Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob’s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to his Developmental Algebra Series, Bob has written textbooks covering college algebra, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Pearson Education. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore, and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.

Note that the topics listed within each chapter below are objectives available in MyMathLab only, not in the textbook. For each of these objectives, there is just-in-time remediation in the form of videos, worksheets, practice, and assessment in the Integrated Review MyMathLab course only.

Chapter 1: Variables, Real Numbers, and Mathematical Models

1.1  Introduction to Algebra: Variables and Mathematical Models

1.2  Fractions in Algebra

1.3  The Real Numbers

1.4  Basic Rules of Algebra

1.5  Addition of Real Numbers

1.6  Subtraction of Real Numbers

1.7  Multiplication and Division of Real Numbers

1.8  Exponents and Order of Operations

Chapter 2: Linear Equations and Inequalities in One Variable

2.R

• Perform conversions among percents, decimals, and fractions
• Graph numbers on a number line
• Understand and use inequality symbols

2.1  The Addition Property of Equality

2.2  The Multiplication Property of Equality

2.3  Solving Linear Equations

2.4  Formulas and Percents

2.5  An Introduction to Problem Solving

2.6  Problem Solving in Geometry

2.7  Solving Linear Inequalities

Chapter 3: Linear Equations and Inequalities in Two Variables

3.R

• Evaluate algebraic expressions
• Determine whether a number is a solution of an equation

3.1  Graphing Linear Equations in Two Variables

3.2  Graphing Linear Equations Using Intercepts

3.3  Slope

3.4  The Slope-Intercept Form of the Equation of a Line

3.5  The Point-Slope Form of the Equation of a Line

3.6  Linear Inequalities in Two Variables

Chapter 4: Systems of Linear Equations and Inequalities

4.R

• Determine whether an ordered pair is a solution of an equation

4.1  Solving Systems of Linear Equations by Graphing

4.2  Solving Systems of Linear Equations by the Substitution Method

4.3  Solving Systems of Linear Equations by the Addition Method

4.4  Problem Solving Using Systems of Equations

4.5  Systems of Linear Inequalities

Chapter 5: Exponents and Polynomials

5.R

• Write repeated multiplication in exponential notation
• Evaluate exponential expressions

5.1  Adding and Subtracting Polynomials

5.2  Multiplying Polynomials

5.3  Special Products

5.4  Polynomials in Several Variables

5.5  Dividing Polynomials

5.6  Dividing Polynomials by Binomials

5.7  Negative Exponents and Scientific Notation

Chapter 6: Factoring Polynomials

6.R

• Write the prime factorization of a number
• Multiply a monomial and a polynomial
• Use FOIL in polynomial multiplication

6.1  The Greatest Common Factor and Factoring by Grouping

6.2  Factoring Trinomials Whose Leading Coefficient is 1

6.3  Factoring Trinomials Whose Leading Coefficient is Not 1

6.4  Factoring Special Forms

6.5  A General Factoring Strategy

6.6  Solving Quadratic Equations by Factoring

Chapter 7: Rational Expressions

7.R

• Reduce or simplify fraction
• Multiply fractions
• Divide fractions
• Add and subtract fractions with identical denominators
• Add and subtract fractions with unlike denominators

7.1  Rational Expressions and Their Simplification

7.2  Multiplying and Dividing Rational Expressions

7.3  Adding and Subtracting Rational Expressions with the Same Denominator

7.4  Adding and Subtracting Rational Expressions with Different Denominators

7.5  Complex Rational Expressions

7.6  Solving Rational Equations

7.7  Applications Using Rational Equations and Proportions

7.8  Modeling Using Variation

Chapter 8: Roots and Radicals

8.R

• Combine like terms

8.1  Finding Roots

8.2  Multiplying and Dividing Radicals

8.3  Operations with Radicals

8.4  Rationalizing the Denominator

8.5  Radical Equations

8.6  Rational Exponents

Chapter 9: Quadratic Equations and Introduction to Functions

9.R

• Use point plotting to graph linear equations
• Solve quadratic equations by factoring

9.1  Solving Quadratic Equations by the Square Root Property

9.2  Solving Quadratic Equations by Completing the Square

9.3  The Quadratic Formula

9.4  Imaginary Numbers as Solutions of Quadratic Equations

9.5  Graphs of Quadratic Equations

9.6  Introduction to Functions

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