials | Exercises | p.264 |

Connections: Geometry | p.265 | ||

6-2 | Differences of Two Squares | Exercises | p.268 |

6-3 | Trinomial Squares | Exercises | p.271 |

6-4 | Factoring x^2 + bx + c | Exercises | p.276 |

6-5 | Factoring ax^2 + bx + c | Exercises | p.279 |

6-6 | Factoring by Grouping | Exercises | p.282 |

6-7 | Factoring: A General Strategy | Exercises | p.284 |

6-9 | Using Equations That Factor | Exercises | p.285 |

6-7 | Factoring: A General Strategy | Exercises | p.285 |

6-8 | Solving Equations by Factoring | Exercises | p.289 |

6-9 | Using Equations That Factor | Problems | p.298 |

Chapter Wrap Up | p.299 | ||

Chapter Assessment | p.301 |

### Chapter 7

Graphs And Linear Equations

7-1 | Graphing Ordered Pairs | Exercises | p.307 |

7-2 | Graphing Equations | Exercises | p.311 |

7-3 | Linear Equations and Their Graphs | Exercises | p.316 |

Connections: Reasoning | p.317 | ||

7-4 | Slope | Exercises | p.321 |

7-5 | Equations and Slope | Exercises | p.326 |

Connections: Reasoning | p.327 | ||

7-6 | Finding the Equation of a Line | Exercises | p.331 |

7-7 | Fitting Equations to Data | Exercises | p.335 |

7-8 | Parallel and Perpendicular Lines | Exercises | p.340 |

7-9 | Proofs | Exercises | p.343 |

7-10 | Reasoning Strategies: Simplify the Problem | Problems | p.345 |

Problem | p.346 | ||

Chapter Wrap Up | p.347 | ||

Chapter Assessment | p.350 | ||

Cumulative Review | p.351 |

### Chapter 8

Systems Of Equations

8-1 | Solving Systems of Equations by Graphing | Exercises | p.360 |

8-2 | The Substitution Method | Exercises | p.365 |

8-3 | The Addition Method | Exercises | p.371 |

8-4 | Using Systems of Equations | Exercises | p.377 |

8-5 | Motion Problems | Exercises | p.383 |

Error Analysis | p.386 | ||

8-6 | Digit and Coin Problems | Exercises | p.390 |

Problems | p.393 | ||

Problems | p.394 | ||

Chapter Wrap Up | p.395 | ||

Chapter Assessment | p.397 |

### Chapter 9

Inequalities And Absolute Values

9-1 | Sets, Intersections, and Unions | Exercises | p.403 |

9-2 | Compound Sentences | Exercises | p.408 |

Exercises | p.410 | ||

9-3 | Equations and Absolute Value | Exercises | p.412 |

9-4 | Inequalities and Absolute Value | Exercises | p.415 |

9-5 | Inequalities in Two Variables | Exercises | p.419 |

9-6 | Graphing Systems of Linear Inequalities | Exercises | p.423 |

Problems | p.426 | ||

Chapter Wrap Up | p.427 | ||

Chapter Assessment | p.429 |

### Chapter 10

Rational Expressions And Equations

10-1 | Simplifying Rational Expressions | Exercises | p.434 |

10-2 | Multiplying Rational Expressions | Exercises | p.437 |

10-3 | Dividing Rational Expressions | Exercises | p.440 |

10-4 | Addition and Subtraction: Like Denominators | Exercises | p.443 |

10-5 | Addition and Subtraction: Unlike Denominators | Exercises | p.448 |

10-6 | Solving Rational Equations | Exercises | p.453 |

10-7 | Using Rational Equations | Exercises | p.458 |

10-8 | Mixture Problems | Exercises | p.462 |

10-9 | Dividing Polynomials | Exercises | p.467 |

Exercises | p.468 | ||

10-10 | Complex Rational Expressions | Exercises | p.470 |

10-11 | Proofs | Exercises | p.474 |

10-12 | Reasoning Strategies: Work Backward | Problems | p.476 |

Chapter Wrap Up | p.477 | ||

Chapter Assessment | p.479 |

### Chapter 11

Radical Expressions And Equations

11-1 | Real Numbers | Exercises | p.485 |

11-2 | Radical Expressions | Exercises | p.489 |

11-3 | Simplifying Radical Expressions | Exercises | p.493 |

11-4 | Multiplying Radical Expressions | Exercises | p.496 |

11-5 | Dividing and Simplifying | Exercises | p.501 |

11-6 | Addition and Subtraction | Exercises | p.505 |

11-7 | The Pythagorean Theorem | Exercises | p.510 |

11-8 | Using the Pythagorean Theorem | Exercises | p.515 |

11-9 | Equations with Radicals | Exercises | p.521 |

Chapter 11 Wrap Up | p.525 | ||

Chapter Assessment | p.528 | ||

Cumulative Review | p.529 |

### Chapter 12

Relations And Functions

12-1 | Relations and Functions | Exercises | p.539 |

12-2 | Functions and Graphs | Exercises | p.545 |

12-3 | Linear Functions | Exercises | p.548 |

12-4 | Quadratic Functions | Exercises | p.554 |

12-5 | Direct Variation | Exercises | p.559 |

12-6 | Inverse Variation | Exercises | p.563 |

12-7 | Joint and Combined Variation | Exercises | p.568 |

Chapter Wrap Up | p.571 | ||

Chapter Assessment | p.573 |

### Chapter 13

Quadratic Equations

13-1 | Introduction to Quadratic Equations | Exercises | p.578 |

13-2 | More Solving Quadratic Equations | Exercises | p.583 |

13-3 | Solving by Completing the Square | Exercises | p.588 |

13-4 | The Quadratic Formula | Exercises | p.593 |

13-5 | Solving Rational Equations | Exercises | p.596 |

13-6 | Solving Radical Equations | Exercises | p.600 |

13-7 | Using Quadratic Equations | Exercises | p.605 |

Chapter Wrap Up | p.609 | ||

Chapter Assessment | p.611 | ||

Cumulative Review | p.612 |