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Preface 1. Introduction to Algebraic Expressions 2. Equations, Inequalities, and Problem Solving 3. Introduction to Graphing and Functions 4. Systems of Equations in Two Variables 5. Polynomials 6. Polynomial Factorizations and Equations 7. Rational Expressions, Equations, and Functions 8. Inequalities 9. More on Systems 10. Exponents and Radical Functions 11. Quadratic Functions and Equations 12. Exponential Functions and Logarithmic Functions 13. Conic Sections 14. Sequences, Series, and the Binomial Theorem R. Elementary Algebra Review Answers Table of Contents
1.1 Introduction to Algebra Models
1.2 The Commutative, Associative, and Distributive Laws
1.3 Fraction Notation
1.4 Positive and Negative Real Numbers
Mid-Chapter Review
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponential Notation and Order of Operations
2.1 Solving Equations
2.2 Using the Principles Together
2.3 Formulas
Mid-Chapter Review
2.4 Applications with Percent
2.5 Problem Solving
2.6 Solving Inequalities
2.7 Solving Applications with Inequalities
3.1 Reading Graphs, Plotting Points, and Scaling Graphs
3.2 Graphing Equations
3.3 Linear Equations and Intercepts
3.4 Rates
3.5 Slope
Mid-Chapter Review
3.6 Slope-Intercept Form
3.7 Point-Slope Form; Introduction to Curve
3.8 Functions
4.1 Systems of Equations and Graphing
Solutions of Systems
4.2 Systems of Equations and Substitution
4.3 Systems of Equations and Elimination
Mid-Chapter Review
4.4 More Applications Using Systems
4.5 Solving Equations by Graphing
5.1 Exponents and Their Properties
5.2 Negative Exponents and Scientific Notation
5.3 Polynomials and Polynomial Functions
5.4 Addition and Subtraction of Polynomials
5.5 Multiplication of Polynomials
5.6 Special Products
Mid-Chapter Review
5.7 Polynomials in Several Variables
5.8 Division of Polynomials
5.9 The Algebra of Functions
6.1 Introduction to Polynomial Factorizations and Equations
6.2 Trinomials of the Type x2 + bx + c
6.3 Trinomials of the Type ax2 + bx + c
Mid-Chapter Review
6.4 Perfect-Square Trinomials and Differences of Squares
6.5 Sums or Differences of Cubes
6.6 Factoring: A General Strategy
6.7 Applications of Polynomial Equations
Cumulative Review: Chapters 1-6
7.1 Rational Expressions and Functions
7.2 Multiplication and Division
7.3 Addition, Subtraction, and Least Common Denominators
7.4 Addition and Subtraction with Unlike Denominators
Mid-Chapter Review
7.5 Complex Rational Expressions
7.6 Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 Formulas, Applications, and Variation
8.1 Graphical Solutions and Compound Inequalities
8.2 Absolute-Value Equations and Inequalities
Mid-Chapter Review
8.3 Inequalities in Two Variables
8.4 Polynomial Inequalities and Rational Inequalities
9.1 Systems of Equations in Three Variables
9.2 Solving Applications: Systems of Three Equations
9.3 Elimination Using Matrices
Mid-Chapter Review
9.4 Determinants and Cramer's Rule
9.5 Business and Economics Applications
Cumulative Review: Chapters 1-9
10.1 Radical Expressions, Functions, and Models
10.2 Rational Numbers as Exponents
10.3 Multiplying Radical Expressions
10.4 Dividing Radical Expressions
10.5 Expressions Containing Several Radical Terms
Mid-Chapter Review
10.6 Solving Radical Equations
10.7 The Distance Formula, the Midpoint Formula, and Other Applications
10.8 The Complex Numbers
11.1 Quadratic Equations
11.2 The Quadratic Formula
11.3 Studying Solutions of Quadratic Equations
11.4 Applications Involving Quadratic Equations
11.5 Equations Reducible to Quadratic
Mid-Chapter Review
11.6 Quadratic Functions and Their Graphs
11.7 More About Graphing Quadratic Functions
11.8 Problem Solving and Quadratic Functions
12.1 Composite Functions and Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithmic Functions
Mid-Chapter Review
12.5 Natural Logarithms and Changing Bases
12.6 Solving Exponential and Logarithmic Equations
12.7 Applications of Exponential and Logarithmic Functions
Cumulative Review Chapters 1-12
13.1 Conic Sections: Parabolas and Circles
13.2 Conic Sections: Ellipses
13.3 Conic Sections: Hyperbolas
Mid-Chapter Review
13.4 Nonlinear Systems of Equations
14.1 Sequences and Series
14.2 Arithmetic Sequences and Series
14.3 Geometric Sequences and Series
Mid-Chapter Review
14.4 The Binomial Theorem
Cumulative Review: Chapters 1-14
R.1 Introduction to Algebraic Expressions
R.2 Equations, Inequalities, and Problem Solving
R.3 Introduction to Graphing and Functions
R.4 Systems of Equations in Two Variables
R.5 Polynomials
R.6 Polynomial Factorizations and Equations
Glossary
Photo Credits
Index
Index of Applications
Get Elementary and Intermediate Algebra: Graphs and Models, 4th Edition by Marvin L. Bittinger, Indiana University Purdue University Indianapolis David J. Ellenbogen, Community College of Vermont Barbara L. Johnson, Ivy Tech Community College of Indiana
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