Algebra II Semester Review_Fall 2017

Course #: Alg2RevFall17

North Austin, Texas-MTAT Office

Tuesday, December 12, 2017

Algebra II Fall Review

Tues, 12/12 7:00p-9:00p
Wed, 12/13 7:00p-9:00p

This is a 4-hour review split into two days. Students must attend ALL dates listed.

Review materials will be provided.  Topics covered will include:

Complex Numbers:

  • Simplify radical expressions containing negative radicands and write as a complex number
  • Simplify powers of i
  • Add, subtract, multiply, and divide complex numbers (including rationalization)

Sets of Numbers:

  • Arrange the following sets of numbers in a hierarchy: complex, pure imaginary, real, rational, irrational, integers, whole, and natural
  • Name all sets to which a value belongs

Polynomials:

  • Factor polynomials including: greatest common factor, difference of squares, sum of cubes, difference of cubes, trinomials, and four terms
  • Divide polynomials using long or synthetic division
  • Solve polynomial equations by factoring
  • Define a polynomial equation in factored/standard form given its zeros
  • Identify the multiplicity of zeros and describe the effect of those zeros on the graph

Solve and graph absolute value equations and inequalities

Quadratics:

  • Calculate the discriminant of a quadratic equation to determine the number and type of roots
  • Solve quadratic equations using the most appropriate method
  • Quadratic equation applications

Parent Functions and Transformations:

  • Recognize the shape of the following parent functions: linear, absolute value, quadratic, cubic, square root, cube root
  • Given the graph of a function, identify the parent function
  • Given the graph or equation of a function, identify the transformations that took place
  • Given the transformations from a parent function, write the equation of the function

Functions:

  • Identify the domain, range, zeros, end behavior, increasing intervals, and decreasing intervals of a function
  • Evaluate functions
  • Operations with functions
  • Compositions of functions
  • Write the inverse of a function
  • Graph the inverse of a function as a reflection across the line y=x
  • Use compositions to verify two functions are inverses

Systems of equations applications

Matrices:

  • Addition, Subtraction, and Scalar Multiplication of Matrices
  • Augmented Matrices
  • Multiplication of Matrices
  • The Zero and Identity Matrices
  • Determinants
  • Inverse Matrices
  • Properties of Matrices
  • Matrix Equations
  • Using Matrices for Data Representations

Registration is Offline

Sorry! We are doing some maintenance to our online registration. We expect it be online again with a day or two.

Call our office to register. 512-453-7272

Student Registration