PREFACE 

ix  (12) 
TO THE STUDENT 

xxi  


1  (90) 

1.1 Study Skills for Success in Mathematics 


2  (7) 


9  (12) 


21  (12) 

1.4 The Real Number System 


33  (5) 


38  (5) 

1.6 Addition of Real Numbers 


43  (8) 

1.7 Subtraction of Real Numbers 


51  (8) 

1.8 Multiplication and Division of Real Numbers 


59  (8) 

1.9 Exponents, Parentheses, and the Order of Operations 


67  (13) 

1.10 Properties of the Real Number System 


80  (5) 


85  (2) 


87  (2) 


89  (2) 

2) Solving Linear Equations and Inequalities 


91  (70) 


92  (9) 

2.2 The Addition Property of Equality 


101  (10) 

2.3 The Multiplication Property of Equality 


111  (9) 

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


120  (7) 

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


127  (8) 

2.6 Ratios And Proportions 


135  (14) 

2.7 Inequalities in One Variable 


149  (7) 


156  (1) 


157  (1) 


158  (1) 


159  (2) 

3) Formulas and Applications of Algebra 


161  (68) 


162  (13) 

3.2 Changing Application Problems into Equations 


175  (12) 

3.3 Solving Application Problems 


187  (16) 


203  (5) 

3.5 Motion and Mixture Problems 


208  (14) 


222  (1) 


223  (2) 


225  (1) 


226  (3) 

4) Exponents and Polynomials 


229  (54) 


230  (9) 


239  (7) 


246  (8) 

4.4 Addition and Subtraction of Polynomials 


254  (7) 

4.5 Multiplication of Polynomials 


261  (11) 

4.6 Division of Polynomials 


272  (7) 


279  (1) 


279  (3) 


282  (1) 


282  (1) 


283  (58) 

5.1 Factoring a Monomial from a Polynomial 


284  (8) 

5.2 Factoring by Grouping 


292  (5) 

5.3 Factoring Trinomials of the form ax^2 + bx + c, a = 1 


297  (9) 

5.4 Factoring Trinomials of the form ax^2 + bx + c, a is not equal to 1 


306  (13) 

5.5 Special Factoring Formulas and a General Review of Factoring 


319  (7) 

5.6 Solving Quadratic Equations Using Factoring 


326  (9) 


335  (1) 


336  (2) 


338  (1) 


338  (3) 

6) Rational Expressions and Equations 


341  (62) 

6.1 Simplifying Rational Expressions 


342  (7) 

6.2 Multiplication and Division of Rational Expressions 


349  (7) 

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


356  (8) 

6.4 Addition and Subtraction of Rational Expressions 


364  (9) 


373  (5) 

6.6 Solving Rational Equations 


378  (9) 

6.7 Rational Equations: Applications and Problem Solving 


387  (11) 


398  (1) 


399  (2) 


401  (1) 


402  (1) 

7) Graphing Linear Equations 


403  (64) 

7.1 The Cartesian Coordinate System and Linear Equations in Two Variables 


404  (10) 

7.2 Graphing Linear Equations 


414  (12) 


426  (7) 

7.4 SlopeIntercept and PointSlope Forms of a Linear Equation 


433  (14) 

7.5 Graphing Linear Inequalities 


447  (3) 


450  (11) 


461  (1) 


462  (2) 


464  (1) 


465  (2) 

8) Systems of Linear Equations 


467  (48) 

8.1 Solving Systems of Equations Graphically 


468  (11) 

8.2 Solving Systems of Equations by Substitution 


479  (6) 

8.3 Solving Systems of Equations by the Addition Method 


485  (8) 

8.4 Systems of Equations: Applications and Problem Solving 


493  (14) 

8.5 Solving Systems of Linear Inequalities 


507  (3) 


510  (1) 


511  (1) 


512  (1) 


513  (2) 


515  (56) 

9.1 Evaluating Square Roots 


516  (7) 

9.2 Multiplying and Simplifying Square Roots 


523  (7) 

9.3 Dividing and Simplifying Square Roots 


530  (5) 

9.4 Adding and Subtracting Square Roots 


535  (9) 

9.5 Solving Radical Equations 


544  (6) 

9.6 Radicals: Applications and Problem Solving 


550  (9) 

9.7 Higher Roots and Rational Exponents 


559  (7) 


566  (1) 


566  (3) 


569  (1) 


569  (2) 


571  (36) 

10.1 The Square Root Property 


572  (5) 

10.2 Solving Quadratic Equations by Completing the Square 


577  (7) 

10.3 Solving Quadratic Equations by the Quadratic Formula 


584  (10) 

10.4 Graphing Quadratic Equations 


594  (9) 


603  (1) 


604  (1) 


605  (1) 


606  (1) 
Appendices 

607  
A Review of Decimals and Percents 

607  (3) 
B Finding the Greatest Common Factor and Least Common Denominator 

610  (2) 
C Geometry 

612  
Answers 

A1  
Index 

I1  
Photo Credits 

P1  