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Search Our Introductory Algebra Lessons
Introductory Algebra Scope & Sequence
CHAPTER 1: INTRODUCTION TO ALGEBRA 
Unit 1: Whole Numbers 001: Exponents
    002: Order of Operations
    003: Variables
Unit 2: Integers and the Number Line 004: Graphing and Writing Integers
    005: Comparing Integers
    006: Opposites and Absolute Value
Unit 3: Integer Operations 007: Addition and Subtraction
    008: Multiplication and Division
    009: Word Problems
Unit 4: Factors 010: Factors and Primes
    011: Prime Factorization
    012: Greatest Common Factor
    013: Lowest Terms
Unit 5: Fractions 014: Least Common Multiple
    015: Addition and Subtraction
    016: Multiplication and Division
Unit 6: Simplifying with Variables 017: Combining Like Terms
    018: Distributive Property
    019: Distributive / Like Terms
CHAPTER 2: LINEAR EQUATIONS & INEQUALITIES 
Unit 1: Beginning Equations 020: One-Step Equations
    021: Two-Step Equations
    022: Equations with Fractions
    023: Equations Involving Distributive
Unit 2: Advanced Equations 024: Variable on Both Sides
    025: Variable on Both Sides / Fractions
    026: Variable on Both Sides / Distributive
    027: Equations with Decimals
Unit 3: Writing Equations 028: Writing and Solving Equations
    029: Modeling Two-Step Equations
Unit 4: Beginning Word Problems 030: Number Problems
    031: Consecutive Integer Problems
    032: Geometry Problems
    033: Percent Problems
Unit 5: Advanced Word Problems 034: Beginning Motion Problems
    035: Mixture Problems
Unit 6: Formulas 036: Beginning Formulas
Unit 7: Inequalities 037: Introduction to Inequalities
    038: Solving Inequalities
    039: Solving and Graphing Inequalities
    040: Combined Inequalities
    041: Advanced Inequality Problems
CHAPTER 3: GRAPHING EQUATIONS 
Unit 1: Graphing 042: The Coordinate System
    043: Scatterplots and Trends
    044: Graphing within a Given Domain
    045: Graphing Lines
    046: The Intercept Method
    047: Graphing Inequalities in Two Variables
Unit 2: Slope 048: Using the Graph of a Line to Find Slope
    049: Using Slope to Graph a Line
    050: Using Coordinates to Find Slope
Unit 3: Slope-Intercept Form 051: Using Slope-Intercept Form to Graph a Line
    052: Converting to Slope-Intercept Form and Graphing
    053: Using Graphs and Slope-Intercept Form
    054: Using Tables and Slope-Intercept Form
Unit 4: Functions 055: Domain and Range
    056: Definition of a Function
    057: Function and Arrow Notation
Unit 5: Direct and Inverse Variation 058: Direct Variation
    059: Inverse Variation
CHAPTER 4: SYSTEMS OF EQUATIONS 
Unit 1: Solving Systems 060: By Graphing
    061: By Addition
    062: By Substitution
Unit 2: Word Problems 063: Number and Value Problems
    064: Wind and Current Problems
CHAPTER 5: EXPONENTS & POLYNOMIALS 
Unit 1: Scientific Notation 065: Converting from Scientific to Standard Notation
    066: Converting from Standard to Scientific Notation
Unit 2: Exponent Rules 067: The Product Rule
    068: The Power Rule
    069: The Quotient Rule
Unit 3: Advanced Exponent Problems 070: Numerical Bases and Exponents of Zero
    071: Combining Exponent Rules
Unit 4: Multiplying Polynomials 072: The Distributive Property
    073: F.O.I.L.
CHAPTER 6: FACTORING 
Unit 1: Greatest Common Factor 074: Rules for Finding the G.C.F.
    075: Factoring Out the G.C.F.
Unit 2: Factoring Special Polynomials 076: Special Trinomials with Positive Constant
    077: Special Trinomials with Negative Constant
    078: Difference of Two Squares
Unit 3: Advanced Trinomial Factoring 079: Coefficient on x^2 Term, Positive Constant
    080: Coefficient on x^2 Term, Negative Constant
Unit 4: Factoring Completely 081: Factoring by Grouping
    082: Factoring Out G.C.F. as First Step
Unit 5: Polynomial Equations 083: Beginning Equations
    084: Intermediate Equations
CHAPTER 7: RATIONAL EXPRESSIONS & EQUATIONS 
Unit 1: Beginning Rational Expressions 085: Simplifying Rational Expressions
    086: Multiplying and Dividing Rational Expressions
Unit 2: Advanced Rational Expressions 087: Adding Rational Expressions
    088: Subtracting Rational Expressions
Unit 3: Rational Equations 089: Beginning Rational Equations

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