Math 0110 - Intermediate Algebra Fall 2016 Exam 3
NAME
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STUDENT ID
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SECTION
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INSTRUCTOR
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November 17, 2016
SCORE
#1-22:
#23-24:
/88
/12
Total:
/100
INSTRUCTIONS
1. DO NOT OPEN THIS EXAM UNTIL YOU ARE TOLD TO DO SO.
2. CAREFULLY MARK YOUR STUDENT ID ON YOUR SCANTRON.
3. This exam has 8 pages, including the cover sheet. There are 22 multiple-choice questions, worth 4 points
each, and 2 workout questions, worth a total of 12 points. No partial credit will be given on the multiple
choice questions.
4. You will have 60 minutes to complete this exam. No notes or books are allowed. TI-30Xa and TI-30XIIS
scientific calculators are allowed. NO other calculators are allowed.
5. When you are finished, check your work carefully. Then, slide your scantron inside the exam packet before
returning the exam to YOUR instructor.
Section
01
03
04
05
Time
8:00 am
9:00 am
10:00 am
11:00 am
Section
06
07
08
09
10
Instructor
Bueno
Andrade
McCord
McCormick
Time
2:00 pm
12:00 pm
1:00 pm
1:00 pm
2:00 pm
Instructor
Gutteridge
McCord
Wang
DeSouza
Wang
USEFUL FORMULAS
•
a2 + b2 = c2 , for a right triangle with hypotenuse c and sides a, b.
•
In a triangle ABC, A + B + C = 180◦
•
Perimeter of a Rectangle:
•
m=
•
y = mx + b
•
y − y1 = m(x − x1 )
•
A2 − B 2 = (A + B) (A − B)
•
A3 + B 3 = (A + B) A2 − AB + B 2
•
A3 − B 3 = (A − B) A2 + AB + B 2
•
(A + B) = A2 + 2AB + B 2
•
(A − B) = A2 − 2AB + B 2
•
P = 2l + 2w
y2 − y1
x2 − x1
2
2
Quadratic Formula: x =
−b ±
√
b2 − 4ac
2a
Section
11
13
15
25
Time
3:00 pm
10:00 am
1:00 pm
11:00 am
Instructor
McCormick
Bueno
Andrade
Gutteridge
2
MATH 0110 Fall 16 Exam 3
MULTIPLE CHOICE. Mark your answers on the scantron. Partial credit will not be given.
1. Solve for b:
(b + 5)(b + 6) = 12
a
b = −7, −6
b
b = −9, −2
c
b = 6, 7
d
b = −9, 2
e
b = 2, 9
2. Perform the indicated operations and simplify:
a
14a2 − 14
b
2a2 + 8
c
2a2 − 6
d
−4a2
e
−4a2 + 14
3. Multiply (5x − y)2
a
25x2 − y 2
b
25x2 + y 2
c
25x2 + 5xy + y 2
d
25x2 + 10xy − y 2
e
25x2 − 10xy + y 2
4. Factor completely kw + 7k − 2w − 14
One of the factors is:
a
k−2
b
k+2
c
w−7
d
k+7
e
w−2
(5a2 − 3) − (−3a2 − 4) − (6a2 − 7)
3
MATH 0110 Fall 16 Exam 3
5. Factor completely: (x − 6)2 + 4(x − 6) − 60
One of the factors is:
a
x − 12
b
x−4
c
x−6
d
x + 10
e
x − 10
6. Evaluate the expression:
a
1
b
6
c
7
d
11
e
0
5m0 + 6
7. Simplify and write your answer using positive exponents only:
a
−
a6
8b7
b
−
a9
6b12
c
−
a9
8b12
d
−
a6
2b7
e
−
a27
6b64
8. Find the GCF of
a
2ab
b
3ab
c
6a3 b3 c
d
6ab
e
6abc
30a3 bc,
24a2 b2 , and
54ab3
3
b−4
− −3
2a
4
MATH 0110 Fall 16 Exam 3
9. Simplify and write the answer using positive exponents only:
a
b
1
x12 b3
1
x 4 b3
c
−x12 b3
d
−b3
x4
e
x4
b3
10. Factor completely: 2b2 − b − 3
One of the factors is:
a
2b − 3
b
2b − 1
c
b−1
d
b+3
e
None of the above
11. Multiply and simplify, if possible:
a
6x3 + 5x2 + 11x + 20
b
6x3 − 3x2 + 15x + 4
c
8x2 − x + 20
d
6x3 − 4x2 + 5
e
None of the above
12. Factor m2 − 5m − 50
One of the factors is:
a
m−5
b
m+5
c
m + 10
d
m − 25
e
m−2
(3x + 4)(2x2 − x + 5)
x2 (x2 b)−3
5
MATH 0110 Fall 16 Exam 3
13. Rewrite the following using a single exponent and simplify:
2
y 5a (y 5a )2
y 5a+6
−6
a
y 5a
b
y 25a−6
c
y 10a−6
d
y 10a+6
e
y 25a+6
14. Factor (x + 1)2 − 9
One of the factors is:
a
x+3
b
x−3
c
x−4
d
x−2
e
Cannot be factored
15. Multiply and simplify:
a
60r48 s144
b
60r14 s10
c
15r15 s10
d
15r14 s10
e
60r15 s10
(10r8 s6 )(2rs4 )(3r6 )
16. Simplify and write your answer using positive exponents only:
a
−72a24 b16
b
6a18 b8
c
−72a14 b11
d
−54a24 b16
e
−54a21 b14
(−2a6 b4 )3 (−3a3 b2 )2
6
MATH 0110 Fall 16 Exam 3
17. Simplify and write your answer using positive exponents only:
a
4y 14
b
8y 14
c
3y 3
d
14y 14
e
8y 3
18. Factor 16h2 − 81
One of the factors is:
a
4h + 9
b
4h + 3
c
4h − 3
d
2h + 9
e
2h − 3
19. Factor the expression and simplify:
One of the factors is:
a
6x + 7
b
4x + 3
c
6x − 5
d
8x − 7
e
Cannot be factored
20. Factor 2m4 + 250m
One of the factors is:
a
m−5
b
m + 25
c
m2 + 10m + 25
d
m2 + 5m + 25
e
m2 − 5m + 25
64x2 − 112x + 49
(2y 5 )4
2y 6
7
MATH 0110 Fall 16 Exam 3
21. Factor x4 − 16
One of the factors is:
a
x2 − 2
b
x+4
c
x−4
d
x+2
e
x2 + 2
22. Factor completely: 6p2 + 7p − 3.
One of the factors is:
a
2p + 1
b
p−2
c
2p − 1
d
3p − 1
e
6p − 1
WORKOUT. Show all your work below. Partial credit may be given. Enclose your final answers in boxes.
23. Solve the equation for a:
7a5 = 28a3
MATH 0110 Fall 16 Exam 3
24. Given f (x) = x2 − 5x + 3, find the following and simplify:
(a) f (a + h)
(b) f (a)
(c) f (a + h) − f (a)
Before submitting: (1) Check your work; (2) Be sure that your name and ID are on the front of the test packet;
(3) Be certain that you have completely filled in the scantron; (4) Slide the scantron into the test packet.
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