Introductory Algebra, 3rd Edition

R Reference

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

1 The Set of Real Numbers

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

2 Linear Equations and Inequalities

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

3 Graphing Linear Equations in Two Variables

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

4 Systems of Linear Equations in Two Variables

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

5 Polynomials and Properties of Exponents

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

6 Factoring Polynomials

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

7 Rational Expressions and Equations

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

8 Radicals

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

9 More Quadratic Equations

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

Additional Topics Appendix

A.1 Converting Units of Measurement