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Algebra Review - Part 2

via YouTube

Overview

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This course covers a wide range of algebra topics including volume calculations, trigonometry, transformations, systems of equations, radicals, quadratic functions, and logarithms. Students will learn to solve various algebraic equations, work with matrices, understand geometric concepts, and apply algebra in real-world scenarios. The teaching method involves theoretical explanations, step-by-step problem-solving, and practical examples. This course is intended for learners who want to strengthen their algebra skills, prepare for advanced math courses, or refresh their knowledge in algebraic concepts.

Syllabus

Zero Exponent.
Volume of a Pyramid.
Volume of a Prism.
Volume of a Cylinder.
Volume of a Cone.
Vertical Line Test.
Vertex Form.
Adding and Subtracting Unlike Fractions.
Uniform Motion Problems.
Types of Angles.
Trigonometric Ratios (Sine, Cosine, Tangent).
Trichotomy Property.
Triangles.
Transitive Property of Equality.
Transformations.
Third-Order Determinants.
The Natural Base (e).
The Discriminant.
Terms, Coefficients, and Constants.
Systems of Equations.
Synthetic Division.
Symmetric Property of Equality.
Surface Area of Rectangular Prisms.
Surface Area of Cylinders.
Surface Area of a Cone.
Subtraction Property of Equality.
Subtracting Polynomials.
Subtracting Integers.
Substitution.
Substitution Property of Equality.
Standard to Scientific Notation.
Standard Form and Expanded Form.
Perfect Squares and Square Roots.
Square Root Property.
Square Root Inequalities.
Square Root Functions.
Square of a Sum.
Square of a Difference.
Solving Quadratic Systems.
Slope-Intercept Form.
Slope.
Simplifying Radical Expressions.
Simplifying Algebraic Expressions.
Simplification.
Simplest Radical Form.
Simple Interest.
Similar Triangles.
Similar Solids.
Sigma Notation.
Second-Order Determinants.
Scientific to Standard Notation.
Scientific Notation.
Scale Drawings and Scale Models.
Scalar Multiplication of Matrices.
The Remainder Theorem and Synthetic Substitution.
Relative Minimums and Relative Maximums.
Relations.
Reflexive Property of Equality.
Rays, Lines, and Angles.
Ratios and Rates.
Rational Zero Theorem.
Rational Numbers.
Rational Inequalities.
Rational Functions.
Rational Expressions with Unlike Denominators.
Rational Expressions with Like Denominators.
Rational Expressions.
Rational Exponents.
Rational Equations.
Rate of Growth.
Rate of Decay.
Rate of Change.
Range.
Radical Inequalities.
Radical Equations.
Quotient Property of Logarithms.
Quotient Property of Square Roots.
Quotient of Powers.
Quadrilaterals.
Quadratic Inequalities.
Quadratic Functions.
The Quadratic Formula.
Quadratic Equations.
Quadrants.
The Pythagorean Theorem.
Proportions.
Properties of Matrix Multiplication.
Property of Inequality for Logarithmic Functions.
Property of Equality for Logarithmic Functions.
Product of a Sum and a Difference.
Product Property of Logarithms.
Product Property of Square Roots.
Product of Powers.

Taught by

statslectures

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