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Table of Contents
0. Basic Concepts
0.1 Simplifying Fractions
0.2 Adding and Subtracting Fractions
0.3 Multiplying and Dividing Fractions
0.4 Using Decimals
0.5 Percents, Rounding, and Estimating
0.6 Using the Mathematics Blueprint for Problem Solving
Career Explorations
Chapter 0 Organizer
Chapter 0 Review Problems
Chapter 0 Test
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1. Real Numbers and Variables
11 Adding Real Numbers
1.2 Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 Exponents
1.5 The Order of Operations
1.6 Using the Distributive Property to Simplify Algebraic Expressions
1.7 Combining Like Terms
1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas
1.9 Grouping Symbols
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Chapter 1 Organizer
Chapter 1 Review Problems
Chapter 1 Test
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2. Equations, Inequalities, and Applications
2.1 The Addition Principle of Equality
2.2 The Multiplication Principle of Equality
2.3 Using the Addition and Multiplication Principles Together
2.4 Solving Equations with Fractions
2.5 Translating English Phrases into Algebraic Expressions
2.6 Using Equations to Solve Word Problems
2.7 Solving Word Problems: The Value of Money and Percents
2.8 Solving Inequalities in One Variable
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Chapter 2 Organizer
Chapter 2 Review Problems
Chapter 2 Test
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3. Graphing and Functions
3.1 The Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 The Slope of a Line
3.4 Writing the Equation of a Line
3.5 Graphing Linear Inequalities
3.6 Functions
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Chapter 3 Organizer
Chapter 3 Review Problems
Chapter 3 Test
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4. Systems of Linear Equations and Inequalities
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables
4.3 Applications of Systems of Linear Equations
4.4 Systems of Linear Inequalities
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Chapter 4 Organizer
Chapter 4 Review Problems
Chapter 4 Test
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5. Exponents and Polynomials
5.1 The Rules of Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Fundamental Polynomial Operations
5.4 Multiplying Polynomials
5.5 Multiplication: Special Cases
5.6 Dividing Polynomials
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Chapter 5 Organizer
Chapter 5 Review Problems
Chapter 5 Test
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6. Factoring
6.1 Removing a Common Factor
6.2 Factoring by Grouping
6.3 Factoring Trinomials of the Form x2 + bx + c
6.4 Factoring Trinomials of the Form ax2 + bx + c
6.5 Special Cases of Factoring
6.6 A Brief Review of Factoring
6.7 Solving Quadratic Equations by Factoring
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Chapter 6 Organizer
Chapter 6 Review Problems
Chapter 6 Test
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7. Rational Expressions and Equations
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions
7.4 Simplifying Complex Rational Expressions
7.5 Solving Rational Equations Involving Rational Expressions
7.6 Ratio, Proportion, and Other Applied Problems
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Chapter 7 Organizer
Chapter 7 Review Problems
Chapter 7 Test
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8. Rational Exponents and Radicals
8.1 Rational Exponents
8.2 Radical Expressions and Functions
8.3 Simplifying, Adding, and Subtracting Radicals
8.4 Multiplying and Dividing Radicals
8.5 Radical Equations
8.6 Complex Numbers
8.7 Variation
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Chapter 8 Organizer
Chapter 8 Review Problems
Chapter 8 Test
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9. Quadratic Equations and Inequalities
9.1 Quadratic Equations
9.2 The Quadratic Formula and Solutions to Quadratic Equations
9.3 Equations That Can Be Transformed Into Quadratic Form
9.4 Formulas and Applications
9.5 Quadratic Functions
9.6 Compound Inequalities and Quadratic Inequalities
9.7 Absolute Value Equations and Inequalities
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Chapter 9 Organizer
Chapter 9 Review Problems
Chapter 9 Test
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10. The Conic Sections
10.1 The Distance Formula and the Circle
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
10.5 Nonlinear Systems of Equations
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Chapter 10 Organizer
Chapter 10 Review Problems
Chapter 10 Test
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11. Additional Properties of Functions
11.1 Function Notation
11.2 General Graphing Procedures for Functions
11.3 Algebraic Operations on Functions
11.4 Inverse of a Function
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Chapter 10 Organizer
Chapter 10 Review Problems
Chapter Test
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12. Logarithmic and Exponential Functions
12.1 The Exponential Function
12.2 The Logarithmic Function
12.3 Properties of Logarithms
12.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms
12.5 Exponential and Logarithmic Equations
Career Explorations
Chapter 10 Organizer
Chapter 10 Review Problems
Chapter Test
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Get Beginning & Intermediate Algebra, 5th Edition by John Tobey, Jr., North Shore Community College Jeffrey Slater, North Shore Community College Jamie Blair, Orange Coast College Jenny Crawford
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