Practice Exam 2 - Intermediate Algebra - 2005 | MATH 1010, Exams of Algebra

Material Type: Exam; Class: Intrm Algebra; Subject: Mathematics; University: University of Utah; Term: Summer 2005;

Typology: Exams

Pre 2010

Uploaded on 08/31/2009

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Practice Exam 2
Math 1010-001 Name:
July 19, 2005
This practice exam is a modified copy of a rough draft of the real exam. Do not expect
the real exam to be exactly like this. It is likely that there will be fewer problems but
that a few problems may become harder. It is also possible that I may decide that a
particular type of problem is too difficult or not as important as something elso so it may
be dropped from the exam. Solutions to this practice exam will be availible after the class
on Wednesday. The reveiw for the test will be on Wednesday as well. Since this is so
similar to the real thing let me know if something is unclear.
Read all of the following information before starting the real exam:
Show all work, clearly and in order, if you want to get full credit. I reserve the
right to take off points if I cannot see how you arrived at your answer (even if your
final answer is correct).
This exam is closed book and no calculators are allowed.
Justify your answers algebraically whenever possible to ensure full credit. You
may also use pictures whenever appropriate. Remember that you are trying to
communicate to me that you understand the material. I am not a mind reader.
Circle or otherwise indicate your final answers.
Please keep your written answers brief; be clear and to the point. I will take points
off for rambling and for incorrect or irrelevant statements.
This test has 12 problems and is worth 100 points, plus some extra credit at the
end. It is your responsibility to make sure that you have all of the pages!
Good luck!
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Practice Exam 2

Math 1010-001 Name: July 19, 2005

This practice exam is a modified copy of a rough draft of the real exam. Do not expect the real exam to be exactly like this. It is likely that there will be fewer problems but that a few problems may become harder. It is also possible that I may decide that a particular type of problem is too difficult or not as important as something elso so it may be dropped from the exam. Solutions to this practice exam will be availible after the class on Wednesday. The reveiw for the test will be on Wednesday as well. Since this is so similar to the real thing let me know if something is unclear.

Read all of the following information before starting the real exam:

  • Show all work, clearly and in order, if you want to get full credit. I reserve the right to take off points if I cannot see how you arrived at your answer (even if your final answer is correct).
  • This exam is closed book and no calculators are allowed.
  • Justify your answers algebraically whenever possible to ensure full credit. You may also use pictures whenever appropriate. Remember that you are trying to communicate to me that you understand the material. I am not a mind reader.
  • Circle or otherwise indicate your final answers.
  • Please keep your written answers brief; be clear and to the point. I will take points off for rambling and for incorrect or irrelevant statements.
  • This test has 12 problems and is worth 100 points, plus some extra credit at the end. It is your responsibility to make sure that you have all of the pages!
  • Good luck!

1

1. (10 points) Your friend goes to the auto parts store to get a distributor cap and

rotor. She tells you that together they were $30 and the rotor is $5 less than half the price of the cap. Instead of asking your friend how much the each item was, you decide to figure it out yourself, so you look cool. a. (5 pts) Set up a system of linear equations that describe this situation. (don’t solve them)

b. (5 pts) Solve the system of linear equations using your method of choice.

5. (10 points) On video games it is not uncommon for characters to jump their own

height and more. For a 6 foot tall human how fast would they have to leave the ground to jump 9 feet (150% of their height) into the air. Remember that

h(t) = h 0 + v 0 t − 16 t^2 v(t) = v 0 − 32 t

(Be sure to study the homework problem 28-31 from assignment 6).

6. (10 points) Simplify

x − 3

x^2 + x − 12

7. (10 points) Simplify

x^2 + x − 12

×

x + 4

10. (10 points) You have just landed on a small planet where gravity is 161 what it is

on earth. Because of this the projectile motion equations become.

h(t) = h 0 + v 0 t − 1 t^2 v(t) = v 0 − 2 t

To celebrate your landing you throw a rock straight up it the air with an initial velocity of 30 f t/sec. How high does the rock go?

11. (4 points) Solve the folllowing equation.

3 x − 4 = 7

12. (4 points) Factor p(x) = x^2 + x − 20