
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  (72) 

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) 


228  (5) 

Negative Exponents and Scientific Notation 


233  (14) 


242  (4) 


246  (1) 

Polynomials and Factoring 


247  (60) 

Introduction to Factoring 


248  (6) 

Factoring Trinomials of the Type x2 + bx + c 


254  (7) 

Factoring Trinomials of the Type ax2 + bx + c 


261  (8) 

Factoring PerfectSquare Trinomials and Differences of Squares 


269  (9) 

Factoring Sums or Differences of cubes 


278  (3) 

Factoring: A General Strategy 


281  (6) 

Solving Polynomial Equations by Factoring 


287  (7) 


294  (13) 


304  (2) 


306  (1) 

Rational Expressions and Equations 


307  (64) 


308  (7) 

Multiplication and Division 


315  (5) 

Addition, Subtraction, and Least Common Denominators 


320  (9) 

Addition and Subtraction with Unlike Denominators 


329  (8) 

Complex Rational Expressions 


337  (5) 

Solving Rational Equations 


342  (5) 

Applications Using Rational Equations and Proportions 


347  (13) 


360  (11) 


365  (3) 


368  (1) 

Cumulative Review: Chapters 16 


369  (2) 


371  (52) 


372  (16) 

Linear Functions: Graphs and Models 


388  (13) 


401  (9) 


410  (13) 


418  (3) 


421  (2) 

Systems of Equations and Problem Solving 


423  (64) 

Systems of Equations in Two Variables 


424  (10) 

Solving by Substitution or Elimination 


434  (7) 

Solving Applications: Systems of Two Equations 


441  (12) 

Systems of Equations in Three Variables 


453  (8) 

Solving Applications: Systems of Three Equations 


461  (6) 

Elimination Using Matrices 


467  (4) 

Determinants and Cramer's Rule 


471  (5) 

Business and Economic Applications 


476  (11) 


482  (3) 


485  (2) 

Inequalities and Problem Solving 


487  (50) 

Interval Notation and Problem Solving 


488  (9) 

Intersections, Unions, and compound Inequalities 


497  (10) 

AbsoluteValue Equations and Inequalities 


507  (8) 

Inequalities in Two Variables 


515  (9) 

Applications Using Linear Programming 


524  (13) 


531  (2) 


533  (2) 

Cumulative Review: Chapters 19 


535  (2) 


537  (58) 

Radical Expressions and Functions 


538  (8) 

Rational Numbers as Exponents 


546  (6) 

Multiplying, Adding, and Substracting Radical Expressions 


552  (8) 

Multiplying, Dividing, and Simplifying Radical Expressions 


560  (5) 

More with Multiplication and Division 


565  (6) 

Solving Radical Equations 


571  (7) 


578  (6) 


584  (11) 


591  (3) 


594  (1) 

Quadratic Functions and Equations 


595  (80) 


596  (10) 


606  (6) 

Applications Involving Quadratic Equations 


612  (7) 

Studying Solutions of Quadratic Equations 


619  (4) 

Equations Reducible to Quadratic 


623  (6) 

Variation and Problem Solving 


629  (10) 

Quadratic Functions and Their Graphs 


639  (9) 

More About Graphing Quadratic Functions 


648  (5) 

Problem Solving and Quadratic Functions 


653  (8) 

Polynomial and Rational Inequalities 


661  (14) 


669  (4) 


673  (2) 

Exponential and Logarithmic Functions 


675  (64) 


676  (9) 

Composite and Inverse Functions 


685  (11) 


696  (6) 

Properties of Logarithmic Functions 


702  (6) 

Common and Natural Logarithms 


708  (6) 

Solving Exponential and Logarithmic Equations 


714  (5) 

Applications of Exponential and Logarithmic Functions 


719  (20) 


732  (3) 


735  (1) 

Cumulative Review: Chapters 112 


736  (3) 


739  (40) 

Conic Sections: Parabolas and Circles 


740  (10) 


750  (7) 

Conic Sections: Hyperbolas 


757  (9) 

Nonlinear Systems of Equations 


766  (13) 


775  (3) 


778  (1) 

Sequences, Series, and Combinatorics 


779  (62) 


780  (6) 

Arithmetic Sequences and Series 


786  (8) 

Geometric Sequences and Series 


794  (10) 

Combinatorics: Permutations 


804  (7) 

Combinatorics: Combinations 


811  (7) 


818  (6) 


824  (17) 


833  (3) 


836  (2) 

Cumulative Review: Chapters 114 


838  (3) 
Elementary Algebra Review 

841  (1) 

Introduction to Algebraic Expressions 


842  (9) 

Equations, Inequalities, and Problem Solving 


851  (11) 


862  (7) 


869  (9) 

Polynomials and Factoring 


878  (11) 

Rational Expressions and Equations 


889  (6) 
Tables 


Fractional and Decimal Equivalents 


905  (1) 


906  (1) 
Answers 

A1  (1) 
Index 

I1  