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ALGEBRA
GEOMETRY
ALGEBRA II/ TRIGONOMETRY
PRECALCULUS
CALCULUS
SAT MATH
Click any concept below to view a complete lesson. These lessons support the questions (each having their own video solution) in our vast database. After viewing a lesson, we recommend that you create a personalized question-set in order to practice and evaluate your learning.
Algebra II/Trigonometry
Topic A: Working with Rational (Fractional) Expressions
Prerequisite 1: Operations with Polynomials
Prerequisite 2: Factoring Review
Prerequisite 3: Factoring by Grouping
Concept 1: Reducing Algebraic Fractions
Concept 2: Multiplying and Dividing Algebraic Fractions
Concept 3: Adding and Subtracting Fractions
Concept 4: Simplifying Complex Fractions
Concept 5: Solving Fractional Equations
Concept 6: Undefined Fractions
Topic B: Radicals, Quadratics, Inequalities and Absolute Value
Concept 1: Solving Absolute Value Equations
Concept 2: Solving Absolute Value Inequalities
Concept 6: Rationalizing a Denominator
Concept 3: Simplifying a Radical
Concept 4: Adding and Subtracting Radicals
Concept 5: Multiplying and Dividing Radicals
Concept 8: Completing The Square
Concept 7: Solving Quadratic Equations by Factoring & Square Root Method
Concept 9: Quadratic Formula
Concept 10: Solving Radical Equations
Concept 11: Applications of Quadratic Equations
Concept 12: Solving Rational (Fractional) Inequalities; Interval Notation
Topic C: The Complex Numbers (Imaginary Numbers)
Concept 1: Imaginary Numbers
Concept 2: Adding and Subtracting Complex Numbers
Concept 3: Multiplying and Dividing Complex Numbers
Concept 4: Quadratic Equations with Imaginary Roots
Concept 5: Nature of the Roots of a Quadratic Equation
Concept 6: Sum & Product Of the Roots Of a Quadratic
Concept 7: Solving Quadratic Inequalities
Topic D: Polynomial Equations
Concept 1: Solving Higher Degree Equations Algebraically
Concept 2: Solving Higher Degree Equations Graphically
Concept 3: Equation of a Circle
Concept 4: Inverse Variation and the Hyperbola
Concept 5: Graphing Quadratic Inequalities
Concept 6: Solving Quadratic-Linear Systems of Equations
Topic E: Functions, Conic Sections, Transformations
Concept 1: Evaluating Functions: f(x)
Concept 2: Domain and Range; Vertical line Test
Concept 3: One-to-One and Onto Functions
Concept 4: Inverse Functions
Concept 5: Composition of Functions: f(g(x))
Concept 6: The Conic Sections
Concept 12: The Hyperbola and Inverse Variation
Concept 7: Isometries,Transformations
Concept 8: Review of Transformations
Concept 9: Compositions with Transformations
Concept 10: Shifting, Reflecting & Stretching the Graphs of Functions
Concept 11: Problem Solving with Functions
Topic F: Rules of Exponents; Exponential Functions
Concept 4: Exponential Functions & their Graphs
Concept 1: Laws of Exponents
Concept 2: Zero, Negative & Fractional Exponents
Concept 3: Scientific Notation
Concept 6: The natural base e; Graphing y=e^x
Concept 5: Solving Exponential and Fractional Exponent Equations
Topic G: Logarithmic Functions
Concept 1: The Logarithmic Function and its Graph
Concept 2: Properties of Logarithms
Concept 3: The Natural Log: ln x; the Base "e"
Concept 4: Solving Logarithmic Equations
Concept 5: Using Logarithms to Solve Exponential Equations
Concept 6: Applications of Logarithmic & Exponential Functions
Topic H: Sequences and Series
Concept 1: Sequences: Recursive & Explicit
Concept 2: Arithmetic Sequences
Concept 3: Geometric Sequences
Concept 5: Finite Arithmetic and Geometric Series (Sums)
Concept 4: Sigma Notation
Topic I: Beginning Trigonometry
Concept 1: Trigonometry of the Right Triangle: SohCahToa
Concept 2: Quadrantal and Coterminal Angles
Concept 3: Find the Exact Value of Trig. Expressions; Special Triangles
Concept 4: Expressing as a Function of a Positive Acute Angle: Reference Angles
Concept 5: Sine, Cosine & Tangent as Coordinates
Concept 6: Radian/Degree Conversions
Concept 7: The Reciprocal Identities: Sec, Csc, Cot
Concept 8: Evaluating Trig. Functions in Radians
Concept 10: Cofunctions
Concept 9: Arc Length and Radian Measure
Concept 11: Trigonometry and the Calculator; Degrees & Minutes
Concept 12: Finding a Trig Function when one is Known
Topic J: Graphs of Trig. Functions; Inverse Trig. Functions (Arc)
Concept 1: Amplitude, Frequency, Period & Range
Concept 2: Graphing Sine, Cosine, & Tangent
Concept 3: Shifts of Trigonometric Graphs; Applications of Trig. Graphs
Concept 4: Finding the Equation of a Trig. Function when Graph is Given
Concept 5: Inverse Trig. Functions: Arc
Topic K: Trig. Equations and Identities
Concept 1: Using and Proving Basic Trigonometric Identities
Concept 2: The Sum or Difference of Two Angle Measures
Concept 3: Function Values of Half/Double Angle Measures
Concept 4: Single Function First Degree Trigonometric Equations
Concept 5: Single Function Second Degree Trigonometric Equations
Concept 6: Trigonometric Equations With Two Functions
Topic L: Applications Of Trigonometric Functions
Concept 1: The Law of Sines
Concept 2: Area of a Triangle
Concept 3: The Law of Cosines
Concept 4: The Ambiguous Case: How Many Triangles?
Concept 5: Applications of Trigonometry; Force Problems
Topic M: Statistics and Regression Analysis
Concept 1: Mean; Mode, Median and Range
Concept 2: Standard Deviation
Concept 3: Normal Distributions
Concept 4: Regression Analysis
Topic N: Probability
Concept 2: Permutations and Factorial Notation
Concept 4: Probability of: Exactly; at Most; at Least
Concept 5: Expanding a Binomial: Finding Terms of an Expansion
Concept 3: Combinations