
A Review of Basic Algebra 


1  (78) 


2  (12) 

Integer Exponents and Scientific Notation 


14  (12) 

Rational Exponents and Radicals 


26  (12) 


38  (12) 


50  (9) 


59  (20) 


69  (2) 


71  (6) 


77  (2) 

Equations and Inequalities 


79  (85) 


80  (9) 

Applications of Linear Equations 


89  (10) 


99  (11) 

Applications of Quadratic Equations 


110  (8) 


118  (10) 

Polynomial and Radical Equations 


128  (7) 


135  (12) 


147  (17) 


155  (1) 


156  (5) 


161  (1) 

Cumulative Review Exercises 


162  (2) 

The Rectangular Coordinate System and Graphs of Equations 


164  (77) 

The Rectangular Coordinate System 


165  (15) 

The Slope of a Nonvertical Line 


180  (12) 

Writing Equations of Lines 


192  (15) 


207  (17) 


224  (17) 


231  (2) 


233  (6) 


239  (2) 


241  (91) 

Functions and Function Notation 


242  (12) 


254  (10) 

Polynomial and Other Functions 


264  (13) 

Translating and Stretching Graphs 


277  (10) 


287  (17) 


304  (10) 


314  (18) 


323  (1) 


324  (4) 


328  (2) 

Cumulative Review Exercises 


330  (2) 

Exponential and Logarithmic Functions 


332  (63) 

Exponential Functions and Their Graphs 


333  (13) 

Applications of Exponential Functions 


346  (6) 

Logarithmic Functions and Their Graphs 


352  (10) 

Applications of Logarithmic Functions 


362  (6) 


368  (10) 

Exponential and Logarithmic Equations 


378  (17) 


387  (2) 


389  (5) 


394  (1) 

Solving Polynomial Equations 


395  (38) 

The Remainder and Factor Theorems; Synthetic Division 


396  (9) 

Descartes' Rule of Signs and Bounds on Roots 


405  (7) 

Rational Roots of Polynomial Equations 


412  (9) 

Irrational Roots of Polynomial Equations 


421  (12) 


427  (1) 


428  (3) 


431  (1) 

Cumulative Review Exercises 


432  (1) 


433  (93) 

Systems of Linear Equations 


434  (14) 

Gaussian Elimination and Matrix Methods 


448  (12) 


460  (13) 


473  (8) 


481  (12) 


493  (8) 

Graphs of Linear Inequalities 


501  (7) 


508  (18) 


518  (1) 


519  (5) 


524  (2) 

Conic Sections and Quadratic Systems 


526  (53) 

The Circle and the Parabola 


527  (14) 


541  (13) 


554  (10) 

Solving Simultaneous SecondDegree Equations 


564  (15) 


570  (2) 


572  (4) 


576  (1) 

Cumulative Review Exercises 


577  (2) 

NaturalNumber Functions and Probability 


579  (66) 


580  (6) 

Sequences, Series, and Summation Notation 


586  (8) 


594  (6) 


600  (8) 


608  (5) 

Permutations and Combinations 


613  (10) 


623  (6) 

Computation of Compound Probabilities 


629  (5) 

Odds and Mathematical Expectation 


634  (11) 


637  (2) 


639  (4) 


643  (2) 

The Mathematics of Finance 


645  


646  (10) 

Annuities and Future Value 


656  (6) 

Present Value of an Annuity; Amortization 


662  


668  (1) 


669  (3) 


672  (1) 

Cumulative Review Exercises 


672  

Appendix I A Proof of the Binomial Theorem 


1  (2) 

Appendix II An Alternate Approach to Circles and Parabolas 


3  (20) 


23  (3) 


23  (1) 

Table B Base10 Logarithms 


24  (1) 

Table C Basee Logarithms 


25  (1) 

Appendix IV Answers to Selected Exercises 


26  
Index 

1  