Hi, please finish those questions in the file, you can write them down or in anyway you like, just make sure to send me the PDF file, and follow the instructions. Thank you.

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 โclosed 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

6๐ฅ โ42

๐ฅโ7

Prof S.Cheraki

04/07/2020

. Specify any restrictions on the variable.

๐ฅ 2 โ4

๐ฅ 2 โ2๐ฅโ8

Page 2 of 14

Pace University

Spring 2020

MAT 103 CRN 22094

Test 2

3. Multiply:

4. Divide:

8

2๐ฅโ6

5

รท

๐ฅโ2

25

. 6๐ฅโ18

16

2๐ฅ 2 โ 8

Page 3 of 14

Prof S.Cheraki

04/07/2020

Pace University

Spring 2020

5. Combine:

MAT 103 CRN 22094

Test 2

3

โ

(๐ฅ+3)(๐ฅโ3)

1

(๐ฅโ3)(๐ฅโ1)

Page 4 of 14

Prof S.Cheraki

04/07/2020

Pace University

Spring 2020

6. Solve:

MAT 103 CRN 22094

Test 2

2

=

๐ฅโ7

๐ฅ

8

5

๐ฅ

7. Solve: โ

7

๐ฅ

6

= โ5

Page 5 of 14

Prof S.Cheraki

04/07/2020

Pace University

Spring 2020

MAT 103 CRN 22094

Test 2

7

๐ฅ

Simplify:

2

3โ

๐ฅ

1โ

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(๐ฅ) = ๐ฅ 2 โ 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(๐ฅ) = 2๐ฅ 2 โ 2๐ฅ + 3 and ๐(๐ฅ) = 3๐ฅ โ 3, evaluate each of the

following.

(a) ๐(โ1)

(b) ๐(๐(2))

13. Find the domain of ๐ (๐ฅ ) =

๐ฅโ3

.

๐ฅ 2 โ9

Page 10 of 14

Pace University

Spring 2020

MAT 103 CRN 22094

Test 2

Prof S.Cheraki

04/07/2020

14. Solve: โ(๐ โ 4) โ 7๐ โค 3๐ + 5 .Write your answers with interval

notation.

2

15. Solve: โ4 โค ๐ฅ โ 2 โค 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: |3๐ฆ โ 9| โ 4 = 2.

17. Solve: |2๐ฅ โ 4| โฅ 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.

โ2๐ฅ + 4๐ฆ + 4๐ง = 7

{ โ2๐ฅ + 3๐ฆ โ ๐ง = 1

โ4๐ฅ + 2๐ฆ โ 4๐ง = โ4

Page 13 of 14

Pace University

Spring 2020

MAT 103 CRN 22094

Test 2

19. Simplify: โ128

20. Simplify: โ

4

9

Page 14 of 14

Prof S.Cheraki

04/07/2020