Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

A native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.

R. Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

1. The Real Number System

1. R

• Identify the place value of a digit
• Write decimals as fractions or mixed numbers
• Add and subtract negative decimals
• Multiply positive and negative decimals
• Divide a number by a decimal
• Write fractions as equivalent decimals

1.1 Exponents, Order of Operations, and Inequality

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

1.4 Adding and Subtracting Real Numbers

1.5 Multiplying and Dividing Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

2. Linear Equations and Inequalities in One Variable

2. R

• Identify variables, constants, and expressions
• Use the distributive property to multiply
• Translate word phrases into algebraic expressions
• Write percents as decimals
• Write decimals as percents.
• Write percents as fractions
• Write fractions as percents
• Solve applications of percent
• Graph numbers on a number line
• Use the < and > symbols to compare integers

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

2.4 Applications of Linear Equations

2.5 Formulas and Additional Applications from Geometry

2.6 Ratio, Proportion, and Percent

2.7 Further Applications of Linear Inequalities

2.8 Solving Linear Inequalities

3. Linear Equations and Inequalities in Two Variables; Functions

3.1 Linear Equations and Rectangular Coordinates

3.2 Graphing Linear Equations in Two Variables

3.3 The Slope of a Line

3.4 Slope-Intercept Form of a Linear Equation

3.5 Point-Slope Form of a Linear Equation and Modeling

3.6 Graphing Linear Inequalities in Two Variables

3.7 Introduction to Functions

4. Systems of Linear Equations and Inequalities

4. R

• Evaluate an expression when values of the variables are given
• Determine whether a number is a solution of an equation
• 4.1 Solving Systems of Linear Equations by Graphing
• 4.2 Solving Systems of Linear Equations by Substitution
• 4.3 Solving Systems of Linear Equations by Elimination
• 4.4 Applications of Linear Systems
• 4.5 Solving Systems of Linear Inequalities

5. Exponents and Polynomials

5. R

• Review the use of exponents
• Decide whether an expression gives a positive or negative result

5.1 The Product Rule and Power Rules for Exponents

5.2 Integer Exponents and the Quotient Rule

5.3 Scientific Notation

5.4 Adding, Subtracting, and Graphing Polynomials

5.5 Multiplying Polynomials

5.6 Special Products

5.7 Dividing a Polynomials

6. Factoring and Applications

6. R

• Find prime factorizations
• Multiply a monomial and a polynomial
• Multiply two polynomials

6.1 The Greatest Common Factor; Factoring by Grouping

6.2 Factoring Trinomials

6.3 More on Factoring Trinomials

6.4 Special Factoring Techniques

6.5 Solving Quadratic Equations Using the Zero-Factor Property

6.6 Applications of Quadratic Equations

7. Rational Expressions and Applications

7. R

• Write a fraction in lowest terms using a common factor
• Multiply signed fractions
• Divide signed fractions
• Add and subtract unlike fractions
• Rewrite mixed numbers as improper fractions, or the reverse
• Solve application problems containing mixed numbers

7.1 The Fundamental Property of Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions       

7.7 Applications of Rational Expressions

7.8 Variation

8. Roots and Radicals

8. R

• Use exponents to write repeated factors   
• Simplify expressions containing exponents
• Review combining like terms

8.1 Evaluating Roots

8.2 Multiplying, Dividing, and Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Rationalizing the Denominator

8.5 More Simplifying and Operations with Radicals

8.6 Solving Equations with Radicals

9. Quadratic Equations

9. R

• Simplify equations before using the addition property of equality
• Simplify equations before using the division property of equality
• Solve equations using the distributive, addition, and division properties

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

9.4 Graphing Quadratic Equations

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