Algebra Desmos Library

Basic Laws, Properties, and Definitions

order of operations
exponent laws
properties of radicals
parts of a coordinate plane
basic parts of a function
basics of function transformation
number sets
formal notation
vertical line test
horizontal line test

Number Line Inequality

Single Inequality
Solving Single Inequalities
  • shows basic four inequalities
  • show the solution process of solving single inequalities
Compound Inequalities
  • shows AND OR inequalities
Solving Compound Inequalities
  • show the solution process of solving compound inequalities

Lines

forms of a line
parts of a line
direct variation lines
linear function transformation
linear inequalities
inverse of a linear function
writing equations of linear functions
writing equations of linear functions that are parallel to a given line
writing equations of linear functions that are perpendicular to a given line
applications of linear functions

Linear Systems 

horizontal and vertical line
two slope intercept lines
horizontal line and diagonal line 
vertical line and diagonal line
two standard form lines
slope intercept and standard form
linear systems of inequality 
​(two solid lines)
  • two y = mx+b lines (above both) 
  • two y = mx+b lines (below both) 
  • two y = mx+b lines (above solid 1) 
  • two y = mx+b lines (below solid 1)
linear systems of inequality
​(one solid and one dashed line)
linear systems of inequality 
​(two dashed lines)
  • two y = mx+b lines (above both) 
  • two y = mx+b lines (below both) 
  • two y = mx+b lines (above dashed 1) 
  • two y = mx+b lines (below dashed 1)
applications of linear systems
applications of linear systems of inequality

Quadratic Function

types of quadratic equations
methods of solving quadratic equations
special examples of quadratic functions
parts of a parabola
forms of a quadratic function
quadratic functions: all three forms
irrational, rational, and imaginary solutions
systems of equations involving quadratics
quadratic function inequalities
piecewise inverse of a quadratic function
applications of quadratic functions

Radical Expressions

​types of radical expressions
simplification of radical expressions
simplification of radical expressions
solving radical equations

Square Root Function

parts of a square root function
graph of a square root function
solving square root equations

Cube Root Function

parts of a cube root function
graph of a cube root function
solving cube root equations

Rational Expressions

types of rational expressions
simplification of rational expressions
properties of rational expressions

Rational Function

types of rational functions
parts of rational functions
rational functions related to linear functions
rational functions related to quadratic functions