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YouTube

Algebra 1 - Complete Course with Operations, Equations, Functions, and Polynomials

Krista King via YouTube

Overview

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Master fundamental algebraic concepts through this comprehensive video course covering essential topics from basic operations to advanced functions. Learn algebraic properties including associative, commutative, transitive, and distributive properties, along with order of operations and expression evaluation. Explore equation-solving techniques starting with simple equations and progressing to systems of two and three equations using substitution and elimination methods. Study polynomial operations including addition, multiplication, and division of both single and multivariable polynomials. Develop factoring skills for trinomials, quadratic equations, and difference of squares, plus master completing the square method including complex roots. Understand coordinate systems, slope calculation, and linear equation graphing while working with functions and their manipulations. Practice converting word problems into mathematical equations and solving consecutive integer problems. Cover advanced topics including exponents and radicals, ratio and proportion, complex fractions, rational expressions, imaginary numbers, and exponential and logarithmic functions to build a solid foundation for higher-level mathematics.

Syllabus

associative property (KristaKingMath)
commutative property (KristaKingMath)
transitive property (KristaKingMath)
distributive property (KristaKingMath)
distributive property, fractions (KristaKingMath)
distributive property, binomial multiplication (KristaKingMath)
identifying multiplication (KristaKingMath)
symbols of inclusion (KristaKingMath)
pemdas, order of operations (KristaKingMath)
understood 1 (KristaKingMath)
evaluating expressions (KristaKingMath)
balancing equations (KristaKingMath)
inverse operations (KristaKingMath)
simple equations (KristaKingMath)
simple equations with subscripts (KristaKingMath)
variables on both sides of a simple equation (KristaKingMath)
equations with parentheses (KristaKingMath)
turning word problems into equations (KristaKingMath)
consecutive integers (KristaKingMath)
Multiplying functions - How to find the product of functions
What is TRICHOTOMY? (KristaKingMath)
cartesian coordinate system (KristaKingMath)
slope (KristaKingMath)
graphing linear equations (KristaKingMath)
2-step problems (KristaKingMath)
substitution to solve a system of two equations (KristaKingMath)
elimination to solve a system of two equations (KristaKingMath)
solving systems of equations three ways (KristaKingMath)
adding polynomials (KristaKingMath)
multiplying polynomials (KristaKingMath)
dividing polynomials (KristaKingMath)
multiplying multivariable polynomials (KristaKingMath)
dividing multivariable polynomials (KristaKingMath)
greatest common factor, trinomials (KristaKingMath)
greatest common factor, polynomials (KristaKingMath)
factoring quadratic equations (KristaKingMath)
factoring the difference of squares (KristaKingMath)
completing the square (KristaKingMath)
completing the square with complex roots (KristaKingMath)

Taught by

Krista King

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