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Beginning Algebra

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Pub. Date:
McGraw-Hill Science/Engineering/Math
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Today's Developmental Math students enter college needing more than just the math, and this has directly impacted the instructor's role in the classroom. Instructors have to teach to different learning styles, within multiple teaching environments, and to a student population that is mostly unfamiliar with how to be a successful college student. Authors Andrea Hendricks and Pauline Chow have noticed this growing trend in their combined 30+ years of teaching at their respective community colleges, both in their face-to-face and online courses. As a result, they set out to create course materials that help today's students not only learn the mathematical concepts but also build life skills for future success. Understanding the time constraints for instructors, these authors have worked to integrate success strategies into both the print and digital materials, so that there is no sacrifice of time spent on the math. Furthermore, Andrea and Pauline have taken the time to write purposeful examples and exercises that are student-centered, relevant to today's students, and guide students to practice critical thinking skills. Intermediate Algebraand its supplemental materials, coupled with ALEKS or Connect Math Hosted by ALEKS, allow for both full-time and part-time instructors to teach more than just the math in any teaching environment without an overwhelming amount of preparation time or even classroom time.

Table of Contents

Chapter S: Strategies to Succeed in Math

S.1 Time Management and Goal Setting

S.2 Learning Styles

S.3 Study Skills

S.4 Test Taking

S.5 Blended and Online Classes

Chapter 1: Real Numbers and Algebraic Expressions

1.1: The Set of Real Numbers

1.2: Fractions Review

1.3: The Order of Operations, Algebraic Expressions, and Equations

1.4: Addition of Real Numbers

Piece it Together 1.1-1.4

1.5: Subtraction of Real Numbers

1.6: Multiplication and Division of Real Numbers

1.7: Properties of Real Numbers

1.8: Algebraic Expressions

Chapter 1 Group Activity
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test
Chapter 1 Cumulative Review

Chapter 2: Linear Equations and Inequalities in One Variable

2.1: Equations and Their Solutions

2.2: The Addition Property of Equality

2.3: The Multiplication Property of Equality

2.4: More on Solving Linear Equations

Piece it Together 2.1-2.4

2.5: Formulas and Applications from Geometry

2.6: Percent, Rate, and Mixture Problems

2.7: Linear Inequalities in One Variable

Chapter 2 Group Activity
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Chapter 1-2 Cumulative Review

Chapter 3: Linear Equations in Two Variables

3.1: Equations and the Rectangular Coordinate System

3.2: Graphing Linear Equations

3.3: The Slope of a Line

Piece it Together 3.1-3.3

3.4: More about Slope

3.5: Writing Equations of Lines

3.6: Functions

Chapter 3 Group Activity
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Chapter 1-3 Cumulative Review

Chapter 4: Systems of Linear Equations and Inequalities in Two Variables

4.1: Solving Systems of Linear Equations Graphically

4.2: Solving Systems of Linear Equations by Substitution

4.3: Solving Systems of Linear Equations by Elimination

Piece it Together 4.1-4.3

4.4: Applications of Systems of Linear Equations

4.5: Linear Inequalities in Two Variables

4.6: Systems of Linear Inequalities in Two Variables

Chapter 4 Group Activity
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Chapter 1-4 Cumulative Review

Chapter 5: Laws of Exponents and Polynomial Operations

5.1: The Product and Power Rule for Exponents

5.2: The Quotient Rule and Zero and Negative Exponents

5.3: Scientific Notation

5.4: Addition and Subtraction of Polynomials

Piece it Together 5.1-5.4

5.5: Multiplication of Polynomials

5.6: Special Products

5.7: Division of Polynomials

Chapter 5 Group Activity
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Chapter 1-5 Cumulative Review

Chapter 6: Factoring Polynomials and Polynomial Equations

6.1: Greatest Common Factor and Grouping

6.2: Factoring Trinomials

6.3: More on Factoring Trinomials

Piece it Together 6.1-6.3

6.4: Factoring Binomials

6.5: Solving Quadratic Equations and Other Polynomial Equations by Factoring

6.6: Applications of Quadratic Equations

Chapter 6 Group Activity
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Chapter 1-6 Cumulative Review

Chapter 7: Rational Expressions and Equations

7.1: Rational Expressions

7.2: Multiplication and Division of Rational Expressions

7.3: Addition and Subtraction of Rational Expressions with Like Denominators and the Least Common Denominator

7.4: Addition and Subtraction of Rational Expressions with Unlike Denominators

Piece it Together 7.1-7.4

7.5: Complex Fractions

7.6: Solving Rational Equations

7.7: Proportions and Applications of Rational Equations

Chapter 7 Group Activity
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Chapter 1-7 Cumulative Review

Chapter 8: Radical Expressions and Equations

8.1: Radical Expressions

8.2: Simplifying Radicals and the Distance Formula

8.3: Adding and Subtracting Radical Expressions

Piece it Together 8.1-8.3

8.4: Multiplying and Dividing Radical Expressions

8.5: Solving Square Root Equations and Applications Involving Square Roots

8.6: Rational Exponents

Chapter 8 Group Activity
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Chapter 1-8 Cumulative Review

Chapter 9: Quadratic Equations

9.1: Solving Quadratic Equations by the Square Root Property

9.2: Solving Quadratic Equations by Completing the Square

9.3: Solving Quadratic Equations by the Quadratic Formula

Piece it Together 9.1-9.3

9.4: Complex Numbers and Quadratic Equations with Complex Solutions

9.5: Solving Quadratic Equations by Graphical Methods

Chapter 9 Group Activity
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test
Chapter 1-9 Cumulative Review

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