Table of Contents 
        
 
 1. Review of Real Numbers   
 
    
1.1 Tips for Success in Mathematics  
      
1.2  Symbols and Sets of Numbers  
      
1.3 Fractions  
      
1.4 Introduction to Variable Expressions and Equations  
      
1.5  Adding Real Numbers  
      
1.6  Subtracting Real Numbers  
      
1.7  Multiplying and Dividing Real Numbers  
      
Integrated Review—Operations on Real Numbers  
      
1.8  Properties of Real Numbers  
  
 
 2. Equations and Problem Solving   
     
2.1  Simplifying Expressions    
      
2.2  The Addition and Multiplication Properties of Equality  
      
2.3  Solving Linear Equations  
      
Integrated Review—Solving Linear Equations  
      
2.4 An Introduction to Problem Solving    
      
2.5  Formulas and Problem Solving  
      
2.6 Further Problem Solving  
      
2.7 Solving Linear Inequalities   
  
 
 3. Graphing    
     
3.1  Reading Graphs and the Rectangular Coordinate System   
      
3.2  Graphing Linear Equations  
      
3.3  Intercepts  
      
3.4  Slope and Rate of Change  
      
Integrated Review—Summary on Slope and Graphing Linear Equations  
      
3.5   The Slope-Intercept Form  
      
3.6 The Point Slope Form  
      
3.7 Functions  
  
 
 4. Systems of Linear Equations   
     
4.1 Solving Systems of Linear Equations by Graphing  
      
4.2 Solving Systems of Linear Equations by Substitution  
      
4.3 Solving Systems of Linear Equations by Addition  
      
4.4 Solving Systems of Linear Equations in Three Variables  
      
Integrated Review—Systems of Equations  
      
4.5 Systems of Linear Equations and Problem Solving  
  
 
 5. Exponents and Polynomials   
     
5.1  Exponents  
      
5.2  Polynomial Functions and Adding and Subtracting Polynomials  
      
5.3  Multiplying Polynomials   
      
5.4  Special Products  
      
Integrated Review—Exponents and Operations on Polynomials  
      
5.5  Negative Exponents and Scientific Notation   
      
5.6  Dividing Polynomials  
      
5.7  Synthetic Division and the Remainder Theorem  
  
 
 6. Factoring Polynomials   
     
6.1  The Greatest Common Factor and Factoring by Grouping  
      
6.2  Factoring Trinomials of the Form  x2 + bx + c  
      
6.3  Factoring Trinomials of the Form  ax2 + bx + c  
      
6.4  Factoring Binomials  
      
Integrated Review—Choosing a Factoring Strategy  
      
6.5  Solving Quadratic Equations by Factoring  
      
6.6  Quadratic Equations and Problem Solving  
  
 
 7.  Rational Expressions   
     
7.1  Rational Functions and Simplifying Rational Expressions  
      
7.2  Multiplying and Dividing Rational Expressions  
      
7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator  
      
7.4  Adding and Subtracting Rational Expressions with Unlike  Denominators  
      
7.5  Solving Equations Containing Rational Expressions  
      
Integrated Review—Summary on Rational Expressions  
      
7.6 Proportion and Problem Solving with Rational Equations  
      
7.7  Simplifying Complex Fractions  
  
 
 8. Functions and Graphs   
     
8.1  Graphing and Writing Linear Functions  
      
8.2  Graphing Nonlinear Functions   
      
Integrated Review—Summary on Functions  
      
8.3  The Algebra of Functions; Composite Functions  
      
8.4  Variation and Problem Solving   
  
 
 9.  Inequalities and Absolute Value   
     
9.1  Compound Inequalities  
      
9.2 Absolute Value Equations  
      
9.3  Absolute Value Inequalities   
      
Integrated Review—Solving Equations and Inequalities   
      
9.4  Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities      
  
 
 10. Radicals, Rational Exponents, and Complex Numbers   
     
10.1  Radicals and Radical Functions  
      
10.2  Rational Exponents  
      
10.3 Simplifying Radical Expressions  
      
10.4 Adding and Subtracting and Multiplying Radical Expressions  
      
10.5 Rationalizing Denominators and Numerators of Radical Expressions  
      
Integrated Review— Radicals and Rational Exponents    
      
10.6 Radical Equations and Problem Solving  
      
10.7 Complex Numbers  
  
 
 11. Quadratic Equations and Functions   
     
11.1 Solving Quadratic Equations by Completing the Square  
      
11.2 Solving Quadratic Equations by the Quadratic Formula  
      
11.3 Solving Equations by Using Quadratic Methods  
      
Integrated Review—Summary on Solving Quadratic Equations   
      
11.4 Nonlinear Inequalities in One Variable  
      
11.5 Quadratic Functions and Their Graphs   
      
11.6 Further Graphing of Quadratic Functions  
  
 
 12. Exponential and Logarithmic Functions   
     
12.1 Inverse Functions 
      
12.2  Exponential Functions  
      
12.3  Logarithmic Functions  
      
12.4  Properties of Logarithms  
      
Integrated Review—Functions and Properties of Logarithms    
      
12.5  Common Logarithms, Natural Logarithms, and Change of Base  
      
12.6  Exponential and Logarithmic Equations and Applications           
  
 
 13. Conic Sections   
     
13.1 The Parabola and the Circle  
      
13.2 The Ellipse and the Hyperbola  
      
Integrated Review—Graphing Conic Sections  
      
13.3 Solving Nonlinear Systems of Equations  
      
13.4 Nonlinear Inequalities and Systems of Inequalities  
  
 
 14. Sequences, Series, and the Binomial Theorem   
     
14.1 Sequences  
      
14.2 Arithmetic and Geometric Sequences  
      
14.3 Series  
      
Integrated Review—Sequences and Series  
      
14.4 Partial Sums of Arithmetic and Geometric Sequences  
      
14.5 The Binomial Theorem  
  
 
 APPENDICES 
     
A.  Solving Equations and Inequalities - Study Skills Practice 
      
B.  Operations on Decimals 
      
C.  Review of Algebra Topics 
          
C.1  Equations
                        
C.2  Problem Solving
                        
C.3  Graphing
                        
C.4  Polynomials and Factoring
                        
C.5  Rational Expressions
                  
D.  An Introduction to Using a Graphing Utility 
      
E.  Solving Systems of Equations by Matrices  
      
F.  Solving Systems of Equations by Determinants
      
G.  Mean, Median, and Mode
      
H.  Review of Angles, Lines, and Special Triangles
 
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