





1  (5) 


6  (4) 


10  (4) 

Applications and Problem Solving 



Translating Words into Symbols 


14  (5) 

Translating Sentences into Equations 


19  (4) 

Translating Problems into Equations 


23  (4) 


27  (4) 




31  (5) 

Opposites and Absolute Values 


36  (9) 

Explorations Exploring Density of Real Numbers 685 



Technology Calculator KeyIn 13 



Special Topics Application / Energy Consumption 5 Challenge 9, 35 Reading Algebra xiv, 26 Biographical Note 30 Career Note / Bilingual Math Teacher 40 



Reviews and Tests Mixed Review 5, 9, 12, 18, 22, 26, 29, 35, 39 SelfTest 13, 30, 39 Chapter Summary 40 Chapter Review 41 Chapter Test 42 Maintaining Skills 43 



Working with Real Numbers 






45  (4) 

Addition on a Number Line 


49  (5) 


54  (5) 


59  (6) 



The Distributive Property 


65  (5) 


70  (5) 

Problem Solving: Consecutive Integers 


75  (4) 



The Reciprocal of a Real Number 


79  (4) 


83  (12) 

Explorations Exploring Addition of Integers 686 Exploring Subtraction of Integers 687 



Technology Calculator KeyIn 58, 82 Computer KeyIn 87 



Special Topics Challenge 48, 53, 69 Reading Algebra 64 Application / Understanding Product Prices 74 Historical Note 87 



Reviews and Tests Mixed Review 48, 53, 58, 63, 69, 73, 78, 82, 86 SelfTests 63, 78, 86 Chapter Summary 88 Chapter Review 89 Chapter Test 90 Cumulative Review 91 Maintaining Skills 92 Preparing for College Entrance Exams 93 



Solving Equations and Problems 





Transforming Equations: Addition and Subtraction 


95  (7) 

Transforming Equations: Multiplication and Division 


102  (5) 

Using Several Transformations 


107  (5) 



Using Equations to Solve Problems 


112  (4) 

Equations with the Variable on Both Sides 


116  (5) 

Extending Your Problem Solving Skills 



Problem Solving: Using Charts 


121  (5) 

Cost, Income, and Value Problems 


126  (4) 


130  (11) 

Explorations Exploring Ways to Solve Equations 688 



Technology Calculator KeyIn 106, 111 Computer Exercises 111, 120, 129 



Special Topics Application / Car Loans 101 Historical Note 115 Career Note / Astronomer 125 



Reviews and Tests Mixed Review 100, 106, 110, 115, 120, 125, 129, 133 SelfTests 111, 120, 134 Chapter Summary 134 Chapter Review 135 Chapter Test 136 Cumulative Review 137 Maintaining Skills 138 Mixed Problem Solving 139 








141  (5) 

Adding and Subtracting Polynomials 


146  (6) 




152  (3) 


155  (3) 

Multiplying Polynomials by Monomials 


158  (3) 


161  (4) 




165  (2) 

RateTimeDistance Problems 


167  (5) 


172  (3) 

Problems Without Solutions 


175  (10) 

Explorations Exploring Monomial and Binomial Products 689 



Technology Computer Exercises 145, 151 Calculator KeyIn 145 



Special Topic Biographical Note 145 



Reviews and Tests Mixed Review 144, 150, 154, 157, 160, 164, 166, 171, 174 SelfTests 151, 164, 177 Chapter Summary 178 Chapter Review 178 Chapter Test 180 Cumulative Review 181 Maintaining Skills 182 Preparing for College Entrance Exams 183 








185  (4) 


189  (5) 

Monomial Factors of Polynomials 


194  (6) 



Multiplying Binomials Mentally 


200  (4) 

Differences of Two Squares 


204  (4) 


208  (5) 



Factoring Pattern for x2 + bx + c, c positive 


213  (4) 

Factoring Pattern for x2 + bx + c, c negative 


217  (3) 

Factoring Pattern for ax2 + bx + c 


220  (4) 

General Factoring and Its Application 




224  (3) 

Using Several Methods of Factoring 


227  (3) 

Solving Equations by Factoring 


230  (4) 

Using Factoring to Solve Problems 


234  (13) 

Explorations Exploring Polynomial Factors 691 



Technology Computer Exercises 187, 203 Computer KeyIn 188 Calculator KeyIn 1993, 203 



Special Topics Challenge 188, 223 Career Note / Draftsperson 229 Historical Note 239 Sums and Differences of Cubes 239 



Reviews and Tests Mixed Review 187, 193, 199, 203, 207, 212, 216, 219, 223, 226, 229, 233, 238 SelfTests 199, 212, 223, 238 Chapter Summary 240 Chapter Review 240 Chapter Test 242 Cumulative Review 243 Maintaining Skills 244 Mixed Problem Solving 245 








247  (4) 


251  (4) 


255  (4) 

Adding and Subtracting Fractions 



Least Common Denominators 


259  (5) 

Adding and Subtracting Fractions 


264  (6) 




270  (4) 


274  (13) 

Explorations Exploring GCF and LCM 692 



Technology Computer Exercises 250, 273 Calculator KeyIn 258 Computer KeyIn 263 



Special Topics Challenge 254, 263, 273 Biographical Note 269 Complex Fractions 278 



Reviews and Tests Mixed Review 250, 254, 258, 262, 268, 273, 277 SelfTests 258, 269, 277 Chapter Summary 280 Chapter Review 280 Chapter Test 282 Cumulative Review 283 Maintaining Skills 284 Preparing for College Entrance Exams 285 








287  (6) 


293  (5) 



Equations with Fractional Coefficients 


298  (6) 


304  (5) 




309  (6) 


315  (6) 

Mixture and Work Problems 




321  (5) 


326  (5) 

Problems Involving Exponents 




331  (5) 


336  (13) 

Explorations Exploring Applications of Proportions 693 



Technology Computer Exercises 319 Calculator KeyIn 341 



Special Topics Challenge 292 Application / Units of Measurement in Problem Solving 302 Historical Note 303 Career Note / Electrical Engineer 341 



Reviews and Tests Mixed Review 292, 297, 301, 308, 314, 320, 325, 330, 335, 340 SelfTests 297, 308, 320, 330, 341 Chapter Summary 342 Chapter Review 342 Chapter Test 344 Cumulative Review 345 Maintaining Skills 346 Mixed Problem Solving 347 



Introduction to Functions 





Equations in Two Variables 


349  (4) 

Points, Lines, and their Graphs 


353  (7) 




360  (6) 

The SlopeIntercept Form of a Linear Equation 


366  (5) 

Determining an Equation of a Line 


371  (3) 



Functions Defined by Tables and Graphs 


374  (5) 

Functions Defined by Equations 


379  (4) 

Linear and Quadratic Functions 


383  (8) 




391  (6) 


397  (16) 

Explorations Exploring Linear Equations 694 



Technology Computer Exercises 352, 382, 388, 402 Computer Graphing Ideas 354, 357, 367, 368, 384, 386, 387, 399, 694 Computer KeyIn 359 Calculator KeyIn 365, 403 



Special Topics Historical Note 359 Perpendicular Lines 370 Career Note / Statistician 377 Application / Line of Best Fit 378 Challenge 382 Relations 389 Biographical Note 396 Reading Algebra 404 



Reviews and Tests Mixed Review 352, 358, 365, 369, 373, 377, 382, 387, 396, 402 SelfTests 358, 373, 388, 403 Chapter Summary 405 Chapter Review 405 Chapter Test 407 Cumulative Review 409 Maintaining Skills 410 Preparing for College Entrance Exams 411 



Systems of Linear Equations 



Solving Systems of Linear Equations 




413  (4) 


417  (4) 

Solving Problems with Two Variables 


421  (5) 

The AdditionorSubtraction Method 


426  (4) 

Multiplication with the AdditionorSubtraction Method 


430  (8) 



Wind and Water Current Problems 


438  (6) 


444  (13) 

Explorations Exploring Systems of Linear Equations 695 



Technology Computer Exercises 416, 436 Computer Graphing Ideas 414, 415, 695 



Special Topics Career Note / Nutritionist 425 Challenge 425, 437 Biographical Note 443 Historical Note 450 



Reviews and Tests Mixed Review 416, 420, 425, 429, 436, 443, 449 SelfTests 437, 450 Chapter Summary 450 Chapter Review 451 Chapter Test 452 Cumulative Review 453 Maintaining Skills 454 Mixed Problem Solving 455 





Inequalities in One Variable 




457  (5) 


462  (7) 

Solving Problems Involving Inequalities 


469  (9) 



Solving Combined Inequalities 


478  (4) 

Absolute Value in Open Sentences 


482  (4) 

Absolute Values of Products in Open Sentences 


486  (4) 

Inequalities in Two Variables 



Graphing Linear Inequalities 


490  (5) 

Systems of Linear Inequalities 


495  (12) 

Explorations Exploring Properties of Equality and Order 696 



Technology Computer Exercises 460, 481 Computer Graphing Ideas 494 Calculator KeyIn 498 



Special Topics Biographical Note 461 Reading Algebra 468 Challenge 475 Intersection and Union of Sets 476 Historical Note 477 Career Note / Pharmacist 489 The Graph of y = ax + b + c 494 Application / Linear Programming 499 



Reviews and Tests Mixed Review 461, 467, 475, 481, 485, 488, 494, 498 SelfTests 475, 489, 498 Chapter Summary 501 Chapter Review 501 Chapter Test 502 Cumulative Review 503 Maintaining Skills 504 Preparing for College Entrance Exams 505 



Rational and Irrational Numbers 





Properties of Rational Numbers 


507  (5) 

Decimal Forms of Rational Numbers 


512  (5) 


517  (4) 




521  (4) 

Square Roots of Variable Expressions 


525  (4) 


529  (8) 



Multiplying, Dividing, and Simplifying Radicals 


537  (3) 

Adding and Subtracting Radicals 


540  (4) 

Multiplication of Binomials Containing Radicals 


544  (3) 


547  (14) 

Explorations Exploring Decimals 697 Exploring Irrational Numbers 698 



Technology Calculator KeyIn 528, 554 Computer Exercises 532 



Special Topics Challenge 520, 534, 536 Historical Note 523 Irrationality of √2 524 Career Note / Operations Research Analyst 528 The Distance Formula 535 Biographical Note 542 Proving Divisibility Tests 543 Fractional Exponents 551 



Reviews and Tests Mixed Review 511, 516, 520, 523, 528, 534, 539, 542, 546, 550 SelfTests 520, 534, 550 Chapter Summary 554 Chapter Review 555 Chapter Test 556 Cumulative Review 557 Maintaining Skills 558 Mixed Problem Solving 559 







Quadratic Equations with Perfect Squares 


561  (3) 


564  (3) 


567  (5) 

Graphs of Quadratic Equations: The Discriminant 


572  (4) 

Using Quadratic Equations 




576  (3) 

Solving Problems Involving Quadratic Equations 


579  (5) 



Direct and Inverse Variation Involving Squares 


584  (4) 

Joint and Combined Variation 


588  (12) 

Explorations Exploring Quadratic Equations 700 



Technology Computer Exercises 570, 575 Computer Graphing Ideas 700 



Special Topics Imaginary Numbers 570 Biographical Note 578 Quadratic Inequalities 581 Application / Boyle's Gas Law 583 Application / Illumination 593 



Reviews and Tests Mixed Review 563, 566, 570, 575, 578, 581, 587, 592 SelfTests 575, 582, 594 Chapter Summary 594 Chapter Review 595 Chapter Test 596 Cumulative Review 597 Preparing for College Entrance Exams 599 


Looking Ahead 





600  (3) 


603  (3) 




606  (5) 

Presenting Statistical Data 


611  (5) 



Points, Lines, and Angles 


616  (3) 


619  (2) 


621  (3) 


624  (3) 




627  (3) 

Values of Trigonometric Ratios 


630  (3) 

Problem Solving Using Trigonometry 


633  (6) 

Technology Computer Graphing Ideas 607 



Special Topics Measures of Variation 609 Application / Misuse of Statistics 614 Challenge 632 



Reviews and Tests Summary 637 Review 637 


Extra Practice: Skills 

639  (26) 
Problem Solving 

665  (16) 
Tables 

681  (4) 
Explorations 

685  (16) 
Portfolio Projects 

701  (8) 
Appendix 1: Preparing for College Entrance Exams 

709  (4) 
Appendix 2: PointSlope Form 

713  (2) 
Appendix 3: Inductive and Deductive Reasoning 

715  (3) 
Appendix 4: Hypothesis and Conclusion 

718  (2) 
Appendix 5: Indirect Reasoning 

720  (1) 
Glossary of Properties 

721  (2) 
Glossary of Terms 

723  (10) 
Index 

733  (10) 
Acknowledgements 

743  
Answers to Selected Exercises 
