
A Review of Basic Algebra 


1  (83) 


2  (11) 

Arithmetic and Properties of Real Numbers 


13  (14) 


27  (12) 


39  (7) 


46  (11) 

Using Equations to Solve Problems 


57  (11) 

More Applications of Equations 


68  (15) 


75  (1) 


76  (5) 


81  (2) 

Graphs, Equations of Lines, and Functions 


83  (68) 

Graphing Linear Equations 


84  (15) 

Slope of a Nonvertical Line 


99  (10) 

Writing Equations of Lines 


109  (13) 

Introduction to Functions 


122  (10) 

Graphs of Other Functions 


132  (19) 


143  (1) 


144  (4) 


148  (1) 

Cumulative Review Exercises 


149  (2) 


151  (57) 


152  (8) 


160  (15) 

Solutions of Three Equations in Three Variables 


175  (10) 


185  (9) 


194  (14) 


204  (1) 


205  (2) 


207  (1) 


208  (57) 


209  (12) 

Equations and Inequalities with Absolute Values 


221  (13) 

Linear Inequalities in Two Variables 


234  (8) 


242  (6) 


248  (17) 


258  (1) 


259  (3) 


262  (1) 

Cumulative Review Exercises 


263  (2) 

Polynomials and Polynomial Functions 


265  (74) 

Polynomials and Polynomial Functions 


266  (9) 

Adding and Subtracting Polynomials 


275  (5) 


280  (11) 

The Greatest Common Factor and Factoring by Grouping 


291  (9) 

The Difference of Two Squares; the Sum and Difference of Two Cubes 


300  (8) 


308  (11) 

Summary of Factoring Techniques 


319  (4) 

Solving Equations by Factoring 


323  (16) 


331  (2) 


333  (5) 


338  (1) 


339  (86) 

Rational Functions and Simplifying Rational Expressions 


340  (12) 


352  (13) 

Multiplying and Dividing Rational Expressions 


365  (8) 

Adding and Subtracting Rational Expressions 


373  (10) 


383  (10) 

Equations Containing Rational Expressions 


393  (10) 


403  (7) 

Synthetic Division (Optional) 


410  (15) 


416  (2) 


418  (3) 


421  (1) 

Cumulative Review Exercises 


422  (3) 

Radicals and Rational Exponents 


425  (74) 


426  (12) 


438  (7) 


445  (8) 

Simplifying and Combining Radical Expressions 


453  (10) 

Multiplying and Dividing Radical Expressions 


463  (8) 


471  (9) 


480  (19) 


490  (1) 


491  (6) 


497  (2) 

Quadratic Functions, Inequalities, and Algebra of Functions 


499  (71) 

Solving Quadratic Equations by Completing the Square 


500  (10) 

Solving Quadratic Equations by the Quadratic Formula 


510  (7) 

The Discriminant and Equations That Can Be Written in Quadratic Form 


517  (6) 

Graphs of Quadratic Functions 


523  (12) 

Quadratic and Other Nonlinear Inequalities 


535  (9) 

Algebra and Composition of Functions 


544  (8) 


552  (18) 


561  (2) 


563  (4) 


567  (1) 

Cumulative Review Exercises 


568  (2) 

Exponential and Logarithmic Functions 


570  (63) 


571  (11) 

Basee Exponential Functions 


582  (8) 


590  (10) 


600  (6) 


606  (9) 

Exponential and Logarithmic Equations 


615  (18) 


624  (2) 


626  (5) 


631  (2) 

More Graphing and Conic Sections 


633  (51) 

The Circle and the Parabola 


634  (13) 


647  (9) 


656  (10) 

Solving Simultaneous SecondDegree Equations 


666  (6) 

PiecewiseDefined Functions and the Greatest Integer Function 


672  (12) 


678  (1) 


679  (2) 


681  (2) 

Cumulative Review Exercises 


683  (1) 


684  (1) 


685  (6) 

The nth Term of a Binomial Expansion 


691  (2) 


693  (8) 


701  (7) 

Infinite Geometric Sequences 


708  (4) 

Permutations and Combinations 


712  (10) 


722  (2) 


724  (3) 


727  (1) 

Cumulative Review Exercises 


728  

Appendix I Symmetries of Graphs 


1  (5) 

Appendix II Sample Final Examination 


6  (3) 


9  (3) 


9  (1) 

Table B Base10 Logarithms 


10  (1) 

Table C Basee Logarithms 


11  (1) 

Appendix IV Answers to Selected Exercises 


12  
Index 

1  