# Algebra 1

### Course Info

Table of Contents

### 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 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

• 9.1  Roots and Radicals
• 9.2  Simplifying Radicals
• 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
• 10.4  Graphing Quadratic Equations
• 10.5  Applications of Quadratic Equations
• 10.6  Complex Numbers
• 10.7  Relations, Functions, and Graphs

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• ### Algebra 1 – Full Course

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