R Review of Basic Algebra 

1  (1) 


2  (1) 




3  (10) 

Improving Your Math Study Skills: Tips for Using This Textbook 


10  (3) 

Operations with Real Numbers 


13  (10) 

Exponential Notation and Order of Operations 


23  (10) 

Improving Your Math Study Skills: Forming Math Study Groups 


28  (5) 



Introduction to Algebraic Expressions 


33  (6) 

Equivalent Algebraic Expressions 


39  (8) 

Simplifying Algebraic Expressions 


47  (8) 

Improving Your Math Study Skills: Getting Started in a Math Class 


50  (5) 

Properties of Exponents and Scientific Notation 


55  (14) 

Summary and Review Exercises 


65  (2) 


67  (2) 

Solving Linear Equations and Inequalities 


69  (78) 


70  (1) 


71  (12) 

Formulas and Applications 


83  (8) 

Applications and Problem Solving 


91  (16) 

Improving Your Math Study Skills: Extra Tips on Problem Solving 


100  (7) 

Sets, Interval Notation, and Inequalities 


107  (14) 

Intersections, Unions, and Compound Inequalities 


121  (12) 

Improving Your Math Study Skills: Learning Resources and Time Management 


128  (5) 

AbsoluteValue Equations and Inequalities 


133  (14) 

Summary and Review Exercises 


143  (2) 


145  (2) 

Graphs, Functions, and Applications 


147  (80) 


148  (1) 


149  (16) 


165  (14) 


179  (6) 

Linear Functions: Graphs and Slope 


185  (8) 

More on Graphing Linear Equations 


193  (10) 

Finding Equations of Lines 


203  (6) 

Mathematical Modeling with Linear Functions 


209  (18) 

Improving Your Math Study Skills: Better Test Taking 


214  (5) 

Summary and Review Exercises 


219  (2) 


221  (4) 

Cumulative Review: Chapters R2 


225  (2) 


227  (72) 


228  (1) 

Systems of Equations in Two Variables 


229  (8) 

Solving by Substitution or Elimination 


237  (14) 

Improving Your Math Study Skills: Studying for Tests and Making the Most of Tutoring Sessions 


246  (5) 

Solving Applied Problems: Systems of Two Equations 


251  (12) 

Systems of Equations in Three Variables 


263  (6) 

Solving Applied Problems: Systems of Three Equations 


269  (6) 

Systems of Linear Inequalities in Two Variables 


275  (12) 

Business and Economics Applications 


287  (12) 

Summary and Review Exercises 


293  (2) 


295  (2) 

Cumulative Review: Chapters R3 


297  (2) 

Polynomials and Polynomial Functions 


299  (74) 


300  (1) 

Introduction to Polynomials and Polynomial Functions 


301  (12) 

Multiplication of Polynomials 


313  (10) 

Improving Your Math Study Skills: A Checklist of Your Study Skills 


318  (5) 

Introduction to Factoring 


323  (10) 

Factoring Trinomials ax2 + 6x + c, a ≠ 1 


333  (8) 


341  (10) 

Factoring: A General Strategy 


351  (4) 

Applications of Polynomial Equations and Functions 


355  (18) 

Summary and Review Exercises 


367  (2) 


369  (2) 

Cumulative Review: Chapters R4 


371  (2) 

Rational Expressions, Equations, and Functions 


373  (78) 


374  (1) 

Rational Expressions and Functions: Multiplying, Dividing, and Simplifying 


375  (12) 

LCMs, LCDs, Addition, and Subtraction 


387  (10) 


397  (8) 

Complex Rational Expressions 


405  (6) 

Solving Rational Equations 


411  (8) 

Improving Your Math Study Skills: Are You Calculating or Solving? 


416  (3) 

Applications and Problem Solving 


419  (12) 

Formulas and Applications 


431  (4) 

Variation and Applications 


435  (16) 

Summary and Review Exercises 


445  (2) 


447  (2) 

Cumulative Review: Chapters R5 


449  (2) 

Radical Expressions, Equations, and Functions 


451  (70) 


452  (1) 

Radical Expressions and Functions 


453  (10) 

Rational Numbers as Exponents 


463  (6) 

Simplifying Radical Expressions 


469  (8) 

Addition, Subtraction, and More Multiplication 


477  (6) 

More on Division of Radical Expressions 


483  (6) 

Improving Your Math Study Skills: Classwork During and After Class 


486  (3) 

Solving Radical Equations 


489  (10) 

Applications Involving Powers and Roots 


499  (6) 


505  (16) 

Summary and Review Exercises 


515  (2) 


517  (2) 

Cumulative Review: Chapters R6 


519  (2) 

Quadratic Equations and Functions 


521  (82) 


522  (1) 

The Basics of Solving Quadratic Equations 


523  (14) 


537  (6) 

Applications Involving Quadratic Equations 


543  (10) 

More on Quadratic Equations 


553  (10) 

Improving Your Math Study Skills: How Many Women Have Won the Ultimate Math Contest? 


558  (5) 

Graphs of Quadratic Functions of the Type f(x) = a(x  h)2 + k 


563  (8) 

Graphs of Quadratic Functions of the Type f (x) = ax2 + bx + c 


571  (6) 

Mathematical Modeling with Quadratic Functions 


577  (12) 

Polynomial and Rational Inequalities 


589  (14) 

Summary and Review Exercises 


597  (2) 


599  (2) 

Cumulative Review: Chapters R7 


601  (2) 

Exponential and Logarithmic Functions 


603  (78) 


604  (1) 


605  (12) 

Inverse and Composite Functions 


617  (16) 


633  (10) 

Properties of Logarithmic Functions 


643  (6) 

Natural Logarithmic Functions 


649  (6) 

Solving Exponential and Logarithmic Equations 


655  (6) 

Mathematical Modeling with Exponential and Logarithmic Functions 


661  (20) 

Improving Your Math Study Skills: Preparing for a Final Exam 


670  (5) 

Summary and Review Exercises 


675  (2) 


677  (2) 

Cumulative Review: Chapters R8 


679  (2) 


681  


682  (1) 

Conic Sections: Parabolas and Circles 


683  (12) 


695  (8) 

Improving Your Math Study Skills: Study Tips for Trouble Spots 


700  (3) 

Conic Sections: Hyperbolas 


703  (6) 

Nonlinear Systems of Equations 


709  (22) 

Summary and Review Exercises 


719  (2) 


721  (2) 

Cumulative Review: Chapters R9 


723  (4) 


727  (4) 
Appendixes 


A Handling Dimension Symbols 


731  (3) 

B Determinants and Cramer's Rule 


734  (5) 

C Elimination Using Matrices 


739  (5) 

D The Algebra of Functions 


744  
Answers 

1  (1) 
Index 

1  