Introductory Algebra, 3rd Edition

RReference

R.1Study Tips R.2Fractions R.3Decimals and Percents R.4Introduction to Geometry

1The Set of Real Numbers

1.1Introduction to Algebra and the Set of Real Numbers 1.2Exponents, Square Roots, and the Order of Operations 1.3Addition of Real Numbers 1.4Subtraction of Real Numbers PRE: Addition and Subtraction of Real Numbers 1.5Multiplication and Division of Real Numbers 1.6Properties of Real Numbers and Simplifying Expressions Group Activity: Evaluating Formulas Using a Calculator

2Linear Equations and Inequalities

2.1Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2Solving Linear Equations 2.3Linear Equations: Clearing Fractions and Decimals PRE: Equations and Expressions 2.4Applications of Linear Equations:Introduction to Problem Solving 2.5Applications Involving Percents 2.6Literal Equations and Applications of Geometry 2.7Mixture Applications and Uniform Motion 2.8Linear Inequalities Group Activity: Computing Body Mass Index (BMI)

3Graphing Linear Equations in Two Variables

3.1Rectangular Coordinate System 3.2Linear Equations in Two Variables 3.3Slope of a Line and Rate of Change 3.4Slope-Intercept Form of a Linear Equation PRE: Linear Equations in Two Variables 3.5Point-Slope Formula 3.6Applications of Linear Equations and Modeling Group Activity: Modeling a Linear Equation

4Systems of Linear Equations in Two Variables

4.1Solving Systems of Equations by the Graphing Method 4.2Solving Systems of Equations by the Substitution Method 4.3Solving Systems of Equations by the Addition Method PRE: Systems of Equations 4.4Applications of Linear Inequalities in Two Variables 4.5Linear Inequalities and Systems of Inequalities in Two Variables Group Activity: Creating Linear Models from Data

5Polynomials and Properties of Exponents

5.1Multiplying and Dividing Expressions with Common Bases 5.2More Properties of Exponents 5.3Definitions of b^0 and b^-n PRE: Properties of Exponents 5.4Scientific Notation 5.5Addition and Subtraction of Polynomials 5.6Multiplication of Polynomials and Special Products 5.7Division of Polynomials PRE: Operations on Polynomials Group Activity: The Pythagorean Theorem and a Geometric 'Proof'

6Factoring Polynomials

6.1Greatest Common Factor and Factoring by Grouping 6.2Factoring Trinomials of the Form x^2 + bx + c 6.3Factoring Trinomials: Trial and Error Method 6.4Factoring Trinomials: A-C Method 6.5Difference of Squares and Perfect Square Trinomials 6.6Sum and Difference of Cubes PRE: Factoring Strategy 6.7Solving Equations Using the Zero Product Rule PRE: Polynomial Expressions versus Polynomial Equations 6.8Applications of Quadratic Equations Group Activity: Building a Factoring Test

7Rational Expressions and Equations

7.1Introduction to Rational Expressions 7.2Multiplication and Division of Rational Expressions 7.3Least Common Denominator 7.4Addition and Subtraction of Rational Expressions PRE: Operations on Rational Expressions 7.5Complex Fractions 7.6Rational Equations PRE: Comparing Rational Equations and Rational Expressions 7.7Applications of Rational Equations and Proportions 7.8Variation Group Activity: Computing Monthly Mortgage Payments

8Radicals

8.1Introduction to Roots and Radicals 8.2Simplifying Radicals 8.3Addition and Subtraction of Radicals 8.4Multiplication of Radicals 8.5Division of Radicals and Rationalization PRE: Operations on Radicals 8.6Radicals Equations 8.7Rational Exponents Group Activity: Calculating Standard Deviation

9More Quadratic Equations

9.1The Square Root Property 9.2Completing the Square 9.3Quadratic Formula PRE: Solving Different Types of Equations 9.4Graphing Quadratic Equations 9.5Introduction to Functions Group Activity: Maximizing Volume

Additional Topics Appendix

A.1Converting Units of Measurement