Introductory & Intermediate Algebra with Integrated Review, 6th edition

  • Margaret L. Lial
  • John Hornsby
  • Terry McGinnis

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For courses in Beginning & Intermediate Algebra.

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Introductory & Intermediate Algebra with Integrated Review, 6/e by Lial/Hornsby/McGinniscan be used in co-requisite courses, or simply to help students who enter Beginning & Intermediate Algebra without a full understanding of prerequisite skills and concepts.

 

Integrated Review MyLab™ Math courses provide the full suite of supporting resources for the beginning & intermediate algebra course, plus additional assignments and study aids from select topics for students who will benefit from remediation. Assignments for the integrated review content are preassigned in MyLab, making it easier than ever to create your course.


The perfect combination to master concepts: student-friendly writing, well-crafted exercises, and superb support

The Lial Series has helped thousands of students succeed in developmental mathematics by combining clear, concise writing and examples with carefully crafted exercises to support skill development and conceptual understanding. The reader-friendly style delivers help precisely when needed. This revision continues to support students with enhancements in the text and MyLab™ Math course to encourage conceptual understanding beyond skills and procedures. Student-oriented features throughout the text and MyLab Math, including the Relating Concepts exercises, Guided Solutions, Test Your Word Power, and the Lial Video Library, make the Lial series one of the most well-rounded and student-friendly available.

 

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NOTE: This package includes a MyLab Math access kit created specifically for Lial/Hornsby/McGinnis, Introductory and Intermediate Algebra 6/e. This title-specific access kit provides access to the Lial/Hornsby/McGinnis, Introductory and Intermediate Algebra 6/e accompanying MyLab course ONLY.

                               

0134786157 / 9780134786155  Introductory & Intermediate Algebra with Integrated Review Plus MyMathLab -- Title-Specific Access Card Package, 6/e

Package consists of:

  • 0134493753 / 9780134493756  Introductory & Intermediate Algebra
  • 0134775503 / 9780134775500  Integrated Review worksheets for Introductory & Intermediate Algebra
  • 0134775449 / 9780134775449  MyLab Math with Pearson eText - Standalone Access Card - for Introductory & Intermediate Algebra with Integrated Review

 

Table of contents

Chapter R Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

 


Chapter 1 The Real Number System

  • Multiply and divide fractions and mixed numbers
  • Add and subtract fractions and mixed numbers
  • Add and subtract decimals
  • Multiply and divide decimals

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 Real Numbers

1.5  Subtracting Real Numbers

1.6  Multiplying and Dividing Real Numbers

1.7  Properties of Real Numbers

1.8  Simplifying Expressions



Chapter 2 Equations, Inequalities, and Applications

  • Complete a table of fractions, decimals, and percents
  • Write statements that change the direction of inequality symbols
  • Translate word phrases to algebraic expressions
  • Evaluate algebraic expressions, given values for the variables
  • Identify solutions of equations
  • Translate sentences to equations
  • Classify numbers and graph them on number lines
  • Identify properties of real numbers
  • Simplify expressions

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on 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

2.7 Solving Linear Inequalities

 


Chapter 3 Graphs of Linear Equations and Inequalities in Two Variables

  • Solve linear equations using more than one property of equality
  • Solve a formula for one variable, given the values of the other variables
  • Solve linear inequalities by using both properties of inequality

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

3.6 Graphing Linear Inequalities in Two Variables



Chapter 4 Systems of Linear Equations and Inequalities

  • Decide whether a given ordered pair is a solution of a given equation
  • Graph linear equations by plotting ordered pairs
  • Use a linear equation to model data
  • Graph linear inequalities in two variables

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

4.4 Applications of Linear Systems

4.5 Solving Systems of Linear Inequalities

 


Chapter 5 Exponents and Polynomials

  • Evaluate algebraic expressions, given values for the variables
  • Solve applied problems that involve real number operations
  • Simplify expressions
  • Solve a formula for one variable, given the values of the other variables

5.1 The Product Rule and Power Rules for Exponents

5.2 Integer Exponents and the Quotient Rule

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

 


Chapter 6 Factoring and Applications

  • Write numbers in prime factored form
  • Solve multiplication and division problems involving 0
  • Solve a formula for a specified variable
  • Know the vocabulary for polynomials
  • Multiply two polynomials
  • Multiply binomials using the FOIL method
  • Square binomials
  • Find the product of the sum and difference of two terms
  • Divide a polynomial by a polynomial

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

 


Chapter 7 Rational Expressions and Applications

  • Write fractions in lowest terms
  • Multiply and divide fractions and mixed numbers
  • Add and subtract fractions and mixed numbers
  • Use the distributive property
  • Solve equations with fractions or decimals as coefficients
  • Solve problems involving unknown numbers
  • Solve a formula for a specified variable
  • Use combinations of the rules for exponents that involve integer exponents
  • Factor any polynomial

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

7.7 Applications of Rational Expressions

 


Chapter 8 Equations, Inequalities, Graphs, and Systems Revisited

  • Solve linear equations using more than one property of equality
  • Solve linear inequalities by using both properties of inequality
  • Use inequalities to solve applied problems
  • Solve linear inequalities with three parts
  • Graph linear equations by plotting ordered pairs
  • Solve problems about quantities and their costs
  • Solve problems about mixtures
  • Solve problems about distance, rate (or speed), and time

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

8.4 Review of Graphing Linear Equations in Two Variables; Slope

8.5 Review of Systems of Linear Equations in Two Variables

8.6 Systems of Linear Equations in Three Variables; Applications

 


Chapter 9 Relations and Functions

  • Solve a formula for a specified variable
  • Decide whether a given ordered pair is a solution of a given equation
  • Complete a table of values
  • Graph linear equations by plotting ordered pairs
  • Graph linear equations of the form y = b or x = a
  • Evaluate polynomials
  • Perform operations with polynomials

9.1 Introduction to Relations and Functions

9.2 Function Notation and Linear Functions

9.3 Polynomial Functions, Operations, and Graphs

9.4 Variation

 


Chapter 10 Roots, Radicals, and Root Functions

  • Use a linear equation to model data
  • Use combinations of the rules for exponents that involve integer exponents
  • Solve problems by applying the Pythagorean Theorem
  • Graph basic polynomial 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

10.6 Solving Equations with Radicals

10.7 Complex Numbers

 


Chapter 11 Quadratic Equations, Inequalities, and Functions

  • Graph linear inequalities in two variables
  • Factor any polynomial
  • Solve quadratic equations using the zero-factor property
  • Solve application problems involving quadratic equations
  • Solve problems using given quadratic models
  • Solve application problems involving polynomial functions
  • Graph basic polynomial functions
  • Solve applications involving radical expressions and graphs
  • Solve radical equations that require additional steps
  • Solve applications and extensions involving complex numbers

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

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

 


Chapter 12 Inverse, Exponential, and Logarithmic Functions

  • Use combinations of the rules for exponents that involve integer exponents
  • Identify functions defined by graphs and equations
  • Use function notation
  • Solve applications involving linear functions
  • Graph basic polynomial functions
  • Solve applied problems using quadratic functions as models

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

 


Chapter 13 Nonlinear Functions, Conic Sections, and Nonlinear Systems

    • Solve linear systems by graphing
    • Solve linear systems by substitution
    • Solve linear systems by elimination
    • Solve systems of linear inequalities by graphing
    • Graph basic polynomial functions
    • Solve radical equations that require additional steps
    • Graph parabolas with vertical axes
    • Graph parabolas with horizontal axes
    • Solve quadratic inequalities
    • Solve polynomial inequalities of degree 3 or greater
    • Solve rational inequalities

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, Factoring (Transition from Introductory to Intermediate Algebra)

Appendix B:  Synthetic Division

Appendix C:  Solving Systems of Linear Equations by Matrix Methods

Published by Pearson (August 22nd 2017) - Copyright © 2018