Intermediate Algebra

Hardcover | February 22, 2011

bySherri Messersmith

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Building a Better Path To Success!

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.

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From the Publisher

Building a Better Path To Success!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...

Format:HardcoverDimensions:11.2 × 8.5 × 1.5 inPublished:February 22, 2011Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0073406171

ISBN - 13:9780073406176

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Table of Contents

Chapter 1: Real Numbers and Basic Geometry Concepts

1.1Sets of Numbers

1.2Operations on Real Numbers

1.3Algebraic Expressions and Properties of Real Numbers

Chapter 2: Linear Equations and Inequalities in One Variable

2.1Solving Linear Equations in One Variable

2.2Applications of Linear Equations

2.3Geometry Applications and Solving Formulas

2.4More Applications of Linear Equations

2.5Linear Inequalities in One Variable

2.6Compound Inequalities in One Variable

2.7Absolute Value Equations and Inequalities

Chapter 3: Linear Equations in Two Variables and Functions

3.1Introduction to Linear Equations in Two Variables

3.2Slope of a Line and Slope-Intercept Form

3.3Writing an Equation of a Line

3.4Linear and Compound Linear Inequalities in Two Variables

3.5Introduction to Functions

Chapter 4: Solving Systems of Linear Equations

4.1Solving Systems of Linear Equations in Two Variables

4.2Solving Systems of Linear Equations in Three Variables

4.3Applications of Systems of Linear Equations

4.4Solving Systems of Linear Equations Using Matrices

Chapter 5: Polynomials and Polynomial Functions

5.1The Rules of Exponents

5.2More on Exponents and Scientific Notation

5.3Addition and Subtraction of Polynomials and Polynomial Functions

5.4Multiplication of Polynomials and Polynomial Functions

5.5Division of Polynomials and Polynomial Functions

Chapter 6: Factoring Polynomials

6.1The Greatest Common Factor and Factoring by Grouping

6.2Factoring Trinomials

6.3Special Factoring Techniques

Putting It All Together

6.4Solving Quadratic Equations by Factoring

6.5Applications of Quadratic Equations

Chapter 7: Rational Expressions, Equations, and Functions

7.1Simplifying, Multiplying, and Dividing Rational Expressions and Functions

7.2Adding and Subtracting Rational Expressions

7.3Simplifying Complex Fractions

7.4Solving Rational Equations

Putting It All Together

7.5Applications of Rational Equations

7.6Variation

Chapter 8: Radicals and Rational Exponents

8.1Radical Expressions and Functions

8.2Rational Exponents

8.3Simplifying Expressions Containing Square Roots

8.4Simplifying Expressions Containing Higher Roots

8.5Adding, Subtracting, and Multiplying Radicals

8.6Dividing Radicals

Putting It All Together

8.7Solving Radical Equations

8.8Complex Numbers

Chapter 9: Quadratic Equations and Functions

9.1The Square Root Property and Completing the Square

9.2The Quadratic Formula

Putting It All Together

9.3Equations in Quadratic Form

9.4Formulas and Applications

9.5Quadratic Functions and Their Graphs

9.6Applications of Quadratic Functions and Graphing Other Parabolas

9.7Quadratic and Rational Inequalities

Chapter 10: Exponential, and Logarithmic Functions

10.1 Composite and Inverse Functions

10.2 Exponential Functions

10.3 Logarithmic Functions

10.4 Properties of Logarithms

10.5 Common and Natural Logarithms and Change of Base

10.6 Solving Exponential and Logarithmic Equation

Chapter 11: Nonlinear Functions, Conic Sections, and Nonlinear Systems

11.1 Graphs of Other Useful Functions

11.2 The Distance Formula, Midpoint, and Circle

11.3 The Ellipse

11.4 The Hyperbola

Putting It All Together

11.5 Nonlinear Systems of Equations

11.6 Second-Degree Inequalities and Systems of Inequalities

Chapter 12: Sequences and Series (Online Only)

12.1 Sequences and Series

12.2 Arithmetic Sequences and Series

12.3 Geometric Sequences and Series

12.4 The Binomial Theorem

A Appendix

A.1Geometry Review

A.2Determinants and Cramer's Rule

A.3Graphing Polynomial Functions

A.4Synthetic Division and the Remainder Theorem