Algebra II

Final Exam Study Guide

To succeed on the Final Exam, you should be able to do the following:

Factor and Solve Polynomials

p. 349 #33-67 (factoring)

p. 349 # 68-85 (solving) – synthetic division and finding zeros (real and complex)

p. 362 # 33-44

p. 369 # 21-34

to help you solve:

exponential properties: p. 326 # 32-47

end behavior: p. 334 # 49-64

combining like terms: p. 341 # 13-26

multiplying polynomials: p. 341-342 # 27-52 – FOIL specific: # 31, 32, 53, 54, 56, 57, 58, 60

dividing polynomials: p. 356 # 15-38

Using Factors: p. 357 # 39-54

Finding possible rational zeros: p. 356 # 15-22

Simplifying Radical Expressions

roots and rational exponents: p. 404 # 13-40

simplifying expressions (mix of roots and rational exponents): p. 411 # 22-81

SOLVING RADICAL EQUATIONS:

pp. 441-442

# 23-31 (exp)

# 32-46 (radical)

# 47-54 (harder)

Evaluating logarithmic expressions:

page 490 # 24-35, 48-55

pp. 496-497 # 14-73 (lots of good stuff in here)

solving logarithmic equations (involves evaluating and simplifying logarithmic expressions): pp. 505-506 # 25-60

Rational Functions and Expressions:

multiplying and dividing rational expressions (involves some factoring): p. 558 # 16-27

add and subtract complex fractions (COMMON DENOMINATOR!!): p. 566 # 26-46

solving rational equations: pp. 571-572 # 21-50

Graphing Rational Functions:

p. 544 # 23-40

p. 551 # 26-37

To help you graph:

HA and VA: p. 543 # 11-19

x-int and VA: p. 550 # 11-19

***remember: you need to locate and identify x-int, y-int, HA, VA***

Graphing Conic Sections:

distance and midpoint formulas: p. 592 # 17-31

Parabolas: p. 599 # 38-49

Circles: p. 605 # 26-37

Circles with center not at the origin: p. 628-629 # 13, 14, 21, 32, 34, 41, 52, 56, 59

Ellipses: p. 613 # 30-41 (from equation), # 51-68 (from parameters)

(parts of ellipses: p. 612 # 18-29)

Hyperbolas: p. 619 # 31-42 (from equation), # 56-63 (from parameters)

(parts of hyperbolas: p. 619 # 25-30)