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Algebra 1
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Solving equations and inequalities
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Solving literal linear equations
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Solving and graphing multi-step inequalities in one-variable
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Solving and graphing compound linear inequalities
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Evaluating infinite series
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Working with units
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Rate conversion
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Word problems with multiple units
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Linear equations and graphs
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Intercepts from a graph
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Intercepts of a linear function from a table
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Solving for a variable given a linear equation in standard form
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Forms of linear equations
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Point-slope form
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Two point form
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Standard form for linear equations
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Intercepts from an equation
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Inequalities and systems of inequalities
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Graphing linear inequalities in two variables
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Graphing systems of linear inequalities in two variables
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Functions (algebra 1)
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Discrete vs continuous functions
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Evaluate a function from its graph
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Evaluating expressions with multiple variables
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Finding the domain and range of functions from graphs
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Interval notation
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Intro to multivariable functions
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Inverse functions (algebra 1)
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Determining if a discrete function is invertible
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Finding the inverse of discrete and linear functions
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Arithmetic series
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Intro to arithmetic sequences
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Find the explicit formula of an arithmetic series given terms
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Find the formula of an arithmetic sequence from two terms
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Univariate expressions representing consecutive terms
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Explicit to recursive formula for arithmetic series
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Geometric series
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Intro to geometric series
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Find the explicit formula of a geometric series given terms
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Explicit formula from two terms
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Expressions representing consecutive terms
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Absolute value, piecewise, and step functions
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Evaluating piecewise functions
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Graphs of piecewise functions
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Evaluating and graphing the floor function
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Solving floor and ceiling equations
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Absolute value function under transformations
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Solving absolute value equations and inequalities
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Exponents and radicals
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Product property for square roots
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Simplifying square root expressions
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Simplifying cube roots of integers
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Simplifying nested square roots
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Simplifying radicals of monomials
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Higher order roots
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Rationalization
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Exponential growth and decay
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Exponential vs. linear growth
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Graphing exponential functions under transformations
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Finding exponential functions from tables, graphs, and points
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Exponential growth and decay
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Polynomials
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Difference of squares
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Intro to polynomials
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Multiplying polynomials
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Proving polynomial identities
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Equating coefficients
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Factoring and solving quadratics
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Factoring monic quadratics using algebra tiles
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Factoring and solving monic quadratics
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Factoring non-monic quadratics by factoring out the GCD
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Factoring quadratics with difference of squares
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Identifying and factoring perfect square trinomials
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Choosing a factoring method (level 1)
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Factoring non-monic quadratics using algebra tiles
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Factoring non-monic quadratics
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Choosing a factoring method (level 2)
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Completing the square
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Quadratic formula
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Sign of the discriminant
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Golden ratio
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Po-Shen Loh method
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Quadratic equations
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Solving quadratics by u-substitution
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Solving equations in quadratic form using u-substitution
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Solving quadratic equations by taking square roots
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Intro to vertex form for quadratics
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Converting quadratics between standard form and vertex form
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Quadratic from the vertex and a point
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Finding the domain and range of quadratic functions from equations
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First and second differences
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Reducing to a linear equation
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Irrational numbers
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Sums and products of rational and irrational numbers
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Algebra 1
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Absolute value, piecewise, and step functions
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Graphs of piecewise functions
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Other resources
Find the equation of a piecewise function from its graph
YouTube videos
2021
Find the Equation of a Piecewise Function Given a Graph
Mathbyfives
16431
How to write a piecewise function from a given graph - Homework help online
Brian McLogan
69650
Modeling the equation of a piecewise defined function from its graph (KristaKingMath)
Krista King