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Math Exam - Autumn 2006, Exams of Pre-Calculus

University of Washington (UW) - SeattlePre-Calculus

The final exam for math 120 from autumn 2006. The exam covers various math topics including linear functions, geometry, calculus, and algebra. Students are allowed to use a calculator and one page of notes, and must show all work for full credit. The exam consists of 8 questions and lasts for 180 minutes.

Typology: Exams

Pre 2010

Uploaded on 03/10/2009

koofers-user-309
koofers-user-309 🇺🇸

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Math 120 - Autumn 2006
Final Exam
December 9, 2006
Name (please print):
Section: Student ID Number:
Signature:
1 10
2 10
3 10
4 10
5 10
6 10
7 10
8 10
Total 80
•Complete all questions.
•You may use a calculator during this examination. Other electronic devices are not al-
lowed, and should be turned off for the duration of the exam.
•If you use a trial-and-error or guess-and-check method, or read a numerical solution from
a graph on your calculator when an algebraic method is available, you will not receive
full credit.
•You may use one hand-written 8.5 by 11 inch page of notes.
•Show all work for full credit.
•You have 180 minutes to complete the exam.
•Good luck!
..
pf3
pf4
pf5
pf8
pf9

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Math 120 - Autumn 2006

Final Exam

December 9, 2006

Name (please print):

Section: Student ID Number:

Signature:

Total 80

  • Complete all questions.
  • You may use a calculator during this examination. Other electronic devices are not al- lowed, and should be turned off for the duration of the exam.
  • If you use a trial-and-error or guess-and-check method, or read a numerical solution from a graph on your calculator when an algebraic method is available, you will not receive full credit.
  • You may use one hand-written 8.5 by 11 inch page of notes.
  • Show all work for full credit.
  • You have 180 minutes to complete the exam.
  • Good luck!
  1. Jo is selling tickets to a concert. She knows that the number of tickets sold will be a linear function of the price of the ticket. If the price is $10.00, then she will sell 800 tickets. For each $1.12 increase in price, 45 fewer tickets will be sold. What should Jo set the price at in order to make the most money?
  1. Gertrude is running clockwise around a circular track, starting at the point shown in the figure. She runs at a constant 5 meters per second. She takes 91 seconds to reach the northernmost point of the track, and 95 seconds to complete one lap. How far from her starting point is she after running for 8.5 minutes?

N

Gertrude

  1. Let h(x) = x^2 + 4 and g(x) =

{ −√ 3 , if x ≤ 10 x , if x > 10

(a) Find the multipart rule for h(g(2x)).

(b) Evaluate and simplify

h(3a) − h(2a) a

. (Simplify as much as possible)

  1. A space probe lands on a distant planet. The temperature sensor in the probe determines that the temperature on the planet is a sinusoidal function of the time. Two hours after landing, the temperature was at its maximum, 52 ◦C. The temperature then decreased, and 7.6 hours after landing reached its minimum, -108 ◦C. In the first 24 hours after landing, how much time is the temperature below 10 ◦^ C?
  1. At midnight on January 1, 2000, the population in Newberg was 1325 and the population in Kowplunc was 550. The population of Newberg quadruples every 15 years. At mid- night on January 1, 2005, the population in Kowplunc was twice the size of the population of Newberg. When will the population of Kowplunc be exactly 20,000? (Give your answer in years after January 1, 2000.)