Algebra II Final Exam Review

Exponents and Logs

100

Evaluate the exponential equation.

7^{2x+ 1} = 7^{3x - 2}

x = -3

200

Suppose the f(x) = 5^x

When f(x) =1/25, what is the value of x?

x = -2

300

Evaluate the exponential equation.

e^x2 = e^11x

x = 0, 11

400

Change the equation from exponential to logarithmic form.

16^¾ = 8

What is log₁₆8 = 3/4 

500

Solve the log below.

log₁₂1728    

What is 3

Fun with Logs

100

Change the equation from logarithmic to exponential form.

Log416 = 2

What is 4² = 16

200

Solve the log below.

log₁₃169

What is 2

300

Expand the logarithm.

log₈(x * y * z³)

What is log₈x + log₈y + 3log₈z

400

Expand the logarithm.

ln(x⁶ / y³)

What is 6lnx - 3lny

500

Expand the logarithm.

log₂(b⁸√a )   

What is 8log₂b + 1/2log₂a

We Love Triangles

100

Solve the 45-45-90 triangle on the board.

What is 17√ 2

200

Solve the triangle on the board for y. 

What is y = 10

300

Solve the triangle on the board for y.

What is y = 4√ 3

400

An isosceles right triangle has a hypotenuse that is 8√ 2  meters long. What is the length of the leg?

what is 8

500

In a 30-60-90 triangle, the longest leg is 6, what is the length of the shortest leg and hypotenuse?

What is 2√ 3 and 4√ 3

Trig is the Best

100

This trig function is opposite over hypotenuse.

What is sine?

200

This trig function is the opposite of cosine

Secant (sec)

300

Find the indicated angle to the triangle on the board.

What is 32.7 degrees

400

Solve the triangle on the board for the missing side.

What is x = 11.03?

500

A young boy lets out 30 feet of string on his kite. If the angle of elevation from the boy to the kite is 27 degrees, how high is the kite? Round your answer to the nearest tenth.

What is 13.6?

Potpourri

100

The royal wedding was held earlier this year between Prince Harry and

Who is Megan Markle

200

In Finding Nemo, this is the name of Nemo's Dad

Who is Marlin

300

This is the number of hearts an octopus has

What is 3

400

This person is supposedly engaged to Ariana Grande.

Who is Pete Davidson

500

Name Five State Captials. 

What are: 

1. Alabama - Montgomery

2. Alaska - Juneau

3. Arizona - Phoenix

4. Arkansas - Little Rock

5. California - Sacramento

6. Colorado - Denver

7. Connecticut - Hartford

8. Delaware - Dover

9. Florida - Tallahassee

10. Georgia - Atlanta

11. Hawaii - Honolulu

12. Idaho - Boise

13. Illinois - Springfield

14. Indiana - Indianapolis

15. Iowa - Des Moines

16. Kansas - Topeka

17. Kentucky - Frankfort

18. Louisiana - Baton Rouge

19. Maine - Augusta

20. Maryland - Annapolis

21. Massachusetts - Boston

22. Michigan - Lansing

23. Minnesota - St. Paul

24. Mississippi - Jackson

25. Missouri - Jefferson City

26. 
    

    • Montana - Helena

    • Nebraska - Lincoln

    • Nevada - Carson City

    • New Hampshire - Concord

    • New Jersey - Trenton

    • New Mexico - Santa Fe

    • New York - Albany

    • North Carolina - Raleigh

    • North Dakota - Bismarck

    • Ohio - Columbus

    • Oklahoma - Oklahoma City

    • Oregon - Salem

    • Pennsylvania - Harrisburg

    • Rhode Island - Providence

    • South Carolina - Columbia

    • South Dakota - Pierre

    • Tennessee - Nashville

    • Texas - Austin

    • Utah - Salt Lake City

    • Vermont - Montpelier

    • Virginia - Richmond

    • Washington - Olympia

    • West Virginia - Charleston

    • Wisconsin - Madison

    • Wyoming - Cheyenne