Note: The MyLab Math course contains the full contents noted below. The printed text for Beginning & Intermediate Algebra 6/e includes Chapter R through 12, and the printed text for College Algebra 12/e contains Chapter CA-R through CA-7, noted below.
Table of Contents: BriefÂ
R. Prealgebra Review
1. The Real Number System
2. Linear Equations and Inequalities in One Variable
3. Linear Equations and Inequalities in Two Variables
4. Exponents and Polynomials
5. Factoring and Applications
6. Rational Expressions and Applications
7. Graphs, Linear Equations, and Systems
8. Inequalities and Absolute Value
9. Relations and Functions
10. Roots, Radicals, and Root Functions
11. Quadratic Equations, Inequalities, and Functions
12. Inverse, Exponential, and Logarithmic Functions
CA-R. Review of Basic Concepts
CA-1. Equations and Inequalities
CA-2. Graphs and Functions
CA-3. Polynomial and Rational Functions
CA-4. Inverse, Exponential, and Logarithmic Functions
CA-5. Systems and Matrices
CA-6. Analytic Geometry
CA-7. Further Topics in Algebra
Table of Contents: Detailed
R. Prealgebra Review
R.1 Fractions
R.2 Decimals and Percents
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1. The Real Number System
1.1 Exponents, Order of Operations, and Inequality
1.2. Variables, Expressions, and Equations
1.3 Real Numbers and the Number Line
1.4 Adding and Subtracting Real Numbers
1.5 Multiplying and Dividing Real Numbers
1.6 Properties of Real Numbers
1.7 Simplifying Expressions
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2. Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 More on Solving Linear Equations
2.4 Applications of Linear Equations
2.5 Formulas and Additional Applications from Geometry
2.6 Ratio, Proportion, and Percent
2.7 Further Applications of Linear Equations
2.8 Solving Linear Inequalities
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3. Linear Equations and Inequalities in Two Variables
3.1 Linear Equations and Rectangular Coordinates
3.2 Graphing Linear Equations in Two Variables
3.3 The Slope of a Line
3.4 Slope-Intercept Form of a Linear Equation
3.5 Point-Slope Form of a Linear Equation and Modeling
4. Exponents and Polynomials
4.1 The Product Rule and Power Rules for Exponents
4.2 Integer Exponents and the Quotient Rule
4.3 Scientific Notation
4.4 Adding, Subtracting, and Graphing Polynomials
4.5 Multiplying Polynomials
4.6 Special Products
4.7 Dividing Polynomials
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5. Factoring and Applications
5.1 The Greatest Common Factor; Factoring by Grouping
5.2 Factoring Trinomials
5.3 More on Factoring Trinomials
5.4 Special Factoring Techniques
5.5 Solving Quadratic Equations Using the Zero-Factor Property
5.6 Applications of Quadratic Equations
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6. Rational Expressions and Applications
6.1 The Fundamental Property of Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Least Common Denominators
6.4 Adding and Subtracting Rational Expressions
6.5 Complex Fractions
6.6 Solving Equations with Rational Expressions
6.7 Applications of Rational Expressions
7. Graphs, Linear Equations, and Systems
7.1 Review of Graphs and Slopes of Lines
7.2 Review of Equations of Lines; Linear Models
7.3 Solving Systems of Linear Equations by Graphing
7.4 Solving Systems of Linear Equations by Substitution
7.5 Solving Systems of Linear Equations by Elimination
7.6 Systems of Linear Equations in Three Variables
7.7 Applications of Systems of Linear Equations
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8. Inequalities and Absolute Value
8.1 Review of Linear Inequalities in One Variable
8.2 Set Operations and Compound Inequalities
8.3 Absolute Value Equations and Inequalities
8.4 Linear Inequalities and Systems in Two Variables
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9. Relations and Functions
9.1 Introduction to Relations and Functions
9.2 Function Notation and Linear Functions
9.3 Polynomial Functions, Operations, and Composition
9.4 Variation
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10. Roots, Radicals, and Root Functions
10.1 Radical Expressions and Graphs
10.2 Rational Exponents
10.3 Simplifying Radicals, the Distance Formula, and Circles
10.4 Adding and Subtracting Radical Expressions
10.5 Multiplying and Dividing Radical Expressions
10.6 Solving Equations with Radicals
10.7 Complex Numbers
11. Quadratic Equations, Inequalities, and Functions
11.1 Solving Quadratic Equations by the Square Root Property
11.2 Solving Quadratic Equations by Completing the Square
11.3 Solving Quadratic Equations by the Quadratic Formula
11.4 Solving Equations Quadratic in Form
11.5 Formulas and Further Applications
11.6 Graphs of Quadratic Functions
11.7 More about Parabolas and Their Applications
11.8 Polynomial and Rational Inequalities
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12. Inverse, Exponential, and Logarithmic Functions
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithms
12.5 Common and Natural Logarithms
12.6 Exponential and Logarithmic Equations; Further Applications
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CA-R. Review of Basic Concepts
R.1 Sets
R.2 Real Numbers and Their Properties
R.3 Polynomials
R.4 Factoring Polynomials
R.5 Rational Expressions
R.6 Rational Exponents
R.7 Radical Expressions
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CA-1. Equations and Inequalities
1.1 Linear Equations
1.2. Applications and Modeling with Linear Equations
1.3 Complex Numbers
1.4 Quadratic Equations
1.5 Applications and Modeling with Quadratic Equations
1.6 Other Types of Equations and Applications
1.7 Inequalities
1.8 Absolute Value Equations and Inequalities
CA-2. Graphs and Functions
2.1 Rectangular Coordinates and Graphs
2.2 Circles
2.3 Functions
2.4 Linear Functions
2.5 Equations of Lines and Linear Models
2.6 Graphs of Basic Functions
2.7 Graphing Techniques
2.8 Function Operations and Composition
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CA-3. Polynomial and Rational Functions
3.1 Quadratic Functions and Models
3.2 Synthetic Division
3.3 Zeros of Polynomial Functions
3.4 Polynomial Functions: Graphs, Applications, and Models
3.5 Rational Functions: Graphs, Applications, and Models
3.6 Variation
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CA-4. Inverse, Exponential, and Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions
4.3 Logarithmic Functions
4.4 Evaluating Logarithms and the Change-of-Base Theorem
4.5 Exponential and Logarithmic Equations
4.6 Applications and Models of Exponential Growth and Decay
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CA-5. Systems and Matrices
5.1 Systems of Linear Equations
5.2 Matrix Solution of Linear Systems
5.3 Determinant Solution of Linear Systems
5.4 Partial Fractions
5.5 Nonlinear Systems of Equations
5.6 Systems of Inequalities and Linear Programming
5.7 Properties of Matrices
5.8 Matrix Inverses
 CA-6. Analytic Geometry
6.1 Parabolas
6.2 Ellipses
6.3 Hyperbolas
6.4 Summary of the Conic Sections
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CA-7. Further Topics in Algebra
7.1 Sequences and Series
7.2 Arithmetic Sequences and Series
7.3 Geometric Sequences and Series
7.4 The Binomial Theorem
7.5 Mathematical Induction
7.6 Counting Theory
7.7 Basics of Probability
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R-12: Chapters from Beginning & Intermediate Algebra 6th edition
CA-R – CA-7: Chapters from College Algebra, 12th Edition
