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Algebra 2 SOL Simulation 2012



(Questions courtesy of Chesterfield County Public Schools)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Simplify the expression completely.
                  mc001-1.jpg
a.
mc001-2.jpg
b.
mc001-3.jpg
c.
mc001-4.jpg
d.
1
 

 2. 

Simplify mc002-1.jpgcompletely.
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
 

 3. 

If mc003-1.jpg is the sum of two complex numbers, and one of the binomials is mc003-2.jpg, which of the following represents the other binomial?
a.
mc003-3.jpg
b.
mc003-4.jpg
c.
mc003-5.jpg
d.
mc003-6.jpg
 

 4. 

Simplify the algebraic expression completely.
      mc004-1.jpg
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
 

 5. 

Simplify the algebraic expression completely.
            mc005-1.jpg
a.
mc005-2.jpg
b.
mc005-3.jpg
c.
mc005-4.jpg
d.
mc005-5.jpg
 

 6. 

Which of the following is a factor of mc006-1.jpg?
a.
mc006-2.jpg
b.
mc006-3.jpg
c.
mc006-4.jpg
d.
mc006-5.jpg
 

 7. 

Simplify mc007-1.jpg.
a.
mc007-2.jpg
b.
mc007-3.jpg
c.
mc007-4.jpg
d.
mc007-5.jpg
 

 8. 

Which of the following are equivalent to  mc008-1.jpg?
I          mc008-2.jpg
II         mc008-3.jpg
III         mc008-4.jpg
IV         mc008-5.jpg
V         mc008-6.jpg
 
a.
II only
b.
I and IV only
c.
III and V only
d.
II, IV and V only
 

 9. 

Determine all expressions equivalent to mc009-1.jpg.
I      mc009-2.jpgII      mc009-3.jpgIII      mc009-4.jpg
IV   mc009-5.jpgV       mc009-6.jpg 
a.
I, II and IV only
b.
I, III and V only
c.
III and V only
d.
III only
 

 10. 

Simplify mc010-1.jpg completely
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
 

 11. 

Which of the following expressions correctly illustrates the Inverse       Property of Multiplication?
a.
mc011-1.jpg
b.
mc011-2.jpg
c.
mc011-3.jpg
d.
mc011-4.jpg
 

 12. 

Simplify mc012-1.jpgcompletely.
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
mc012-4.jpg
d.
mc012-5.jpg
 

 13. 

Perform the indicated operation and simplify mc013-1.jpg.
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
 

 14. 

Solve  mc014-1.jpg.
a.
{   }
b.
mc014-2.jpg
c.
mc014-3.jpg
d.
mc014-4.jpg
 

 15. 

The graphs of functions f(x) and g(x) are shown in the graph to the right.  How many solutions does the system have?
mc015-1.jpg
a.
None
b.
One
c.
Two
d.
Four
 

 16. 

Solve mc016-1.jpg  over the real numbers.
a.
mc016-2.jpg
b.
mc016-3.jpg
c.
mc016-4.jpg
d.
mc016-5.jpg
 

 17. 

Solve  mc017-1.jpg.
a.
{   }
b.
{17}
c.
{– 17}
d.
{– 11, 17}
 

 18. 

Solve  mc018-1.jpg
a.
mc018-2.jpg
b.
mc018-3.jpg
c.
mc018-4.jpg
d.
mc018-5.jpg
 

 19. 

Solve mc019-1.jpg
a.
mc019-2.jpg
b.
mc019-3.jpg
c.
mc019-4.jpg
d.
mc019-5.jpg
 

 20. 

A garden is currently 4 meters wide and 7 meters long.  If the area of the garden is to be doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden.
a.
6.1 m x 9.1 m
b.
6 m x 9.3 m
c.
6.2 m x 9 m
d.
8 m x 14 m
 

 21. 

Which of the following is a solution for the system  mc021-1.jpg?
a.
mc021-2.jpg
b.
mc021-3.jpg
c.
mc021-4.jpg
d.
mc021-5.jpg
 

 22. 

Which of the following is the solution of  mc022-1.jpg?
a.
mc022-2.jpg
b.
mc022-3.jpg
c.
mc022-4.jpg
d.
mc022-5.jpg
 

 23. 

Determine the solution set for the system graphed.
mc023-1.jpg
a.
mc023-2.jpg
b.
mc023-3.jpg
c.
mc023-4.jpg
d.
mc023-5.jpg
 

 24. 

Which of the following represents the solution to  mc024-1.jpg?
a.
mc024-2.jpg
b.
mc024-3.jpg
c.
mc024-4.jpg
d.
mc024-5.jpg
 

 25. 

Solve mc025-1.jpg
a.
mc025-2.jpg
b.
mc025-3.jpg
c.
mc025-4.jpg
d.
mc025-5.jpg
 

 26. 

A car is traveling at 26 meters per second (m/sec) begins to decelerate       at -13 m/sec.   After traveling 26 m, the driver brings the car to a complete stop.  The equation 
mc026-1.jpg               
can be used to represent the       situation, where
t is the time it takes to stop.   How long did it take the driver to stop the car?
a.
0.8 seconds
b.
2 seconds
c.
6.5 seconds
d.
10.7 seconds
 

 27. 

The population of a state is counted every ten years.  In the table,       populations are given for every twenty years.  At the rate the state is growing, what would be the best estimate for the population in the year 2020?
Yearpopulation (to nearest 1000)
1800478,000
1820639,000
1840753,000
1860993,000
18801,400,000
19001,894,000
19202,559,000
19403,572,000
19604,556,000
19805,880,000
20008,049,000
a.
6, 970, 000
b.
10, 600, 000
c.
16, 000, 000
d.
100, 600, 000
 

 28. 

Evaluate       mc028-1.jpg.
a.
mc028-2.jpg
b.
mc028-3.jpg
c.
mc028-4.jpg
d.
mc028-5.jpg
 

 29. 

Which of the following best describes the parent function of
            mc029-1.jpg?
a.
mc029-2.jpg
b.
mc029-3.jpg
c.
mc029-4.jpg
d.
mc029-5.jpg
 

 30. 

Determine the intervals on which the function is decreasing.
mc030-1.jpg
a.
mc030-2.jpg
b.
mc030-3.jpg
c.
mc030-4.jpg
d.
mc030-5.jpg
 

 31. 

Simplify mc031-1.jpgin terms of x if mc031-2.jpgand mc031-3.jpg.
a.
mc031-4.jpg
b.
mc031-5.jpg
c.
mc031-6.jpg
d.
mc031-7.jpg
 

 32. 

Determine which function has a range mc032-1.jpg.
a.
mc032-2.jpg
b.
mc032-3.jpg
c.
mc032-4.jpg
d.
mc032-5.jpg
 

 33. 

If you drop a ball and let it bounce repeatedly, the rebound height becomes smaller with each bounce.  Using an initial height of 300 inches, the formula for finding the rebound heights can be modeled by mc033-1.jpgfor mc033-2.jpg.  
What is the approximate rebound height for
mc033-3.jpg , the 4th bounce?
a.
2 inches
b.
13 inches
c.
50 inches
d.
75 inches
 

 34. 

Determine all possible functions with an asymptote mc034-1.jpg.
I   mc034-2.jpg
II  mc034-3.jpg

III  mc034-4.jpg

IV mc034-5.jpg

mc034-6.jpg

VI  mc034-7.jpg
a.
I and III
b.
II and V
c.
III and IV
d.
IV and VI
 

 35. 

Describe the end behavior of mc035-1.jpg.
a.
As x approaches infinity, f(x) approaches negative infinity.
As x approaches negative infinity, f(x) approaches infinity.
b.
As x approaches infinity, f(x) approaches infinity.
As x approaches negative infinity, f(x) approaches negative infinity.
c.
As x approaches infinity, f(x) approaches negative infinity.
As
x approaches negative infinity, f(x) approaches negative infinity.
d.
As x approaches infinity, f(x) approaches infinity.
As
x approaches negative infinity, f(x) approaches infinity.
 

 36. 

Which of the following scenarios represents a combination?
a.
The arrangement of 8 books on a shelf.
b.
The number of ways 6 people can be seated at a round table if 2 people must       be seated next to each other.
c.
The letters r,s,t,v,w are used to form 5-letter passwords for a security system.
d.
A seven person committee selected from the junior class.
 

 37. 

The electrical resistance of a wire varies directly as its length and       inversely as the square of its diameter. A wire with a length of 200 inches and a diameter of one-quarter of an inch has a resistance of 20 ohms.  Find the electrical resistance in a 500 inch wire with the same diameter.
a.
50 ohms
b.
200 ohms
c.
1250 ohms
d.
5000 ohms
 

 38. 

A race car driver increases her speed at a constant rate.  What will be her speed after 20 seconds if her initial speed is 17 meters per second and her rate of acceleration is mc038-1.jpg meters per second? 
a.
37.0 meters per second
b.
57.0 meters per second
c.
59.2 meters per second
d.
61.4 meters per second
 

 39. 

The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles.  The company makes 10,000 tires a month.  What is the probability that if a radial tire is purchased at random, it will last between 20,000 and 35,000 miles?
a.
94%
b.
81%
c.
68%
d.
47%
 

 40. 

Identify all x- and y- intercepts of mc040-1.jpg.
a.
mc040-2.jpg
b.
mc040-3.jpg
c.
mc040-4.jpg
d.
mc040-5.jpg
 

 41. 

A polynomial function P(x) has zeros mc041-1.jpg.  Which of the following represents the factors of P(x)?
a.
mc041-2.jpg
b.
mc041-3.jpg
c.
mc041-4.jpg
d.
mc041-5.jpg
 

 42. 

The weights of eggs produced on a farm are normally distributed with a mean of 1.4 ounces and a standard deviation of 0.4 ounces.  To be graded extra large, an egg must weigh at least 2 ounces.  What is the probability that an egg from this farm will be graded extra large?
a.
0.934
b.
0.157
c.
0.066
d.
0.025
 

 43. 

Determine the zeros of mc043-1.jpg.
a.
mc043-2.jpg
b.
mc043-3.jpg
c.
mc043-4.jpg
d.
mc043-5.jpg
 

 44. 

Identify the domain of mc044-1.jpg.
a.
mc044-2.jpg
b.
mc044-3.jpg
c.
mc044-4.jpg
d.
mc044-5.jpg
 

 45. 

Determine the inverse of
mc045-1.jpg
a.
mc045-2.jpg
b.
mc045-3.jpg
c.
mc045-4.jpg
d.
mc045-5.jpg
 

 46. 

Identify the equation that best represents the graph p(x).
mc046-1.jpg
a.
mc046-2.jpg
b.
mc046-3.jpg
c.
mc046-4.jpg
d.
mc046-5.jpg
 

 47. 

Twelve runners are in a cross country race.  How many different ways can they finish first, second, and third?
a.
2200
b.
1320
c.
220
d.
132
 

 48. 

If a temperature is constant, the volume of a gas varies inversely as its pressure.  A gas with a pressure of 150 pounds per square inch occupies a volume of 25 cubic feet.  What is the constant of proportionality for this       variation?
a.
3750
b.
673
c.
6
d.
mc048-1.jpg
 

 49. 

Determine the number of horizontal and vertical asymptotes for mc049-1.jpg
a.
0
b.
1
c.
2
d.
3
 

 50. 

At 1,821 feet tall, the CN Tower in Toronto, Ontario, is the world’s tallest self-supporting structure.  A penny is dropped from the observation deck on top of the tower and falls to the ground.  The table shows the penny’s distance from the ground after various periods of       time (in seconds) have passed.  Where is the penny located after falling for a total of 10.5 seconds?
Time (seconds)Distance
(feet)
01821
21757
41565
61245
8797
10221
a.
57 feet
b.
140 feet
c.
221 feet
d.
300 feet
 



 
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