Jeffrey Slater
Table of Contents
1. Real Numbers and Variables
1.1 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
Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
Math Coach
2. Equations and Inequalities
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. Formulas
2.6 Solving Inequalities in One Variable
Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
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3. Solving Applied Problems
3.1 Translating English Phrases into Algebraic Expressions
3.2 Using Equations to Solve Word Problems
3.3 Solving Word Problems: Comparisons
3.4 Solving Word Problems: The Value of Money and Percents
3.5 Solving Word Problems Using Geometric Formulas
3.6 Using Inequalities to Solve Word Problems
Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
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4. Exponents and Polynomials
4.1 The Rules of Exponents
4.2 Negative Exponents and Scientific Notation
4.3 Fundamental Polynomial Operations
4.4 Multiplying Polynomials
4.5 Multiplication: Special Cases
4.6 Dividing Polynomials
Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
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5. Factoring
5.1 Removing a Common Factor
5.2 Factoring by Grouping
5.3 Factoring Trinomials of the Form x2 + bx + c
5.4 Factoring Trinomials of the Form ax2 + bx+ c
5.5 Special Cases of Factoring
5.6. A Brief Review of Factoring
5.7 Solving Quadratic Equations by Factoring
Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
Math Coach
6. Rational Expressions and Equations
6.1 Simplifying Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Simplifying Complex Rational Expressions
6.5 Solving Equations Involving Rational Expressions
6.6 Ratio, Proportion, and Other Applied Problems
Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
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7. Graphing and Functions
7.1 The Rectangular Coordinate System
7.2 Graphing Linear Equations
7.3 The Slope of a Line
7.4 Writing the Equation of a Line
7.5 Graphing Linear Inequalities
7.6 Functions
Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
Math Coach
8. Systems of Equations
8.1 Solving a System of Equations in Two Variables by Graphing
8.2 Solving a System of Equations in Two Variables by the Substitution Method
8.3 Solving A System of Equations in Two Variables by the Addition Method
8.4 Review of Methods for Solving Systems of Equations
8.5 Solving Word Problems Using Systems of Equations
Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
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9. Radicals
9.1 Square Roots
9.2 Simplifying Radical Expressions
9.3 Adding and Subtracting Radical Expressions
9.4 Multiplying Radical Expressions
9.5 Dividing Radical Expressions
9.6 The Pythagorean Theorem and Radical Equations
9.7 Word Problems Involving Radicals: Direct and Inverse Variation
Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
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10. Quadratic Equations
10.1 Introduction to Quadratic Equations
10.2 Using the Square Root Property and Completing the Square to Find Solutions
10.3 Using the Quadratic Formula to Find Solutions
10.4 Graphing Quadratic Equations
10.5 Formulas and Applied Problems
Chapter 10 Organizer
Chapter 10 Review Problems
How Am I Doing? Chapter 10 Test
Math Coach
