Study Skills: Your Brain Can Learn Mathematics
R. Prealgebra Review
R.1 Fractions
R.2 Decimals and Percents
Study Skills: Using Your Textbook
1. The Real Number System
1.1 Exponents, Order of Operations, and Inequality
Study Skills: Homework: How, Why, When
1.2 Variables, Expressions, and Equations
Study Skills: Taking Lecture Notes
1.3 Real Numbers and the Number Line
Study Skills: Using Study Cards
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
Summary Exercises on Operations with Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Study Skills: Reviewing a Chapter
Summary ~ Review Exercises ~ Test
Study Skills: Preparing for Tests
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
Study Skills: Using Study Cards: Revisited
Summary Exercises 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
Summary Exercises on Solving Applied Problems
2.7 Solving Linear Inequalities
Study Skills: Managing Your Time
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
Study Skills: Taking Tests
3. Graphs of Linear Equations and Inequalities in Two Variables
3.1 Reading Graphs; Linear Equations in Two Variables
3.2 Graphing Linear Equations in Two Variables
3.3 Slope of a Line
3.4 Equations of Lines
Summary Exercises on Graphing Linear Equations
3.5 Graphing Linear Inequalities in Two Variables
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
Study Skills: Analyzing Your Test Results
4. Systems of 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
Summary Exercises on Solving Systems of Linear Equations
4.4 Applications of Linear Systems
4.5 Solving Systems of Linear Inequalities
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
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
Summary Exercises on the Rules for Exponents
5.6 Dividing a Polynomial by a Monomial
5.7 Dividing a Polynomial by a Polynomial
5.8 An Application of Exponents: Scientific Notation
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
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 Using FOIL
6.5 Special Factoring Techniques
Summary Exercises on Factoring
6.6 Solving Quadratic Equations by Factoring
6.7 Applications of Quadratic Equations
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
7. Rational Expressions and Applications
7.1 The Fundamental Property of Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
Study Skills: Making a Mind Map
7.3 Least Common Denominators
7.4 Adding and Subtracting Rational Expressions
7.5 Complex Fractions
7.6 Solving Equations with Rational Expressions
Summary Exercises on Operations and Equations with Rational Expressions
7.7 Applications of Rational Expressions
7.8 Variation
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
Study Skills: Preparing for a Final Exam
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
Summary Exercises on Operations with Radicals
8.6 Solving Equations with Radicals
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
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
Summary Exercises on Solving Quadratic Equations
9.4 Graphing Quadratic Equations
9.5 Introduction to Functions
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
Appendix A. Strategies for Problem Solving
Appendix B. Factoring Sums and Differences of Cubes
Answers to Selected Exercises
Solutions to Selected Exercises
Index
