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