Beginning & Intermediate Algebra and College Algebra: A Corequisite Solution, 1st edition

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: Brief 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

R-12: Chapters from Beginning & Intermediate Algebra 6^th edition

CA-R – CA-7: Chapters from College Algebra, 12^th Edition