  # Elementary & Intermediate Algebra, 4th edition

• Michael Sullivan,
• Katherine R. Struve,
• Janet Mazzarella

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## Overview

Elementary & Intermediate Algebra in the Sullivan Elementary & Intermediate Developmental Math Series introduces you to the logic, and the precision and rigor of mathematics, while building a foundation for your success in future math courses.

ISBN-13: 9780137506101

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

1. Operations on Real Numbers and Algebraic Expressions
• 1.1. Success in Mathematics
• 1.2. Fractions, Decimals, and Percents
• 1.3. The Number Systems and the Real Number Line
• 1.4. Adding, Subtracting, Multiplying, and Dividing Integers
• 1.5. Adding, Subtracting, Multiplying, and Dividing Rational Numbers
• Putting the Concepts Together (Sections 1.2 — 1.5)
• 1.6. Properties of Real Numbers
• 1.7. Exponents and the Order of Operations
• 1.8. Simplifying Algebraic Expressions
• Chapter 1 Activity: The Math Game
• Chapter 1 Review
• Chapter 1 Test
2. Linear Equations and Inequalities in One Variable
• 2.1. Linear Equations: The Addition and Multiplication Properties of Equality
• 2.2. Linear Equations: Using the Properties Together
• 2.3. Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
• 2.4. Evaluating Formulas and Solving Formulas for a Variable
• Putting the Concepts Together (Sections 2.1 — 2.4)
• 2.5. Problem Solving: Direct Translation
• 2.6. Problem Solving: Problems Involving Percent
• 2.7. Problem Solving: Geometry and Uniform Motion
• 2.8. Solving Linear Inequalities in One Variable
• Chapter 2 Activity: Pass to the Right
• Chapter 2 Review
• Chapter 2 Test
• Cumulative Review Chapters 1 — 2
3. Introduction to Graphing and Linear Equations in Two Variables
• 3.1. The Rectangular Coordinate System and Linear Equations in Two Variables
• 3.2. Graphing Linear Equations in Two Variables
• 3.3. Slope
• 3.4. Slope-Intercept Form of a Line
• 3.5. Point-Slope Form of a Line
• 3.6. Parallel and Perpendicular Lines
• Putting the Concepts Together (Sections 3.1 — 3.6)
• 3.7. Linear Inequalities in Two Variables
• Chapter 3 Activity: Graphing Practice
• Chapter 3 Review
• Chapter 3 Test
• Cumulative Review Chapters 1 — 3
4. Systems of Linear Equations and Inequalities
• 4.1. Solving Systems of Linear Equations by Graphing
• 4.2. Solving Systems of Linear Equations Using Substitution
• 4.3. Solving Systems of Linear Equations Using Elimination
• Putting the Concepts Together (Sections 4.1 — 4.3)
• 4.4. Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
• 4.5. Solving Mixture Problems Using Systems of Linear Equations
• 4.6. Systems of Linear Inequalities
• Chapter 4 Activity: Find the Numbers
• Chapter 4 Review
• Chapter 4 Test
• Cumulative Review Chapters 1 — 4
5. Exponents and Polynomials
• 5.1. Adding and Subtracting Polynomials
• 5.2. Multiplying Monomials: The Product and Power Rules
• 5.3. Multiplying Polynomials
• 5.4. Dividing Monomials: The Quotient Rule and Integer Exponents
• Putting the Concepts Together (Sections 5.1 — 5.4)
• 5.5. Dividing Polynomials
• 5.6. Applying the Exponent Rules: Scientific Notation
• Chapter 5 Activity: What Is the Question?
• Chapter 5 Review
• Chapter 5 Test
• Cumulative Review Chapters 1 — 5
6. Factoring Polynomials
• 6.1. Greatest Common Factor and Factoring by Grouping
• 6.2. Factoring Trinomials of the Form x2 + bx + c
• 6.3. Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1
• 6.4. Factoring Special Products
• 6.5. Summary of Factoring Techniques
• Putting the Concepts Together (Sections 6.1 — 6.5)
• 6.6. Solving Polynomial Equations by Factoring
• 6.7. Modeling and Solving Problems with Quadratic Equations
• Chapter 6 Activity: Which One Does Not Belong?
• Chapter 6 Review
• Chapter 6 Test
• Cumulative Review Chapters 1 — 6
• Getting Ready for Intermediate Algebra: A Review of Chapters 1 — 6
7. Rational Expressions and Equations
• 7.1. Simplifying Rational Expressions
• 7.2. Multiplying and Dividing Rational Expressions
• 7.3. Adding and Subtracting Rational Expressions with a Common Denominator
• 7.4. Finding the Least Common Denominator and Forming Equivalent Rational Expressions
• 7.5. Adding and Subtracting Rational Expressions with Unlike Denominators
• 7.6. Complex Rational Expressions
• Putting the Concepts Together (Sections 7.1 — 7.6)
• 7.7. Rational Equations
• 7.8. Models Involving Rational Equations
• Chapter 7 Activity: Correct the Quiz
• Chapter 7 Review
• Chapter 7 Test
• Cumulative Review Chapters 1 — 7
• Getting Ready for Intermediate Algebra: A Review of Chapters 1 — 7
• Getting Ready for Chapter 8: Interval Notation
8. Graphs, Relations, and Functions
• 8.1. Graphs of Equations
• 8.2. Relations
• 8.3. An Introduction to Functions
• 8.4. Functions and Their Graphs
• Putting the Concepts Together (Sections 8.1 — 8.4)
• 8.5. Linear Functions
• 8.6. Compound Inequalities
• 8.7. Absolute Value Equations and Inequalities
• 8.8. Variation
• Chapter 8 Activity: Shifting Discovery
• Chapter 8 Review
• Chapter 8 Test
• Chapters 1 — 8 Cumulative Review
• 9.1. Square Roots
• 9.2. nth Roots and Rational Exponents
• 9.3. Simplify Expressions Using the Laws of Exponents
• Putting the Concepts Together (Sections 9.1 — 9.6)
• 9.8. Radical Equations and Their Applications
• 9.9. The Complex Number System
• Chapter 9 Activity: Which One Does Not Belong?
• Chapter 9 Review
• Chapter 9 Test
• Cumulative Review Chapters 1 — 9
• 10.1. Solving Quadratic Equations by Completing the Square
• 10.3. Solving Equations Quadratic in Form
• Putting the Concepts Together (Sections 10.1 — 10.3)
• 10.4. Graphing Quadratic Functions Using Transformations
• 10.5. Graphing Quadratic Functions Using Properties
• 10.6. Polynomial Inequalities
• 10.7. Rational Inequalities
• Chapter 10 Activity: Presidential Decision Making
• Chapter 10 Review
• Chapter 10 Test
• Cumulative Review Chapters 1 — 10
11. Exponential and Logarithmic Functions
• 11.1. Composite Functions and Inverse Functions
• 11.2. Exponential Functions
• 11.3. Logarithmic Functions
• Putting the Concepts Together (Sections 11. 1 — 11.3)
• 11.4. Properties of Logarithms
• 11.5. Exponential and Logarithmic Equations
• Chapter 11 Activity: Correct the Quiz
• Chapter 11 Review
• Chapter 11 Test
• Cumulative Review Chapters 1 — 11
12. Conics
• 12.1. Distance and Midpoint Formulas
• 12.2. Circles
• 12.3. Parabolas
• 12.4. Ellipses
• 12.5. Hyperbolas
• Putting the Concepts Together (Sections 12.1 — 12.5)
• Nonlinear Systems of Equations
• Chapter 12 Activity: How Do You Know That…?
• Chapter 12 Review
• Chapter 12 Test
• Cumulative Review Chapters 1 — 12
13. Sequences, Series, and the Binomial Theorem
• 13.1. Sequences
• 13.2. Arithmetic Sequences
• 13.3. Geometric Sequences and Series
• 13.4. The Binomial Theorem
• Chapter 13 Activity: Pass to the Right
• Chapter 13 Review
• Chapter 13 Test
• Cumulative Review Chapters 1 — 13

### Appendix E: Transformations

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