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Contents
Study Skill 1: Using Your Math Text
Study Skill 2: Reading Your Math Text
Study Skill 3: Taking Lecture Notes
Study Skill 4: Completing Your Homework
Study Skill 5: Using Study Cards
Study Skill 6: Managing Your Time
Study Skill 7: Reviewing a Chapter
Study Skill 8: Taking Math Tests
Study Skill 9: Analyzing Your Test Results
Study Skill 10: Preparing for Your Math Final
R. Prealgebra Review
R.1 Fractions
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 and Subtracting Real Numbers
1.5 Multiplying and Dividing Real Numbers
Summary Exercises: Performing Operations with Real Numbers
1.6 Properties of Real Numbers
1.7 Simplifying Expressions
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Mixed Review Exercises
Chapter 1 Test
Chapters R and 1 Cumulative Review Exercises
2. Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Solving Linear Equations Using Both Properties of Equality
2.4 Clearing Fractions and Decimals When Solving Linear Equations
Summary Exercises: Applying Methods for Solving Linear Equations
2.5 Applications of Linear Equations
2.6 Formulas and Additional Applications from Geometry
2.7 Ratio, Proportion, and Percent
2.8 Further Applications of Linear Equations
2.9 Solving Linear Inequalities
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Mixed Review Exercises
Chapter 2 Test
Chapters R-2 Cumulative Review Exercises
3. Linear Equations in Two Variables
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
Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Mixed Review Exercises
Chapter 3 Test
Chapters R-3 Cumulative Review Exercises
4. Exponents and Polynomials
4.1 The Product Rule and Power Rules for Exponents
4.2 Integer Exponents and the Quotient Rule
Summary Exercises: Applying the Rules for Exponents
4.3 Scientific Notation
4.4 Adding, Subtracting, and Graphing Polynomials
4.5 Multiplying Polynomials
4.6 Special Products
4.7 Dividing Polynomials
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Mixed Review Exercises
Chapter 4 Test
Chapters R-4 Cumulative Review Exercises
5. Factoring and Applications
5.1 Greatest Common Factor; Factoring by Grouping
5.2 Factoring Trinomials
5.3 More on Factoring Trinomials
5.4 Special Factoring Techniques
Summary Exercises: Recognizing and Applying Factoring Strategies
5.5 Solving Quadratic Equations Using the Zero-Factor Property
5.6 Applications of Quadratic Equations
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Mixed Review Exercises
Chapter 5 Test
Chapters R-5 Cumulative Review Exercises
6. Rational Expressions and Applications
6.1 The Fundamental Property of Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Least Common Denominators
6.4 Adding and Subtracting Rational Expressions
6.5 Complex Fractions
6.6 Solving Equations with Rational Expressions
Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations
6.7 Applications of Rational Expressions
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Mixed Review Exercises
Chapter 6 Test
Chapters R-6 Cumulative Review Exercises
7. Linear Equations, Graphs, and Systems
7.1 Review of Graphs and Slopes of Lines
7.2 Review of Equations of Lines; Linear Models
7.3 Solving Systems of Linear Equations by Graphing
7.4 Solving Systems of Linear Equations by Substitution
7.5 Solving Systems of Linear Equations by Elimination
Summary Exercises: Applying Techniques for Solving Systems of Linear Equations
7.6 Systems of Linear Equations in Three Variables
7.7 Applications of Systems of Linear Equations
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Mixed Review Exercises
Chapter 7 Test
Chapters R-7 Cumulative Review Exercises
8. Inequalities and Absolute Value
8.1 Review of Linear Inequalities in One Variable
8.2 Set Operations and Compound Inequalities
8.3 Absolute Value Equations and Inequalities
Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities
8.4 Linear Inequalities and Systems in Two Variables
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Mixed Review Exercises
Chapter 8 Test
Chapters R-8 Cumulative Review Exercises
9. Relations and Functions
9.1 Introduction to Relations and Functions
9.2 Function Notation and Linear Functions
9.3 Polynomial Functions, Operations, and Composition
9.4 Variation
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Mixed Review Exercises
Chapter 9 Test
Chapters R-9 Cumulative Review Exercises
10. Roots, Radicals, and Root Functions
10.1 Radical Expressions and Graphs
10.2 Rational Exponents
10.3 Simplifying Radicals, the Distance Formula, and Circles
10.4 Adding and Subtracting Radical Expressions
10.5 Multiplying and Dividing Radical Expressions
Summary Exercises: Performing Operations with Radicals and Rational Exponents
10.6 Solving Equations with Radicals
10.7 Complex Numbers
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Mixed Review Exercises
Chapter 10 Test
Chapters R-10 Cumulative Review Exercises
11. Quadratic Equations, Inequalities, and Functions
11.1 Solving Quadratic Equations by the Square Root Property
11.2 Solving Quadratic Equations by Completing the Square
11.3 Solving Quadratic Equations by the Quadratic Formula
11.4 Equations That Lead to Quadratic Methods
Summary Exercises: Applying Methods for Solving Quadratic Equations
11.5 Formulas and Further Applications
11.6 Graphs of Quadratic Functions
11.7 More about Parabolas and Their Applications
11.8 Polynomial and Rational Inequalities
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Mixed Review Exercises
Chapter 11 Test
Chapters R-11 Cumulative Review Exercises
12. Inverse, Exponential, and Logarithmic Functions
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithms
12.5 Common and Natural Logarithms
12.6 Exponential and Logarithmic Equations; Further Applications
Chapter 12 Summary
Chapter 12 Review Exercises
Chapter 12 Mixed Review Exercises
Chapter 12 Test
Chapters R-12 Cumulative Review Exercises
13. Nonlinear Functions, Conic Sections, and Nonlinear Systems
13.1 Additional Graphs of Functions
13.2 Circles Revisited and Ellipses
13.3 Hyperbolas and Functions Defined by Radicals
13.4 Nonlinear Systems of Equations
13.5 Second-Degree Inequalities and Systems of Inequalities
Chapter 13 Summary
Chapter 13 Review Exercises
Chapter 13 Mixed Review Exercises
Chapter 13 Test
Chapters R-13 Cumulative Review Exercises
14. Further Topics in Algebra
14.1 Sequences and Series
14.2 Arithmetic Sequences
14.3 Geometric Sequences
14.4 The Binomial Theorem
Chapter 14 Summary
Chapter 14 Review Exercises
Chapter 14 Mixed Review Exercises
Chapter 14 Test
Chapters R-14 Cumulative Review Exercises
