Intermediate Algebra:

teaching and learning resources

Sample Solutions by Chapters (with selected sections)

Chapter 1:    Real Numbers and Algebra

1. -Describing Data with Sets of Numbers

2. -Operations on Real Numbers

3. -Integer Exponents

4. -Variables, Equations, and Formulas

5. -Introduction to Graphing

Chapter 2:    Linear Functions and Models

1. -Functions and Their Representations

2. -Linear Functions

3. -The Slope of a Line

4. -Equations of Lines and Linear Models

Chapter 3:    Linear Equations and Inequalities

1. -Linear Equations

2. -Introduction to Problem Solving

3. -Linear Inequalities

4. -Compound Inequalities

Chapter 4:    Systems of Linear Equations

1. -System of Linear Equations of Two Variables

2. -The Substitution and Elimination Methods

3. -Systems of Linear Inequalities

Chapter 5:    Polynomial Expressions and Functions

1. -Polynomial Functions

2. -Multiplication of Polynomials

3. -Factoring Polynomials

4. -Factoring Trinomials

5. -Special Types of Factoring

6. -Polynomial Equations

Chapter 6:    Rational Expressions and Functions

1. -Introduction to Rational Expressions and Functions

2. -Multiplication and Division of Rational Expressions

3. -Addition and Subtraction of Rational Expressions

4. -Rational Equations

5. -Complex Fractions

6. -Modeling with Proportions and Variation

Chapter 7:    Radical Expressions and Functions

1. -Radical Expressions and Rational Exponents

6. -Complex Numbers

Chapter 8:    Quadratic Functions and Equations

1. -Quadratic Functions and Their Graphs

2. -Parabolas and Modeling

Sample Solutions by Topics

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Sample Solutions for Tests

Test 1:  Chapter 1, 2 and 3

Test 2: Chapter 4 and Chapter 5

Test 3: Chapter 6 and Chapter 7

Test 4:  Chapter 8

Acknowledgements:

A special thank you goes to my students for all their valuable comments and suggestions.  Many thanks to Parul Patel, Antoinette Durden and Kelly Fenton for allowing me to use their work as sample solutions.

~ Dr. Agatha Shaw Home > Intermediate Algebra > exemplary student work