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Hi! START HERE: Course overview
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Introduction to operations
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Identifying multiplication
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Associative property
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Commutative property
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Transitive property
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Distributive property
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Distributive property with fractions
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Distributive property and binomial multiplication
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Grouping symbols with PEMDAS and order of operations
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Understood 1
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Introduction to rules of equations
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Evaluating expressions
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Inverse operations
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Simple equations
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Balancing equations
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Introduction to simple equations
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Simple equations with subscripts
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Equations with parentheses
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Word problems into equations
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Consecutive integers
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Introduction to like terms
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Adding and subtracting like terms
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Multiplying and dividing like terms
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Introduction to polynomials
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Adding and subtracting polynomials
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Multiplying polynomials
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Dividing polynomials
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Multiplying multivariable polynomials
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Dividing multivariable polynomials
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Introduction to factoring
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Greatest common factor of trinomials
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Greatest common factor of polynomials
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Factoring quadratic polynomials
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Factoring the difference of two squares
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Completing the square
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Completing the square with complex roots
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Quadratic formula
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Proving the quadratic formula
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Factoring to find a common denominator
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Introduction to functions
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Domain and range
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Domain and range from a graph
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Functional notation
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Testing for functions
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Vertical line test
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Sum of functions
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Product of functions
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Even, odd, or neither
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Introduction to inequalities
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Trichotomy
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Trichotomy, example 2
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Inequalities and negative numbers
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Graphing inequalities on a number line
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Graphing conjunctions on a number line
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Graphing conjunctions on a number line, example 2
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Introduction to graphing
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Cartesian coordinate system
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Slope
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Equation of a line in point-slope form
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Equation of a line in slope-intercept form
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Graphing linear equations
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Graphing linear equations, example 2
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Graphing linear equations, example 3
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Graphing linear equations, example 4
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Graphing linear inequalities
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Graphing linear inequalities, example 2
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Introduction to systems of two equations
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2-step problems
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Solving with substitution
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Solving with elimination
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Solving three ways
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Introduction to exponents and radicals
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Powers of negative bases
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Powers of fractions
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Zero as an exponent
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Negative exponents
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Negative exponents and power rule
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Fractional exponents
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Rationalize the denominator
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Rationalize the denominator with conjugate method
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Rationalize the denominator with conjugate method, example 2
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Introduction to ratio and proportion
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Ratios and proportions
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Chemical compounds
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Converting between fractions, decimals, and percents
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Percent markup
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Percent markdown
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Calculating commission
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Calculating simple interest
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Introduction to complex fractions
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Complex fractions
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Complex fractions, example 2
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Complex fractions, example 3
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Complex fractions, example 4
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Complex fractions, example 5
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Complex fractions, ratio and proportion
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Introduction to rational functions
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Long division of polynomials
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Simplifying rational functions
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Adding and subtracting rational functions
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Multiplying rational functions
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Dividing rational functions
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Introduction to imaginary numbers
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Imaginary numbers
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Imaginary numbers, example 2
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Rationalizing complex denominators
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Introduction to advanced equations
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Direct variation
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Inverse variation
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Decimal equations
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Fractional equations
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Fractional equations, example 2
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Fractional equations, example 3
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Rational equations
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Rational equations, example 2
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Rational equations, example 3
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Radical equations
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Radical equations, example 2
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Multivariable equations
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Distance, rate, and time
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Introduction to systems of equations
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Systems of equations with subscripts
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Uniform motion
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Systems of two equations with a non-linear equation
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Number word problems
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Age word problems
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Systems of three equations
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Systems of three equations, example 2
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Introduction to factoring
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Factoring quadratic polynomials with coefficients
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Factoring quadratic polynomials with coefficients, example 2
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Factoring by grouping
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Factoring by grouping, example 2
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Factoring the difference of two cubes
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Factoring the sum of two cubes
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Zero theorem
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Zero theorem, example 2
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Zero theorem, example 3
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Introduction to graphing
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Graphing parallel and perpendicular lines
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Graphing parabolas
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Graphing circles
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Center and radius of a circle
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Distance between two points
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Equation modeling
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Modeling a piecewise defined function
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Sketching graphs from story problems
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Introduction to manipulating functions
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Combinations of functions
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Composite functions
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Composite functions, domain
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One-to-one functions and the horizontal line test
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Inverse functions
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Finding a function from its inverse
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Introduction to exponential and logarithmic functions
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What is a logarithm?
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Common bases and restricted values
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Evaluating logs
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The general log rule
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Laws of logarithms
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Change of base
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Laws of natural logs
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Graphing exponential functions
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Graphing log functions
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Wrap-up
