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Practice Questions for Quiz 2 - College Mathematics | MAT 111, Quizzes of Mathematics

State University of New York Polytechnic - Utica-Rome Mathematics

Material Type: Quiz; Class: College Mathematics; Subject: Mathematics; University: SUNY Institute of Technology at Utica-Rome; Term: Spring 2002;

Typology: Quizzes

Pre 2010

Uploaded on 08/09/2009

koofers-user-z9r 🇺🇸

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MAT 311 Quiz 3 April 10, 2002

Prof. Thistleton

1. Graph the linear inequality 2x+y≤2.

−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

2. Graph the system of linear inequalities

x+y≥2

x−y≥2

−6−5−4−3−2−1 0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

Practice Questions for Quiz 2 - College Mathematics | MAT 111, Quizzes of Mathematics

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MAT 311 Quiz 3 April 10, 2002

Prof. Thistleton

1. Graph the linear inequality 2x + y ≤ 2.

2. Graph the system of linear inequalities

x + y ≥ 2

x − y ≥ 2

3. Consider the system of linear equalities

y = − 3 x + 2

y = 2 x − 3

(a) Solve the system algebraically.

(b) Solve the above system graphically

6. Graph the solution of the following inequality on the number line.

|x + 1| ≤ 2

7. The current in an electrical circuit varies inversely as the resistance. In a particular circuit, a

current of 0.005 amps is produced with a resistance of 200 ohms. What resistance will produce

a current of 0.01 amps?

8. Perform the following operation. Express your answer in scientific notation.

9. Solve the following linear program.

Maximize

z = 2x − 3 y

Subject to the following constraints

y ≥ 1

x ≥ 2

y + x ≤ 3

10. You will be working two jobs this summer. Your job in construction pays $12.50 per hour.

Your job in a restaurant pays $9.75 per hour. Write an objective function that describes your

total earnings for the summer. State clearly what your variables represent.