Algebra Rules of Equations Evaluating expressions Balancing equations Inverse operations Simple Equations Simple equations Simple equations with subscripts Variables on both sides of the equation Equations with parentheses Word problems into equations Consecutive integers Like terms Adding and subtracting like terms Multiplying and dividing like terms Functions Domain and range Functional notation Testing for functions Vertical line test Sum of functions Product of functions Even odd or neither Classifying functions Independent and dependent variables Inequalities Trichotomy Inequalities and negative numbers Graphing inequalities on a number line Graphing conjunctions on a number line Graphing Cartesian coordinate system Slope Equation of a line in point-slope form Equation of a line in slope-intercept form Graphing linear equations Systems of Two Equations 2-step problems Solving with substitution Solving with elimination Solving three ways Polynomials Adding polynomials Multiplying polynomials Dividing polynomials Multiplying multivariable polynomials Dividing multivariable polynomials Factoring Greatest common factor of trinomials Greatest common factor of polynomials Factoring quadratic equations Factoring the difference of two squares Completing the square Completing the square with complex roots Quadratic formula Proving the quadratic formula Factoring to find a common denominator Algebra 2 Exponents and Radicals Powers of negative bases Powers of fractions Zero as an exponent Negative exponents Negative exponents and power rule Fractional exponents Rationalize the denominator Rationalize the denominator with conjugate method Ratio and Proportion Word problems Chemical compounds Fractions to decimals to percents Percent markup Calculating commission Calculating simple interest Complex Fractions Complex fractions Complex fractions ratio and proportion Rational Expressions Long division of polynomials Reducing and cancellation for rational expressions Adding and subtracting rational expressions Multiplying rational expressions Dividing rational expressions Imaginary Numbers Imaginary numbers Rationalize an imaginary denominator with conjugate method Advanced Equations Direct variation Inverse variation Decimal equations Fractional equations Abstract fractional equations Radical equations Multivariable equations Distance rate and time Systems of Equations Solving with Cramer’s rule System of two equations with subscripts Uniform motion System of two equations with a non-linear equation Number word problems Age word problems System of three equations Factoring Factoring quadratic equations with coefficients Factoring by grouping Factoring the difference of two cubes Factoring the sum of two cubes Zero theorem Graphing Graphing parallel and perpendicular lines Graphing parabolas Finding center and radius of a circle Graphing circles Distance between two points Equation modeling Modeling a piecewise defined function Sketching graphs from story problems Graphing linear inequalities Manipulating Functions Combinations of functions Composite functions Composite functions_ domain One-to-one functions and the horizontal line test Inverse functions Finding the equation of a line from two points on its inverse Exponential and Logarithmic Functions Laws of logarithms References College Algebra Final Exam Playlist (Version 2) - YouTube