
Introduction to Algebraic Expressions 




2  (11) 

The Commutative, Associative, and Distributive Laws 


13  (7) 


20  (10) 

Positive and Negative Real Numbers 


30  (9) 


39  (7) 

Subtraction of Real Numbers 


46  (8) 

Multiplication and Division of Real Numbers 


54  (9) 

Exponential Notation and Order of Operations 


63  (17) 


74  (1) 


75  (3) 


78  (2) 

Equations, Inequalities, and Problem Solving 




80  (9) 

Using the Principles Together 


89  (8) 


97  (7) 

Applications with Percent 


104  (10) 


114  (13) 


127  (8) 

Solving Applications with Inequalities 


135  (13) 


143  (1) 


144  (2) 


146  (2) 



Reading Graphs, Plotting Points, and Scaling Graphs 


148  (11) 

Graphing Linear Equations 


159  (10) 


169  (8) 


177  (10) 


187  (14) 


201  (8) 


209  (17) 


219  (1) 


219  (3) 


222  (1) 

Cumulative Review: Chapters 13 


223  (3) 



Exponents and Their Properties 


226  (9) 


235  (9) 

Addition and Subtraction of Polynomials 


244  (9) 

Multiplication of Polynomials 


253  (8) 


261  (9) 

Polynomials in Several Variables 


270  (9) 


279  (5) 

Negative Exponents and Scientific Notation 


284  (16) 


294  (1) 


295  (3) 


298  (2) 

Polynomials and Factoring 



Introduction to Factoring 


300  (8) 

Factoring Trinomials of the Type x2 + bx + c 


308  (9) 

Factoring Trinomials of the Type ax2 + bx + c 


317  (9) 

Factoring PerfectSquare Trinomials and Differences of Squares 


326  (8) 

Factoring: A General Strategy 


334  (6) 

Solving Quadratic Equations by Factoring 


340  (8) 


348  (16) 


359  (1) 


360  (1) 


361  (3) 

Rational Expressions and Equations 




364  (7) 

Multiplication and Division 


371  (6) 

Addition, Subtraction, and Least Common Denominators 


377  (10) 

Addition and Subtraction with Unlike Denominators 


387  (9) 

Complex Rational Expressions 


396  (6) 

Solving Rational Equations 


402  (8) 

Applications Using Rational Equations and Proportions 


410  (20) 


423  (1) 


424  (2) 


426  (1) 

Cumulative Review: Chapters 16 


427  (3) 

Systems and More Graphing 



Systems of Equations and Graphing 


430  (7) 

Systems of Equations and Substitution 


437  (7) 

Systems of Equations and Elimination 


444  (9) 

More Applications Using Systems 


453  (11) 

Linear Inequalities in Two Variables 


464  (5) 

Systems of Linear Inequalities 


469  (3) 

Direct and Inverse Variation 


472  (12) 


479  (1) 


480  (2) 


482  (2) 

Radical Expressions and Equations 



Introduction to Square Roots and Radical Expressions 


484  (8) 

Multiplying and Simplifying Radical Expressions 


492  (6) 

Quotients Involving Square Roots 


498  (5) 

Radical Expressions with Several Terms 


503  (5) 


508  (7) 

Applications Using Right Triangles 


515  (8) 

Higher Roots and Rational Exponents 


523  (11) 


529  (1) 


530  (2) 


532  (2) 



Solving Quadratic Equations: The Principle of Square Roots 


534  (6) 

Solving Quadratic Equations: Completing the Square 


540  (6) 

The Quadratic Formula and Applications 


546  (10) 


556  (6) 

Complex Numbers as Solutions of Quadratic Equations 


562  (4) 

Graphs of Quadratic Equations 


566  (6) 


572  (19) 


583  (1) 


584  (2) 


586  (1) 

Cumulative Review: Chapters 19 


587  (4) 
Appendix A: Factoring Sums or Differences of Cubes 

591  (3) 
Appendix B: Mean, Median, and Mode 

594  (4) 
Appendix C: Sets 

598  (5) 
Table 1: Fraction and Decimal Equivalents 

603  (1) 
Table 2: Squares and Square Roots with Approximations to Three Decimal Places 

604  (1) 
Table 3: Geometric Formulas 

605  
Answers 

1  (1) 
Glossary 

1  (1) 
Index 

1  