# Beginning and Intermediate Algebra with P.O.W.E.R. Learning

4^{th}Edition

ISBN10: 0073512915

ISBN13: 9780073512914

Copyright: 2016

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ISBN10: 0073512915 | ISBN13: 9780073512914

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

**Beginning & Intermediate Algebra with POWER Learning**

**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 Rules of Exponents**

2.1A Basic Rules of Exponents: The Product Rule and Power Rules

2.1B Basic Rules of Exponents: Combining the Rules

2.2A Integer Exponents Bases: Real-Number Bases

2.2B Integer Exponents Bases: Variable Bases

2.3 The Quotient Rule

2.4 Scientific Notation

**Chapter 3 Linear Equations and Inequalities in One Variable**

3.1 Solving Linear Equations Part I

3.2 Solving Linear Equations Part II

3.3 Applications of Linear Equations

3.4 Applications Involving Percents

3.5 Geometry Applications and Solving Formulas

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

3.7 Linear Inequalities in One Variable

3.8 Compound Inequalities in One Variable

**Chapter 4 Linear Equations in Two Variables and Functions**

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 the Substitution Method

5.3 Solving Systems by the Elimination Method

5.4 Applications of Systems of Two Equations

5.5 Solving Systems of Three Equations and Applications

5.6 Solving Systems of Linear Equations Using Matrices

**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 *x ^{2}*+

*bx*+

*c*

7.3 Factoring Trinomials of the Form *ax*^{2}+*bx*+*c* (*a*≠1)

7.4 Factoring Special Trinomials and Binomials

7.5 Solving Quadratic Equations by Factoring

7.6 Applications of Quadratic Equations

**Chapter 8 Rational Expressions**

8.1 Rational Expressions and Functions

8.2 Multiplying and Dividing Rational Expressions

8.3 Finding the Least Common Denominator

8.4 Adding and Subtracting Rational Expressions

8.5 Simplifying Complex Fractions

8.6 Solving Rational Equations

8.7 Applications of Rational Equations

8.8 Variation

**Chapter 9 More Equations and Inequalities**

9.1 Absolute Value Equations

9.2 Absolute Value Inequalities

9.3 Linear and Compound Linear Inequalities in Two Variables

**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

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

11.4 Equations in Quadratic Form

11.5 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 Quadratic and Rational Inequalities

12.6 The Algebra of Functions

**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 Systems, and Nonlinear Inequalities**

14.1 The Circle

14.2 The Ellipse and the Hyperbola

14. PIAT Putting It All Together

14.4 Second-Degree Inequalities and Systems of 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

# About the Author

**Sherri Messersmith**

Sherri Messersmith has been teaching at College of DuPage in Glen Ellyn, Illinois, since 1994. She has over 25 years of experience teaching many different courses from developmental mathematics through calculus. She earned a bachelor of science degree in the teaching of mathematics at the University of Illinois at Urbana-Champaign and went on to teach at the high level for two years. Sherri returned to UIUC and earned a master of science in applied mathematics and stayed on at the university to teach and coordinate large sections of undergraduate math courses. Sherri has authored several textbook, and she has also appeared in videos accompanying several McGraw-Hill texts. Sherri lives outside of Chicago with her husband, Phil, and their daughters, Alex and Cailen. In her precious free time, she likes to read, play the guitar, and travel -- the manuscripts for this and her previous books have accompanied her from Spain to Greece and many points in between.

### Connect

By prompting students to engage with key concepts, while continually adapting to their individual needs, Connect activates learning and empowers students to take control resulting in better grades and increased retention rates. Proven online content integrates seamlessly with our adaptive technology, and helps build student confidence outside of the classroom.

Learn More### Connect Reporting

View complete, at-a-glance reports for individual students or the whole class. Generate powerful data related to student performance across learning outcomes, specific topics, level of difficulty and more. Additionally, you can compare student performance in different sections of the course.

Learn More### LMS Integration

With a single point of access, Connect seamlessly integrates with every learning management system on the market today. Quickly access registration, attendance, assignments, grades, and course resources in real time in one, familiar location.

### Implementation and digital support

We provide self-directed resources, local, on campus training, and live webinar sessions, to get you up and running in a way that works for you, and to help you get the most out of Connect. We maintain a technical support team available to both instructors and students for any questions that might arise while using Connect.

Learn More#### Accessibility Rubric

Creating accessible products is a priority for McGraw-Hill. We have put in place processes to make accessibility and meeting the WCAG AA guidelines part of our day-to-day development efforts and product roadmaps.

Please review our accessibility information for this specific product.

In future editions, this rubric will be reformatted to increase accessibility and usability.

McGraw-Hill sites may contain links to websites owned and operated by third parties. These links are provided as supplementary materials, and for learners’ information and convenience only. McGraw-Hill has no control over and is not responsible for the content or accessibility of any linked website.

**For further information on McGraw‐Hill and Accessibility, please visit our accessibility page or contact us at accessibility@mheducation.com**

**Beginning & Intermediate Algebra with POWER Learning**

**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 Rules of Exponents**

2.1A Basic Rules of Exponents: The Product Rule and Power Rules

2.1B Basic Rules of Exponents: Combining the Rules

2.2A Integer Exponents Bases: Real-Number Bases

2.2B Integer Exponents Bases: Variable Bases

2.3 The Quotient Rule

2.4 Scientific Notation

**Chapter 3 Linear Equations and Inequalities in One Variable**

3.1 Solving Linear Equations Part I

3.2 Solving Linear Equations Part II

3.3 Applications of Linear Equations

3.4 Applications Involving Percents

3.5 Geometry Applications and Solving Formulas

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

3.7 Linear Inequalities in One Variable

3.8 Compound Inequalities in One Variable

**Chapter 4 Linear Equations in Two Variables and Functions**

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 the Substitution Method

5.3 Solving Systems by the Elimination Method

5.4 Applications of Systems of Two Equations

5.5 Solving Systems of Three Equations and Applications

5.6 Solving Systems of Linear Equations Using Matrices

**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 *x ^{2}*+

*bx*+

*c*

7.3 Factoring Trinomials of the Form *ax*^{2}+*bx*+*c* (*a*≠1)

7.4 Factoring Special Trinomials and Binomials

7.5 Solving Quadratic Equations by Factoring

7.6 Applications of Quadratic Equations

**Chapter 8 Rational Expressions**

8.1 Rational Expressions and Functions

8.2 Multiplying and Dividing Rational Expressions

8.3 Finding the Least Common Denominator

8.4 Adding and Subtracting Rational Expressions

8.5 Simplifying Complex Fractions

8.6 Solving Rational Equations

8.7 Applications of Rational Equations

8.8 Variation

**Chapter 9 More Equations and Inequalities**

9.1 Absolute Value Equations

9.2 Absolute Value Inequalities

9.3 Linear and Compound Linear Inequalities in Two Variables

**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

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

11.4 Equations in Quadratic Form

11.5 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 Quadratic and Rational Inequalities

12.6 The Algebra of Functions

**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 Systems, and Nonlinear Inequalities**

14.1 The Circle

14.2 The Ellipse and the Hyperbola

14. PIAT Putting It All Together

14.4 Second-Degree Inequalities and Systems of 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

# About the Author

**Sherri Messersmith**

Sherri Messersmith has been teaching at College of DuPage in Glen Ellyn, Illinois, since 1994. She has over 25 years of experience teaching many different courses from developmental mathematics through calculus. She earned a bachelor of science degree in the teaching of mathematics at the University of Illinois at Urbana-Champaign and went on to teach at the high level for two years. Sherri returned to UIUC and earned a master of science in applied mathematics and stayed on at the university to teach and coordinate large sections of undergraduate math courses. Sherri has authored several textbook, and she has also appeared in videos accompanying several McGraw-Hill texts. Sherri lives outside of Chicago with her husband, Phil, and their daughters, Alex and Cailen. In her precious free time, she likes to read, play the guitar, and travel -- the manuscripts for this and her previous books have accompanied her from Spain to Greece and many points in between.

### Connect

By prompting students to engage with key concepts, while continually adapting to their individual needs, Connect activates learning and empowers students to take control resulting in better grades and increased retention rates. Proven online content integrates seamlessly with our adaptive technology, and helps build student confidence outside of the classroom.

Learn More### Connect Reporting

View complete, at-a-glance reports for individual students or the whole class. Generate powerful data related to student performance across learning outcomes, specific topics, level of difficulty and more. Additionally, you can compare student performance in different sections of the course.

Learn More### LMS Integration

With a single point of access, Connect seamlessly integrates with every learning management system on the market today. Quickly access registration, attendance, assignments, grades, and course resources in real time in one, familiar location.

### Implementation and digital support

We provide self-directed resources, local, on campus training, and live webinar sessions, to get you up and running in a way that works for you, and to help you get the most out of Connect. We maintain a technical support team available to both instructors and students for any questions that might arise while using Connect.

Learn More#### Accessibility Rubric

Creating accessible products is a priority for McGraw-Hill. We have put in place processes to make accessibility and meeting the WCAG AA guidelines part of our day-to-day development efforts and product roadmaps.

Please review our accessibility information for this specific product.

In future editions, this rubric will be reformatted to increase accessibility and usability.

McGraw-Hill sites may contain links to websites owned and operated by third parties. These links are provided as supplementary materials, and for learners’ information and convenience only. McGraw-Hill has no control over and is not responsible for the content or accessibility of any linked website.

**For further information on McGraw‐Hill and Accessibility, please visit our accessibility page or contact us at accessibility@mheducation.com**

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