TOC
Courses
Blog
Twitch
Shop
Search

Courses
Blog
Subreddit
Discord
Log in
Sign up

▾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
  - •First and second differences of quadratics
  - •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

Inequalities and systems of inequalities

Graphing linear inequalities in two variables
Graphing systems of linear inequalities in two variables