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Solving Linear Systems of Equations and Inequaities (9 Problems)

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1. (5 pts) The equation of the horizontal line passing through (1, -5) is _______
A. x = 1
B. y = 1
C. x = -5
D. y = -5

2. (5 pts) The standard form of the inequality x - 4y 12 is _______

A. y> - ¼ x + 3

B. 4y < x - 12

C. y< ¼ x - 3

D. y> ¼ x - 3

3. (5 pts) Which of the following points satisfies the linear inequality 3x - y &#61619;&#61472;10? _______

A. (2, -1)
B. (3, 0)
C. (4, 3)
D. (5, 4)

4. (5 pts) Which of the following equations does the graph represent? _____
A. y = 2x + 1
B. y = &#61485;&#61472;(1/2)x &#61483;&#61472;1
C. y = (1/2)x + 1&#61472;
D. y = 2x - 2

5. (5 pts) The unshaded (white) portion of the graph is the solution set of which inequality? ______
A. y &#61603;&#61472;&#61485;2x + 4
B. y &#61619;&#61472;&#61485;2x + 4
C. y &#61603;&#61472;2x &#61485;&#61472;4
D. y &#61619;&#61472;2x &#61485;&#61472;4

6. (5 pts) Which of the following points is in the feasible set of the system of inequalities?
y >0
x + y < 7
2x + y < 9
A. (1, 5)
B. (3, 4)
C. (4, -6)
D. (5, 1)

7. (5 pts) Which of the following is TRUE about the line through the points (2, 5) and
(2, 7)? _______

A. The slope is undefined.
B. The slope is negative.
C. The slope is 0.
D. The slope is positive.

8. (5 pts) What is the equation of a line having slope 5 and passing through the point
(3, 7)? ______

A. y = 3x &#61485;&#61472;2
B. y = 5x &#61485;&#61472;8
C. y = 5x &#61483;&#61472;2
D. y = 5x &#61483;&#61472;&#61495;

SECTION 2.1 # 36......PAGE 68 (CHAPTER 2)

9. Solve the linear system by using the GAUSSIAN elimination method. (SHOW ALL WORK)

-2x - 3y +2z = -2

x + y = 3

-x - 3y + 5z = 8

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