Name: 
 

Alg. II SOL Diagnostic Test



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

Which is equivalent to algiidiagnostictest_files/i0020000.jpg?
a.
algiidiagnostictest_files/i0020001.jpg
c.
algiidiagnostictest_files/i0020002.jpg
b.
algiidiagnostictest_files/i0020003.jpg
d.
algiidiagnostictest_files/i0020004.jpg
 

 2. 

Vicki works in a store at the Valley View Mall in Roanoke. She started her job on November 1, 2002, at an hourly wage of $6, and receives a 3% raise every 6 months. If she keeps this job, what will be her hourly wage on July 1, 2006?
a.
$6.96
c.
$7.38
b.
$7.16
d.
$7.60
 

 3. 

If a, b, and c are positive real numbers, which equation could be represented by this graph?

algiidiagnostictest_files/i0040000.jpg
a.
algiidiagnostictest_files/i0040001.jpg
c.
algiidiagnostictest_files/i0040002.jpg
b.
algiidiagnostictest_files/i0040003.jpg
d.
algiidiagnostictest_files/i0040004.jpg
 

 4. 

Which equation has solution set algiidiagnostictest_files/i0050000.jpg?
a.
algiidiagnostictest_files/i0050001.jpg
c.
algiidiagnostictest_files/i0050002.jpg
b.
algiidiagnostictest_files/i0050003.jpg
d.
algiidiagnostictest_files/i0050004.jpg
 

 5. 

Which could be an equation for this graph?

algiidiagnostictest_files/i0060000.jpg
a.
algiidiagnostictest_files/i0060001.jpg
c.
algiidiagnostictest_files/i0060002.jpg
b.
algiidiagnostictest_files/i0060003.jpg
d.
algiidiagnostictest_files/i0060004.jpg
 

 6. 

Which is equivalent to algiidiagnostictest_files/i0070000.jpg?
a.
13 – algiidiagnostictest_files/i0070001.jpg
c.
13
b.
37 – algiidiagnostictest_files/i0070002.jpg
d.
37 – algiidiagnostictest_files/i0070003.jpg
 

 7. 

What is the solution set for this system of equations?
algiidiagnostictest_files/i0080000.jpg
a.
{1, 5}
c.
{(0, 1), (4, 5)}
b.
{0, 4}
d.
{(1, 0), (5, 4)}
 

 8. 

Which is the completely factored form of algiidiagnostictest_files/i0090000.jpg?
a.
algiidiagnostictest_files/i0090001.jpg
c.
algiidiagnostictest_files/i0090002.jpg
b.
algiidiagnostictest_files/i0090003.jpg
d.
algiidiagnostictest_files/i0090004.jpg
 

 9. 

Which function is the inverse of algiidiagnostictest_files/i0100000.jpg?
a.
algiidiagnostictest_files/i0100001.jpg
c.
algiidiagnostictest_files/i0100002.jpg
b.
algiidiagnostictest_files/i0100003.jpg
d.
algiidiagnostictest_files/i0100004.jpg
 

 10. 

Matrix P shows the admission prices at the Science Museum of Virginia in Richmond.

algiidiagnostictest_files/i0110000.jpg

Suppose matrix F gives the number of people in each age category for two family groups that are visiting the museum today.

algiidiagnostictest_files/i0110001.jpg

If the Jones family bought tickets to see the exhibits only and the McKay family bought tickets to see both the exhibits and the film, what is the total amount that these two families spent on admission?
a.
$78.00
c.
$126.50
b.
$116.50
d.
$144.00
 

 11. 

How many real solutions does algiidiagnostictest_files/i0120000.jpg have?
a.
0
c.
2
b.
1
d.
3
 

 12. 

Which equation has no real solutions?
a.
algiidiagnostictest_files/i0130000.jpg
c.
algiidiagnostictest_files/i0130001.jpg
b.
algiidiagnostictest_files/i0130002.jpg
d.
algiidiagnostictest_files/i0130003.jpg
 

 13. 

The time needed to remove litter from a park varies directly as the area of the park and inversely as the number of workers. If it takes 4 hours for 5 workers to remove litter from a 120-acre park, how long will it take for 8 workers to remove litter from a 200-acre park?
a.
2 h 30 min
c.
5 hr 36 min
b.
4 h 10 min
d.
6 h 40 min
 

 14. 

Which is the graph of a polynomial function with no real solutions?
a.
algiidiagnostictest_files/i0150000.jpg
c.
algiidiagnostictest_files/i0150001.jpg
b.
algiidiagnostictest_files/i0150002.jpg
d.
algiidiagnostictest_files/i0150003.jpg
 

 15. 

Which graph shows the solution set for algiidiagnostictest_files/i0160000.jpg?
a.
algiidiagnostictest_files/i0160001.jpg
c.
algiidiagnostictest_files/i0160002.jpg
b.
algiidiagnostictest_files/i0160003.jpg
d.
algiidiagnostictest_files/i0160004.jpg
 

 16. 

What is the value of algiidiagnostictest_files/i0170000.jpg?
a.
110
c.
70
b.
85
d.
50
 

 17. 

Which function has a graph with x-intercepts algiidiagnostictest_files/i0180000.jpg and 4?
a.
algiidiagnostictest_files/i0180001.jpg
c.
algiidiagnostictest_files/i0180002.jpg
b.
algiidiagnostictest_files/i0180003.jpg
d.
algiidiagnostictest_files/i0180004.jpg
 

 18. 

Which matrix equation is equivalent to this system of equations?
algiidiagnostictest_files/i0190000.jpg
a.
algiidiagnostictest_files/i0190001.jpg
c.
algiidiagnostictest_files/i0190002.jpg
b.
algiidiagnostictest_files/i0190003.jpg
d.
algiidiagnostictest_files/i0190004.jpg
 

 19. 

Which could be the graph of algiidiagnostictest_files/i0200000.jpg?
a.
algiidiagnostictest_files/i0200001.jpg
c.
algiidiagnostictest_files/i0200002.jpg
b.
algiidiagnostictest_files/i0200003.jpg
d.
algiidiagnostictest_files/i0200004.jpg
 

 20. 

Which represents algiidiagnostictest_files/i0210000.jpg in the standard form a + bi?
a.
algiidiagnostictest_files/i0210001.jpg
c.
algiidiagnostictest_files/i0210002.jpg
b.
algiidiagnostictest_files/i0210003.jpg
d.
algiidiagnostictest_files/i0210004.jpg
 

 21. 

If algiidiagnostictest_files/i0220000.jpg, algiidiagnostictest_files/i0220001.jpg, and algiidiagnostictest_files/i0220002.jpg, which product is not possible?
a.
P ´ R
c.
P ´ P
b.
S ´ P
d.
R ´ P
 

 22. 

Which equation describes a hyperbola with vertices algiidiagnostictest_files/i0230000.jpg and asymptotes algiidiagnostictest_files/i0230001.jpg?
a.
algiidiagnostictest_files/i0230002.jpg
c.
algiidiagnostictest_files/i0230003.jpg
b.
algiidiagnostictest_files/i0230004.jpg
d.
algiidiagnostictest_files/i0230005.jpg
 

 23. 

What property is illustrated by the following statement?
If x = y and y = z, then x = z.
a.
Distributive Property
c.
Symmetric Property of Equality
b.
Reflexive Property of Equality
d.
Transitive Property of Equality
 

 24. 

Which inequality has the empty set as its solution set?
a.
algiidiagnostictest_files/i0250000.jpg
c.
algiidiagnostictest_files/i0250001.jpg
b.
algiidiagnostictest_files/i0250002.jpg
d.
algiidiagnostictest_files/i0250003.jpg
 

 25. 

If the domain of algiidiagnostictest_files/i0260000.jpg is {3, 1, 1, 3}, what is the range?
a.
{16, 36}
c.
{0, 4, 16, 36}
b.
{4, 16, 36}
d.
{0, 4, 14, 18}
 

 26. 

By simply examining algiidiagnostictest_files/i0270000.jpg, which set includes all of the numbers that cannot be solutions of the equation?
a.
{5, 0, 5}
c.
{0}
b.
{5, 5}
d.
{5}
 

 27. 

What is the simplest form of algiidiagnostictest_files/i0280000.jpg?
a.
algiidiagnostictest_files/i0280001.jpg
c.
algiidiagnostictest_files/i0280002.jpg
b.
algiidiagnostictest_files/i0280003.jpg
d.
1
 

 28. 

Which graph shows the solution set for algiidiagnostictest_files/i0290000.jpg?
a.
algiidiagnostictest_files/i0290001.jpg
c.
algiidiagnostictest_files/i0290002.jpg
b.
algiidiagnostictest_files/i0290003.jpg
d.
algiidiagnostictest_files/i0290004.jpg
 

 29. 

Which equation shows that f is directly proportional to the square of d and inversely proportional to the square root of e?
a.
algiidiagnostictest_files/i0300000.jpg
c.
algiidiagnostictest_files/i0300001.jpg
b.
algiidiagnostictest_files/i0300002.jpg
d.
algiidiagnostictest_files/i0300003.jpg
 

 30. 

Ashley and Marita went shopping at the Spotsylvania Mall in Fredericksburg. Their favorite store was having a sale where all sweaters were one price and all jeans were another price. Not including sales tax, Ashley paid $102 for 3 sweaters and 2 pairs of jeans, while Marita paid $96 for 4 sweaters and 1 pair of jeans. If x represents the price of a sweater and y represents the price of a pair of jeans, which matrix equation can be used to find the price for each sweater and the price for each pair of jeans?
a.
algiidiagnostictest_files/i0310000.jpg
c.
algiidiagnostictest_files/i0310001.jpg
b.
algiidiagnostictest_files/i0310002.jpg
d.
algiidiagnostictest_files/i0310003.jpg
 

 31. 

What is the solution set for algiidiagnostictest_files/i0320000.jpg?
a.
algiidiagnostictest_files/i0320001.jpg
c.
algiidiagnostictest_files/i0320002.jpg
b.
algiidiagnostictest_files/i0320003.jpg
d.
algiidiagnostictest_files/i0320004.jpg
 

 32. 

Which is a factor of algiidiagnostictest_files/i0330000.jpg?
a.
(2x – 3)
c.
(4x + 3)
b.
(4x + 1)
d.
(4x – 1)
 

 33. 

A parking garage charges $5 for the first hour and $1.75 for each additional half-hour or portion of a half-hour. Which graph best represents this situation?
a.
algiidiagnostictest_files/i0340000.jpg
c.
algiidiagnostictest_files/i0340001.jpg
b.
algiidiagnostictest_files/i0340002.jpg
d.
algiidiagnostictest_files/i0340003.jpg
 

 34. 

Which type of function would best fit the data in this scatterplot?

algiidiagnostictest_files/i0350000.jpg
a.
exponential
c.
logarithmic
b.
linear
d.
quadratic
 

 35. 

Which system of inequalities best represents this graph?

algiidiagnostictest_files/i0360000.jpg
a.
algiidiagnostictest_files/i0360001.jpg
c.
algiidiagnostictest_files/i0360002.jpg
b.
algiidiagnostictest_files/i0360003.jpg
d.
algiidiagnostictest_files/i0360004.jpg
 

 36. 

Which is equal to algiidiagnostictest_files/i0370000.jpg?
a.
1
c.
i
b.
1
d.
i
 

 37. 

What is another way to write algiidiagnostictest_files/i0380000.jpg?
a.
algiidiagnostictest_files/i0380001.jpg
c.
algiidiagnostictest_files/i0380002.jpg
b.
algiidiagnostictest_files/i0380003.jpg
d.
algiidiagnostictest_files/i0380004.jpg
 

 38. 

If an object is dropped from a height of h0 feet, its height h (in feet) after t seconds is given by the equation algiidiagnostictest_files/i0390000.jpg. The Sun Trust building in Richmond is 400 feet tall. If a ball is dropped from the top of this building, how long will it take the ball to hit the ground?
a.
25.0 s
c.
2.5 s
b.
5.0 s
d.
2.2 s
 

 39. 

This is the graph of a polynomial function h. Which appears to be the solution set of h(x) = 0?

algiidiagnostictest_files/i0400000.jpg
a.
{2}
c.
{3}
b.
{2, 3}
d.
Æ
 

 40. 

The figure shows the graph of a system of equations. How many real-number solutions does the system have?

algiidiagnostictest_files/i0410000.jpg
a.
0
c.
2
b.
1
d.
4
 

 41. 

Since 2000, Virginia’s population has been increasing by about 1.3% per year. What type of function best models this situation?
a.
exponential
c.
logarithmic
b.
linear
d.
quadratic
 

 42. 

If a, b, c, and d are distinct real numbers, which matrix is the additive inverse of algiidiagnostictest_files/i0430000.jpg?
a.
algiidiagnostictest_files/i0430001.jpg
c.
algiidiagnostictest_files/i0430002.jpg
b.
algiidiagnostictest_files/i0430003.jpg
d.
algiidiagnostictest_files/i0430004.jpg
 

 43. 

The chart shows the number of students enrolled in mathematics classes at Northwest High School in September for several recent years. Assuming a linear relationship, which is the best estimate of the number of students who were enrolled in mathematics classes in September, 2004?

Year
2000
2001
2002
2003
Number of Students
1,250
1,322
1,405
1,483
a.
1,170 students
c.
1,510 students
b.
1,200 students
d.
1,560 students
 

 44. 

Which type of function is shown here?

algiidiagnostictest_files/i0450000.jpg
a.
exponential
c.
quadratic
b.
logarithmic
d.
rational
 

 45. 

If algiidiagnostictest_files/i0460000.jpg and algiidiagnostictest_files/i0460001.jpg, which is algiidiagnostictest_files/i0460002.jpg?
a.
algiidiagnostictest_files/i0460003.jpg
c.
algiidiagnostictest_files/i0460004.jpg
b.
algiidiagnostictest_files/i0460005.jpg
d.
algiidiagnostictest_files/i0460006.jpg
 

 46. 

The function algiidiagnostictest_files/i0470000.jpg models the cost C, in thousands of dollars, to remove x% of the pollutants from a lake. What percentage of the lake’s pollutants can be removed if $50,000 is budgeted?
a.
25%
c.
50%
b.
30%
d.
75%
 

 47. 

Which function is represented by the graph?

algiidiagnostictest_files/i0480000.jpg
a.
algiidiagnostictest_files/i0480001.jpg
c.
algiidiagnostictest_files/i0480002.jpg
b.
algiidiagnostictest_files/i0480003.jpg
d.
algiidiagnostictest_files/i0480004.jpg
 

 48. 

Which describes the graph of algiidiagnostictest_files/i0490000.jpg?
a.
circle
c.
hyperbola
b.
ellipse
d.
parabola
 

 49. 

Which equation most closely fits the data in this scatterplot?

algiidiagnostictest_files/i0500000.jpg
a.
algiidiagnostictest_files/i0500001.jpg
c.
algiidiagnostictest_files/i0500002.jpg
b.
algiidiagnostictest_files/i0500003.jpg
d.
algiidiagnostictest_files/i0500004.jpg
 

 50. 

The VHR Company makes replicas of historic sites in Virginia. Its two best selling replicas are of Mount Vernon and Monticello. The company makes a profit of $8 on each replica of Mount Vernon and $10 on each replica of Monticello. To use linear programming to maximize profit, the company’s financial officer developed this feasible region from the constraints on the company’s resources and the pattern of demand for these replicas. The number of Mount Vernon replicas to be made each week is represented by x and y represents the number of Monticello replicas to be made each week. How many of each replica should the company make each week in order to maximize the profit?

algiidiagnostictest_files/i0510000.jpg
a.
200 Mount Vernon replicas, 0 Monticello replicas
b.
150 Mount Vernon replicas, 50 Monticello replicas
c.
100 Mount Vernon replicas, 100 Monticello replicas
d.
50 Mount Vernon replicas, 100 Monticello replicas
 



 
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