Video Workbook with Integrated Review for Introductory & Intermediate Algebra

List of contents

Table of Contents

• R. Prealgebra Review
• R.1 Fractions
• R.2 Decimals and Percents
• Study Skills Using Your Math Text

1. The Real Number System
   • 1.1 Exponents, Order of Operations, and Inequality
     • Study Skills Taking Lecture Notes
   • 1.2 Variables, Expressions, and Equations
     • Study Skills Reading Your Math Text
   • 1.3 Real Numbers and the Number Line
     • Study Skills Using Study Cards
   • 1.4 Adding Real Numbers
   • 1.5 Subtracting Real Numbers
     • Study Skills Completing Your Homework
   • 1.6 Multiplying and Dividing Real Numbers
     • Summary Exercises Performing Operations with Real Numbers
   • 1.7 Properties of Real Numbers
   • 1.8 Simplifying Expressions
     • Study Skills Reviewing a Chapter
2. Equations, Inequalities, and Applications
   • 2.1 The Addition Property of Equality
     • Study Skills Managing Your Time
   • 2.2 The Multiplication Property of Equality
   • 2.3 More on Solving Linear Equations
     • Study Skills Using Study Cards Revisited
     • Summary Exercises Applying Methods for Solving Linear Equations
   • 2.4 An Introduction to Applications of Linear Equations
   • 2.5 Formulas and Additional Applications from Geometry
   • 2.6 Ratio, Proportion, and Percent
     • Summary Exercises Applying Problem-Solving Techniques
   • 2.7 Solving Linear Inequalities
     • Study Skills Taking Math Tests
3. Graphs of Linear Equations and Inequalities in Two Variables
   • 3.1 Linear Equations and Rectangular Coordinates
     • Study Skills Analyzing Your Test Results
   • 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
     • Summary Exercises Applying Graphing and
     • Equation-Writing Techniques for Lines
     • Study Skills Preparing for Your Math Final Exam
   • 3.6 Graphing Linear Inequalities in Two Variables
4. Systems of Linear Equations and Inequalities
   • 4.1 Solving Systems of Linear Equations by Graphing
   • 4.2 Solving Systems of Linear Equations by Substitution
   • 4.3 Solving Systems of Linear Equations by Elimination
     • Summary Exercises Applying Techniques for Solving Systems of Linear Equations
   • 4.4 Applications of Linear Systems
   • 4.5 Solving Systems of Linear Inequalities
5. Exponents and Polynomials
   • 5.1 The Product Rule and Power Rules for Exponents
   • 5.2 Integer Exponents and the Quotient Rule
     • Summary Exercises Applying the Rules for Exponents
   • 5.3 An Application of Exponents: Scientific Notation
   • 5.4 Adding and Subtracting Polynomials
   • 5.5 Multiplying Polynomials
   • 5.6 Special Products
   • 5.7 Dividing a Polynomial by a Monomial
   • 5.8 Dividing a Polynomial by a Polynomial
6. Factoring and Applications
   • 6.1 Greatest Common Factors; Factor by Grouping
   • 6.2 Factoring Trinomials
   • 6.3 Factoring Trinomials by Grouping
   • 6.4 Factoring Trinomials Using the FOIL Method
   • 6.5 Special Factoring Techniques
   • 6.6 A General Approach to Factoring
   • 6.7 Solving Quadratic Equations Using the Zero-Factor Property
   • 6.8 Applications of Quadratic Equations
7. Rational Expressions and Applications
   • 7.1 The Fundamental Property of Rational Expressions
   • 7.2 Multiplying and Dividing Rational Expressions
   • 7.3 Least Common Denominators
   • 7.4 Adding and Subtracting Rational Expressions
   • 7.5 Complex Fractions
   • 7.6 Solving Equations with Rational Expressions
     • Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations
   • 7.7 Applications of Rational Expressions
   • 7.8 Variation
8. Equations, Inequalities, Graphs, and Systems Revisited
   • 8.1 Review of Solving Linear Equations and Inequalities in one Variable
   • 8.2 Set Operations and Compound Inequalities
   • 8.3 Absolute Value Equations and Inequalities
     • Summary Exercises Solving Linear and Absolute Value Equations and Inequalities
   • 8.4 Review of Graphing Linear Equations in Two Variables; Slope
   • 8.6 Systems of Linear Equations in Three Variables; Applications
9. Relations and Functions
   • 9.1 Introduction to Relations and Functions
   • 9.2 Function Notation and Linear Functions
   • 9.3 Polynomial Functions, Operations, and Graphs
   • 9.4 Variation
10. Roots, Radicals, and Root Functions
    • 10.1 Radical Expressions and Graphs
    • 10.2 Rational Exponents
    • 10.3 Simplifying Radical Expressions
    • 10.4 Adding and Subtracting Radical Expressions
    • 10.5 Multiplying and Dividing Radical Expressions
      • Summary Exercises Performing Operations with Radicals and Rational Exponents
    • 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 Equations Quadratic in Form
      • Summary Exercises Applying Methods for Solving Quadratic Equations
    • 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 Composition of Functions
    • 12.2 Inverse Functions
    • 12.3 Exponential Functions
    • 12.4 Logarithmic Functions
    • 12.5 Properties of Logarithms
    • 12.6 Common and Natural Logarithms
    • 12.7 Exponential and Logarithmic Equations and Their Applications
13. Nonlinear Functions, Conic Sections, and Nonlinear Systems
    • 13.1 Additional Graphs of Functions
    • 13.2 Circles and Ellipses
    • 13.3 Hyperbolas and Functions Defined by Radicals
    • 13.4 Nonlinear Systems of Equations
    • 13.5 Second-Degree Inequalities and Systems of Inequalities

Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra)

Appendix B: Synthetic Division

Appendix C: Solving Systems of Linear Equations by Matrix Methods

Answers to Selected Exercises

Index

About the author

Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.
A native Midwesterner, Terry McGinnis received her Bachelor's of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.

Product details

• Authors: John Hornsby, Margaret Lial, Margaret L. Lial, Terry McGinnis
• Publisher: Pearson Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2019
• EAN: 9780134775500
• ISBN: 978-0-13-477550-0
• No. of pages: 888
• Dimensions: 216 mm x 274 mm x 51 mm
• Weight: 1578 g
• Series: Pearson
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra