
A Review of Basic Algebra 


1  (93) 

Describing Numerical Relationships 


2  (8) 


10  (11) 

Operations with Real Numbers 


21  (16) 

Simplifying Algebraic Expressions 


37  (11) 

Solving Linear Equations and Formulas 


48  (12) 

Using Equations to Solve Problems 


60  (11) 

More Applications of Equations 


71  (23) 


85  (1) 


86  (1) 


87  (5) 


92  (2) 

Graphs, Equations of Lines, and Functions 


94  (88) 

The Rectangular Coordinate System 


95  (13) 

Graphing Linear Equations 


108  (13) 

Rate of Change and the Slope of a Line 


121  (12) 

Writing Equation of Lines 


133  (12) 

Introduction to Functions 


145  (12) 


157  (25) 


171  (1) 


172  (1) 


173  (5) 


178  (2) 

Cumulative Review Exercises 


180  (2) 


182  (64) 

Solving Systems by Graphing 


183  (10) 

Solving Systems Algebraically 


193  (13) 

Systems with Three Variables 


206  (11) 

Solving Systems Using Matrices 


217  (10) 

Solving Systems Using Determinants 


227  (19) 

Key Concept: Systems of Equations 


238  (1) 


239  (1) 


240  (4) 


244  (2) 


246  (61) 

Solving Linear Inequalities 


247  (11) 

Solving Compound Inequalities 


258  (9) 

Solving Absolute Value Equations and Inequalities 


267  (12) 

Linear Inequalities in Two Variables 


279  (9) 

Systems of Linear Inequalities 


288  (19) 

Key Concept: Inequalities 


297  (1) 


298  (1) 


299  (4) 


303  (1) 

Cumulative Review Exercises 


304  (3) 

Exponents, Polynomials, and Polynomial Functions 


307  (86) 


308  (9) 


317  (7) 

Polynomials and Polynomial Functions 


324  (12) 


336  (9) 

The Greatest Common Factor and Factoring by Grouping 


345  (8) 

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


353  (7) 


360  (10) 

Summary of Factoring Techniques 


370  (4) 

Solving Equations by Factoring 


374  (19) 


384  (1) 


385  (1) 


386  (5) 


391  (2) 


393  (86) 

Rational Functions and Simplifying Rational Expressions 


394  (12) 


406  (13) 

Multiplying and Dividing Rational Expressions 


419  (9) 

Adding and Subtracting Rational Expressions 


428  (9) 


437  (10) 

Equations Containing Rational Expressions 


447  (13) 


460  (19) 

Key Concept: Expressions and Equations 


468  (1) 


469  (1) 


470  (4) 


474  (2) 

Cumulative Review Exercises 


476  (3) 

Radicals and Rational Exponents 


479  (71) 

Radical Expressions and Radical Functions 


480  (12) 


492  (9) 


501  (10) 

Simplifying and Combining Radical Expressions 


511  (10) 

Multiplying and Dividing Radical Expressions 


521  (10) 

Geometric Applications of Radicals 


531  (19) 


541  (1) 


542  (1) 


543  (5) 


548  (2) 

Quadratic Equations, Functions, and Inequalities 


550  (68) 


551  (10) 


561  (8) 

Quadratic Functions and Their Graphs 


569  (14) 


583  (10) 

The Discriminant and Equations That Can Be Written in Quadratic Form 


593  (6) 

Quadratic and Other Nonlinear Inequalities 


599  (19) 

Key Concept: Solving Quadratic Equations 


608  (1) 


609  (1) 


610  (4) 


614  (1) 

Cumulative Review Exercises 


615  (3) 

Exponential and Logarithmic Functions 


618  (85) 

Algebra and Composition of Functions 


619  (7) 


626  (10) 


636  (13) 

Basee Exponential Functions 


649  (9) 


658  (9) 


667  (6) 


673  (10) 

Exponential and Logarithmic Equations 


683  (20) 

Key Concept: Inverse Functions 


693  (1) 


694  (1) 


695  (5) 


700  (3) 

Conic Sections; More Graphing 


703  (42) 

The Circle and the Parabola 


704  (12) 


716  (8) 


724  (9) 

Solving Simultaneous SecondDegree Equations 


733  (12) 

Key Concept: Conic Sections 


740  (1) 


741  (1) 


742  (2) 


744  (1) 


745  (44) 


746  (7) 


753  (7) 


760  (9) 

Permutations and Combinations 


769  (9) 


778  (11) 

Key Concept: The Language of Algebra 


783  (1) 


784  (1) 


785  (3) 


788  (1) 

Cumulative Review Exercises 


789  
Appendix I Numerical Trigonometry 

A1  
Appendix II Synthetic Division 

A12  
Appendix III Tables 

A19  



Table B Base10 Logarithms 



Table C Basee Logarithms 


Appendix IV Answers to Selected Exercises 

A23  
Index 

I1  