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Math 012 Final Examination
Answer Sheet
Fall 2017
Math 012 Intermediate Algebra
Name______________________________
Final Examination: Fall 2017
Instructor __________________________
1
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam and
you may use a calculator. Record your answers and show your work on this document. You must show your
work to receive credit: answers given with no work shown will not receive credit. You may type your work
using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose
to scan your work, note that most scanners have a setting that will allow you to create one PDF document from
all of the pages of your Answer Sheet – please make use of this option if it is available on your scanner.
Whether you type your work or write it by hand, show work neatly and correctly, following standard
mathematical conventions. Each step should follow clearly and completely from the previous step. If
necessary, you may attach extra pages.
You must complete the exam individually. Neither collaboration nor consultation with others is allowed.
Your exam will receive a zero grade unless you complete the following honor statement.
Please sign (or type) your name below the following honor statement:
I have completed this final examination myself, working independently and not consulting
anyone except the instructor. I have neither given nor received help on this final examination.
Name _______________
Date___________________
Math 012 Final Examination
Answer Sheet
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Number
Fall 2017
Solution
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Math 012 Final Examination
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Fall 2017
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Fall 2017
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Use the “drag and drop” line and points to graph your line.
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Fall 2017
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Math 012 6981 Final Exam Fall 2017
ID: 18
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Solve each equation.
1) 2(6x + 2) = 3(8 + 3x) – 8
2)
13
10
33
b+ b=
6
3
2
Solve each inequality, write its solution set in interval notation, and graph the solution set on a
number line.
3) 2(6n – 5) + 3n > 4(3n – 7)
1
9
4) 2 – 3 p ³ 4
2
Solve each compound inequality, write its solution set in interval notation, and graph the
solution set on a number line.
5) 26 £ 5n + 6 < 31
6) -
44
8
32
<- x£
9
3
15
Write the standard form of the equation of the line described.
2
7) through: (-2, -3), perpendicular to y = - x - 4
5
Rewrite the equation in slope-intercept form and then use the slope and y-intercept to sketch a
graph of the line with the given equation.
8) 4x + 3 y = -9
Worksheet by Kuta Software LLC
-1-
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Show all work as you solve the linear modeling problem below.
9) Apple sold about 52 million iPods in 2007, but as iPhones became more popular, the sales of
iPods began to decrease. The number of iPods sold in 2012 was about 35 million. Write a linear
equation in slope-intercept form to model this decrease in sales. Let x stand for the number of
years after 2007 and let y stand for the number of iPods sold, in millions.
Simplify. Your answer should contain only positive exponents.
4 2
0 5
10) 5m n × 2m n
4 2
11) -
3x × x y
-1 3
4x y × 4 yx
12) (3 yx
-2 4
)
2 -2 3
13) -x y × (-x y
-1 2
-2
)
Perform the indicated operation and simplify.
14) (3n - 8 - 4n 2 ) - (8 - n 4 - 2n 2 )
Multiply as indicated and simplify.
15) (5 p + 3)(4 p 2 - 7 p + 6)
Solve the equation by factoring.
16) 3k 2 = 24 + 14k
Worksheet by Kuta Software LLC
-2-
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Solve the equation by completing the square.
17) n 2 - 24n + 53 = -11
Solve the equation by use of the quadratic formula.
18) 3n 2 - 5 = -4n
State the excluded values for the following expression. Then simplify the expression.
v 2 - 7v - 30
19) 2
v + 12v + 27
Solve the equation and show the check of the potential answer(s). If any answers are excluded
values, state this on your answer sheet.
20)
n-1
5
=1- 2
n - 9n + 20
n - 9n + 20
2
Simplify the radical expressions.
21)
175h 2 j 3 k 4
22) (-3 +
3 )(3 - 5 3 )
Solve the equation and show the check of the potential answer(s). If any answers are
extraneous solutions, state this on your answer sheet.
23) x = 3 +
6x - 11
Worksheet by Kuta Software LLC
-3-
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Show all work as you solve the following problems and write complete answers, including
appropriate units.
24) Mark left school and drove east. Mike left
two hours later driving 22 km/h faster in
an effort to catch up to him. After three
hours Mike finally caught up. Find
Mark's average speed.
25) Maria put $53,000 in an education account
on the day her daughter was born. If the
account earned 4.15% interest
compounded quarterly, what was the total
in the account when her daughter turned
18? Round the final answer to the nearest
cent.
Worksheet by Kuta Software LLC
-4-
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...
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