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Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
Prof S.Cheraki
04/07/2020
Name:
Exam Instructions:
1. No calculators.
2. This exam is โ€œclosed book,โ€ which means you are NOT
permitted to use any additional resources or materials handed out
in class, your own notes from the course, the text book, and
anything posted by your instructor online.
3. The exam must be taken completely alone. Showing it or
discussing it with anyone is forbidden.
4. You may not consult any external resources. This means no
internet searches, materials from other classes or books or any
notes you have taken in other classes etc. You may not use Google
or any other search engines for any reason. You may not use any
shared Google documents.
5. You may not consult with any other person regarding the exam.
You may not check your exam answers with any person.
6. All written work for the exam (scratch work) must be uploaded
as PDF file via [insert your preference] for credits. No work, no
credit.
There are a total of 20 questions. Each question is worth 5 points.
Time Limit: 24 hours to upload on Blackbaord. Good luck!
Page 1 of 14
Pace University
Spring 2020
1. Simplify:
2. Simplify:
MAT 103 CRN 22094
Test 2
6๐‘ฅ โˆ’42
๐‘ฅโˆ’7
Prof S.Cheraki
04/07/2020
. Specify any restrictions on the variable.
๐‘ฅ 2 โˆ’4
๐‘ฅ 2 โˆ’2๐‘ฅโˆ’8
Page 2 of 14
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
3. Multiply:
4. Divide:
8
2๐‘ฅโˆ’6
5
รท
๐‘ฅโˆ’2
25
. 6๐‘ฅโˆ’18
16
2๐‘ฅ 2 โˆ’ 8
Page 3 of 14
Prof S.Cheraki
04/07/2020
Pace University
Spring 2020
5. Combine:
MAT 103 CRN 22094
Test 2
3
โˆ’
(๐‘ฅ+3)(๐‘ฅโˆ’3)
1
(๐‘ฅโˆ’3)(๐‘ฅโˆ’1)
Page 4 of 14
Prof S.Cheraki
04/07/2020
Pace University
Spring 2020
6. Solve:
MAT 103 CRN 22094
Test 2
2
=
๐‘ฅโˆ’7
๐‘ฅ
8
5
๐‘ฅ
7. Solve: โˆ’
7
๐‘ฅ
6
= โˆ’5
Page 5 of 14
Prof S.Cheraki
04/07/2020
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
7
๐‘ฅ
Simplify:
2
3โˆ’
๐‘ฅ
1โˆ’
8.
Page 6 of 14
Prof S.Cheraki
04/07/2020
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
Prof S.Cheraki
04/07/2020
9. Suppose y varies directly with the square of x. If y is 32 when x is 2,
find y when x is 3.
Page 7 of 14
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
Prof S.Cheraki
04/07/2020
10. Given a relation {(0,2), (4,-1),(-3,-1)}, state its domain and range and
then indicate whether this relation is also a function.
Page 8 of 14
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
11. Sketch ๐‘“(๐‘ฅ) = ๐‘ฅ 2 โˆ’ 1.
Page 9 of 14
Prof S.Cheraki
04/07/2020
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
Prof S.Cheraki
04/07/2020
12. Let ๐‘“(๐‘ฅ) = 2๐‘ฅ 2 โˆ’ 2๐‘ฅ + 3 and ๐‘”(๐‘ฅ) = 3๐‘ฅ โˆ’ 3, evaluate each of the
following.
(a) ๐‘“(โˆ’1)
(b) ๐‘“(๐‘”(2))
13. Find the domain of ๐‘“ (๐‘ฅ ) =
๐‘ฅโˆ’3
.
๐‘ฅ 2 โˆ’9
Page 10 of 14
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
Prof S.Cheraki
04/07/2020
14. Solve: โˆ’(๐‘Ž โˆ’ 4) โˆ’ 7๐‘Ž โ‰ค 3๐‘Ž + 5 .Write your answers with interval
notation.
2
15. Solve: โˆ’4 โ‰ค ๐‘ฅ โˆ’ 2 โ‰ค 6. Write your answers with interval
3
notation.
Page 11 of 14
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
Prof S.Cheraki
04/07/2020
16. Solve: |3๐‘ฆ โˆ’ 9| โˆ’ 4 = 2.
17. Solve: |2๐‘ฅ โˆ’ 4| โ‰ฅ 12. Graph the solutions on a number line.
Page 12 of 14
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
Prof S.Cheraki
04/07/2020
18. Determine if the system of equations below has a solution. If the
system of equations has a solution, find it.
โˆ’2๐‘ฅ + 4๐‘ฆ + 4๐‘ง = 7
{ โˆ’2๐‘ฅ + 3๐‘ฆ โˆ’ ๐‘ง = 1
โˆ’4๐‘ฅ + 2๐‘ฆ โˆ’ 4๐‘ง = โˆ’4
Page 13 of 14
Pace University
Spring 2020
MAT 103 CRN 22094
Test 2
19. Simplify: โˆš128
20. Simplify: โˆš
4
9
Page 14 of 14
Prof S.Cheraki
04/07/2020

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