# 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

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Call our office to register. 512-453-7272