©Lynch, September 2015
Page 1 of 4
Math 150, Fall 2015
Exam 1 – Form A
Multiple Choice
Sections 1A-2B
First Name:
Last Name:
Section Number:
Student ID number:
Directions:
1. No calculators, cell phones, or other electronic devices may be used, and they must all be put away
out of sight.
2. There are 10 multiple choice problems on this exam, and each problem is worth 5 points. No partial
credit will be given.
3. There will be 5 bonus points awarded if you do all of the following (no partial credit):
ˆ bring the correct Scantron form,
ˆ correctly fill out your Scantron including your First and Last name on the TAMU class roster, the
Course #, Section #, student ID number, Signature, Date: Sept 2015, Exam 1, and your exam
version, Form A.
ˆ bring your student ID to the exam, and
ˆ turn in your exam and Scantron on time.
4. Together with the other part of the exam there will be a total of 110 points possible.
5. The Scantron will not be returned to you, so please mark your answers on this exam paper.
6. You may not discuss the contents of the exam with anyone until the exam is returned in class.
THE AGGIE CODE OF HONOR
“On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work.”
Signature:
Note: You are authorized to use a pencil, eraser, TAMU Scantron, and your own TAMU
student ID; use of anything else is a violation of the honor code. If you need any extra paper,
please ask your instructor or TA; do not use your own.
Scantron: Make sure the following is filled out correctly on your Scantron:
Last Name, First Name, Course #, Section #, UIN, Signature, Date: Sept 2015, Exam 1, Form A
©Lynch, September 2015
Math 150 – Exam 1A
1. Determine which property of the real numbers is NOT used:
2(1 + 3) +− 6 = (2 + 6) +− 6 = 2 + (6 +− 6) = 2 + 0 = 0
(a) Associative Property of Addition
(b) Commutative Property of Addition
(c) Distributive Property of Multiplication over Addition
(d) Additive Identity
(e) Additive Inverse
2. For the complex number z = −3i + 4, calculate |z| · z · (1 − i).
(a) 5 − 35i
(b) 35 − 5i
√
√
(c) 7 7 − 7i
(d) 31 + 17i
(e) −25 + 25i
3. Rationalize and fully simplify the expression: √
3
(a)
(b)
(c)
(d)
(e)
5
5
8(x−2)2
√
3
8(x−2)2
8(x−2)2
√
3
82 (x−2)
8(x−2)
√
5 3 x−2
2(x−2)
√
√
5( 3 x+ 3 2)
2(x−2)
√
√
3
3
5( x2 + 22 )
2(x−2)
5
4. Solve the equation 2x2 − 5x − 4=0 over the complex numbers.
(a)
(b)
(c)
(d)
(e)
√
5± 57
4
√
5± 7i
4
√
−4± 84
10
√
5±3 19
4
√
−5± 57i
4
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©Lynch, September 2015
Math 150 – Exam 1A
5. Solve the inequality and express your answer using interval notation:
2x2 +8
x2 −4x ≥ 2.
(a) (∞, −1] ∪ (0, 4)
(b) (0, 4)
(c) [−1, 0) ∪ (4, ∞)
(d) (−∞, 0) ∪ (4, ∞)
(e) (4, ∞)
6. Fully simplify −32 + 12 ÷ 3 ∗ 4 − (11 + 4)0 + (7 − 9)2 .
(a) 10
(b) 28
(c) -5
(d) 11
(e) 14
√
√
√
√
3
7. Fully simplify: 8x3 + 16x4 − x 3 54x + 7 2x3
√
(a) 8x 6 2x
√
(b) 8x 2x
√
√
(c) 9x 2x + 5x 3 2x
√
√
(d) 11x 2x + 5x 3 2x
√
√
(e) 9x 2x − x 3 2x
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©Lynch, September 2015
Math 150 – Exam 1A
Page 4 of 4
8. Solve the following inequality, and express your answer in interval notation:
|3x − 5| − 7 ≥ 4.
(a) (−∞, −2] ∪ 16
3 ,∞
(b) 16
3 ,∞
(c) −2, 16
3
(d) [−2, ∞)
(e) −∞, −16
∪ [2, ∞)
3
9. The total surface area of a right circular cylinder is given by the equation s = 2πr(r + h), where r is the
radius and h is the height. Solve this equation for the height h.
(a) h = s − r
(b) h =
(c) h =
(d) h =
s−r
2πr
s−2πr
r
s
2πr −
r
(e) Cannot be solved for h
10. Fully simplify the expression:
(a)
2x9
y4
(b)
8x9
y5
(c)
8x24
y4
(d)
8x9
y4
(e) 8x9 y 3
−1
1
x2
y2
−1
0
3
2
4
4 (y ) (x )
(2x)3
©Lynch, September 2015
Page 1 of 4
Math 150, Fall 2015
Exam 1 – Form A
Work Out Problems
Sections 1A-2B
First Name:
Last Name:
Section Number:
Student ID number:
Directions:
1. Show all your work neatly and clearly mark your final answer. You will be graded not only on the final
answer, but also on the quality and correctness of the work leading up to it.
2. No calculators, cell phones, or other electronic devices may be used, and they must all be put away
out of sight.
3. There are 10 problems on this exam worth 5 points each, and a bonus question worth 5 points. You
must show your work to receive credit.
4. Together with the other part of the exam there will be a total of 110 points possible.
5. You may not discuss the contents of the exam with anyone until the exam is returned in class.
THE AGGIE CODE OF HONOR
“On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work.”
Signature:
Note: You are authorized to use a pencil, eraser, and your own TAMU student ID; use of
anything else is a violation of the honor code. If you need any extra paper, please ask your
instructor or TA; do not use your own.
Exam Part
Points Earned
Points
Multiple Choice
55
Page 2:
20
Page 3:
20
Page 4:
15
Exam 1 Grade
100
©Lynch, September 2015
Math 150 – Exam 1A
1. In the real numbers, fully simplify the expression
2. Rationalize and fully simplify:
3. Fully simplify the expression
p
4
32x5 y 12 z 8 .
√5 .
5−4
9
x− x
−2
3
+
x−1
x
10
7
4
1
4. Factor the expression completely: x 3 − 5x 3 − 9x 3 + 45x 3
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©Lynch, September 2015
Math 150 – Exam 1A
5. Divide the following using polynomial long division: x4 − 4x3 + x − 7 ÷ x2 − 2x
6. Fully simplify the expression:
5(x+h)−1 −5(x)−1
h
7. Perform the operations and simplify.
x3 −27
9x
3x+15
3x2 · x2 −10x+21 ÷ x2 −7x .
Bonus Question: Give the restrictions: x 6=
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©Lynch, September 2015
Math 150 – Exam 1A
Page 4 of 4
8. If possible, solve the equation 3x4 + 5x2 − 12 = 0 over the complex numbers. If there is no solution,
write none.
x=
9. If possible, solve the equation
y−2
y 2 −3y
=
2
y 2 −9 .
If there is no solution, write none.
y=
10. If possible, solve the equation
x=
√
3x + 13 − 3 = x. If there is no solution, write none.