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Algebra I Notes
Chapter 1
1-1 Variables
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1-2 Grouping Symbols
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1-3 Equations
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1-4 Translating Words into Symbols
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1-5 Translating Sentences into Equations
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1-6 Translating Problems into Equations
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1-7 A Problem Solving Plan
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1-8 Number Lines
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1-9 Opposites and Absolute Value
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Chapter 2
2-1 Basic Assumptions
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2-2 Addition on a Number Line
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2-3 Rules for Addition
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2-4 Subtracting Real Numbers
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2-5 The Distributive Property
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2-6 Rules for Multiplication
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2-7 Problem Solving: Consecutive Integers
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2-8 The Reciprocal of a Real Number
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2-9 Dividing Real Numbers
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Chapter 3
3-1 Transforming Equations: Addition and Subtraction
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3-2 Transforming Equations: Multiplication and Division
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3-3 Using Several Transformations
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3-4 Using Equations to Solve Problems
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3-5 Equations with the Variable on Both Sides
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3-6 Problem Solving: Using Charts
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3-7 Cost, Income, and Value Problems
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3-8 Proof in Algebra
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The remainder of the class notes will now be located on Angel (Lessons)
http://pcps.myelearning.org
Chapter 4
4-1 Exponents
4-2 Adding and Subracting Polynomials
4-3 Multiplying Monomials
4-4 Powers of Monomials
4-5 Multiplying Polynomials by Monomials
4-6 Multiplying Polynomials
4-7 Transforming Formulas
4-8 Rate-Time-Distance Problems
4-9 Area Problems
4-10 Problems Without Solutions
Chapter 5
5-1 Factoring Integers
5-2 Dividing Monomials
5-3 Monomial Factors of Polynomials
5-4 Multiplying Binomials Mentally
5-5 Differences of Two Squares
5-6 Squares of Binomials
5-7 Factoring Pattern for x^2 + bx + c, c positive
5-8 Factoring Pattern for x^2 + bx + c, c negative
5-9 Factoring Pattern for ax^2 + bx + c
5-10 Factoring by Grouping
5-11 Using Several Methods of Factoring
5-12 Solving Equations by Factoring
5-13 Using Factoring to Solve Problem
Chapter 6
6-1 Simplifying Fractions
6-2 Multiplying Fractions
6-3 Dividing Fractions
6-4 Least Common Denominators
6-5 Adding and Subtracting Fractions
6-6 Mixed Expressions
6-7 Polynomial Long Division
Chapter 7
7-1 Ratios
7-2 Proportions
7-3 Equations with Fractional Coefficients
7-4 Fractional Equations
7-5 Percents
7-6 Percent Problems
7-7 Mixture Problems
7-8 Work Problems
7-9 Negative Exponents
7-10 Scientific Notation
Chapter 8
8-1 Equations with Two Variables
8-2 Points, Lines, and Their Graphs
8-3 Slope of a Line
8-4 The Slope-Intercept Form of a Linear Equation
8-5 Determining an Equation of a Line
Extra Parallel and Perpendicular Lines
8-6 Functions Defined by Tables and Graphs
8-7 Functions Defined by Equations
8-8 Linear and Quadratic Functions
8-9 Direct Variation
8-10 Inverse Variation
Chapter 9
9-1 The Graphing Method
9-2 The Substitution Method
9-3 Solving Problems with Two Variables
9-4 The Addition-or-Subtraction Method
9-5 Multiplication with the Addition-or-Subtraction Method
9-6 Wind and Water Current Problems
9-7 Puzzle Problems
Chapter 10
10-1 Order of Real Numbers
10-2 Solving Inequalities
10-3 Solving Problems Involving Inequalities
10-4 Solving Combined Inequalities
10-5 Absolute Value in Open Sentences
10-6 Absolute Value of Products in Open Sentences
10-7 Graphing Linear Inequalities
10-8 Systems of Linear Inequalities
Chapter 11
11-1 Properties of Rational Numbers
11-2 Decimal Forms of Rational Numbers
11-3 Rational Square Roots
11-4 Irrational Square Roots
11-5 Square Roots of Variable Expressions
11-6 The Pythagorean Theorem
11-7 Multiplying, Dividing, and Simplifying Radicals
11-8 Adding and Subtracting Radicals
11-9 Multiplication of Binomials Containing Radicals
11-10 Simple Radical Equations
Chapter 12
12-1 Quadratic Equations with Perfect Squares
12-2 Completing the Square
12-3 The Quadratic Formula
12-4 Graphs of Quadratic Equations: The Discriminant
12-5 Methods of Solution
12-6 Solving Problems Involving Quadratic Equations
12-7 Direct and Inverse Variation Involving Squares
12-8 Joint and Combined Variation
Probability
Sample Spaces and Events
Probability
Statistics
Frequency Distributions
Presenting Statistical Data
Geometry
Points, Lines, and Angels
Pairs of Angles
Triangles
Similar Triangles
Trigonometry
Trigonometric Ratios
Values of Trigonometric Ratios
Problem Solving Using Trigonometry
This Page was last update: Wednesday, November 4, 2009 at 10:36:55 AM
This page was originally posted: 11/2/2007; 9:31:56 AM.
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