Beginning Algebra
Table of Contents

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Program Details

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