# Algebra II 2011 Fall Semester Final Exam

50 Questions

Read each question and choose the best answer. Then click on the circle for the answer you have chosen. For this exam you may assume that the value of the denominator of a rational expression is not zero. PLEASE NOTE: Once you select your answer and click onto the next question, you will NOT be able to go back to change your answer.

• 1.
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A

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B

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C

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D

• 2.
• A.

F

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G

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H

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J

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A

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B

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C

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D

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F

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G

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H

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J

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F

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G

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A

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B

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C

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F

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• 8.
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C

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• 10.
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B

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C

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D

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F

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• 12.
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A

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B

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C

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D

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F

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F

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C

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D

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• 17.
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A

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B

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C

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D

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F

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• 19.
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A

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B

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C

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D

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F

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• 21.
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A

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B

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C

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D

• 22.
• A.

A

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B

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C

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D

• 23.
• A.

F

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G

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H

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• 24.
• A.

F

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G

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• 25.
• A.

A

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B

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C

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D

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F

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• 27.
• A.

A

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B

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C

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D

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F

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H

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• 29.
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A

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B

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C

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D

• 30.
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A

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B

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C

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D

• 31.
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A

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B

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C

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D

• 32.
• A.

F

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G

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J

• 33.
• A.

A

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B

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C

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D

• 34.
• A.

F

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G

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H

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• 35.
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F

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• 36.
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A

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B

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C

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D

• 37.
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F

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G

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H

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• 38.
• A.

A

• B.

B

• C.

C

• D.

D

• 39.
The number 8.09 belongs to which sets of numbers?
• A.

Natural numbers, real numbers

• B.

Irrational numbers, real numbers

• C.

Rational numbers, real numbers

• D.

Whole numbers, integers, rational numbers, real numbers

• 40.
Which of the following expression in NOT equivalent to the others?
• A.

3x - y - x - y

• B.

-2(x - y)

• C.

2(x - y)

• D.

2x - 2y

• 41.
What is the solution of the inequality 8 - 3x < -3(1 + x) + 1?
• A.

All real numbers

• B.

No real numbers

• C.

X > 2/3

• D.

X < -11/6

• 42.
Which number is a solution of |9 - x| = 9 + x?
• A.

-3

• B.

0

• C.

3

• D.

6

• 43.
How many outcomes are in the sample space for rolling a number cube and tossing a coin?
• A.

2

• B.

6

• C.

12

• D.

24

• 44.
Which equation represents a line through (3, 5) that is perpendicular to y = 2x - 5?
• A.

2y = -x + 13

• B.

2y = x + 13

• C.

2y - x = 13

• D.

2y + x = -13

• 45.
For the equation 3x - 2y = 12, which has value -6?
• A.

The x-intercept

• B.

The y-intercept

• C.

The slope

• D.

The origin

• 46.
Suppose y varies directly with x.  If x is 30 when y is 10, what is x when y is 9?
• A.

3

• B.

27

• C.

29

• D.

300/9

• 47.
What is the vertex of y = |x - 3| + 5?
• A.

(-3, 5)

• B.

(-3, 11)

• C.

(0, 5)

• D.

(3, 5)

• 48.
The vertices of a feasible region are (0, 0), (0, 2), (5, 2), (4, 0).  For which objective function is the maximum cost C found at the vertex (4, 0)?
• A.

C = -2x + 3y

• B.

C = 2x + 7y

• C.

C = 4x - 3y

• D.

C = 5x + 3y

• 49.
Which point is NOT on the graph of 2x + 3y - z -12 = 0?
• A.

(6, 0, 0)

• B.

(3, 3, 3)

• C.

(0, 4, 0)

• D.

(1, 1, 7)

• 50.
Reflection in which line takes the figure with vertices A(0, 0), B(-2, 4), C(-4, 2), and D(-3, 0) to A'(0, 0), B'(-2, -4), C'(-4, -2), and D'(-3, 0)?
• A.

X-axis

• B.

Y-axis

• C.

Y = x

• D.

Y = -x

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