Tools to Help Students Succeed 

ix  
Additional Resources to Help You Succeed 

xi  
Preface 

xiii  
Applications Index 

xxiii  


1  (1) 

Factors and the Least Common Multiple 


2  (7) 


9  (10) 


19  

Group Activity: Interpreting Survey Results 


28  (1) 


29  (1) 


29  (3) 


32  (2) 


34  

Real Numbers and Introduction to Algebra 


1  (88) 

Tips for Success in Mathematics 


2  (6) 

Symbols and Sets of Numbers 


8  (11) 

Exponents, Order of Operations, and Variable Expressions 


19  (10) 


29  (9) 


38  (10) 

Integrated ReviewOperations on Real Numbers 


46  (2) 

Multiplying and Dividing Real Numbers 


48  (12) 

Properties of Real Numbers 


60  (8) 


68  (21) 

Group Activity: Magic Squares 


77  (1) 


78  (1) 


78  (5) 


83  (4) 


87  (2) 

Equations, Inequalities, and Problem Solving 


89  (89) 

The Addition Property of Equality 


90  (9) 

The Multiplication Property of Equality 


99  (9) 

Further Solving Linear Equations 


108  (10) 

Integrated ReviewSolving Linear Equations 


116  (2) 

An Introduction to Problem Solving 


118  (12) 

Formulas and Problem Solving 


130  (12) 

Percent and Mixture Problem Solving 


142  (12) 

Solving Linear Inequalities 


154  (24) 

Group Activity: Investigating Averages 


164  (1) 


165  (1) 


165  (3) 


168  (5) 


173  (2) 


175  (3) 

Exponents and Polynomials 


178  (76) 


179  (12) 

Negative Exponents and Scientific Notation 


191  (9) 

Introduction to Polynomials 


200  (10) 

Adding and Subtracting Polynomials 


210  (7) 


217  (7) 


224  (9) 

Integrated ReviewExponents and Operations on Polynomials 


231  (2) 


233  (21) 

Group Activity: Modeling with Polynomials 


240  (1) 


241  (1) 


241  (3) 


244  (5) 


249  (2) 


251  (3) 


254  (70) 

The Greatest Common Factor 


255  (10) 

Factoring Trinomials of the Form x2 + bx + c 


265  (7) 

Factoring Trinomials of the Form ax2 + bx + c 


272  (7) 

Factoring Trinomials of the Form ax2 + bx + c by Grouping 


279  (4) 

Factoring Perfect Square Trinomials and the Difference of Two Squares 


283  (10) 

Integrated ReviewChoosing a Factoring Strategy 


291  (2) 

Solving Quadratic Equations by Factoring 


293  (9) 

Quadratic Equations and Problem Solving 


302  (22) 


311  (1) 


312  (1) 


312  (3) 


315  (4) 


319  (2) 


321  (3) 


324  (82) 

Simplifying Rational Expressions 


325  (10) 

Multiplying and Dividing Rational Expressions 


335  (9) 

Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominators 


344  (9) 

Adding and Subtracting Rational Expressions with Different Denominators 


353  (8) 

Solving Equations Containing Rational Expressions 


361  (9) 

Integrated ReviewSummary on Rational Expressions 


368  (2) 

Proportions and Problem Solving with Rational Equations 


370  (15) 

Simplifying Complex Fractions 


385  (21) 

Group Activity: FastGrowing Careers 


391  (1) 


392  (1) 


392  (5) 


397  (4) 


401  (2) 


403  (3) 

Graphing Equations and Inequalities 


406  (111) 

Reading Graphs and the Rectangular Coordinate System 


407  (15) 

Graphing Linear Equations 


422  (11) 


433  (10) 


443  (16) 


459  (12) 

Integrated ReviewSummary on Linear Equations 


469  (2) 

Introduction to Functions 


471  (8) 

Graphing Linear Inequalities in Two Variables 


479  (10) 

Direct and Inverse Variation 


489  (28) 

Group Activity: Finding a Linear Model 


499  (1) 


500  (1) 


500  (5) 


505  (6) 


511  (3) 


514  (3) 


517  (50) 

Solving Systems of Linear Equations by Graphing 


518  (10) 

Solving Systems of Linear Equations by Substitution 


528  (8) 

Solving Systems of Linear Equations by Addition 


536  (8) 

Integrated ReviewSummary on Solving Systems of Equations 


543  (1) 

Systems of Linear Equations and Problem Solving 


544  (23) 

Group Activity: BreakEven Point 


555  (1) 


556  (1) 


556  (3) 


559  (3) 


562  (2) 


564  (3) 


567  (56) 


568  (7) 


575  (8) 

Adding and Subtracting Radicals 


583  (5) 

Multiplying and Dividing Radicals 


588  (10) 

Integrated ReviewSimplifying Radicals 


596  (2) 

Solving Equations Containing Radicals 


598  (7) 

Radical Equations and Problem Solving 


605  (18) 

Group Activity: Graphing and the Distance Formula 


611  (1) 


612  (1) 


612  (3) 


615  (3) 


618  (2) 


620  (3) 


623  (45) 

Solving Quadratic Equations by the Square Root Property 


624  (7) 

Solving Quadratic Equations by Completing the Square 


631  (5) 

Solving Quadratic Equations by the Quadratic Formula 


636  (11) 

Integrated ReviewSummary on Quadratic Equations 


645  (2) 

Graphing Quadratic Equations in Two Variables 


647  (21) 

Group Activity: Uses of Parabolas 


656  (1) 


657  (1) 


657  (2) 


659  (4) 


663  (2) 


665  (3) 
Appendix A The Bigger Picture 

668  (4) 
Appendix B Factoring Sums and Differences of Cubes 

672  (3) 
Appendix C Mean, Median, and Mode 

675  (4) 
Appendix D Sets 

679  (4) 
Appendix E Review of Angles, Lines, and Special Triangles 

683  (8) 
Appendix F Tables 

691  
Answers to Selected Exercises 

1  (26) 
Solutions to Selected Exercises 

27  
Index 

1  (4) 
Photo Credits 

5  