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Intermediate Algebra with Integrated Review and worksheets plus NEW MyLab Math with Pearson eText, Access Card Package, 12th edition

  • Margaret L. Lial
  • John Hornsby
  • Terry McGinnis

Published by Pearson (November 25th 2015) - Copyright © 2016

12th edition

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Overview

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This new MyMathLab-based course option from Lial/Hornsby/McGinnis offers a complete intermediate algebra course with embedded review of prerequisite topics from previous courses. The Integrated Review MyMathLab course model can be used to bring underprepared students up to speed, helping to address the challenge of varying skill levels with one seamless MyMathLab course.

 

Integrated Review MyMathLab courses provide the full suite of supporting resources for the main course content, plus additional assignments and study aids for students who will benefit from remediation. Assignments for the integrated review content are preassigned in MyMathLab, making it easier than ever to create your course!

 

 

About Lial/Hornsby/McGinnis’s Intermediate Algebra:

Is there anything more beautiful than an “A” in Algebra? Not to the Lial team! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying resources with one goal in mind: giving students and teachers all the tools they need to achieve success.

 

With this revision of the Lial Developmental Algebra Series, the team has further refined the presentation and exercises throughout the text. They offer several exciting new resources for students and teachers that will provide extra help when needed, regardless of the learning environment (traditional, lab-based, hybrid, online)—new study skills activities in the text, an updated and expanded Lial Video Library (available in MyMathLab), and a new accompanying Lial Video Library Workbook (available in MyMathLab).

 

 

0134275187 / 9780134275185           Intermediate Algebra with Integrated Review and worksheets plus NEW MyMathLab with Pearson eText, Access Card Package

Package consists of:

013428092X / 9780134280929           Worksheets for Integrated Review for Intermediate Algebra with Integrated Review

0321431308 / 9780321431301           MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069           MyMathLab Inside Star Sticker

0321969359 / 9780321969354           Intermediate Algebra

 

Table of contents

Note that the topics listed within each chapter below are objectives available in MyMathLab only, not in the textbook. For each of these objectives, there is just-in-time remediation in the form of videos, worksheets, practice, and assessment in the Integrated Review MyMathLab course only.


Review of the Real Number System

R.1 Basic Concepts

R.2 Operations on Real Numbers

R.3 Exponents, Roots, and Order of Operations

R.4 Properties

            Chapter R Summary

            Chapter R Test

 

1. Linear Equations, Inequalities, and Applications

  • Use the distributive property
  • Solve applies problems involving algebraic expressions
  • Using the rules for order of operations
  • Know the meanings of inequality symbols
  • Solve applied problems involving inequalities
  • Classify numbers and graph them on number lines
  • Find the additive inverse of a real number
  • Find the absolute value of a real number
  • Interpret meaning of real numbers from a table of data

1.1 Linear Equations in One Variable

1.2 Formulas and Percent

1.3 Applications of Linear Equations

1.4 Further Applications of Linear Equations

1.5 Linear Inequalities in One Variable

1.6 Set Operations and Compound Inequalities

1.7 Absolute Value Equations and Inequalities

            Chapter 1 Summary

            Chapter 1 Review Exercises

            Chapter 1 Mixed Review Exercises

            Chapter 1 Test

 

2. Linear Equations, Graphs, and Functions

  • Decide whether a given ordered pair is a solution of a given equation
  • Complete ordered pairs for a given equation

2.1 Linear Equations in Two Variables

2.2 The Slope of a Line

2.3 Writing Equations of Lines

2.4 Linear Inequalities in Two Variables

2.5 Introduction to Relations Functions

2.6 Function Notation and Linear Functions

            Chapter 2 Summary

            Chapter 2 Review Exercises

            Chapter 2 Mixed Review Exercises

            Chapter 2 Test

            Chapters R--2 Cumulative Review Exercises

 

3. Systems of Linear Equations

  • Evaluate algebraic expressions, given values for the variables

3.1 Systems of Linear Equations in Two Variables

3.2 Systems of Linear Equations in Three Variables

3.3 Applications of Systems of Linear Equations

            Chapter 3 Summary

            Chapter 3 Review Exercises

            Chapter 3 Mixed Review Exercises

            Chapter 3 Test

            Chapters R--3 Cumulative Review Exercises

 

4. Exponents, Polynomials, and Polynomial Functions

  • Use exponents

4.1 Integer Exponents and Scientific Notation

4.2 Adding and Subtracting Polynomials

4.3 Polynomial Functions, Graphs, and Composition

4.4 Multiplying Polynomials

4.5 Dividing Polynomials

            Chapter 4 Summary

            Chapter 4 Review Exercises

            Chapter 4 Mixed Review Exercises

            Chapter 4 Test

            Chapters R--4 Cumulative Review Exercises

 

5. Factoring

  • Multiply any two polynomials
  • Multiply binomials

5.1 Greatest Common Factors and Factoring by Grouping

5.2 Factoring Trinomials

5.3 Special Factoring

5.4 A General Approach to Factoring

5.5 Solving Equations by the Zero-Factor Property

            Chapter 5 Summary

            Chapter 5 Review Exercises

            Chapter 5 Mixed Review exercises

            Chapter 5 Test

            Chapters R--5 Cumulative Review Exercises

 

6. Rational Expressions and Functions

  • Write a fraction in lowest terms using a common factor
  • Multiply signed fractions
  • Divide signed fractions
  • Add and subtract unlike fractions
  • Rewrite mixed numbers as improper fractions, or the reverse
  • Solve application problems containing mixed numbers

6.1 Rational Expressions and Functions; Multiplying and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Fractions

6.4 Equations with Rational Expressions and Graphs

6.5 Applications of Rational Expressions

6.6 Variation

            Chapter 6 Summary

            Chapter 6 Review Exercises

            Chapter 6 Mixed Review Exercises

            Chapter 6 Test

            Chapters R--6 Cumulative Review Exercises

 

7. Roots, Radicals, and Root Functions

  • Find square roots

7.1 Radical Expressions and Graphs

7.2 Rational Exponents

7.3 Simplifying Radicals, the Distance Formula, and Circles

7.4 Adding and Subtracting Radical Expressions

7.5 Multiplying and Dividing Radical Expressions

7.6 Solving Equations with Radicals

7.7 Complex Numbers

            Chapter 7 Summary

            Chapter 7 Review Exercises

            Chapter 7 Mixed Review Exercises

            Chapter 7 Test

            Chapters R--7 Cumulative Review Exercises

 

8. Quadratic Equations, Inequalities, and Functions

  • Simplify expressions

8.1 The Square Root Property and Completing the Square

8.2 The Quadratic Formula

8.3 Equations Quadratic in Form

8.4 Formulas and Further Applications

8.5 Graphs of Quadratic Functions

8.6 More about Parabolas and Their Applications

8.7 Polynomial and Radial Inequalities

            Chapter 8 Summary

            Chapter 8 Review Exercises

            Chapter 8 Mixed Review Exercises

            Chapter 8 Test

            Chapters R--8 Cumulative Review Exercises

 

9. Inverse, Exponential, and Logarithmic Functions

  • Understand the definition of a function
  • Find domain and range
  • Identify functions defined by graphs and equations
  • Use function notation

9.1 Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

9.5 Common and Natural Logarithms

9.6 Exponential and Logarithmic Equations; Further Applications

            Chapter 9 Summary

            Chapter 9 Review Exercises

            Chapter 9 Mixed Review Exercises

            Chapter 9 Test

            Chapters R--9 Cumulative Review Exercises

 

10. Nonlinear Functions, Conic Sections, and Nonlinear Systems

  • Graph functions defined by radical expressions
  • Solve linear systems by substitution
  • Solve linear systems by elimination
  • Graph linear inequalities in two variables

10.1 Additional Graphs of Functions

10.2 The Circle and the Ellipse

10.3 The Hyperbola and Functions Defined by Radicals

10.4 Nonlinear Systems of Equations

10.5 Second-Degree Inequalities and Systems of Inequalities

            Chapter 10 Summary

            Chapter 10 Review Exercises

            Chapter 10 Test

            Chapters 1--10 Cumulative Review Exercises

 

11. Sequences and Series

  • Use inductive reasoning to analyze patterns
  • Recognize and evaluate polynomial functions

11.1 Sequences and Series

11.2 Arithmetic Sequences

11.3 Geometric Sequences

11.4 The Binomial Theorem

            Chapter 11 Summary

            Chapter 11 Review Exercises

            Chapter 11 Test

            Chapters 1--11 Cumulative Review Exercises

 

Appendix A Synthetic Division

Appendix B Determinants and Cramer's Rule

 

Answers to Selected Exercises

Glossary

 

 

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