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Search Our College Algebra Lessons
College Algebra Scope & Sequence
Unit 1: Integers 001: Addition and Subtraction
    002: Multiplication and Division
    003: Order of Operations
Unit 2: Fractions 004: Addition and Subtraction
    005: Multiplication and Division
Unit 3: Exponents 006: The Product Rule
    007: The Power Rule
    008: The Quotient Rule
    009: Numerical Bases and Exponents of Zero
Unit 4: Polynomials 010: Distributive / Like Terms
    011: F.O.I.L.
    012: Advanced Problems
Unit 5: Beginning Factoring 013: Rules for Finding the G.C.F.
    014: Factoring Out the G.C.F.
    015: Special Trinomials with Positive Constant
    016: Special Trinomials with Negative Constant
    017: Difference of Two Squares
Unit 6: Advanced Factoring 018: Coefficient on x^2 Term, Positive Constant
    019: Coefficient on x^2 Term, Negative Constant
    020: Basic Technique
    021: Advanced Strategies
    022: Factoring Out G.C.F. as First Step
Unit 7: Rational Expressions 023: Simplifying Rational Expressions
    024: Multiplying and Dividing Rational Expressions
    025: Adding Rational Expressions
    026: Subtracting Rational Expressions
    027: Complex Fractions
Unit 8: Radicals 028: Simplifying Radicals
    029: Multiplying Radicals
    030: Dividing Radicals
    031: Addition and FOILing
    032: Advanced Division
Unit 9: Imaginary and Complex Numbers 033: Beginning Imaginary Numbers
    034: Advanced Imaginary Numbers
    035: Beginning Complex Numbers
    036: Advanced Complex Numbers
Unit 1: Equations 037: Two-Step Equations
    038: Equations with Fractions
    039: Variable on Both Sides
    040: Variable on Both Sides / Fractions
    041: Variable on Both Sides / Distributive
    042: Fractional Solutions
Unit 2: Formulas 043: Beginning Formulas
    044: Advanced Formulas
Unit 3: Word Problems 045: Consecutive Integer Problems
    046: Geometry Problems
    047: Interest Problems
    048: Mixture Problems
    049: Introductory Motion Problems
    050: Advanced Motion Problems
Unit 4: Polynomial Equations 051: Beginning Equations
    052: Intermediate Equations
    053: Advanced Equations
Unit 5: Rational Equations 054: Beginning Rational Equations
    055: Advanced Rational Equations
Unit 6: Radical Equations 056: Beginning Equations
    057: Advanced Equations
Unit 7: Completing The Square 058: Square Rooting Both Sides
    059: Beginning Completing The Square
    060: Advanced Completing The Square
Unit 8: Quadratic Formula 061: Beginning Quadratic Formula
    062: Advanced Quadratic Formula
    063: Using The Method of Your Choice
Unit 9: Inequalities 064: Solving and Graphing Inequalities
    065: Combined Inequalities
    066: Advanced Inequality Problems
Unit 10: Absolute Value 067: Absolute Value Equations
    068: Absolute Value Inequalities
Unit 1: Graphing 069: The Coordinate System
    070: Graphing Lines
    071: The Intercept Method
Unit 2: Slope 072: Using the Graph of a Line to Find Slope
    073: Using Coordinates to Find Slope
    074: Using Slope to Find Missing Coordinates
Unit 3: Slope-Intercept Form 075: Using Slope-Intercept Form to Graph a Line
    076: Converting to Slope-Intercept Form and Graphing
Unit 4: Writing Equations of Lines 077: Standard Form
    078: The Point-Slope Formula
    079: Given Two Points
    080: Parallel and Perpendicular
Unit 5: Functions 081: Domain and Range
    082: Definition of a Function
    083: Function and Arrow Notation
Unit 1: Beginning Quadratic Functions 084: Graphs of Quadratic Functions and Beginning Transformations
    085: Graphs of Quadratic Functions and Advanced Transformations
Unit 2: Parabolas 086: Understanding y - k = a(x - h)^2 Form
    087: Graphing Quadratic Equations in y - k = a(x - h)^2 Form
    088: Writing Quadratic Equations in y - k = a(x - h)^2 Form
Unit 3: Advanced Quadratic Functions 089: Graphing Quadratic Functions
    090: The Sum and Product of Roots Formula
    091: Writing Quadratic Functions
Unit 1: Solving Systems 092: By Graphing
    093: By Addition
    094: By Substitution
    095: Advanced Systems
Unit 2: Word Problems 096: Number and Value Problems
    097: Wind and Current Problems
Unit 1: Distance and Midpoint Formulas 107: Distance Formula
    108: Midpoint Formula
Unit 2: Equation of a Circle 109: Equation of a Circle
Unit 1: Negative Exponents 124: Negative Exponents
    125: Negative Exponent Rules
    126: Multiplying and Dividing with Negative Exponents
    127: Multiplying and Dividing Scientific Notation
Unit 2: Rational Exponents 128: Rational Exponents
    129: Fractional Exponents
    130: Writing Radicals in Exponential Form
    131: Solving Equations with Rational Exponents
    132: Radical Exponents
Unit 1: Composite Functions 133: Composite Functions: f(g(x)) and g(f(x))
Unit 2: Inverse Functions 134: Inverse Relations
    135: Inverse Functions
Unit 1: Logarithmic Functions 136: Logarithms and Logarithmic Functions
    137: Solving Logarithmic Equations
Unit 2: Logarithm Rules 138: Logarithm Rules and Properties
    139: Evaluating Logarithms by Condensing or Expanding
    140: Solving Advanced Log Equations
Unit 3: Using a Calculator with Logarithms 141: Log Calculator Problems
    142: Exponential Equations and Change of Base Formula
Unit 4: Logarithm Word Problems 143: Exponential Growth and Decay
    144: Half Life Formula and Doubling Time Formula
Unit 5: Natural Logarithms 145: Natural Logarithms
    146: Solving Natural Logarithm Equations with ln and e