# Algebra 1

### Chapter 1 - THE REAL NUMBER SYSTEM

• 1.1 Real Numbers: Order and Absolute Value
• 1.2 Adding and Subtracting Integers
• 1.3 Multiplying and Dividing Integers
• 1.4 Operations with Rational Numbers
• 1.5 Exponents, Order of Operations, and Properties of Real Numbers

### Chapter 2 - FUNDAMENTALS OF ALGEBRA

• 2.1 Writing and Evaluating Algebraic Expressions
• 2.2 Simplifying Algebraic Expressions
• 2.3 Algebra and Problem Solving
• 2.4 Introduction to Equations

### Chapter 3 - LINEAR EQUATIONS AND PROBLEM SOLVING

• 3.1 Solving Linear Equations
• 3.2 Equations that Reduce to Linear Form
• 3.3 Problem Solving with Percents
• 3.4 Ratios and Proportions
• 3.5 Geometric and Scientific Applications
• 3.6 Linear Inequalities

### Chapter 4 - EQUATIONS AND INEQUALITIES IN TWO VARIABLES

• 4.1 Ordered Pairs and Graphs
• 4.2 Graphs of Equations in Two Variables
• 4.3 Slope and Graphs of Linear Equations
• 4.4 Equations of Lines
• 4.5 Graphs of Linear Inequalities

### Chapter 5 - EXPONENTS AND POLYNOMIALS

• 5.1 Negative Exponents and Scientific Notation
• 5.2 Adding and Subtracting Polynomials
• 5.3 Multiplying Polynomials: Special Products
• 5.4 Dividing Polynomials

### Chapter 5 - EXPONENTS AND POLYNOMIALS

• 5.1 Negative Exponents and Scientific Notation
• 5.2 Adding and Subtracting Polynomials
• 5.3 Multiplying Polynomials: Special Products
• 5.4 Dividing Polynomials

### Chapter 6 - FACTORING AND SOLVING EQUATIONS

• 6.1 Factoring Polynomials with Common Factors
• 6.2 Factoring Trinomials
• 6.3 More About Factoring Trinomials
• 6.4 Factoring Polynomials with Special Forms
• 6.5 Solving Quadratic Equations by Factoring

### Chapter 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 Complex Fractions
• 7.5 Rational Equations and Applications

### Chapter 8 - SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

• 8.1 Solving Systems of Equations by Graphing
• 8.2 Solving Systems of Equations by Substitution
• 8.3 Solving Systems of Equations by Elimination
• 8.4 Applications of Systems of Linear Equations
• 8.5 Systems of Linear Inequalities

### Chapter 9 - RADICAL EXPRESSIONS AND EQUATIONS

• 9.3 Operations with Radical Expressions
• 9.4 Radical Equations and Applications

### Chapter 10 - QUADRATIC EQUATIONS AND FUNCTIONS

• 10.1 Solution by the Square Root Property
• 10.2 Solution by Completing the Square
• 10.3 Solution by the Quadratic Formula
• 10.5 Applications of Quadratic Equations
• 10.6 Complex Numbers
• 10.7 Relations, Functions, and Graphs

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