Preface 

ix  
Applications Index 

xviii  

Whole Numbers and Introduction to Algebra 


1  (108) 


2  (77) 

Tips for Success in Mathematics 


3  (6) 

Place Value and Names for Numbers 


9  (12) 

Adding Whole Numbers and Perimeter 


21  (12) 

Subtracting Whole Numbers 


33  (12) 


45  (10) 

Multiplying Whole Numbers and Area 


55  (12) 


67  (12) 

Operations on Whole Numbers 


79  (17) 

Exponents and Order of Operations 


81  (8) 

Introduction to Variables and Algebraic Expressions 


89  (7) 

Investigating Endangered and Threatened Species 


96  (13) 


97  (4) 


101  (6) 


107  (2) 


109  (60) 


110  (27) 


111  (10) 


121  (8) 


129  (8) 


137  (19) 

Multiplying and Dividing Integers 


139  (10) 


149  (7) 

Investigating Positive and Negative Numbers 


156  (13) 


157  (2) 


159  (4) 


163  (2) 


165  (4) 

Solving Equations and Problem Solving 


169  (62) 


170  (1) 

Simplifying Algebraic Expressions 


171  (10) 

Solving Equations: The Addition Property 


181  (8) 

Solving Equations: The Multiplication Property 


189  (10) 

Expressions and Equations 


199  (19) 

Solving Linear Equations in One Variable 


201  (8) 

Linear Equations in One Variable and Problem Solving 


209  (9) 


218  (13) 


219  (4) 


223  (4) 


227  (2) 


229  (2) 


231  (128) 


232  (1) 

Introduction to Fractions and Equivalent Fractions 


233  (16) 

Factors and Simplest Form 


249  (12) 

Multiplying and Dividing Fractions 


261  (12) 

Adding and Subtracting Like Fractions and Least Common Denominator 


273  (14) 

Adding and Subtracting Unlike Fractions 


287  (12) 

Summary on Fraction and Factors 


299  (28) 

Complex Fractions and Review of Order of Operations 


301  (8) 

Solving Equations Containing Fractions 


309  (8) 

Operations on Mixed Numbers 


317  (10) 


327  (32) 


339  (4) 


343  (8) 


351  (4) 


355  (4) 


359  (98) 


360  (1) 


361  (14) 

Adding and Subtracting Decimals 


375  (14) 

Multiplying Decimals and Circumference of a Circle 


389  (12) 


401  (10) 


411  (33) 

Estimating and Order of Operations 


413  (8) 


421  (10) 

Equations Containing Decimals 


431  (6) 

Square Roots and the Pythagorean Theorem 


437  (7) 

Maintaining a Checking Account 


444  (13) 


445  (4) 


449  (4) 


453  (2) 


455  (2) 


457  (58) 


458  (1) 


459  (6) 


465  (8) 


473  (10) 

Ratio, Rate, and Proportion 


483  (19) 

Proportions and Problem Solving 


485  (10) 

Congruent and Similar Triangles 


495  (7) 

Investigating Scale Drawings 


502  (13) 


503  (4) 


507  (4) 


511  (2) 


513  (2) 


515  (76) 


516  (1) 

Percents, Decimals, and Fractions 


517  (14) 

Solving Percent Problems with Equations 


531  (8) 

Solving Percent Problems with Proportions 


539  (8) 

Percent and Percent Problems 


547  (31) 


549  (12) 

Percent and Problem Solving: Sales Tax, Commission, and Discount 


561  (10) 

Percent and Problem Solving: Interest 


571  (7) 

Investigating Probability 


578  (13) 


580  (3) 


583  (4) 


587  (2) 


589  (2) 

Graphing and Introduction to Statistics 


591  (86) 


592  (1) 

Reading Pictographs, Bar Graphs, and Line Graphs 


593  (16) 


609  (8) 

The Rectangular Coordinate System 


617  (10) 


627  (28) 

Graphing Linear Equations 


631  (10) 


641  (6) 

Counting and Introduction to Probability 


647  (8) 


655  (22) 


657  (4) 


661  (8) 


669  (6) 


675  (2) 


677  (116) 


678  (1) 


679  (12) 


691  (14) 


705  (10) 


715  (16) 


731  (38) 


733  (12) 


745  (10) 

Conversions between the U.S. and Metric Systems 


755  (14) 


769  (24) 


772  (5) 


777  (8) 


785  (4) 


789  (4) 


793  (1) 


794  (1) 

Adding and Subtracting Polynomials 


795  (10) 

Multiplication Properties of Exponents 


805  (6) 

Operations on Polynomials 


811  (15) 


813  (6) 

Introduction to Factoring Polynomials 


819  (7) 


826  (1) 


827  (2) 


829  (4) 


833  (2) 


835  
Appendix A Percents, Decimals, and Fraction Equivalent Table 

1  (1) 
Appendix B Table of Squares and Square Roots 

2  (1) 
Appendix C Compound Interest Table 

3  (1) 
Appendix D Review of Geometric Figures 

4  (2) 
Appendix E Review of Volume and Surface Area 

6  (6) 
Appendix F Energy, US, and Metric Systems of Measurement 

12  (5) 
Answers to Selected Exercises 

17  (28) 
Solutions to Selected Exercises 

45  (55) 
Index 

100  (5) 
Photo Credits 

105  