SlideShare a Scribd company logo
College Algebra MATH 107 Spring, 2020
Page 1 of 11
MATH 107 FINAL EXAMINATION
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. You must complete
the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet
provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be
shown)
Problems #22–30 are Short Answer with work required to be
shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function. 1.
______
A. Domain [– 4, 2]; Range [– 2, 4]
B. Domain [– 2, 4]; Range [– 2, 1]
C. Domain [– 2, 4]; Range [– 4 , 2]
D. Domain [0, 2]; Range [– 2, 0]
2. Solve: 3 10x x+ = − 2. ______
A. No solution
B. –2, 5
C. 5
D. –2
-2 2 4 -4
-2
-4
2
4
College Algebra MATH 107 Spring, 2020
Page 2 of 11
3. Determine the interval(s) on which the function is decreasing.
3. ______
A. (–1, 3)
B. (–2, 4)
C. (–
D. (– –
4. Determine whether the graph of 2y x= + is symmetric with
respect to the origin,
the x-axis, or the y-axis. 4. ______
A. not symmetric with respect to the x-axis, not symmetric with
respect to the y-axis, and
not symmetric with respect to the origin
B. symmetric with respect to the x-axis only
C. symmetric with respect to the y-axis only
D. symmetric with respect to the origin only
5. Solve, and express the answer in interval notation: | 5 – 6x |
A. (–
B. (–
D. [–4/3, 3]
College Algebra MATH 107 Spring, 2020
Page 3 of 11
6. Which of the following represents the graph of 8x − 3y = 24
? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2020
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line
x + 7y = 9 which passes through
the point (28, –3). 7. ______
A. 25y x=− +
B.
1
1
7
y x= − +
C.
1
3
7
y x= − −
D.
1
7
7
y x= −
8. Which of the following best describes the graph? 8. ______
A. It is the graph of a function but not one-to-one.
B. It is the graph of a function and it is one-to-one.
C. It is not the graph of a function.
D. It is the graph of an absolute value relation.
.
College Algebra MATH 107 Spring, 2020
Page 5 of 11
9. Write as an equivalent expression: log (x – 3) – 8 log y +
log 1 9. ______
A.
log( 3)
log(8 )
x
y
−
B.
2
log
8
x
y
C.
8
3
log
x
y
D. ( )log 2 8x y− −
10. Which of the functions corresponds to the graph? 10.
______
A. ( ) 2 xf x e−=
B. ( ) 2 xf x e−= +
C. ( ) 2 xf x e= −
D. ( ) 2xf x e−=
College Algebra MATH 107 Spring, 2020
Page 6 of 11
11. Suppose that for a function f, the equation f (x) = 0 has no
real-number solution.
Which of the following statements MUST be true? 11. ______
A. f is an invertible function.
B. The graph of f is a horizontal line.
C. f has no x-intercept.
D. f has no y-intercept.
12. The graph of y = f (x) is shown at the left and the graph of y
= g(x) is shown at the right. (No
formulas are given.) What is the relationship between g(x) and f
(x)?
12. ______
y = f (x) y = g(x)
A. g(x) = f (x) – 4
B. g(x) = f (x) + 4
C. g(x) = f (x + 4)
D. g(x) = f (x – 4)
2 4 -2-4
-2
-4
2
4
2 4 -2-4
-2
-4
2
4
College Algebra MATH 107 Spring, 2020
Page 7 of 11
SHORT ANSWER:
13. Multiply and simplify: (8 − i)(5 + 7i).
Write the answer in the form a + bi, where a and b are real
numbers. Answer: ________
14. Solve, and write the answer in interval notation:
7
0
9
x
x
−
−
. Answer: ________
temperature T of the soup t minutes after it is placed in the
room is given by
T(t) = 70 + 105 e – 0.075 t
Find the temperature of the soup 18 minutes after it is placed in
the room. (Round to the nearest
degree.)
Answer: ________
16. Find the value of the logarithm: 4
1
log
64
. Answer: ________
17. Solve:
4 97 49x+ = . Answer: ________
18. Suppose $4,700 is invested in an account at an annual
interest rate of 5.2% compounded
continuously. How long (to the nearest tenth of a year) will it
take the investment to double in
size? Answer: ________
19. Let f (x) = x2 − 10x + 23.
(a) Find the vertex. Answer: ________
(b) State the range of the function. Answer: ________
(c) On what interval is the function decreasing? Answer:
________
College Algebra MATH 107 Spring, 2020
Page 8 of 11
20. Consider the polynomial P(x), shown in both standard form
and factored form.
3 21 7 7 1
( ) 5 ( 1)( 3)( 5)
3 3 3 3
P x x x x x x x= − + − − = − + − −
(a) Which sketch illustrates the end behavior of the polynomial
function?
Answer: ________
(b) State the zeros of the function. Answer: ________________
(c) State the y-intercept. Answer: ________________
(d) State which graph below is the graph of P(x). Answer:
________
GRAPH A GRAPH B
GRAPH C GRAPH D
A. B. C. D.
vvvv
vvvv
vvvv vvvv
College Algebra MATH 107 Spring, 2020
Page 9 of 11
21. Let
4
)(
2
−
=
x
x
xf .
(a) State the domain. Answer: _________________
(b) State the horizontal asymptote. Answer:
_________________
(c) State the vertical asymptote(s). Answer:
_________________
(d) Which of the following represents the graph of
4
)(
2
−
=
x
x
xf ? Answer: ______________
GRAPH A. GRAPH B.
GRAPH C. GRAPH D.
College Algebra MATH 107 Spring, 2020
Page 10 of 11
SHORT ANSWER, with work required to be shown, as
indicated.
22. Let xxf −= 9)( and g(x) = x + 1.
g
f
. Show work.
(b) Find the domain of the quotient function
g
f
. Explain.
23. Points (–3, 2) and (1, 6) are endpoints of the diameter of a
circle.
(a) What is the length of the diameter? Give the exact answer,
simplified as much as possible.
Show work.
(b) What is the center point C of the circle?
(c) Given the point C you found in part (b), state the point
symmetric to C about the x-axis.
24. Find the equation for a line which passes through the points
(–7, 4) and (–9, 8). Write the
equation in slope-intercept form. Show work.
25. A salesperson earns a base salary of $1,650 per month and a
commission of 5.3% on the
amount of sales made. If the salesperson has a paycheck of
$3425.50 for one month, what was
the amount of sales for the month? Show work.
26. Let f (x) = 5x2 – 3 and g(x) = x – 4.
work.
(b) Find ( ) ( 1)f g −o . Show work.
27. Find the exact solutions and simplify as much as possible:
9x2 + 10 = 20x. Show work.
28. Given the function
1
( ) 3
7
f x x= − , find a formula for the inverse function. Show work.
College Algebra MATH 107 Spring, 2020
Page 11 of 11
29. The Travel Time bus company has determined that when x
tourists are given a particular bus
tour, the profit P (in dollars) is given by
P(x) = –0.25 x2 + 25.50x – 220
(a) What is the company’s profit if 32 tourists are given the
tour?
(b) How many tourists should be given the tour in order to
maximize the company’s profit?
Show work.
30. Solve:
2
7 12
0
6 36
x
x x
+
+ =
+ −
. Show work.
Math 107 Final ExaminationSpring 20201
Math 107 College
AlgebraName______________________________
Final Examination: Spring, 2020Instructor: Irene Doo
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 work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for
each problem.
Problems #13-21 are short answer. Record your answer for each
problem.
Problems #22-30 are short answer with work required. When
requested, show all work and write all answers in the spaces
allotted on the following pages. You may type your work using
plain-text formatting or an equation editor, or you may hand-
write your work and scan it. In either case, 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___________________
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)
(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and
work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:
College Algebra   MATH 107 Spring, 2020Page 1 of 11 MA.docx

More Related Content

Similar to College Algebra MATH 107 Spring, 2020Page 1 of 11 MA.docx

Math 107 College AlgebraName Olufemi Akinyemi Final Examination F.docx
Math 107 College AlgebraName Olufemi Akinyemi Final Examination F.docxMath 107 College AlgebraName Olufemi Akinyemi Final Examination F.docx
Math 107 College AlgebraName Olufemi Akinyemi Final Examination F.docx
alfredacavx97
 
Write solution for these problems -Is targeting only mommy blo.docx
Write solution for these problems -Is targeting only mommy blo.docxWrite solution for these problems -Is targeting only mommy blo.docx
Write solution for these problems -Is targeting only mommy blo.docx
herbertwilson5999
 
Math 107 Final ExaminationFall, 20142Math 107 College Algebra.docx
Math 107 Final ExaminationFall, 20142Math 107 College Algebra.docxMath 107 Final ExaminationFall, 20142Math 107 College Algebra.docx
Math 107 Final ExaminationFall, 20142Math 107 College Algebra.docx
andreecapon
 
Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx
Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docxMath 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx
Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx
andreecapon
 
This quiz is open book and open notes/tutorialoutlet
This quiz is open book and open notes/tutorialoutletThis quiz is open book and open notes/tutorialoutlet
This quiz is open book and open notes/tutorialoutlet
Beardmore
 
MATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docx
MATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docxMATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docx
MATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docx
TatianaMajor22
 
Module For Mathematics
Module For Mathematics Module For Mathematics
Module For Mathematics
jrbt2014
 
MODULE 5 QuizQuestion1. Find the domain of the function. E.docx
MODULE 5 QuizQuestion1. Find the domain of the function. E.docxMODULE 5 QuizQuestion1. Find the domain of the function. E.docx
MODULE 5 QuizQuestion1. Find the domain of the function. E.docx
moirarandell
 
Paper no. 4
Paper no. 4Paper no. 4
Paper no. 4
Rhea Mae Esmaña
 
Paper no. 4
Paper no. 4Paper no. 4
Paper no. 4
Rhea Mae Esmaña
 
Pp smi add. maths paper 1
Pp smi add. maths paper 1Pp smi add. maths paper 1
Pp smi add. maths paper 1
zabidah awang
 
Answering Techniques Ad Maths P1
Answering Techniques Ad Maths P1Answering Techniques Ad Maths P1
Answering Techniques Ad Maths P1
morabisma
 
WEEK 8.docx
WEEK 8.docxWEEK 8.docx
WEEK 8.docx
ManilynSuarez2
 
Contextualized Lesson Plan in Math 7 Linear Equation in One Variable
Contextualized Lesson Plan in Math 7 Linear Equation in One VariableContextualized Lesson Plan in Math 7 Linear Equation in One Variable
Contextualized Lesson Plan in Math 7 Linear Equation in One Variable
Department of Education - Philippines
 
K to 12 - Grade 8 Math Learners Module Quarter 2
K to 12 - Grade  8 Math Learners Module Quarter 2K to 12 - Grade  8 Math Learners Module Quarter 2
K to 12 - Grade 8 Math Learners Module Quarter 2
Nico Granada
 
MATH MODULE GRADE 8
MATH MODULE GRADE 8MATH MODULE GRADE 8
MATH MODULE GRADE 8
Jessie Papaya
 
MATH MODULE GRADE 8
MATH MODULE GRADE 8MATH MODULE GRADE 8
MATH MODULE GRADE 8
Jessie Papaya
 
H 2016 2018
H 2016   2018H 2016   2018
H 2016 2018
sjamaths
 
Lesson 1 8 quiz review
Lesson 1 8 quiz reviewLesson 1 8 quiz review
Lesson 1 8 quiz review
mlabuski
 
Math10 q2 mod1of8_polynomial function_v2 (1)
Math10 q2 mod1of8_polynomial function_v2 (1)Math10 q2 mod1of8_polynomial function_v2 (1)
Math10 q2 mod1of8_polynomial function_v2 (1)
FahadOdin
 

Similar to College Algebra MATH 107 Spring, 2020Page 1 of 11 MA.docx (20)

Math 107 College AlgebraName Olufemi Akinyemi Final Examination F.docx
Math 107 College AlgebraName Olufemi Akinyemi Final Examination F.docxMath 107 College AlgebraName Olufemi Akinyemi Final Examination F.docx
Math 107 College AlgebraName Olufemi Akinyemi Final Examination F.docx
 
Write solution for these problems -Is targeting only mommy blo.docx
Write solution for these problems -Is targeting only mommy blo.docxWrite solution for these problems -Is targeting only mommy blo.docx
Write solution for these problems -Is targeting only mommy blo.docx
 
Math 107 Final ExaminationFall, 20142Math 107 College Algebra.docx
Math 107 Final ExaminationFall, 20142Math 107 College Algebra.docxMath 107 Final ExaminationFall, 20142Math 107 College Algebra.docx
Math 107 Final ExaminationFall, 20142Math 107 College Algebra.docx
 
Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx
Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docxMath 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx
Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx
 
This quiz is open book and open notes/tutorialoutlet
This quiz is open book and open notes/tutorialoutletThis quiz is open book and open notes/tutorialoutlet
This quiz is open book and open notes/tutorialoutlet
 
MATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docx
MATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docxMATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docx
MATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docx
 
Module For Mathematics
Module For Mathematics Module For Mathematics
Module For Mathematics
 
MODULE 5 QuizQuestion1. Find the domain of the function. E.docx
MODULE 5 QuizQuestion1. Find the domain of the function. E.docxMODULE 5 QuizQuestion1. Find the domain of the function. E.docx
MODULE 5 QuizQuestion1. Find the domain of the function. E.docx
 
Paper no. 4
Paper no. 4Paper no. 4
Paper no. 4
 
Paper no. 4
Paper no. 4Paper no. 4
Paper no. 4
 
Pp smi add. maths paper 1
Pp smi add. maths paper 1Pp smi add. maths paper 1
Pp smi add. maths paper 1
 
Answering Techniques Ad Maths P1
Answering Techniques Ad Maths P1Answering Techniques Ad Maths P1
Answering Techniques Ad Maths P1
 
WEEK 8.docx
WEEK 8.docxWEEK 8.docx
WEEK 8.docx
 
Contextualized Lesson Plan in Math 7 Linear Equation in One Variable
Contextualized Lesson Plan in Math 7 Linear Equation in One VariableContextualized Lesson Plan in Math 7 Linear Equation in One Variable
Contextualized Lesson Plan in Math 7 Linear Equation in One Variable
 
K to 12 - Grade 8 Math Learners Module Quarter 2
K to 12 - Grade  8 Math Learners Module Quarter 2K to 12 - Grade  8 Math Learners Module Quarter 2
K to 12 - Grade 8 Math Learners Module Quarter 2
 
MATH MODULE GRADE 8
MATH MODULE GRADE 8MATH MODULE GRADE 8
MATH MODULE GRADE 8
 
MATH MODULE GRADE 8
MATH MODULE GRADE 8MATH MODULE GRADE 8
MATH MODULE GRADE 8
 
H 2016 2018
H 2016   2018H 2016   2018
H 2016 2018
 
Lesson 1 8 quiz review
Lesson 1 8 quiz reviewLesson 1 8 quiz review
Lesson 1 8 quiz review
 
Math10 q2 mod1of8_polynomial function_v2 (1)
Math10 q2 mod1of8_polynomial function_v2 (1)Math10 q2 mod1of8_polynomial function_v2 (1)
Math10 q2 mod1of8_polynomial function_v2 (1)
 

More from mary772

Coding NotesImproving Diagnosis By Jacquie zegan, CCS, w.docx
Coding NotesImproving Diagnosis By Jacquie zegan, CCS, w.docxCoding NotesImproving Diagnosis By Jacquie zegan, CCS, w.docx
Coding NotesImproving Diagnosis By Jacquie zegan, CCS, w.docx
mary772
 
CNL-521 Topic 3 Vargas Case StudyBob and Elizabeth arrive.docx
CNL-521 Topic 3 Vargas Case StudyBob and Elizabeth arrive.docxCNL-521 Topic 3 Vargas Case StudyBob and Elizabeth arrive.docx
CNL-521 Topic 3 Vargas Case StudyBob and Elizabeth arrive.docx
mary772
 
Cognitive and Language Development Milestones Picture Book[WLO .docx
Cognitive and Language Development Milestones Picture Book[WLO .docxCognitive and Language Development Milestones Picture Book[WLO .docx
Cognitive and Language Development Milestones Picture Book[WLO .docx
mary772
 
Codes of (un)dress and gender constructs from the Greek to t.docx
Codes of (un)dress and gender constructs from the Greek to t.docxCodes of (un)dress and gender constructs from the Greek to t.docx
Codes of (un)dress and gender constructs from the Greek to t.docx
mary772
 
Coding Assignment 3CSC 330 Advanced Data Structures, Spri.docx
Coding Assignment 3CSC 330 Advanced Data Structures, Spri.docxCoding Assignment 3CSC 330 Advanced Data Structures, Spri.docx
Coding Assignment 3CSC 330 Advanced Data Structures, Spri.docx
mary772
 
CodeZipButtonDemo.javaCodeZipButtonDemo.java Demonstrate a p.docx
CodeZipButtonDemo.javaCodeZipButtonDemo.java Demonstrate a p.docxCodeZipButtonDemo.javaCodeZipButtonDemo.java Demonstrate a p.docx
CodeZipButtonDemo.javaCodeZipButtonDemo.java Demonstrate a p.docx
mary772
 
CoevolutionOver the ages, many species have become irremediably .docx
CoevolutionOver the ages, many species have become irremediably .docxCoevolutionOver the ages, many species have become irremediably .docx
CoevolutionOver the ages, many species have become irremediably .docx
mary772
 
Coding Component (50)Weve provided you with an implementation .docx
Coding Component (50)Weve provided you with an implementation .docxCoding Component (50)Weve provided you with an implementation .docx
Coding Component (50)Weve provided you with an implementation .docx
mary772
 
Codes of Ethics Guides Not Prescriptions A set of rules and di.docx
Codes of Ethics Guides Not Prescriptions A set of rules and di.docxCodes of Ethics Guides Not Prescriptions A set of rules and di.docx
Codes of Ethics Guides Not Prescriptions A set of rules and di.docx
mary772
 
Codecademy Monetizing a Movement 815-093 815-093 Codecademy.docx
Codecademy Monetizing a Movement 815-093 815-093 Codecademy.docxCodecademy Monetizing a Movement 815-093 815-093 Codecademy.docx
Codecademy Monetizing a Movement 815-093 815-093 Codecademy.docx
mary772
 
Code switching involves using 1 language or nonstandard versions of .docx
Code switching involves using 1 language or nonstandard versions of .docxCode switching involves using 1 language or nonstandard versions of .docx
Code switching involves using 1 language or nonstandard versions of .docx
mary772
 
Code of Ethics for the Nutrition and Dietetics Pr.docx
Code of Ethics  for the Nutrition and Dietetics Pr.docxCode of Ethics  for the Nutrition and Dietetics Pr.docx
Code of Ethics for the Nutrition and Dietetics Pr.docx
mary772
 
Code of Ethics for Engineers 4. Engineers shall act .docx
Code of Ethics for Engineers 4. Engineers shall act .docxCode of Ethics for Engineers 4. Engineers shall act .docx
Code of Ethics for Engineers 4. Engineers shall act .docx
mary772
 
Coder Name Rebecca Oquendo .docx
Coder Name  Rebecca Oquendo                                    .docxCoder Name  Rebecca Oquendo                                    .docx
Coder Name Rebecca Oquendo .docx
mary772
 
Codes of Ethical Conduct A Bottom-Up ApproachRonald Paul .docx
Codes of Ethical Conduct A Bottom-Up ApproachRonald Paul .docxCodes of Ethical Conduct A Bottom-Up ApproachRonald Paul .docx
Codes of Ethical Conduct A Bottom-Up ApproachRonald Paul .docx
mary772
 
CNL-530 Topic 2 Sexual Response Cycle ChartMasters and John.docx
CNL-530 Topic 2 Sexual Response Cycle ChartMasters and John.docxCNL-530 Topic 2 Sexual Response Cycle ChartMasters and John.docx
CNL-530 Topic 2 Sexual Response Cycle ChartMasters and John.docx
mary772
 
Code#RE00200012002020MN2DGHEType of Service.docx
Code#RE00200012002020MN2DGHEType of Service.docxCode#RE00200012002020MN2DGHEType of Service.docx
Code#RE00200012002020MN2DGHEType of Service.docx
mary772
 
CODE OF ETHICSReview the following case study and address the qu.docx
CODE OF ETHICSReview the following case study and address the qu.docxCODE OF ETHICSReview the following case study and address the qu.docx
CODE OF ETHICSReview the following case study and address the qu.docx
mary772
 
cocaine, conspiracy theories and the cia in central america by Craig.docx
cocaine, conspiracy theories and the cia in central america by Craig.docxcocaine, conspiracy theories and the cia in central america by Craig.docx
cocaine, conspiracy theories and the cia in central america by Craig.docx
mary772
 
Code of EthicsThe Code of Ethical Conduct and Statement of Com.docx
Code of EthicsThe Code of Ethical Conduct and Statement of Com.docxCode of EthicsThe Code of Ethical Conduct and Statement of Com.docx
Code of EthicsThe Code of Ethical Conduct and Statement of Com.docx
mary772
 

More from mary772 (20)

Coding NotesImproving Diagnosis By Jacquie zegan, CCS, w.docx
Coding NotesImproving Diagnosis By Jacquie zegan, CCS, w.docxCoding NotesImproving Diagnosis By Jacquie zegan, CCS, w.docx
Coding NotesImproving Diagnosis By Jacquie zegan, CCS, w.docx
 
CNL-521 Topic 3 Vargas Case StudyBob and Elizabeth arrive.docx
CNL-521 Topic 3 Vargas Case StudyBob and Elizabeth arrive.docxCNL-521 Topic 3 Vargas Case StudyBob and Elizabeth arrive.docx
CNL-521 Topic 3 Vargas Case StudyBob and Elizabeth arrive.docx
 
Cognitive and Language Development Milestones Picture Book[WLO .docx
Cognitive and Language Development Milestones Picture Book[WLO .docxCognitive and Language Development Milestones Picture Book[WLO .docx
Cognitive and Language Development Milestones Picture Book[WLO .docx
 
Codes of (un)dress and gender constructs from the Greek to t.docx
Codes of (un)dress and gender constructs from the Greek to t.docxCodes of (un)dress and gender constructs from the Greek to t.docx
Codes of (un)dress and gender constructs from the Greek to t.docx
 
Coding Assignment 3CSC 330 Advanced Data Structures, Spri.docx
Coding Assignment 3CSC 330 Advanced Data Structures, Spri.docxCoding Assignment 3CSC 330 Advanced Data Structures, Spri.docx
Coding Assignment 3CSC 330 Advanced Data Structures, Spri.docx
 
CodeZipButtonDemo.javaCodeZipButtonDemo.java Demonstrate a p.docx
CodeZipButtonDemo.javaCodeZipButtonDemo.java Demonstrate a p.docxCodeZipButtonDemo.javaCodeZipButtonDemo.java Demonstrate a p.docx
CodeZipButtonDemo.javaCodeZipButtonDemo.java Demonstrate a p.docx
 
CoevolutionOver the ages, many species have become irremediably .docx
CoevolutionOver the ages, many species have become irremediably .docxCoevolutionOver the ages, many species have become irremediably .docx
CoevolutionOver the ages, many species have become irremediably .docx
 
Coding Component (50)Weve provided you with an implementation .docx
Coding Component (50)Weve provided you with an implementation .docxCoding Component (50)Weve provided you with an implementation .docx
Coding Component (50)Weve provided you with an implementation .docx
 
Codes of Ethics Guides Not Prescriptions A set of rules and di.docx
Codes of Ethics Guides Not Prescriptions A set of rules and di.docxCodes of Ethics Guides Not Prescriptions A set of rules and di.docx
Codes of Ethics Guides Not Prescriptions A set of rules and di.docx
 
Codecademy Monetizing a Movement 815-093 815-093 Codecademy.docx
Codecademy Monetizing a Movement 815-093 815-093 Codecademy.docxCodecademy Monetizing a Movement 815-093 815-093 Codecademy.docx
Codecademy Monetizing a Movement 815-093 815-093 Codecademy.docx
 
Code switching involves using 1 language or nonstandard versions of .docx
Code switching involves using 1 language or nonstandard versions of .docxCode switching involves using 1 language or nonstandard versions of .docx
Code switching involves using 1 language or nonstandard versions of .docx
 
Code of Ethics for the Nutrition and Dietetics Pr.docx
Code of Ethics  for the Nutrition and Dietetics Pr.docxCode of Ethics  for the Nutrition and Dietetics Pr.docx
Code of Ethics for the Nutrition and Dietetics Pr.docx
 
Code of Ethics for Engineers 4. Engineers shall act .docx
Code of Ethics for Engineers 4. Engineers shall act .docxCode of Ethics for Engineers 4. Engineers shall act .docx
Code of Ethics for Engineers 4. Engineers shall act .docx
 
Coder Name Rebecca Oquendo .docx
Coder Name  Rebecca Oquendo                                    .docxCoder Name  Rebecca Oquendo                                    .docx
Coder Name Rebecca Oquendo .docx
 
Codes of Ethical Conduct A Bottom-Up ApproachRonald Paul .docx
Codes of Ethical Conduct A Bottom-Up ApproachRonald Paul .docxCodes of Ethical Conduct A Bottom-Up ApproachRonald Paul .docx
Codes of Ethical Conduct A Bottom-Up ApproachRonald Paul .docx
 
CNL-530 Topic 2 Sexual Response Cycle ChartMasters and John.docx
CNL-530 Topic 2 Sexual Response Cycle ChartMasters and John.docxCNL-530 Topic 2 Sexual Response Cycle ChartMasters and John.docx
CNL-530 Topic 2 Sexual Response Cycle ChartMasters and John.docx
 
Code#RE00200012002020MN2DGHEType of Service.docx
Code#RE00200012002020MN2DGHEType of Service.docxCode#RE00200012002020MN2DGHEType of Service.docx
Code#RE00200012002020MN2DGHEType of Service.docx
 
CODE OF ETHICSReview the following case study and address the qu.docx
CODE OF ETHICSReview the following case study and address the qu.docxCODE OF ETHICSReview the following case study and address the qu.docx
CODE OF ETHICSReview the following case study and address the qu.docx
 
cocaine, conspiracy theories and the cia in central america by Craig.docx
cocaine, conspiracy theories and the cia in central america by Craig.docxcocaine, conspiracy theories and the cia in central america by Craig.docx
cocaine, conspiracy theories and the cia in central america by Craig.docx
 
Code of EthicsThe Code of Ethical Conduct and Statement of Com.docx
Code of EthicsThe Code of Ethical Conduct and Statement of Com.docxCode of EthicsThe Code of Ethical Conduct and Statement of Com.docx
Code of EthicsThe Code of Ethical Conduct and Statement of Com.docx
 

Recently uploaded

How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
Celine George
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
mulvey2
 
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat  Leveraging AI for Diversity, Equity, and InclusionExecutive Directors Chat  Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
TechSoup
 
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
National Information Standards Organization (NISO)
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
Colégio Santa Teresinha
 
World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024
ak6969907
 
A Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdfA Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdf
Jean Carlos Nunes Paixão
 
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRMHow to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Celine George
 
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
RitikBhardwaj56
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
Priyankaranawat4
 
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingYour Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Excellence Foundation for South Sudan
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Celine George
 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Fajar Baskoro
 
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
sayalidalavi006
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
TechSoup
 
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Dr. Vinod Kumar Kanvaria
 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
GeorgeMilliken2
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Scholarhat
 

Recently uploaded (20)

How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
 
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat  Leveraging AI for Diversity, Equity, and InclusionExecutive Directors Chat  Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
 
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
 
World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024
 
A Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdfA Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdf
 
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRMHow to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
 
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
 
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingYour Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
 
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
 
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
 

College Algebra MATH 107 Spring, 2020Page 1 of 11 MA.docx

  • 1. College Algebra MATH 107 Spring, 2020 Page 1 of 11 MATH 107 FINAL EXAMINATION 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. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the separate answer sheet provided. There are 30 problems. Problems #1–12 are Multiple Choice. Problems #13–21 are Short Answer. (Work not required to be shown) Problems #22–30 are Short Answer with work required to be shown. MULTIPLE CHOICE 1. Determine the domain and range of the piecewise function. 1. ______
  • 2. A. Domain [– 4, 2]; Range [– 2, 4] B. Domain [– 2, 4]; Range [– 2, 1] C. Domain [– 2, 4]; Range [– 4 , 2] D. Domain [0, 2]; Range [– 2, 0] 2. Solve: 3 10x x+ = − 2. ______ A. No solution B. –2, 5 C. 5 D. –2 -2 2 4 -4 -2 -4 2 4 College Algebra MATH 107 Spring, 2020 Page 2 of 11 3. Determine the interval(s) on which the function is decreasing. 3. ______
  • 3. A. (–1, 3) B. (–2, 4) C. (– D. (– – 4. Determine whether the graph of 2y x= + is symmetric with respect to the origin, the x-axis, or the y-axis. 4. ______ A. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and not symmetric with respect to the origin B. symmetric with respect to the x-axis only C. symmetric with respect to the y-axis only D. symmetric with respect to the origin only 5. Solve, and express the answer in interval notation: | 5 – 6x | A. (– B. (– D. [–4/3, 3]
  • 4. College Algebra MATH 107 Spring, 2020 Page 3 of 11 6. Which of the following represents the graph of 8x − 3y = 24 ? 6. ______ A. B. C. D. College Algebra MATH 107 Spring, 2020 Page 4 of 11 7. Write a slope-intercept equation for a line parallel to the line x + 7y = 9 which passes through the point (28, –3). 7. ______ A. 25y x=− + B. 1 1 7 y x= − + C. 1
  • 5. 3 7 y x= − − D. 1 7 7 y x= − 8. Which of the following best describes the graph? 8. ______ A. It is the graph of a function but not one-to-one. B. It is the graph of a function and it is one-to-one. C. It is not the graph of a function. D. It is the graph of an absolute value relation. . College Algebra MATH 107 Spring, 2020 Page 5 of 11 9. Write as an equivalent expression: log (x – 3) – 8 log y + log 1 9. ______ A.
  • 7. D. ( )log 2 8x y− − 10. Which of the functions corresponds to the graph? 10. ______ A. ( ) 2 xf x e−= B. ( ) 2 xf x e−= + C. ( ) 2 xf x e= − D. ( ) 2xf x e−= College Algebra MATH 107 Spring, 2020 Page 6 of 11 11. Suppose that for a function f, the equation f (x) = 0 has no real-number solution. Which of the following statements MUST be true? 11. ______ A. f is an invertible function. B. The graph of f is a horizontal line. C. f has no x-intercept. D. f has no y-intercept. 12. The graph of y = f (x) is shown at the left and the graph of y = g(x) is shown at the right. (No
  • 8. formulas are given.) What is the relationship between g(x) and f (x)? 12. ______ y = f (x) y = g(x) A. g(x) = f (x) – 4 B. g(x) = f (x) + 4 C. g(x) = f (x + 4) D. g(x) = f (x – 4) 2 4 -2-4 -2 -4 2 4 2 4 -2-4 -2 -4 2 4
  • 9. College Algebra MATH 107 Spring, 2020 Page 7 of 11 SHORT ANSWER: 13. Multiply and simplify: (8 − i)(5 + 7i). Write the answer in the form a + bi, where a and b are real numbers. Answer: ________ 14. Solve, and write the answer in interval notation: 7 0 9 x x − − . Answer: ________ temperature T of the soup t minutes after it is placed in the room is given by T(t) = 70 + 105 e – 0.075 t
  • 10. Find the temperature of the soup 18 minutes after it is placed in the room. (Round to the nearest degree.) Answer: ________ 16. Find the value of the logarithm: 4 1 log 64 . Answer: ________ 17. Solve: 4 97 49x+ = . Answer: ________ 18. Suppose $4,700 is invested in an account at an annual interest rate of 5.2% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: ________ 19. Let f (x) = x2 − 10x + 23. (a) Find the vertex. Answer: ________ (b) State the range of the function. Answer: ________
  • 11. (c) On what interval is the function decreasing? Answer: ________ College Algebra MATH 107 Spring, 2020 Page 8 of 11 20. Consider the polynomial P(x), shown in both standard form and factored form. 3 21 7 7 1 ( ) 5 ( 1)( 3)( 5) 3 3 3 3 P x x x x x x x= − + − − = − + − − (a) Which sketch illustrates the end behavior of the polynomial function? Answer: ________ (b) State the zeros of the function. Answer: ________________ (c) State the y-intercept. Answer: ________________ (d) State which graph below is the graph of P(x). Answer: ________ GRAPH A GRAPH B GRAPH C GRAPH D A. B. C. D.
  • 12. vvvv vvvv vvvv vvvv College Algebra MATH 107 Spring, 2020 Page 9 of 11 21. Let 4 )( 2 − = x x xf . (a) State the domain. Answer: _________________ (b) State the horizontal asymptote. Answer: _________________ (c) State the vertical asymptote(s). Answer: _________________ (d) Which of the following represents the graph of 4 )(
  • 13. 2 − = x x xf ? Answer: ______________ GRAPH A. GRAPH B. GRAPH C. GRAPH D. College Algebra MATH 107 Spring, 2020 Page 10 of 11 SHORT ANSWER, with work required to be shown, as indicated. 22. Let xxf −= 9)( and g(x) = x + 1. g f
  • 14. . Show work. (b) Find the domain of the quotient function g f . Explain. 23. Points (–3, 2) and (1, 6) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work. (b) What is the center point C of the circle? (c) Given the point C you found in part (b), state the point symmetric to C about the x-axis. 24. Find the equation for a line which passes through the points (–7, 4) and (–9, 8). Write the equation in slope-intercept form. Show work. 25. A salesperson earns a base salary of $1,650 per month and a commission of 5.3% on the amount of sales made. If the salesperson has a paycheck of $3425.50 for one month, what was the amount of sales for the month? Show work. 26. Let f (x) = 5x2 – 3 and g(x) = x – 4.
  • 15. work. (b) Find ( ) ( 1)f g −o . Show work. 27. Find the exact solutions and simplify as much as possible: 9x2 + 10 = 20x. Show work. 28. Given the function 1 ( ) 3 7 f x x= − , find a formula for the inverse function. Show work. College Algebra MATH 107 Spring, 2020 Page 11 of 11 29. The Travel Time bus company has determined that when x tourists are given a particular bus tour, the profit P (in dollars) is given by P(x) = –0.25 x2 + 25.50x – 220 (a) What is the company’s profit if 32 tourists are given the tour? (b) How many tourists should be given the tour in order to maximize the company’s profit? Show work.
  • 16. 30. Solve: 2 7 12 0 6 36 x x x + + = + − . Show work. Math 107 Final ExaminationSpring 20201 Math 107 College AlgebraName______________________________ Final Examination: Spring, 2020Instructor: Irene Doo 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 work in this document. There are 30 problems. Problems #1-12 are multiple choice. Record your choice for each problem. Problems #13-21 are short answer. Record your answer for each problem. Problems #22-30 are short answer with work required. When
  • 17. requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand- write your work and scan it. In either case, 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___________________ MULTIPLE CHOICE. Record your answer choices. 1.7. 2.8. 3.9. 4.10. 5.11. 6.12. SHORT ANSWER. Record your answers below. 13. 14. 15.
  • 18. 16. 17. 18. 19. (a) (b) (c) 20. (a) (b) (c) (d) 21. (a) (b) (c) (d) SHORT ANSWER with Work Shown. Record your answers and work. Problem Number
  • 19. Solution 22 Answers: (a) (b) Work/for part (a) and explanation for part (b):
  • 22. 26 Answers: (a) (b) Work for part (a) and for part (b):