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Algebra 2 - Complete Course on Operations, Functions, Systems, Polynomials, and Advanced Equations

Krista King via YouTube

Overview

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Master essential Algebra 2 concepts through this comprehensive video playlist covering operations with exponents, equation solving, functions, inequalities, graphing, systems of equations, polynomials, factoring, radicals, rational expressions, imaginary numbers, and logarithmic functions. Learn to work with negative and fractional exponents using power rules, rationalize denominators with conjugate methods, and calculate simple interest. Develop skills in handling complex fractions, ratio and proportion problems, and performing operations on rational expressions including addition, subtraction, multiplication, and division. Explore imaginary numbers and practice rationalizing imaginary denominators, then advance to direct and inverse variation problems. Solve various equation types including decimal, fractional, abstract fractional, radical, and multivariable equations while tackling real-world applications like distance-rate-time problems. Master systems of equations using Cramer's rule, work with subscripts and quadratic systems, and solve uniform motion, number, and age word problems. Progress through advanced factoring techniques including quadratic equations with coefficients, factoring by grouping, and factoring sum and difference of cubes. Apply the zero theorem and develop graphing skills for parallel lines, perpendicular lines, and parabolas while calculating distances between points.

Syllabus

negative exponents (KristaKingMath)
power rule with negative exponents (KristaKingMath)
fractional exponents (KristaKingMath)
rationalize the denominator using conjugate method (KristaKingMath)
Simple interest - How to calculate it
complex fractions (KristaKingMath)
complex fractions, ratio and proportion (KristaKingMath)
addition and subtraction of rational expressions (KristaKingMath)
multiplication of rational expressions (KristaKingMath)
division of rational expressions (KristaKingMath)
imaginary numbers (KristaKingMath)
rationalize an imaginary denominator with conjugate method (KristaKingMath)
direct variation (KristaKingMath)
inverse variation (KristaKingMath)
decimal equations (KristaKingMath)
fractional equations (KristaKingMath)
abstract fractional equations (KristaKingMath)
radical equations (KristaKingMath)
multivariable equations (KristaKingMath)
distance, rate and time (KristaKingMath)
solving systems of equations with cramer's rule (KristaKingMath)
system of two equations with subscripts (KristaKingMath)
uniform motion (KristaKingMath)
system of two equations with a quadratic equation (KristaKingMath)
number word problems as a system of two equations (KristaKingMath)
age word problems as a system of two equations (KristaKingMath)
system of three equations (KristaKingMath)
factoring quadratic equations with coefficients (KristaKingMath)
factoring by grouping (KristaKingMath)
factoring the difference of cubes (KristaKingMath)
factoring the sum of cubes (KristaKingMath)
zero theorem (KristaKingMath)
graphing parallel and perpendicular lines (KristaKingMath)
graphing parabolas (KristaKingMath)
distance between two points (KristaKingMath)

Taught by

Krista King

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