, CONTENTS
Preface viii
Study Skills S-1
STUDY SKILL 1 Using Your Math Text S-1 STUDY SKILL 6 Managing Your Time S-6
STUDY SKILL 2 Reading Your Math Text S-2 STUDY SKILL 7 Reviewing a Chapter S-7
STUDY SKILL 3 Taking Lecture Notes S-3 STUDY SKILL 8 Taking Math Tests S-8
STUDY SKILL 4 Completing Your Homework S-4 STUDY SKILL 9 Analyzing Your Test Results S-9
STUDY SKILL 5 Using Study Cards S-5 STUDY SKILL 10 Preparing for Your Math Final
Exam S-10
R Prealgebra Review 1
R.1 Fractions 1 R.2 Decimals and Percents 16
1 The Real Number System 27
1.1 Exponents, Order of Operations, and 1.6 Properties of Real Numbers 78
Inequality 28 1.7 Simplifying Expressions 88
1.2 Variables, Expressions, and Equations 36 Chapter 1 Summary 94
1.3 Real Numbers and the Number Line 42 Chapter 1 Review Exercises 97
1.4 Adding and Subtracting Real Numbers 51 Chapter 1 Mixed Review Exercises 100
1.5 Multiplying and Dividing Real Numbers 65 Chapter 1 Test 100
Chapters R and 1 Cumulative Review
SUMMARY EXERCISES Performing Operations with Real
Exercises 102
Numbers 77
2 Linear Equations and Inequalities in One Variable 103
2.1 The Addition Property of Equality 104 2.7 Ratio, Proportion, and Percent 157
2.2 The Multiplication Property of Equality 112 2.8 Further Applications of Linear
2.3 Solving Linear Equations Using Both Equations 169
Properties of Equality 117 2.9 Solving Linear Inequalities 182
2.4 Clearing Fractions and Decimals When Chapter 2 Summary 196
Solving Linear Equations 125 Chapter 2 Review Exercises 200
SUMMARY EXERCISES Applying Methods for Solving Chapter 2 Mixed Review Exercises 203
Linear Equations 131 Chapter 2 Test 204
2.5 Applications of Linear Equations 132 Chapters R–2 Cumulative Review
Exercises 205
2.6 Formulas and Additional Applications
from Geometry 146
iii
,iv Contents
3 Linear Equations in Two Variables 207
3.1 Linear Equations and Rectangular SUMMARY EXERCISES Applying Graphing and
Coordinates 208 Equation-Writing Techniques
3.2 Graphing Linear Equations in Two for Lines 261
Variables 219 Chapter 3 Summary 262
3.3 The Slope of a Line 231 Chapter 3 Review Exercises 265
3.4 Slope-Intercept Form of a Linear Equation 245 Chapter 3 Mixed Review Exercises 267
Chapter 3 Test 268
3.5 Point-Slope Form of a Linear Equation and
Chapters R–3 Cumulative Review
Modeling 253
Exercises 269
4 Exponents and Polynomials 271
4.1 The Product Rule and Power Rules for 4.6 Special Products 317
Exponents 272 4.7 Dividing Polynomials 323
4.2 Integer Exponents and the Quotient Rule 280 Chapter 4 Summary 332
SUMMARY EXERCISES Applying the Rules for Chapter 4 Review Exercises 335
Exponents 290 Chapter 4 Mixed Review Exercises 338
4.3 Scientific Notation 291 Chapter 4 Test 338
4.4 Adding, Subtracting, and Graphing Chapters R–4 Cumulative Review
Polynomials 299 Exercises 340
4.5 Multiplying Polynomials 310
5 Factoring and Applications 343
5.1 Greatest Common Factors; Factoring by 5.6 Applications of Quadratic Equations 390
Grouping 344 Chapter 5 Summary 402
5.2 Factoring Trinomials 353 Chapter 5 Review Exercises 405
5.3 More on Factoring Trinomials 360 Chapter 5 Mixed Review Exercises 407
5.4 Special Factoring Techniques 369 Chapter 5 Test 408
Chapters R–5 Cumulative Review
SUMMARY EXERCISES Recognizing and Applying
Exercises 409
Factoring Strategies 379
5.5 Solving Quadratic Equations Using the
Zero-Factor Property 382
, Contents v
6 Rational Expressions and Applications 411
6.1 The Fundamental Property of Rational SUMMARY EXERCISES Simplifying Rational Expressions
Expressions 412 vs. Solving Rational
6.2 Multiplying and Dividing Rational Equations 466
Expressions 422 6.7 Applications of Rational Expressions 468
6.3 Least Common Denominators 429 Chapter 6 Summary 478
6.4 Adding and Subtracting Rational Chapter 6 Review Exercises 483
Expressions 436 Chapter 6 Mixed Review Exercises 485
6.5 Complex Fractions 444 Chapter 6 Test 486
Chapters R–6 Cumulative Review
6.6 Solving Equations with Rational
Exercises 487
Expressions 454
7 Linear Equations, Graphs, and Systems 489
7.1 Review of Graphs and Slopes of Lines 490 7.6 Systems of Linear Equations in Three
7.2 Review of Equations of Lines; Linear Variables 548
Models 508 7.7 Applications of Systems of Linear
7.3 Solving Systems of Linear Equations by Equations 557
Graphing 522 Chapter 7 Summary 573
7.4 Solving Systems of Linear Equations by Chapter 7 Review Exercises 578
Substitution 531 Chapter 7 Mixed Review Exercises 582
7.5 Solving Systems of Linear Equations by Chapter 7 Test 583
Elimination 539 Chapters R–7 Cumulative Review
Exercises 584
SUMMARY EXERCISES Applying Techniques for Solving
Systems of Linear
Equations 546
8 Inequalities and Absolute Value 587
8.1 Review of Linear Inequalities in One 8.4 Linear Inequalities and Systems in Two
Variable 588 Variables 617
8.2 Set Operations and Compound Chapter 8 Summary 626
Inequalities 596 Chapter 8 Review Exercises 629
8.3 Absolute Value Equations and Inequalities 605 Chapter 8 Mixed Review Exercises 631
SUMMARY EXERCISES Solving Linear and Absolute Chapter 8 Test 631
Value Equations and Chapters R–8 Cumulative Review
Inequalities 616 Exercises 632
Preface viii
Study Skills S-1
STUDY SKILL 1 Using Your Math Text S-1 STUDY SKILL 6 Managing Your Time S-6
STUDY SKILL 2 Reading Your Math Text S-2 STUDY SKILL 7 Reviewing a Chapter S-7
STUDY SKILL 3 Taking Lecture Notes S-3 STUDY SKILL 8 Taking Math Tests S-8
STUDY SKILL 4 Completing Your Homework S-4 STUDY SKILL 9 Analyzing Your Test Results S-9
STUDY SKILL 5 Using Study Cards S-5 STUDY SKILL 10 Preparing for Your Math Final
Exam S-10
R Prealgebra Review 1
R.1 Fractions 1 R.2 Decimals and Percents 16
1 The Real Number System 27
1.1 Exponents, Order of Operations, and 1.6 Properties of Real Numbers 78
Inequality 28 1.7 Simplifying Expressions 88
1.2 Variables, Expressions, and Equations 36 Chapter 1 Summary 94
1.3 Real Numbers and the Number Line 42 Chapter 1 Review Exercises 97
1.4 Adding and Subtracting Real Numbers 51 Chapter 1 Mixed Review Exercises 100
1.5 Multiplying and Dividing Real Numbers 65 Chapter 1 Test 100
Chapters R and 1 Cumulative Review
SUMMARY EXERCISES Performing Operations with Real
Exercises 102
Numbers 77
2 Linear Equations and Inequalities in One Variable 103
2.1 The Addition Property of Equality 104 2.7 Ratio, Proportion, and Percent 157
2.2 The Multiplication Property of Equality 112 2.8 Further Applications of Linear
2.3 Solving Linear Equations Using Both Equations 169
Properties of Equality 117 2.9 Solving Linear Inequalities 182
2.4 Clearing Fractions and Decimals When Chapter 2 Summary 196
Solving Linear Equations 125 Chapter 2 Review Exercises 200
SUMMARY EXERCISES Applying Methods for Solving Chapter 2 Mixed Review Exercises 203
Linear Equations 131 Chapter 2 Test 204
2.5 Applications of Linear Equations 132 Chapters R–2 Cumulative Review
Exercises 205
2.6 Formulas and Additional Applications
from Geometry 146
iii
,iv Contents
3 Linear Equations in Two Variables 207
3.1 Linear Equations and Rectangular SUMMARY EXERCISES Applying Graphing and
Coordinates 208 Equation-Writing Techniques
3.2 Graphing Linear Equations in Two for Lines 261
Variables 219 Chapter 3 Summary 262
3.3 The Slope of a Line 231 Chapter 3 Review Exercises 265
3.4 Slope-Intercept Form of a Linear Equation 245 Chapter 3 Mixed Review Exercises 267
Chapter 3 Test 268
3.5 Point-Slope Form of a Linear Equation and
Chapters R–3 Cumulative Review
Modeling 253
Exercises 269
4 Exponents and Polynomials 271
4.1 The Product Rule and Power Rules for 4.6 Special Products 317
Exponents 272 4.7 Dividing Polynomials 323
4.2 Integer Exponents and the Quotient Rule 280 Chapter 4 Summary 332
SUMMARY EXERCISES Applying the Rules for Chapter 4 Review Exercises 335
Exponents 290 Chapter 4 Mixed Review Exercises 338
4.3 Scientific Notation 291 Chapter 4 Test 338
4.4 Adding, Subtracting, and Graphing Chapters R–4 Cumulative Review
Polynomials 299 Exercises 340
4.5 Multiplying Polynomials 310
5 Factoring and Applications 343
5.1 Greatest Common Factors; Factoring by 5.6 Applications of Quadratic Equations 390
Grouping 344 Chapter 5 Summary 402
5.2 Factoring Trinomials 353 Chapter 5 Review Exercises 405
5.3 More on Factoring Trinomials 360 Chapter 5 Mixed Review Exercises 407
5.4 Special Factoring Techniques 369 Chapter 5 Test 408
Chapters R–5 Cumulative Review
SUMMARY EXERCISES Recognizing and Applying
Exercises 409
Factoring Strategies 379
5.5 Solving Quadratic Equations Using the
Zero-Factor Property 382
, Contents v
6 Rational Expressions and Applications 411
6.1 The Fundamental Property of Rational SUMMARY EXERCISES Simplifying Rational Expressions
Expressions 412 vs. Solving Rational
6.2 Multiplying and Dividing Rational Equations 466
Expressions 422 6.7 Applications of Rational Expressions 468
6.3 Least Common Denominators 429 Chapter 6 Summary 478
6.4 Adding and Subtracting Rational Chapter 6 Review Exercises 483
Expressions 436 Chapter 6 Mixed Review Exercises 485
6.5 Complex Fractions 444 Chapter 6 Test 486
Chapters R–6 Cumulative Review
6.6 Solving Equations with Rational
Exercises 487
Expressions 454
7 Linear Equations, Graphs, and Systems 489
7.1 Review of Graphs and Slopes of Lines 490 7.6 Systems of Linear Equations in Three
7.2 Review of Equations of Lines; Linear Variables 548
Models 508 7.7 Applications of Systems of Linear
7.3 Solving Systems of Linear Equations by Equations 557
Graphing 522 Chapter 7 Summary 573
7.4 Solving Systems of Linear Equations by Chapter 7 Review Exercises 578
Substitution 531 Chapter 7 Mixed Review Exercises 582
7.5 Solving Systems of Linear Equations by Chapter 7 Test 583
Elimination 539 Chapters R–7 Cumulative Review
Exercises 584
SUMMARY EXERCISES Applying Techniques for Solving
Systems of Linear
Equations 546
8 Inequalities and Absolute Value 587
8.1 Review of Linear Inequalities in One 8.4 Linear Inequalities and Systems in Two
Variable 588 Variables 617
8.2 Set Operations and Compound Chapter 8 Summary 626
Inequalities 596 Chapter 8 Review Exercises 629
8.3 Absolute Value Equations and Inequalities 605 Chapter 8 Mixed Review Exercises 631
SUMMARY EXERCISES Solving Linear and Absolute Chapter 8 Test 631
Value Equations and Chapters R–8 Cumulative Review
Inequalities 616 Exercises 632
