Solve each equation…………………………………..

Math 012 Final Examination

Answer Sheet

Spring 2019

Math 012 Intermediate Algebra

Name______________________________

Final Examination: Spring 2019

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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Math 012 7985 Final Exam Spring 2019

ID: 41

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Solve each equation.

1) 5(4 – 5n) + n = -4n + 5(2n – 2)

2)

5

19

101

x+ x=

4

5

10

Solve each inequality, write its solution set in interval notation, and graph the solution set on a

number line.

3) 2(7x – 1) + 4x < -5(-3x - 6) + 4
4) -b +
1 5
£
2 6
Solve each compound inequality, write its solution set in interval notation, and graph the
solution set on a number line.
5) -5 < 6x - 5 £ 37
6)
1
1
11
£- k<
4
2
12
Write the equation of the line described in standard form, Ax + By = C, where A, B, and C are
integers.
5
7) through: (5, -3), perpendicular to y = x + 3
8
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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) 5x - 4 y = 20
Show all work as you solve the linear modeling problem below.
9) In 1978, 34.1% of American adults described themselves as regular cigarette smokers. By 2018,
only 15.7% of American adults described themselves as regular cigarette smokers. Write a linear
equation that models this decline in smoking. Let x represent the number of years after 1978 and
let y represent the percentage of American adults who described themselves as regular cigarette
smokers.
Simplify. Your answer should contain only positive exponents.
3 4
4 3
10) 3a b × 5a b
3 0
11)
3x y × -2 y
-4x y
-2 3 -3
12) (4x y
)
3
2
0 3 -4
13) x y × (2x y
-5 2
)
Perform the indicated operation and simplify.
14) (8n 3 + 5n 4 - 2n) - (4n 3 + 8n 4 - n)
Multiply as indicated and simplify.
15) (4b + 1)(8b 2 - b - 7)
Worksheet by Kuta Software LLC
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Solve the equation by factoring.
16) 3 p 2 - 28 = 5 p
Solve the equation by completing the square.
17) k 2 + 4k - 67 = 4
Solve the equation by use of the quadratic formula.
18) 5x 2 + 2x = 6
State the excluded values for the following expression. Then simplify the expression.
19)
x 2 + 3x + 2
x 2 - 5x - 6
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-3
1
+1=
n +n-6
n-2
2
Simplify the radical expressions.
21)
125x 3 y 4 z 2
22)
(
2+
5 )( 2 - 5 5 )
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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) 5 +
3x - 11 = x
Show all work as you solve the following problems and write complete answers, including
appropriate units.
24) Amanda left home and traveled toward the
town hall. One hour later her sister Gabriella
left home traveling 10 km/h faster in an effort to
catch up to her. After two hours Gabriella
finally caught up. Find Amanda's average
speed.
25) Christine put $54,000 in an education
account on the day her daughter was born.
If the account earned 4.65% interest
compounded monthly, 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
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