## Functions

How to determine domain and range of functionsHow to add, subtract, multiply and divide fractions

How to find inverse functions and relations

How to identify transformations of functions

What are the function transformation rules

What are the characteristics of quadratic functions

How to find the maximum or minimum value of a quadratic function

## Polynomials

How to divide polynomialsHow to find the roots of factored polynomials

How to use the binomial theorem

How to factor sums and differences of cubes

How to use the complex conjugate theorem

How to use the conjugate roots theorems

How to use the fundamental theorem of algebra

## Rational functions

How to solve rational equationsHow to find asymptotes and excluded values of rational functions

## Radical functions

How to determine the domain and the range of radical functions## Systems of equations

How to solve a system of equation by graphingHow to classify a system of equations

How to solve a system of equations using elimination and substitution

How to solve a system of equations in three variables using elimination and substitution

How to determine the number of solutions to a system of equations in three variables

## Matrices

How to add, subtract and multiply matricesHow to perform a linear combination of matrices

How to calculate the inverse of a two by two matrix

How to calculate the inverse of a three by three matrix

## Trigonometry

How to convert between radians and degreesHow to find trigonometric ratios

How to solve trigonometric equations

What are the laws of Sine and Cosine

How to graph sine and cosine functions

How to write equations of sine and cosine functions from graph

How to determine the symmetry and the periodicity of trigonometric functions

## Conic sections

How to find properties of parabolas and hyperbolasHow to graph parabolas and hyperbolas

What are the properties of circles and ellipses

How to graphs circles and ellipses

How to convert equations of conic sections from general to standard form

## Complex numbers

How to add, subtract, multiply and divide complex numbersHow to determine absolute values of complex numbers

How to compute the powers of i

How to add and subtract in the complex plane

How to determine absolute values in the complex plane

Midpoints and distance in the complex plane

How to find the modulus and argument of a complex number

How to convert complex numbers between rectangular and polar form

## Probability

How to calculate probabilities of eventsHow to use combinations and permutations

How to identify independent or dependent events

How to find conditional probabilities

How to find probabilities using the addition rule

How to identify discrete and random variables

How to determine expected values of random variables

How to find probabilities using the binomial distribution

How to find mean, variance and standard deviation of binomial distributions

How to use the central limit theorem

How to find values of normal variables

How to use normal distributions to approximate binomial distributions