MATH1051: Exam 1
Student ID:
Name:
Section:
TA:
Take home exam due 01:25pm Monday, September 28, 2009 at the start of lecture.
1. Check that you have all the questions (mentioned in the grade-table alongside)
on your exam.
2. This take home exam is open book and notes and you may use a scientific
calculator, but you may not get help from anyone.
3. Write your answer in the space provided for each problem. If you need additional paper attach it to these sheets and clearly identify the problem number.
4. To receive credit for your correct answers you must show the detailed mathematical steps needed to arrive at those answers.
5. Be very careful as you construct your answers and CHECK YOUR SOLUTIONS for errors. This being a take-home exam, even a simple sign mistake
can be costly.
6. A copy of this exam may be downloaded from:
http://www.math.umn.edu/~vishal/teaching/09f/exams/exam01q.pdf
7. Before submitting the exam sign your name in the space provided below to
certify that you did this exam by yourself:
Signature:
Question
Points
1
10
2
10
3
10
4
10
5
10
6
10
7
10
8
10
9
10
10
10
Total:
100
Score
√
1. (10 points) Simplify Completely: 11 −
Vishal Saraswat
32 · 16 + 9 + 3
.
12 − 8 ÷ 4 · 2 + 2 · 22
MATH1051: Precalculus I, Fall 2009
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MATH1051: Exam 1
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p
p
2. (10 points) Simplify Completely: 3 3 32x10 y 20 + 5x2 y 5 3 4x4 y 5 .
Vishal Saraswat
MATH1051: Precalculus I, Fall 2009
Page 2 of 10
MATH1051: Exam 1
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3. (10 points) Calculate the area of the following shape. It is an equilateral triangle on top of a square. The
perimeter of the entire shape is 10 feet. Round your answer to the nearest tenth.
Vishal Saraswat
MATH1051: Precalculus I, Fall 2009
Page 3 of 10
MATH1051: Exam 1
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4. (10 points) Find the quotient and remainder of 4x5 − 3x3 + 2x − 1 divided by 2x − 3.
Vishal Saraswat
MATH1051: Precalculus I, Fall 2009
Page 4 of 10
MATH1051: Exam 1
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5. (10 points) Factor completely: 42x3 − 7x2 − 105x .
Vishal Saraswat
MATH1051: Precalculus I, Fall 2009
Page 5 of 10
MATH1051: Exam 1
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6. (10 points) Perform the indicated operations and simplify:
Vishal Saraswat
Name:
3x − 2
2
−
.
2x2 − 5x − 3 x3 − 27
MATH1051: Precalculus I, Fall 2009
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MATH1051: Exam 1
7. (10 points) Solve:
Vishal Saraswat
Student ID:
Name:
1
1
x
+ 2 = −3x + (2x + 1) + .
2
3
5
MATH1051: Precalculus I, Fall 2009
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MATH1051: Exam 1
8. (10 points) Solve: x +
Vishal Saraswat
Student ID:
Name:
1
= 2.
x
MATH1051: Precalculus I, Fall 2009
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MATH1051: Exam 1
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9. (10 points) A freight train and a passenger train must share the same track. The freight train leaves a station
at 9:00 am and travels with a speed of 30 mph. One hour later, the passenger train leaves the station and travels
with a speed of 40 mph in the same direction. To avoid a crash, at what time and where (distance down the
track) must the railroad dispatcher move the freight train to a side track?
Vishal Saraswat
MATH1051: Precalculus I, Fall 2009
Page 9 of 10
MATH1051: Exam 1
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10. (10 points) Tickets to a show cost $2 for kids, $3 for seniors, and $5 for adults. If there were twice as many kids
as seniors, and if 91 tickets were sold and $311 was collected, how many of each type of ticket was sold?
Vishal Saraswat
MATH1051: Precalculus I, Fall 2009
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