Preface 

xi  


2  (76) 

Tips for Success in Mathematics 


4  (4) 

Symbols and Sets of Numbers 


8  (9) 


17  (8) 

Introduction to Variable Expressions and Equations 


25  (9) 


34  (7) 


41  (7) 

Multiplying and Dividing Real Numbers 


48  (8) 

Properties of Real Numbers 


56  (5) 


61  (17) 

Project: Creating and Interpreting Graphs 


68  (1) 


68  (1) 


69  (4) 


73  (3) 


76  (2) 

Equations, Inequalities, and Problem Solving 


78  (82) 

Simplifying Algebraic Expressions 


80  (6) 

The Addition Property of Equality 


86  (7) 

The Multiplication Property of Equality 


93  (6) 


99  (8) 

An Introduction to Problem Solving 


107  (9) 

Formulas and Problem Solving 


116  (8) 

Percent and Problem Solving 


124  (9) 


133  (7) 

Solving Linear Inequalities 


140  (20) 

Project: Developing a Budget 


150  (1) 


151  (1) 


151  (5) 


156  (2) 


158  (1) 


159  (1) 


160  (56) 

The Rectangular Coordinate System 


162  (11) 

Graphing Linear Equations 


173  (9) 


182  (7) 


189  (13) 

Graphing Linear Inequalities 


202  (14) 


208  (1) 


208  (1) 


209  (3) 


212  (2) 


214  (1) 


215  (1) 

Exponents and Polynomials 


216  (56) 


218  (10) 

Adding and Subtracting Polynomials 


228  (9) 


237  (4) 


241  (6) 

Negative Exponents and Scientific Notation 


247  (9) 


256  (16) 

Modeling with Polynomials 


262  (1) 


263  (1) 


264  (2) 


266  (3) 


269  (1) 


270  (2) 


272  (58) 

The Greatest Common Factor and Factoring by Grouping 


274  (6) 

Factoring Trinomials of the Form x2 + bx + c 


280  (6) 

Factoring Trinomials of the Form ax2 + bx + c 


286  (8) 


294  (6) 

Choosing a Factoring Strategy 


300  (5) 

Solving Quadratic Equations by Factoring 


305  (8) 

Quadratic Equations and Problem Solving 


313  (17) 

Choosing Among Building Options 


322  (1) 


322  (1) 


323  (3) 


326  (1) 


327  (1) 


328  (2) 


330  (68) 

Simplifying Rational Expressions 


332  (7) 

Multiplying and Dividing Rational Expressions 


339  (7) 

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


346  (7) 

Adding and Subtracting Rational Expressions with Unlike Denominators 


353  (6) 

Simplifying Complex Fractions 


359  (6) 

Solving Equations Containing Rational Expressions 


365  (8) 


373  (6) 

Rational Equations and Problem Solving 


379  (19) 

Comparing Dosage Formulas 


387  (1) 


388  (1) 


389  (4) 


393  (2) 


395  (1) 


396  (2) 


398  (40) 


400  (6) 


406  (8) 

Graphing Nonlinear Equations 


414  (7) 


421  (17) 

Matching Descriptions of Linear Data to Their Equations and Graphs 


430  (1) 


431  (1) 


432  (1) 


433  (2) 


435  (1) 


436  (2) 

Solving Systems of Linear Equations 


438  (42) 

Solving Systems of Linear Equations by Graphing 


440  (7) 

Solving Systems of Linear Equations by Substitution 


447  (6) 

Solving Systems of Linear Equations by Addition 


453  (6) 

Systems of Linear Equations and Problem Solving 


459  (9) 

Systems of Linear Inequalities 


468  (12) 

Analyzing the Courses of Ships 


472  (1) 


473  (1) 


474  (3) 


477  (1) 


478  (1) 


479  (1) 


480  (48) 


482  (6) 


488  (6) 

Adding and Subtracting Radicals 


494  (3) 

Multiplying and Dividing Radicals 


497  (7) 

Solving Equations Containing Radicals 


504  (5) 

Radical Equations and Problem Solving 


509  (7) 


516  (12) 

Investigating the Dimensions of Cylinders 


520  (1) 


521  (1) 


522  (3) 


525  (1) 


526  (1) 


527  (1) 

Solving Quadratic Equations 


528  (2) 

Solving Quadratic Equations by the Square Root Method 


530  (4) 

Solving Quadratic Equations by Completing the Square 


534  (5) 

Solving Quadratic Equations by the Quadratic Formula 


539  (7) 

Summary of Methods for Solving Quadratic Equations and Problem Solving 


546  (4) 

Complex Solutions of Quadratic Equations 


550  (5) 

Graphing Quadratic Equations 


555  (18) 

Modeling a Physical Situation 


562  (1) 


563  (1) 


564  (3) 


567  (2) 


569  (1) 


570  (3) 
APPENDICES 


A. Operations on Decimals 


573  (2) 

B. Review of Angles, Lines, and Special Triangles 


575  (8) 

C. Review of Geometric Figures 


583  (4) 

D. Mean, Median, and Mode 


587  (4) 

E. Table of Squares and Square Roots 


591  (2) 

F. Review of Volume and Surface Area 


593  
Answers to Selected Exercises 

1  (1) 
Index 

1  (1) 
Photo Credits 

1  