Algebra 8a Online	(c) 2008 by Tom Rona Lakeside School, Seattle

1. Linear Equations In One Variable

Assignment #1: Vocabulary Of Numbers And Numerals (Assignment, Video)

Assignment #2: The Real Numbers (Assignment, VideoA, VideoB)

Assignment #3: The Field Axioms (Assignment, VideoA, VideoB)

Assignment #4: Solving Equations (Assignment, Video)

Assignment #5: Special Cases (Assignment, Video)

Assignment #6: Find The Described Numbers (Assignment, Video)

Assignment #7: Comparison of Quantities (Assignment, Video)

Assignment #8: Consecutive Integers (Assignment, Video)

Assignment #9: Ages (Assignment, Video)

Assignment #10: Clocks (Assignment, Video)

Assignment #11: Mixed Costs (Assignment, Video)

Assignment #12: Mixed Solutions (Assignment, Video)

Assignment #13: Rate, Time, and Distance (Assignment, Video, Test Prep)

Assignment #14: Rate, Time, Amount of Work (Assignment, Video)

Assignment #15: Formula Solving (Assignment, Video, Video HW Hints)

2. Linear Inequalities In One Variable

Assignment #16: Inequalities (Assignment, Video, Video On Trains)

Assignment #17: Compound Inequalities (Assignment, Video)

Assignment #18: Absolute value Inequalities (Assignment, Video)

3. Linear Equations In Multiple Variables

Assignment #19: Solving by Adding Equations (Assignment, Video)

Assignment #20: Solving by Linear Combinations (Assignment, Video)

Assignment #21: Solving by Substitution (Assignment, Video)

Assignment #22: Solving In General. Inconsistent and Dependent Equations (Assignment, Video)

Assignment #23: Multivariable Comparison Of Quantities (Assignment, Video, 3X3 Combo, 3X3 Subtitution)

Assignment #24: Multivariable Rate, Time, And Distance (Assignment, Video)

Assignment #25: Multivariable Digit Problems (Assignment, Video, RTD Duck problem, 3X3 Cramers)

4. Higher Degree Equations In One Variable

Assignment #26: Vocabulary Of Higher Degree Equations and Expressions (Assignment, Video, Video with Rocky)

Assignment #27: Application of Exponent Rules (Assignment, Video, Digit Problems with Division, Drill)

Assignment #28: Distribution and Exponent Rules (Assignment, Video Distribution plus Magic Squares)

Assignment #29: Adding Like Monomials; Distributing, Then Adding (Assignment, Video, Student Video, Drill)

Assignment #29.5: Multiplying Polynomials (Assignment, Video, Drill)

Assignment #29.7: Factoring The Largest Monomial From Polynomials (Assignment, Video, Drill)

Assignment #30: Factoring Into Two Binomials (Assignment, Video, Drill)

Assignment #31: Complete Factoring (Assignment, Video)

Assignment #32: Solving Quadratic Equations (Assignment, Video, Drill)

Assignment #33: Polynomial Long Division (Assignment, Video)

Assignment #34: Solving Cubic Equations (Assignment, Video)

Assignment #35: Completing The Square (Assignment, Video)

Assignment #36: Solving By Quadratic Formula (Assignment, Video)

Assignment #37: The Discriminant (Assignment, Video)

Assignment #38: Quadratic Number and Consecutive Integer Problems (Assignment, Video)

Assignment #39: Quadratic Story Problems (Assignment, Video)

Assignment #40: Quadratic Digit Problems (Assignment, Video)

5. Radicals

Assignment #41: Vocabulary Of Radicals (Assignment, Video)

Assignment #42: Simplifying Radicals (Assignment, Video)

Assignment #43: Simplifying Fractions With Radicals (Assignment, Video)

Assignment #44: Simplifying Fractions In The Radicand (Assignment, Video)

Assignment #45: Adding And Subtracting Radicals (Assignment, Video)

Assignment #46: Multiplying Radicals In Binomials (Assignment, Video)

Assignment #47: Radical Equations (Assignment, Video)

6. Exponents and Logarithms

Assignment #48: Simplifying Expressions With Exponents (Assignment, Video)

Assignment #49: Using A Common Base (Assignment, Video)

Assignment #50: Fractional Exponents (Assignment, Video)

Assignment #51: Fractional Exponents And Common Bases (Assignment, Video)

Assignment #52: Computing Logarithms (Assignment, Video)

Assignment #53: Logarithmic Equations (Assignment, Video)

Assignment #54: Properties Of Logarithms (Assignment, Video)

Assignment #55: Logarithmic Equations Using The Properties Of Logarithms (Assignment, Video)

7. Fractional Expressions and Equations

Assignment #56: Dividing Monomials (Assignment, Video)

Assignment #57: Dividing Polynomials by Monomials (Assignment, Video)

Assignment #58: Dividing Polynomials (Assignment, Video)

Assignment #59: Simplifying Products of Polynomials (Assignment, Video)

Assignment #60: Simplifying Quotients of Polynomials (Assignment, Video)

Assignment #61: Simplifying Sums With A Different Monomial Denominator (Assignment, Video)

Assignment #62: Simplifying Sums With A Different Polynomial Denominator (Assignment, Video)

Assignment #63: Simplifying Differences With A Different Polynomial Denominator (Assignment, Video)

Assignment #64: Using The "-1 Technique" (Assignment, Video)

Assignment #65: Compound Fractions (Assignment, Video)

Assignment #66: Fractional equations (Assignment, Video)

Assignment #67: Fractional Equation Motion Problems (Assignment, Video)

Assignment #68: Miscellaneous Fractional Equation Problems (Assignment, Video)

8. Relations, Functions, and Graphing

Assignment #69: Vocabulary Of Relations And Functions (Assignment, Video)

Assignment #70: Graphing By Plotting Points (Assignment, Video)

Assignment #71: Graphing By Finding Intercepts (Assignment, Video)

Assignment #72: Using The Slope And y-Intercept (Assignment, Video)

Assignment #73: Graphing Non-Linear Polynomial Functions (Assignment, Video)

Assignment #74: Finding A Linear Equation Given Its Graph (Assignment, Video)

Assignment #75: Finding A Linear Equation Given The Slope And A Point (Assignment, Video)

Assignment #76: Finding A Linear Equation Given Two Points (Assignment, Video)

Assignment #77: Graphing Non-Linear, Non-Polynomial Functions (Assignment, Video)

Assignment #78: Applying The Vertical Line Test (Assignment, Video)

Assignment #79: Guessing The Equation From The Graph (Assignment, Video)

Assignment #80: Graphic Analysis: Solving Equations By Graphing Each Side (Assignment, Video)

Assignment #81: Graphing Inequalities (Assignment, Video)

Assignment #82: Graphing Systems Of Linear Inequalities (Assignment, Video)

Assignment #83: Maximizing And Minimizing A Linear Function (Assignment, Video)

Assignment #84: Linear Programming (Assignment, Video)

9. Trigonometry

Assignment #85: Vocabulary Of Angles And Triangles (Assignment, Video)

Assignment #86: Sine, Cosine, And Tangent (Right Triangle Definitions) (Assignment, Video)

Assignment #87: Solving Right Triangles (Assignment, Video)

Assignment #88: Solving More Right Triangles (Assignment, Video)

Assignment #89: Using Laws On Oblique Triangles (Assignment, Video)

Assignment #90: Other Geometric Figures (Assignment, Video)

Assignment #91: Sine, Cosine, And Tangent - Unit Circle Definitions (Assignment, Video)

Assignment #92: Trigonometric Functions Of Angles Larger Than 90 Degrees (Assignment, Video)

Assignment #93: Finding Trigonometric Functions Of The Special Angles (Assignment, Video)

Assignment #94: Miscellaneous Trigonometry Problems (Assignment, Video)

Assignment #95: Trigonometric Equations (Assignment, Video)

Assignment #96: Graphing Trigonometric Functions (Assignment, Video)

Assignment #97: Trigonometric Simplification (Assignment, Video)

Assignment #98: Trigonometric Identities (Assignment, Video)

10. Limits and Derivatives

Assignment #99: The Concept Of A Limit (Assignment, Video)

Assignment #100: Finding Limits (Assignment, Video)

Assignment #101: Finding The Slope At A Specific Point On A Curve (Assignment, Video)

Assignment #102: Finding The Slope At A General Point On A Curve (Assignment, Video)

Assignment #103: The Derivative (Assignment, Video)

Assignment #104: Using Derivative Rules (Assignment, Video)

Assignment #105: Curve Sketching Using Derivatives (Assignment, Video)

Assignment #106: Maximum And Minimum Problems Using Derivatives (Assignment, Video)

Assignment #107: Indefinite Integrals (Assignment, Video)

Assignment #108: Definite Integrals (Assignment, Video)

Assignment #109: Area Under A Graph (Assignment, Video)

Appendices

Appendix A: The Real Numbers (Assignment, Video)

Appendix B: The Field Axioms (Assignment, Video)

Appendix C: Deriving the Exponent Rules (Assignment, Video)

Appendix D: Deriving the Quadratic Formula (Assignment, Video)

Appendix E: Deriving the Logarithm Rules (Assignment, Video)

Appendix F: Deriving the Law of Sines, the Law of Cosines, and the Area Formulae (Assignment, Video)

Appendix G: The Special Angles (Assignment, Video)

Appendix H: The Sum, Difference, And Double Angle Formulae (Assignment, Video)

Appendix I: The Pythagorean Theorem and the Distance Formula (Assignment, Video)

Appendix J: Deriving Cramer's Rule For Two Variable Systems (Assignment, Video)

Appendix K: The Parabola (Assignment, Video)

Appendix L: Linear Programming (Assignment, Video)

Appendix M: Derivative Rules (Assignment, Video)

Appendix N: The Definite Integral As An Area Under A Graph (Assignment, Video)

Appendix O: Diagnostic Problems (Assignment, Video)

Downloads

Grapher (Windows)

Quadratic Formula

Links

Grapher (web)