Preface 

xi  
To The Student 

xxiii  


1  (90) 

Study Skills for Success in Mathematics 


2  (7) 


9  (12) 


21  (12) 


33  (5) 


38  (5) 


43  (8) 

Subtraction of Real Numbers 


51  (8) 

Multiplication and Division of Real Numbers 


59  (8) 

Exponents, Parentheses, and the Order of Operations 


67  (13) 

Properties of the Real Number System 


80  (11) 


85  (2) 


87  (2) 


89  (2) 


91  (62) 


92  (9) 

The Addition Property of Equality 


101  (10) 

The Multiplication Property of Equality 


111  (9) 

Solving Linear Equations with a Variable on Only One Side of the Equation 


120  (7) 

Solving Linear Equations with the Variable on Both Sides of the Equation 


127  (8) 


135  (18) 


149  (1) 


150  (1) 


151  (1) 


152  (1) 

Formulas and Applications of Algebra 


153  (68) 


154  (13) 

Changing Application Problems into Equations 


167  (12) 

Solving Application Problems 


179  (16) 


195  (5) 

Motion and Mixture Problems 


200  (21) 


214  (1) 


215  (2) 


217  (1) 


218  (3) 

Graphing Linear Equations 


221  (50) 

The Cartesian Coordinate System and Linear Equations in Two Variables 


222  (10) 

Graphing Linear Equations 


232  (12) 


244  (7) 

SlopeIntercept and PointSlope Forms of a Linear Equation 


251  (20) 


265  (1) 


266  (2) 


268  (1) 


269  (2) 

Exponents and Polynomials 


271  (58) 


272  (9) 


281  (7) 


288  (8) 

Addition and Subtraction of Polynomials 


296  (7) 

Multiplication of Polynomials 


303  (11) 


314  (15) 


324  (1) 


325  (2) 


327  (1) 


328  (1) 


329  (58) 

Factoring a Monomial from a Polynomial 


330  (8) 


338  (5) 

Factoring Trinomials of the form ax2 + bx + c, a = 1 


343  (9) 

Factoring Trinomials of the form ax2 + bx + c, a = 1 


352  (13) 

Special Factoring Formulas and a General Review of Factoring 


365  (7) 

Solving Quadratic Equations Using Factoring 


372  (15) 


382  (1) 


383  (2) 


385  (1) 


385  (2) 

Rational Expressions and Equations 


387  (72) 

Simplifying Rational Expressions 


388  (7) 

Multiplication and Division of Rational Expressions 


395  (7) 

Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator 


402  (8) 

Addition and Subtraction of Rational Expressions 


410  (9) 


419  (5) 

Solving Rational Equations 


424  (9) 

Rational Equations: Applications and Problem Solving 


433  (11) 


444  (15) 


453  (1) 


453  (3) 


456  (1) 


457  (2) 

Functions and Their Graphs 


459  (70) 


460  (8) 


468  (1) 


468  (29) 

Slope, Modeling, and Linear Relationships 


497  (17) 


514  (15) 


523  (1) 


524  (2) 


526  (2) 


528  (1) 

Systems of Linear Equations 


529  (68) 

Solving Systems of Equations Graphically 


530  (10) 

Solving Systems of Equations by Substitution 


540  (6) 

Solving Systems of Equations by the Addition Method 


546  (8) 

Solving Systems of Linear Equations in Three Variables 


554  (7) 

Systems of Linear Equations: Applications and Problem Solving 


561  (13) 

Solving Systems of Equations Using Matrices 


574  (8) 

Solving Systems of Equations Using Determinants and Cramer's Rule 


582  (15) 


590  (2) 


592  (2) 


594  (1) 


595  (2) 

Inequalities in One and Two Variables 


597  (40) 

Solving Linear Inequalities in One Variable 


598  (15) 

Solving Equations and Inequalities Containing Absolute Value 


613  (10) 

Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities 


623  (14) 


631  (1) 


631  (2) 


633  (1) 


634  (3) 

Roots, Radicals, and Complex Numbers 


637  (68) 


638  (8) 


646  (8) 

Multiplying and Simplifying Radicals 


654  (8) 

Dividing and Simplifying Radicals 


662  (10) 

Adding and Subtracting Radicals 


672  (6) 

Solving Radical Equations 


678  (12) 


690  (15) 


698  (1) 


699  (3) 


702  (1) 


703  (2) 


705  (76) 

Solving Quadratic Equations by Completing the Square 


706  (10) 

Solving Quadratic Equations by the Quadratic Formula 


716  (14) 

Quadratic Equations: Applications and Problem Solving 


730  (7) 

Factoring Expressions and Solving Equations that are Quadratic in Form 


737  (8) 

Graphing Quadratic Functions 


745  (21) 

Quadractic and Other Inequalities in One Variable 


766  (15) 


775  (1) 


776  (2) 


778  (1) 


779  (2) 

Exponential and Logarithmic Functions 


781  (62) 

Composite and Inverse Functions 


782  (12) 


794  (7) 


801  (6) 


807  (6) 


813  (6) 

Exponential and Logarithmic Equations 


819  (7) 

Natural Exponential and Natural Logarithmic Functions 


826  (17) 


838  (1) 


839  (2) 


841  (1) 


842  (1) 


843  (38) 

The Parabola and the Circle 


844  (12) 


856  (5) 


861  (6) 

Nonlinear Systems of Equations and Their Applications 


867  (14) 


875  (1) 


876  (2) 


878  (1) 


879  (2) 

Sequences, Series, and the Binomial Theorem 


881  (38) 


882  (8) 

Arithmetic Sequences and Series 


890  (6) 

Geometric Sequences and Series 


896  (11) 


907  (12) 


913  (1) 


914  (2) 


916  (1) 


917  (2) 
Appendices 

919  (1) 

Review of Decimals and Percents 


919  (3) 

Finding the Greatest Common Factor and Least Common Denominator 


922  (2) 

Geometry Concepts and Formulas 


924  (7) 

Review of Exponents, Polynomials, and Factoring 


931  
Answers 

A1  
Index 

I1  
Photo Credits 

P1  