
Introduction to Algebraic Expressions 


1  (62) 


2  (7) 

The Commutative, Associative, and Distributive Laws 


9  (7) 


16  (8) 

Positive and Negative Real Numbers 


24  (7) 


31  (6) 

Subtraction of Real Numbers 


37  (7) 

Multiplication and Division of Real Numbers 


44  (6) 

Exponential Notation and Order of Operations 


50  (13) 


58  (3) 


61  (2) 

Equations, Inequalities, and Problem Solving 


63  (56) 


64  (7) 

Using the Principles Together 


71  (7) 


78  (6) 

Applications with Percent 


84  (6) 


90  (10) 


100  (8) 

Solving Applications with Inequalities 


108  (11) 


115  (2) 


117  (2) 


119  (56) 

Interpreting Graphs and Ordered Pairs 


120  (9) 

Graphing Linear Equations 


129  (9) 


138  (7) 

More Applications Using Graphs 


145  (12) 


157  (18) 


168  (3) 


171  (2) 

Cumulative Review: Chapters 13 


173  (2) 


175  (68) 

Exponents and Their Properties 


176  (8) 


184  (8) 

Addition and Subtraction of Polynomials 


192  (8) 

Multiplication of Polynomials 


200  (7) 


207  (8) 

Polynomials in Several Variables 


215  (8) 


223  (5) 

Negative Exponents and Scientific Notation 


228  (15) 


238  (3) 


241  (2) 

Polynomials and Factoring 


243  (54) 

Introduction to Factoring 


244  (6) 

Factoring Trinomials of the Type x2 + bx + c 


250  (7) 

Factoring Trinomials of the Type ax2 + bx + c 


257  (8) 

Factoring PerfectSquare Trinomials and Differences of Squares 


265  (8) 

Factoring: A General Strategy 


273  (4) 

Solving Quadratic Equations by Factoring 


277  (7) 


284  (13) 


294  (2) 


296  (1) 

Rational Expressions and Equations 


297  (64) 


298  (7) 

Multiplication and Division 


305  (5) 

Addition, Subtraction, and Least Common Denominators 


310  (9) 

Addition and Subtraction with Unlike Denominators 


319  (8) 

Complex Rational Expressions 


327  (5) 

Solving Rational Equations 


332  (5) 

Applications Using Rational Equations and Proportions 


337  (13) 


350  (11) 


355  (3) 


358  (1) 

Cumulative Review: Chapters 16 


359  (2) 


361  (26) 


362  (8) 


370  (3) 

Linear Inequalities in Two Variables 


373  (5) 

Direct and Inverse Variation 


378  (9) 


384  (2) 


386  (1) 

Systems of Equations and Problem Solving 


387  (38) 

Systems of Equations and Graphing 


388  (7) 

Systems of Equations and Substitution 


395  (6) 

Systems of Equations and Elimination 


401  (9) 

More Applications Using Systems 


410  (9) 

Systems of Linear Inequalities 


419  (6) 


421  (2) 


423  (2) 

Radical Expressions and Equations 


425  (46) 

Introduction to Square Roots and Radical Expressions 


426  (7) 

Multiplying and Simplifying Radical Expressions 


433  (5) 

Quotients Involving Square Roots 


438  (5) 

More Operations with Radicals 


443  (4) 


447  (7) 

Applications Using Right Triangles 


454  (7) 

Higher Roots and Rational Exponents 


461  (10) 


466  (3) 


469  (2) 


471  

Solving Quadratic Equations: The Principle of Square Roots 


472  

Solving Quadratic Equations: Completing the Square 


476  

The Quadratic Formula and Applications 


482  

Complex Numbers as Solutions of Quadratic Equations 


491  

Graphs of Quadratic Equations 


494  


502  


511  


513  

Cumulative Review: Chapters 110 


515  
Appendixes 



519  

B Factoring Sums or Differences of Cubes 


523  
Tables 


1 Fractional and Decimal Equivalents 


529  

2 Squares and Square Roots 


530  


531  
Answers 

A1  
Index 

I1  