Table of Contents
R. Prealgebra Review
R.2 Decimals and Percents
1. The Real Number System
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 Real Numbers
1.5 Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
2. Equations, Inequalities, and Applications
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 More on Solving Linear Equations
2.4 An Introduction to Applications of Linear Equations
2.5 Formulas and Additional Applications from Geometry
2.6 Ratio, Proportion, and Percent
2.7 Solving Linear Inequalities
3. Graphs of Linear Equations and Inequalities in Two Variables
3.1 Linear Equations in Two Variables; The Rectangular Coordinate System
3.2 Graphing Linear Equations in Two Variables
3.3 The Slope of a Line
3.4 Writing and Graphing Equations of Lines
3.5 Graphing Linear Inequalities in Two Variables
4. Systems of Linear Equations and Inequalities
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
5.1 Adding and Subtracting Polynomials
5.2 The Product Rule and Power Rules for Exponents
5.3 Multiplying Polynomials
5.4 Special Products
5.5 Integer Exponents and the Quotient Rule
5.6 Dividing a Polynomial by a Monomial
5.7 Dividing a Polynomial by a Polynomial
5.8 An Application of Exponents: Scientific Notation
6. Factoring and Applications
6.1 Factors; The Greatest Common Factor
6.2 Factoring Trinomials
6.3 Factoring Trinomials by Grouping
6.4 Factoring Trinomials by Using the FOIL Method
6.5 Special Factoring Techniques
6.6 Solving Quadratic Equations by Factoring
6.7 Applications of Quadratic Equations
7. Rational Expressions and Applications
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
8. Roots and Radicals
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
9.1 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 Equations9.5 Introduction to Functions
Appendix: Inductive and Deductive Reasoning
Answers to Selected Exercises
Solutions to Selected Exercises
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