





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) 

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) 

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) 






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) 






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) 






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) 






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) 

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) 

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) 



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) 

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) 





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) 
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) 
Extra Practice: Skills 

639  (26) 
Problem Solving 

665  (16) 
Tables 

681  (4) 
Appendix: Preparing for College Entrance Exams 

685  (4) 
Glossary of Properties 

689  (2) 
Glossary of Terms 

691  (10) 
Index 

701  (10) 
Acknowledgments 

711  