Combo: Beginning & Intermediate Algebra With Connect Plus Math Hosted by ALEKS Access Card

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  • Edition: 3rd
  • Format: Package
  • Copyright: 1/25/2011
  • Publisher: McGraw-Hill Science/Engineering/Math
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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.

Table of Contents

Chapter 1: The Real Number System and Geometry

1.1 Review of Fractions

1.2 Exponents and Order of Operations

1.3 Geometry Review

1.4 Sets of Numbers and Absolute Value

1.5 Addition and Subtraction of Real Numbers

1.6 Multiplication and Division of Real Numbers

1.7 Algebraic Expressions and Properties of Real Numbers

Chapter 2: The Rules of Exponents

2.1 Basic Rules of Exponents

Part A The Product Rule and Power Rules
Part B Combining the Rules

2.2 Integer Exponents

Part A Real-Number Bases
Part B Variable Bases

2.3 The Quotient Rule

Putting It All Together

2.4 Scientific Notation

Chapter 3: Linear Equations and Inequalities

3.1 Solving Linear Equations Part I

3.2 Solving Linear Equations Part II

3.3 Applications of Linear Equations

3.4 Applications Involving Percentages

3.5 Geometry Applications and Solving Formulas

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

3.7 Solving Linear Inequalities in One Variable

3.8 Solving Compound Inequalities

Chapter 4: Linear Equations in Two Variables

4.1 Introduction to Linear Equations in Two Variables

4.2 Graphing by Plotting Points and Finding Intercepts

4.3 The Slope of a Line

4.4 The Slope-Intercept Form of a Line

4.5 Writing an Equation of a Line

4.6 Introduction to Functions

Chapter 5: Solving Systems of Linear Equations

5.1 Solving Systems by Graphing

5.2 Solving Systems by Substitution

5.3 Solving Systems by the Elimination Method

Putting It All Together

5.4 Applications of Systems of Two Equations

5.5 Systems of Three Equations and Applications

Chapter 6: Polynomials

6.1 Review of the Rules of Exponents

6.2 Addition and Subtraction of Polynomials

6.3 Multiplication of Polynomials

6.4 Division of Polynomials

Chapter 7: Factoring Polynomials

7.1 The Greatest Common Factor and Factoring by Grouping

7.2 Factoring Trinomials of the Form x2+bx+c

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

7.4 Factoring Special Trinomials and Binomials

Putting It All Together

7.5 Solving Quadratic Equations by Factoring

7.6 Applications of Quadratic Equations

Chapter 8: Rational Expressions

8.1 Simplifying Rational Expressions

8.2 Multiplying and Dividing Rational Expressions

8.3 Finding the Least Common Denominator

8.4 Adding and Subtracting Rational Expressions

Putting It All Together

8.5 Simplifying Complex Fractions

8.6 Solving Rational Equations

8.7 Applications of Rational Equations

Chapter 9: More Equations and Inequalities

9.1 Solving Absolute Value Equations

9.2 Solving Absolute Value Inequalities

9.3 Solving Linear and Compound Linear Inequalities in Two Variables

9.4 Solving 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

A1 The Real Number System and Geometry

A2 Variables and Exponents

A3 Linear Equations and Inequalities

A4 Linear Equations in Two Variables and Functions

A5 Solving Systems of Linear Equations

A6 Polynomials

A7 Factoring Polynomials

A8 Rational Expressions

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