Beginning and Intermediate Algebra by Sherri MessersmithBeginning and Intermediate Algebra by Sherri Messersmith

Beginning and Intermediate Algebra

bySherri Messersmith

Hardcover | January 6, 2011

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Connecting Knowledge – Sherri prepares her students for success by refreshing their knowledge of arithmetic. By helping students see the connection between arithmetic and algebra, Sherri found that her students were more confident in their abilities as they progressed through the course. This classroom tested practice was integrated into the texts so that both instructors and students could benefit. Messersmith accomplishes this by including arithmetic examples for most sections before the use of algebraic examples. Also, the author has developed through classroom use a series of Basic Skills Worksheets that can easily be integrated into the classroom.
Presenting Concepts in “Bite Size” Pieces – By breaking down the sections into manageable pieces, the author has identified the core places where students traditionally struggle and then assists them in understanding that material to be successful moving forward.
Mastering Concepts - With the textbook and Connect Mathematics hosted by ALEKS, a new online homework and assessment tool, students can practice and master their understanding of algebraic concepts.
Messersmith is rigorous enough to prepare students for the next level yet easy to read and understand. The exposition is written as if a professor is teaching in a lecture to be more accessible to students. The language is mathematically sound yet easy enough for students to understand.
Title:Beginning and Intermediate AlgebraFormat:HardcoverDimensions:11.4 × 8.6 × 1.6 inPublished:January 6, 2011Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0073384372

ISBN - 13:9780073384375


Table of Contents

Chapter 1: The Real Number System and Geometry

1.1Review of Fractions

1.2Exponents and Order of Operations

1.3Geometry Review

1.4Sets of Numbers and Absolute Value

1.5Addition and Subtraction of Real Numbers

1.6Multiplication and Division of Real Numbers

1.7Algebraic Expressions and Properties of Real Numbers

Chapter 2: The Rules of Exponents

2.1Basic Rules of Exponents

Part AThe Product Rule and Power Rules
Part BCombining the Rules

2.2Integer Exponents

Part AReal-Number Bases
Part BVariable Bases

2.3The Quotient Rule

Putting It All Together

2.4Scientific Notation

Chapter 3: Linear Equations and Inequalities

3.1Solving Linear Equations Part I

3.2Solving Linear Equations Part II

3.3Applications of Linear Equations

3.4Applications Involving Percentages

3.5Geometry Applications and Solving Formulas

3.6Applications of Linear Equations to Proportions, Money Problems, and d=rt

3.7Solving Linear Inequalities in One Variable

3.8Solving Compound Inequalities

Chapter 4: Linear Equations in Two Variables

4.1Introduction to Linear Equations in Two Variables

4.2Graphing by Plotting Points and Finding Intercepts

4.3The Slope of a Line

4.4The Slope-Intercept Form of a Line

4.5Writing an Equation of a Line

4.6Introduction to Functions

Chapter 5: Solving Systems of Linear Equations

5.1Solving Systems by Graphing

5.2Solving Systems by Substitution

5.3Solving Systems by the Elimination Method

Putting It All Together

5.4Applications of Systems of Two Equations

5.5 Systems of Three Equations and Applications

Chapter 6: Polynomials

6.1Review of the Rules of Exponents

6.2Addition and Subtraction of Polynomials

6.3Multiplication of Polynomials

6.4Division of Polynomials

Chapter 7: Factoring Polynomials

7.1The Greatest Common Factor and Factoring by Grouping

7.2Factoring Trinomials of the Form x2+bx+c

7.3Factoring Trinomials of the Form ax2+bx+c (a?1)

7.4Factoring Special Trinomials and Binomials

Putting It All Together

7.5 Solving Quadratic Equations by Factoring

7.6Applications of Quadratic Equations

Chapter 8: Rational Expressions

8.1Simplifying Rational Expressions

8.2Multiplying and Dividing Rational Expressions

8.3Finding the Least Common Denominator

8.4Adding and Subtracting Rational Expressions

Putting It All Together

8.5Simplifying Complex Fractions

8.6Solving Rational Equations

8.7Applications of Rational Equations

Chapter 9: More Equations and Inequalities

9.1Solving Absolute Value Equations

9.2Solving Absolute Value Inequalities

9.3Solving Linear and Compound Linear Inequalities in Two Variables

9.4Solving Systems of Linear Equations Using Matrices

Chapter 10: Radicals and Rational Exponents

10.1 Finding Roots

10.2 Rational Exponents

10.3 Simplifying Expressions Containing Square Roots

10.4 Simplifying Expressions Containing Higher Roots

10.5 Adding, Subtracting, and Multiplying Radicals

10.6 Dividing Radicals

Putting It All Together

10.7 Solving Radical Equations

10.8 Complex Numbers

Chapter 11: Quadratic Equations

11.1 Review of Solving Equations by Factoring

11.2 The Square Root Property and Completing the Square

11.3 The Quadratic Formula

Putting It All Together

11.6 Equations in Quadratic Form

11.7 Formulas and Applications

Chapter 12: Functions and their Graphs

12.1 Relations and Functions

12.2 Graphs of Functions and Transformations

12.3 Quadratic Functions and Their Graphs

12.4 Applications of Quadratic Functions and Graphing Other Parabolas

12.5 The Algebra of Functions

12.6 Variation

Chapter 13: Exponential, and Logarithmic Functions

13.1 Inverse Functions

13.2 Exponential Functions

13.3 Logarithmic Functions

13.4 Properties of Logarithms

13.5 Common and Natural Logarithms and Change of Base

13.6 Solving Exponential and Logarithmic Equations

Chapter 14: Conic Sections, Nonlinear Inequalities, and Nonlinear Systems

14.1 The Circle

14.2 The Ellipse and the Hyperbola

Putting It All Together

14.3 Nonlinear Systems of Equations

14.4 Quadratic and Rational Inequalities

Chapter 15: Sequences and Series (Online Only)

15.1 Sequences and Series

15.2 Arithmetic Sequences and Series

15.3 Geometric Sequences and Series

15.4 The Binomial Theorem

Appendix: Beginning Algebra Review

A1The Real Number System and Geometry

A2Variables and Exponents

A3Linear Equations and Inequalities

A4Linear Equations in Two Variables and Functions

A5Solving Systems of Linear Equations


A7Factoring Polynomials

A8Rational Expressions