# Beginning and Intermediate Algebra with Applications & Visualization,4th edition

• Gary K. Rockswold Minnesota State University, Mankato
• Terry A. Krieger Rochester Community and Technical College
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Beginning and Intermediate Algebra with Applications and Visualization lets you see the concept in context. By making math part of your own experience instead of memorizing techniques, you deepen conceptual understanding and better prepare for future math courses and life.

1. Introduction to Algebra
• 1.1 Numbers, Variables, and Expressions
• 1.2 Fractions
• 1.3 Exponents and Order of Operations
• 1.4 Real Numbers and the Number Line
• 1.5 Addition and Subtraction of Real Numbers
• 1.6 Multiplication and Division of Real Numbers
• 1.7 Properties of Real Numbers
• 1.8 Simplifying and Writing Algebraic Expressions
2. Linear Equations and Inequalities
• 2.1 Introduction to Equations
• 2.2 Linear Equations
• 2.3 Introduction to Problem Solving
• 2.4 Formulas
• 2.5 Unit Analysis
• 2.6 Linear Inequalities
3. Graphing Equations
• 3.1 Introduction to Graphing
• 3.2 Equations in Two Variables
• 3.3 Intercepts; Horizontal and Vertical Lines
• 3.4 Slope and Rates of Change
• 3.5 Slope-Intercept Form
• 3.6 Point-Slope Form
• 3.7 Introduction to Modeling
4. Systems of Linear Equations in Two Variables
• 4.1 Solving Systems of Linear Equations Graphically and Numerically
• 4.2 Solving Systems of Linear Equations by Substitution
• 4.3 Solving Systems of Linear Equations by Elimination
• 4.4 Systems of Linear Inequalities
5. Polynomials and Exponents
• 5.1 Rules for Exponents
• 5.2 Addition and Subtraction of Polynomials
• 5.3 Multiplication of Polynomials
• 5.4 Special Products
• 5.5 Integer Exponents and the Quotient Rule
• 5.6 Division of Polynomials
6. Factoring Polynomials and Solving Equations
• 6.1 Introduction to Factoring
• 6.2 Factoring Trinomials I (x2 + bx + c)
• 6.3 Factoring Trinomials II (ax2 + bx + c)
• 6.4 Special Types of Factoring
• 6.5 Summary of Factoring
• 6.6 Solving Equations by Factoring I (Quadratics)
• 6.7 Solving Equations by Factoring II (Higher Degree)
7. Rational Expressions
• 7.1 Introduction to Rational Expressions
• 7.2 Multiplication and Division of Rational Expressions
• 7.3 Addition and Subtraction with Like Denominators
• 7.4 Addition and Subtraction with Unlike Denominators
• 7.5 Complex Fractions
• 7.6 Rational Equations and Formulas
• 7.7 Proportions and Variation
8. Introduction to Functions
• 8.1 Functions and Their Representations
• 8.2 Linear Functions
• 8.3 Compound Inequalities and Piecewise-Defined Functions
• 8.4 Other Functions and Their Properties
• 8.5 Absolute Value Equations and Inequalities
9. Systems of Linear Equations
• 9.1 Systems of Linear Equations in Three Variables
• 9.2 Matrix Solutions of Linear Systems
• 9.3 Determinants
• 10.1 Radical Expressions and Functions
• 10.2 Rational Exponents
• 10.4 Operations on Radical Expressions
• 10.6 Equations Involving Radical Expressions
• 10.7 Complex Numbers
• 11.1 Quadratic Functions and Their Graphs
• 11.2 Transformations and Translations of Parabolas
• 11.6 Equations in Quadratic Form
12. Exponential and Logarithmic Functions
• 12.1 Composite and Inverse Functions
• 12.2 Exponential Functions
• 12.3 Logarithmic Functions
• 12.4 Properties of Logarithms
• 12.5 Exponential and Logarithmic Equations
13. Conic Sections
• 13.1 Parabolas and Circles
• 13.2 Ellipses and Hyperbolas
• 13.3 Nonlinear Systems of Equations and Inequalities
14. Sequences and Series
• 14.1 Sequences
• 14.2 Arithmetic and Geometric Sequences
• 14.3 Series
• 14.4 The Binomial Theorem

### Appendix D. Synthetic Division

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