Algebra 1
Students are required to read and take notes on each section assigned.

Sections:

• 1.1 Symbols and Expressions
• 1.2  The Commutative and Identity Properties
• 1.3  Exponential Notation
• 1.4  The Associative Properties
• 1.5  The Distributive Property of Multiplication over Addition
• 1.6  Writing Expressions
• 1.7  Solving Equations: An Introduction
• 1.8  Reasoning Strategies: Draw a Diagram
• 1-9 Using Formulas
• 1-10 Reasoning Strategies: Try, Test, Revise 

Chapter Two:  Integers and Rational Numbers

Sections:

• 2.1  Integers and the Number Line
• 2.2  Rational Numbers
• 2.3  Addition of Rational Numbers
• 2.4  Subtraction of  Rational Numbers
• 2.5  Multiplication of Rational  Numbers
• 2.6  Division of Rational  Numbers
• 2.7  Using the Distributive Property
• 2.8  Inverse of a Sum and Simplifying
• 2.9  Writing Equations
• 2.10  Number Properties and Proof

Chapter Three: Equations

Sections:

• 3.1  Addition Property of Equality
• 3.2  Multiplication Property of Equality
• 3.3  Using the Properties Together
• 3.4  Expressions and Equations
• 3.5  More on Solving Equations
• 3.6  Clearing an Equation of Fractions or Decimals
• 3.7  Formulas
• 3.8 Solving Equations Involving Absolute Value
• 3-9 Proportions
• 3-10 Using Percent
• 3-11 More Expressions and Equations
• 3-12 Reasoning Strategies: Make an Organized List

Chapter Four:  Inequalities

Sections:

• 4.1  Inequalities and Their Graph
• 4.2  The Addition Property of Inequalities
• 4.3  The Multiplication Property of Inequalities  
• 4.4  Using the Properties Together
• 4.5  Using Inequalities
• 4.6  Reasoning Strategies: Use Logical Reasoning

Sections:

• 5.1  Exponents
• 5.2  More with Exponents  
• 5.3  Multiplying and Dividing Monomials
• 5.4  Scientific Notation
• 5.5  Polynomials
• 5.6  More on Polynomials
• 5.7  Addition of Polynomials
• 5-8 Subtraction of Polynomials
• 5-9 Multiplication of Monomials and Binomials
• 5-10 Multiplying Binomials: Special Products
• 5-11 Multiplying Polynomials
• 5-12 Reasoning Strategies: Make a Table, Look for a Pattern

Chapter Six:  Polynomials and Factoring

Sections:

• 6.1  Factoring Polynomials
• 6.2  Differences of Two Squares
• 6.3  Trinomial Squares
• 6.4  Factoring x² + bx + c
• 6.5  Factoring ax² +bx + c
• 6.6  Factoring by grouping
• 6.7  Factoring: A General Strategy
• 6.8  Solving Equations by Factoring
• 6.9  Using Equations that Factor

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Chapter Seven: Graphs and Linear Equations

Sections:

• 7.1  Graphing Ordered Pairs
• 7.2  Graphing Equations
• 7.3  Linear Equations and Their Graphs
• 7.4  Slope
• 7.5  Equations and Slope
• 7.6  Finding the Equation of a Line
• 7.7  Fitting Equations to Data
• 7.8  Parallel and Perpendicular Lines
• 7.9  Proofs
• 7-10 Reasoning Strategies: Simplify the Problem

Chapter Eight: Systems of Equations

Sections:

• 8.1  Solving Systems of Equations by Graphing
• 8.2  The Substitution Method
• 8.3  The Addition Method
• 8.4  Using Systems of Equations
• 8.5  Motion Problems
• 8.6  Digit and Coin Problems

Chapter Nine:  Inequalities and Absolute Values

• 9.1  Sets, Intersections, and Unions
• 9.2  Compound Sentences
• 9.3  Equations and Absolute Value
• 9.4  Inequalities and Absolute Value
• 9.5  Inequalities in Two Variables
• 9.6  Graphing Systems of Linear Inequalities

Chapter Ten:  Relations, Functions, and Variations

• 10.1  Simplifying Rational Expressions
• 10.2  Multiplying Rational Expressions
• 10.3  Dividing Rational Expressions
• 10.4  Addition and Subtraction: Like Denominators
• 10.5  Addition and Subtraction: Unlike Denominators
• 10.6  Solving Rational Equations
• 10.7  Using Rational Equations
• 10-8 Mixture Problems
• 10-9 Dividing Polynomials
• 10-10 Complex Rational Expressions
• 10-11 Proofs
• 10-12 Reasoning Strategies: Work Backward

Chapter Eleven:  Radical Expressions and Equations

• 11.1  Real Numbers
• 11.2  Radical Expressions
• 11.3  Simplifying Radical Expressions
• 11.4  Multiplying Radical Expressions
• 11.5  Dividing and Simplifying
• 11-6 Addition and Subtraction
• 11-7 The Pythagorean Theorem
• 11-8 Using the Pythagorean Theorem
• 11-9 Equations with Radicals

Chapter12:  Relations and Functions

• 12.1  Relations and Functions
• 12.2  Functions and Graphs
• 12.3  Linear Functions
• 12.4  Quadratic Functions
• 12.5  Direct Variation
• 12.6  Inverse Variation
• 12.7  Joint and Combined Variation 

Chapter Thirteen: Quadratic Equations

• 13.1  Introduction to Quadratic Equations
• 13.2  More Solving Quadratic Equations
• 13.3  Solve by Completing the Square
• 13.4  The Quadratic Formula
• 13.5  Solving Rational Equations
• 13.6  Solving Radical Equations
• 13.7  Using Quadratic Equations