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Algebra 2

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Overview

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Master Algebra 2 concepts through personalized math tutoring videos. Explore a comprehensive range of topics including trigonometric formulas, polynomial inequalities, function transformations, rational expressions, and logarithms. Enhance your understanding with clear explanations and numerous examples designed to boost your math skills and improve your grades. Dive into advanced subjects such as the law of sines and cosines, complex numbers, conic sections, matrices, and probability. Practice solving challenging problems involving quadratic equations, exponential functions, and sequences and series. Gain proficiency in using graphing techniques for various functions and learn to apply algebraic concepts to real-world scenarios. Prepare effectively for exams with thorough reviews and develop a strong foundation for higher-level mathematics.

Syllabus

Tangent Sum and Difference Formulas How to Use.
Solving Polynomial Inequalities Algebraically Using Number Line.
Graphing Absolute Value Functions with Transformations.
How to Find Slant Asymptote of a Rational Function.
Law of Sines (SSA) Ambiguous Case 2 Triangles Possible.
Find Reference Angle in Radians and Degrees (Formulas).
Adding & Subtracting Rational Expressions Easily.
Finding a Least Common Multiple (With Variables).
Law of Sines AAS, ASA, SSA Ambiguous Case.
Solving Triangles Using Law of Sines and Law of Cosines.
Find 3 Consecutive Even Integers with a Sum of 72.
Properties of Exponents - Including Negative (Multiple Examples).
Solving a Quadratic Equation by Completing the Square.
Is a Function Even, Odd, or Neither?.
Find Zeros of Polynomial Using Calculator & Synthetic Division.
Special Right Triangles 30-60-90 & 45-45-90 (3 Easy Methods Explained).
Graphing Logarithmic Functions with Transformations.
Graphing Polynomial Functions Using End Behavior, Zeros, and Multiplicities.
Testing for Symmetry Versus Even or Odd (PreCalculus).
Decomposing Functions h(x) = f(g(x)).
Write a Quadratic Equation in Standard Form by Completing the Square (3 Examples).
Factoring Trinomials in Quadratic Form.
Parabola Equation Using Distance Formula.
Outliers - Box and Whisker Plot (1.5 IQR).
Cramer's Rule Solving a System of Linear Equations 2x2.
Substitution Method to Solve a System of Equations.
Factoring Sum and Difference of Cubes.
Draw an Angle in Radians (Standard Position).
Graphing Absolute Value Functions (y=a|x-h|+k).
Solving Exponential Equations.
Discriminant of a Quadratic Equation - Determine Number and Type of Solutions.
Converting a Quadratic Function From Standard Form to Vertex Form (Completing the Square).
Line of Best Fit By Hand & Using Linear Regression Ti84.
Write Recursive Formulas for Sequences (2 Methods).
Completing the Square to Solve a Quadratic Equation (3 Examples).
Graphing Rational Functions Step-by-Step (Complete Guide 3 Examples).
Solve an Exponential Equation by Getting Bases to be Equal.
Find Horizontal Asymptote of a Rational Function.
How to Graph Quadratic Functions (Standard Form, Vertex Form & Intercept Form).
Sequences and Series Introduction.
Solving Trigonometric Equations - How to Write General Solution.
Law of Sines and Law of Cosines (4 Examples).
Radicals Complete Review - Simplifying, Rationalizing, Equations, Adding & Subtracting.
Evaluating Inverse Trigonometric Functions (arcsin, arccos, arctan) Using Unit Circle.
Verifying Trigonometric Identities Easily - Strategy Explained (14 Examples).
Graphing Sine and Cosine Functions with Transformations (Multiple Examples).
Solving Exponential and Logarithmic Equations (Multiple Examples).
Combined Variation.
Solving Quadratic Systems (Substitution & Elimination).
Radians Intro (What are they? Converting Units, Draw Standard Position).
Graphing Sine, Cosine, Cosecant, Secant, Tangent & Cotangent (Complete Guide).
Factoring Polynomials Completely - All Types (100 Problems & Free Worksheet).
Sketching Rational Functions Step by Step (6 Examples!).
Synthetic Division and P(x)=D(x)Q(x) + r.
Evaluating Composition of Functions From Graphs.
Equation of Parabola Given 3 Points (System of Equations).
Solving a System 3 Equations (General Solution).
Elimination 3 Variables (Multiple Examples).
Elimination 3 Variables 3 Equations.
Performing Operations on Radicals.
Solving Trigonometric Equations Multiple Angles.
Simplifying Complex Fractions (2 Methods).
Synthetic Substitution.
Circle Inequalities (Graphing & Writing).
Sequences and Series (Arithmetic & Geometric) Quick Review.
Composition of Functions (Examples).
Transformations of Parent Graphs (Advanced).
Verifying Functions are Inverses.
Probability Defective Units Example.
Vertex Form for Quadratic Functions (by Completing the Square).
Absolute Value Function (How to Graph).
Inverse Functions (Complete Guide).
Rational Expressions Adding and Subtracting.
Rationalize Cube Roots in the Denominator.
Descartes Rule of Signs to Determine Number of Positive & Negative Zeros.
Dividing Polynomials Using Long Division.
Distinguishable Permutations of Letters in a Word.
Arithmetic Sequence (Explicit Formula).
Geometric Sequence (Explicit Formula).
Draw an Angle in Standard Position (Radians & Degrees).
Permutations Combinations Factorials & Probability.
Factorial Expressions (Simplifying).
Binomial Expansion Find a Specific Term.
Binomial Expansion Finding Coefficient.
Algebra 2 Final Exam Review.
Graphing Sine and Cosine Functions (More Challenging Examples).
Algebra 2 Midterm Exam Review.
Greatest Integer Function How to Graph.
Evaluate the Six Trigonometric Functions of the Angle.
End Behavior of Polynomial Functions Using Leading Coefficient Test.
Rational Expressions Multiplying and Dividing.
Parent Function Graphs Transformations (Shift, Stretch, Reflect).
Radicals How to Simplify Square Roots (& Cube Roots).
Graphing Quadratic Equations Easily (All Types).
How to Graph Tan (Tangent) - More Challenging.
Classify Polynomials by Degree & Number of Terms.
Condensing Logarithms into a Single Log (More Challenging Examples).
Expanding Logarithmic Expressions (More Challenging Examples).
Sine or Cosine Writing Equations Given Graph.
Is a Function Periodic?.
Write Equation of a Parabola Given Vertex and Directrix.
Equation of Parabola Given Focus and Directrix.
Equation of Ellipse Given Vertices and Foci.
Ellipse Equation Given Eccentricity and Foci.
Ellipse Equation Given Vertices and Eccentricity.
Hyperbola Equation Given Asymptotes and Vertices.
Determine if an Equation is a Hyperbola, Ellipse, Parabola or Circle.
Evaluating Numbers with Rational Exponents Using Radicals.
Solve Quadratic Equations by Finding Square Roots.
Piecewise Functions - How to Evaluate.
What is the Correlation Coefficient r ?.
Row Reduced Echelon Form.
Gaussian Elimination with Back Substitution.
Recursive Formulas How to Write.
Logs Everything You Need to Know.
Writing Logarithms in Exponential Form.
Arithmetic Sequence Formula Given 2 Terms Easy Method.
Quadratic Equation How to Write in Vertex Form (Easier Method).
Angle of Elevation and Depression Problems.
Linear Programming.
Bearing Math Problems.
Time to Triple Compounding Continuously.
Time to Double Compounding Continuously.
Find Inverse and State Domain Restriction.
Rewriting Powers of i Using Calculator Ti84 (Imaginary Numbers).
Graphing Exponential Functions with Base e.
Solving Radical Equations (More Challenging).
Solving Radical Equations.
Convert from Degrees to Degrees, Minutes, Seconds.
Deriving the Quadratic Formula by Completing the Square.
Writing a Polynomial Given Zeros.
Determining if a Function is a Polynomial.
One-to-One Property to Solve Logarithmic Equations.
Rewriting Logs in Exponential Form.
One to One Property for Exponential Equations.
Completing the Square to Solve Quadratic Equations.
Discriminant to Find Number of Solutions.
Finding Zeros of Rational Functions.
Half Life Formula & Example.
Domain of Logarithmic Functions.
Exponent Rules with Examples.
Negative Exponents Simplifying.
Graphing System of Quadratic Inequalities (Example 2).
Graphing System of Quadratic Inequalities Example 1.
Find Two Positive Real Numbers Whose Product is a Maximum (PreCalculus).
Completing the Square Leading Coefficient (More Challenging Examples).
Find the Equation of a Quadratic (Parabola) Given 3 Points.
Inverse Variation or Direct Variation? (Given a Table).
Powers of i (Simplifying).
Volume of Open Box Made From Rectangle with Squares Cut Out.
Decomposing Functions Using Composition of Functions.
Shifting, Stretching and Reflecting Parent Function Graphs.
Cramer's Rule Solving Systems of 3 Equations.
Piecewise Functions Graphing.
Interval Notation (What is It?).
Absolute Value Inequality Special Cases.
Absolute Value Compound Inequality (Challenging).
Finding a Sinusoidal Equation Given a Maximum and Minimum.
Half Angle Formula Positive or Negative?.
Verifying Trigonometric Identities (Examples).
What are Imaginary Numbers?.
How to Graph Tangent (Simplified).
Ellipses Vs. Hyperbolas Similarities and Differences.
Matrices Quick Tip for Rotating and Reflecting.
Which Way Does the Hyperbola Open?.
Finding Equation of Parabola Given Vertex and Directrix.
Finding Equation of Parabola Given Focus and Vertex.
Heron's Area Formula for Triangles.
Master the Unit Circle!.
Factoring Trinomials Leading Coefficient Not 1 by Grouping.
Equation of Hyperbola Given Asymptotes and Foci.
TI84 TI83 Pascal's Triangle Binomial Expansion.
Combined Rate Example (2 People Working Together).
Finite Differences to Determine the Degree of a Sequence.
Repeating Decimal to Fraction Using Geometric Series(Challenging).
Bouncing Ball Distance Traveled Example.
Writing Summations in Sigma Notation.
Direct Variation or Inverse Variation?.
Expanding and Condensing Logs (Challenging).
Solving (Challenging) Log Equations Different Bases.
TI84 TI83 Calculating Standard Deviation.
Using Matrices to Solve Systems of Equations on Ti84 Calculator.
Cramer's Rule Matrices.
Inverse Matrices Solving Systems of Equations.
Inverse of a 2x2 Matrix.
Area of a Triangle Using Determinant.
Determinant of a Matrix - How to Find (2x2 & 3x3).
How to do Matrix Multiplication.
Matrices - Dimensions, Add, Subtract Scalar Multiplication.
Standard Deviation How to Calculate by Hand (Formula).
Z Scores and Normal Distributions (Example Problems).
Probability Examples with Cards.
Writing Conic Sections in Standard Form.
Binomial Probability.
How to Use Permutations and Combinations.
Hyperbolas - How to Graph.
How to Graph Ellipses and Write the Equation.
How to Graph Parabolas and Write the Equation.
Binomial Expansion Theorem.
Simplifying Complex Fractions.
Rational Equations (How to Solve).
Sum of Infinite Geometric Series.
Sum of a Geometric Series.
Geometric Sequence Formula.
Sum of an Arithmetic Series Formula.
Arithmetic Sequence - Write Equation (Formula).
Probability vs Odds.
Factoring - How to Factor Different Types.
Trigonometry: How to Solve Right Triangles.
Completing the Square.
How to Rationalize Radicals.
Radicals Simplifying.
TI-84 TI-83 Finding Log Values.
Finding Relative Maximum and Relative Minimum Ti84 Ti83.
Zeros How to Find Ti84 Ti83.

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