Algebra 2 Exam review

Complex Numbers

100

Evaluate: i¹⁴

-1

200

Simplify: the square root of -81

9i

300

Simplify: (3 + 2i) + (5 - 7i)

8 - 5i

400

Simplify: (2 + i)(3 - 4i)

10 - i

500

Simplify: (5 + 2i)²

21 + 20i

Factoring

100

Factor completely: x² - 9

(x + 3) (x - 3)

200

Factor: x²+5x+6

(x + 2) (x + 3)

300

Factor completely: 3x² + 12x

3x (x + 4)

400

Factor completely: 2x² + 7x + 3

(2x + 1) (x + 3)

500

Factor completely: 4x² - 25

(2x - 5) (2x + 5)

Dividing Polynomials

100

Divide: (x² + 6x + 8)/(x + 2)

(x + 4)

200

Divide: (2x² + 7x + 3)/(x + 3)

(2x + 1)

300

Give one example of a method of dividing polynomials

Polynomial Long Division OR Synthetic Division

400

Divide: (x² - 1)/(x - 1)

x + 1

500

Divide: (3x² - 12x + 12)/(x - 2)

3x - 6

Vocabulary

100

This is the set of all possible input values of a function

What is the Domain

200

This is the highest exponent value of an expression

What is the degree

300

This number is written in the form of ax+bi

What is a Complex Number 

will also accept Complex Conjugate

400

This is a polynomial function with three terms

What is a trinomial

500

These are the solutions or the x-intercepts of a function

What is Roots or Zeros

Exponentials and Log

100

Evaluate: 2⁶

64

200

This is the term for the relationship between an exponential and logarithmic functions

What is inverse function

300

Rewrite in logarithmic form: 6² = 36

Log₆(36) = 2

400

Rewrite in exponential form: log₃(81) = 4

3⁴ = 81

500

Evaluate: log(10,000)

4