Conversion Guide:

Elementary and Intermediate Algebra:

Graphs and Models

2nd Edition

Bittinger / Ellenbogen / Johnson

to

Elementary and Intermediate Algebra

2nd Edition

Carson / Gillespie / Jordan

Bittinger / Carson
Ch 1: Introduction to Algebraic Expressions / Ch 1: Foundations of Algebra
1.1 Introduction to Algebra / 1.1 Number Sets and the Structure of Algebra
1.2 The Commutative, Associative, and Distributive Laws / see 1.3
1.3 Fraction Notation / 1.2 Fractions
1.4 Positive and Negative Real Numbers / 1.3 Adding and Subtracting Real Numbers; Properties of Real Numbers
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers / 1.4 Multiplying and Dividing Real Numbers; Properties of Real Numbers
1.8 Exponential Notation and Order of Operations / 1.5 Exponents, Roots, and Order of Operations
1.6 Translating Word Phrases into Expressions
1.7 Evaluating and Rewriting Expressions
Ch 2: Equations, Inequalities, and Problem Solving / Ch 2: Solving Linear Equations and Inequalities
2.1 Solving Equations / 2.1 Equations, Formulas, and the Problem-Solving Process
2.2 The Addition Principle
2.3 The Multiplication Principle
2.2 Using the Principles Together / 2.4 Applying the Principles to Formulas
2.3 Formulas
2.4 Applications with Percent / see 3.2
2.5 Problem Solving / 2.5 Translating Word Sentences into Equations
2.6 Solving Inequalities / 2.6 Solving Linear Inequalities
2.7 Solving Applications with Inequalities
Ch 3: Introduction to Graphing and Functions
3.1 Reading Graphs, Plotting Points, and Estimating Values / see 4.1
3.2 Graphing Equations / see 4.2
3.3 Solving Equations by Graphing
3.4 Introduction to Functions / see 4.7
3.5 Domain and Range / see 4.7
3.6 The Algebra of Functions / see 4.7
Ch 3: Problem Solving
see 7.7 / 3.1 Ratios and Proportions
see 2.4 / 3.2 Percents
3.3 Problems with Two or More Unknowns
see 4.2 / 3.4 Rates
3.5 Investment and Mixture
Ch 4: Linear Equations, Inequalities, and Graphs / Ch 4: Graphing Linear Equations and Inequalities
see 3.1 / 4.1 The Rectangular Coordinate System
see 3.2 / 4.2 Graphing Linear Equations
see 3.2 / 4.3 Graphing Using Intercepts
4.1 Linear Equations and Intercepts
4.2 Rates and Models / see 3.4
4.3 Slope / 4.4 Slope-Intercept Form
4.4 Slope-Intercept Form
4.5 Intruction to Curve Fitting: Point-Slope Form / 4.5 Point-Slope Form
4.6 Intersections, Unions, and Compound Inequalities / 4.6 Graphing Linear Inequalities
4.7 Absolute-Value Equations and Inequalities / see 8.2 and 8.3
see 3.4, 3.5, & 3.6 / 4.7 Introduction to Functions and Function Notation
Ch 5: Polynomials / Ch 5: Polynomials
5.1 Exponents and Their Properties / 5.1 Exponents and Scientific Notation
5.2 Polynomials / 5.2 Introduction to Polynomials
5.3 Addition and Subtraction of Polynomials / 5.3 Adding and Subtracting Polynomials
see 5.1 / 5.4 Exponent Rules and Muliplying Monomials
5.4 Muliplication of Polynomials / 5.5 Muliplying Polynomials: Special Products
5.5 Special Products
5.6 Polynomials in Several Variables
5.7 Division of Polynomials / 5.6 Exponent Rules and Dividing Polynomials
5.8 Negative Exponents and Scientific Notation / see 5.1
Ch 6: Polynomials and Factoring / Ch 6: Factoring
6.1 Introduction to Polynomial Factorizations and Equations / 6.1 Greatest Common Factor and Factoring by Group
6.2 Trinomials of the Type x2 + bx2 + c / 6.2 Factoring Trinomials of the form x2 + bx2 + c
6.3 Trinomials of the Type ax2 + bx2 + c, a ≠ 1 / 6.3 Factoring Trinomials of the form ax2 + bx2 + c, where a ≠ 1
6.4 Perfect-Square Trinomials and the Differences of Squares / 6.4 Factoring Special Products
6.5 Sums of Differences of Cubes
6.6 Factoring: A General Strategy / 6.5 Strategies for Factoring
6.7 Applications of Polynomial Equations
6.6 Solving Quadratic Equations by Factoring
6.7 Graphs of Quadratic Equations and Functions
Ch 7: Rational Expressions, Equations, and Functions / Ch 7: Rational Expressions and Equations
7.1 Rational Expressions and Functions / 7.1 Simplfying Rational Expressions
7.2 Muliplication and Division / 7.2 Multiplying and Dividing Rational Expressions
7.3 Addition, Subtraction, and Least Common Denominators / 7.3 Adding and Subtracting Rational Expressions with the Same Denominator
7.4 Addition and Subtraction with Unlike Denominators / 7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Complex Rational Expressions / 7.5 Complex Rational Expressions
7.6 Rational Equations / 7.6 Solving Equations Containing Rational Expressions
7.7 Applications Using Rational Equations and Proportions / 7.7 Applications with Rational Expressions
7.8 Formulas, Applications, and Variation
Ch 8: More on Inequalities, Absolute Value, and Functions
8.1 Compound Inequalities
see 4.7 / 8.2 Equations Involving Absolute Value
8.3 Inequalities Involving Absolute Value
8.4 Functions and Graphing
8.5 Function Operations
Ch 8: Systems of Linear Equation and Problem Solving / Ch 9: Systems of Equations
8.1 Systems of Equations in Two Variables / 9.1 Solving Systems of Linear Equations Graphically
8.2 Solving by Substitution or Elimination / 9.2 Solving Systems of Linear Equations by Substitution
9.3 Solving Systems of Linear Equations by Elimination
8.3 Solving Applications: Systems of Two Equations
8.4 Systems of Equations in Three Variables / 9.4 Solving Systems of Linear Equations in Three Variables
8.5 Solving Applications: Systems of Three Equations
8.6 Elimination Using Matrices / 9.5 Solving Systems of Linear Equations Using Matrices
8.7 Determinants and Cramer's Rule / 9.6 Solving Systems of Linear Equations Using Cramer's Rule
8.8 Business and Economic Applications
8.9 Linear Inequalities in Two Variables / 9.7 Solving Systems of Linear Inequalities
Ch 9: Exponents and Radical Functions / Ch 10: Rational Exponents, Radicals, and Complex Numbers
9.1 Radical Expressions, Functions, and Models / 10.1 Radical Expressions and Functions
9.2 Rational Numbers as Exponents / 10.2 Rational Exponents
9.3 Muliplying Radical Expressions / 10.3 Multiplying, Dividing, and Simplifying Radicals
9.4 Dividing Radical Expressions / 10.4 Adding Subtracting, and Muliplying Radical Expressions
9.5 Expressions Containing Several Radical Terms / 10.5 Rationalizing Numerators and Demoninators of Radical Expressions
9.6 Solving Radical Equations / 10.6 Radical Equations and Problem Solving
9.7 Geometric Applications
9.8 The Complex Numbers / 10.7 Complex Numbers
Ch 10: Quadratic Functions and Equations / Ch 11: Quadratic Equations
10.1 Quadratic Equations / 11.1 Completing the Square
10.2 The Quadratic Formula / 11.2 Solving Quadratic Equations Using the Quadratic Formula
10.3 Applications Involving Quadratic Equations
10.4 Studying Solutions of Quadratic Equations / 11.3 Solving Equations That Are Quadratic in Form
10.5 Equations Reducible to Quadratic
10.6 Quadratic Functions and Their Graphs / 11.4 Graphing Quadratic Functions
10.7 More About Graphing Quadratic Functions
10.8 Problem Solving and Quadratic Functions
10.9 Polynomial and Rational Inequalities / 11.5 Solving Nonlinear Inequalities
Ch 11: Exponential and Logarithmic Functions / Ch 12: Exponential and Logarithmic Functions
11.1 Composite and Inverse Functions / 12.1 Composite and Inverse Functions
11.2 Exponential Functions / 12.2 Exponential Functions
11.3 Logarithmic Functions / 12.3 Logarithmic Functions
11.4 Properties of Logarithmic Functions / 12.4 Properties of Logarithms
11.5 Natural Logarithms and Changing Bases / 12.5 Common and Natural Logarithms
11.6 Solving Exponential and Logarithmic Quations / see the rest of Chapter 12
11.7 Applications of Exponential and Logarithmic Functions / 12.6 Exponential and Logarithmic Equations with Applications
Ch 12: Conic Sections / Ch 13: Conic Sections
12.1 Conic Sections: Parabolas and Circles / 13.1 The Parabola and Circle
12.2 Conic Sections: Ellipses / 13.2 Ellipses and Hyperbolas
12.3 Conic Sections: Hyperbolas
12.4 Nonlinear Systems of Equations / 13.3 Nonlinear Systems of Equations
13.4 Nonlinear Inequalities and Systems of Inequalities
Ch 13: Sequences, Series, and Probability
13.1 Sequences and Series / see appendices A & B
13.2 Arithmetic Sequences and Series / see appendix A
13.3 Geometric Sequences and Series / see appendix B
13.4 The Binomial Theorem / see appendix C
13.5 Probability / see appendices D & E
Ch R: Elementary Algebra Review / Ch R: Elementary Algebra Review
R.1 Introduction to Algebraic Expressions / R.1 Review of Expressions
R.2 Equations, Inequalities, and Problem Solving / R.2 Review of Solving Linear Equations
R.3 Introduction to Graphing and Functions / R.3 Review of Graphing Linear Equations
R.4 Linear Equations, Inequalities, and Graphs
R.5 Polynomials / R.4 Review of Polynomials
R.6 Polynomials and Factoring / R.5 Review of Factoring

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