Algebra II 2010–2011 Semester 2 Exam — Released
1. What are the solutions of ?
(A)
(B)
(C)
(D)
2. Simplify the radical expression:
(A)
(B)
(C)
(D)
3. Simplify the expression:
(A)
(B)
(C)
(D)
4. Let and . What is ?
(A)
(B)
(C)
(D)
5. Let and . What is the product of and ?
(A) –2
(B) 10
(C) 11
(D) 28
6. Let and . Which expression is equal to ?
(A)
(B)
(C)
(D)
7. What is the inverse of the function ?
(A)
(B)
(C)
(D)
8. Which is the graph of ?
(A)
(B)
(C)
(D)
9. What is the value of x in the equation ?
(A) 1
(B) 4
(C) 13
(D) 16
10. A book company uses the formula to calculate the cost C to produce x pamphlets. How many pamphlets can be produced for a cost of $200?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
11. Multiply the complex numbers:
(A)
(B)
(C)
(D)
12. Which graph represents the function ?
(A)
(B)
(C)
(D)
13. What function describes the graph below?
(A)
(B)
(C)
(D)
14. Simplify the expression:
(A)
(B)
(C)
(D)
15. Evaluate the expression:
(A) −4
(B) −3
(C) 3
(D) 16
16. What is the solution of the equation ?
(A) x = 256
(B) x = 32
(C) x = 16
(D) x = 4
17. Solve the equation for x.
(A)
(B)
(C)
(D)
18. What is the value of x if ?
(A) −2
(B) −1
(C)
(D) 3
19. The value of a new car was $27,000 in 2005. The car loses 15% of its value each year. Which formula represents the car’s value, , t years after 2005?
(A)
(B)
(C)
(D)
20. What is the minimum or maximum value of the quadratic function ?
(A) −11
(B) −4
(C) 2
(D) 9
21. The variable z varies jointly with x and y. If and when , then what is the value of z when and ?
(A)
(B)
(C)
(D)
22. Which is the graph of ?
(A)
(B)
(C)
(D)
23. What are the asymptotes of the function?
(A)
(B)
(C)
(D)
24. Simplify the expression.
(A)
(B)
(C)
(D)
25. Solve:
(A)
(B)
(C)
(D)
26. Solve:
(A)
(B)
(C)
(D)
27. Tina can paint a fence in 8 hours. Tom can paint the same fence in 4 hours. How long will it take them to paint the fence if they work together?
(A) hour
(B) hour
(C) hours
(D) 12 hours
28. Given the system of linear equations:
Which equation shows the solution to the system using an inverse matrix?
(A)
(B)
(C)
(D)
29. What graph represents ?
(A)
(B)
(C)
(D)
30. Which is the equation for the graph below?
(A)
(B)
(C)
(D)
31. Which graph represents ?
(A)
(B)
(C)
(D)
32. Which equation represents the graph below?
(A)
(B)
(C)
(D)
33. What type of conic section has the equation ?
(A) circle
(B) ellipse
(C) hyperbola
(D) parabola
34. Which is the equation of an ellipse?
(A)
(B)
(C)
(D)
35. Which function is represented by the graph?
(A)
(B)
(C)
(D)
36. What is the expanded form of the series?
(A)
(B)
(C)
(D)
37. Write the series in summation notation:
(A)
(B)
(C)
(D)
38. Which equation represents the sum of the first ten terms of the series ?
(A)
(B)
(C)
(D)
39. A bacteria culture starts with 30 bacteria. After one hour the bacteria doubles to 60. The number of bacteria double each subsequent hour. How many bacteria are present after 5 hours?
(A) 150
(B) 300
(C) 480
(D) 960
40. Which represents the sum of the infinite geometric series ?
(A)
(B)
(C)
(D)
41. Which is the formula for the nth term of an arithmetic sequence when and ?
(A)
(B)
(C)
(D)
42. Which is a formula for the geometric sequence ?
(A)
(B)
(C)
(D)
43. Which is a recursive rule for the sequence 5, 8, 14, 26, …?
(A)
(B)
(C)
(D)
44. A witness to an auto accident reported seeing a partial license plate number. The question marks (?) indicate symbols the witness did not see.
The standard configuration for a Nevada license plate is 3 digits followed by 3 letters, with repetition allowed. (Nevada DOES NOT use the letter “O” in its standard configuration.)
How many vehicle license plates are possible suspects?
(A) 1,800
(B) 1,872
(C) 2,025
(D) 2,500
45. Eight Olympic athletes are swimming in a race. How many permutations of gold, silver, and bronze medals are possible?
(A) 24
(B) 56
(C) 336
(D) 512
46. What is the expanded form of the binomial ?
(A)
(B)
(C)
(D)
47. What is the coefficient of the term in the expansion of ?
(A) 8
(B) 16
(C) 24
(D) 32
2010–2011 1 GO ON
Clark County School District Revised 08/02/2011
Algebra II 2010–2011 Semester 2 Exam — Released
48. A deck of cards has 6 red, 9 white, and 14 blue cards. Three cards are selected at random without replacement. Which expression represents the probability that all three cards are white?
(A)
(B)
(C)
(D)
49. A school’s exit exam scores were reported to the media. The student with the highest score on the exam had been mistakenly reported as 10 points lower than the actual score. What statistical measure changed when the mistake was corrected?
(A) mean
(B) median
(C) mode
(D) No statistical measures changed.
50. The box-and-whisker plots show runs scored by two high school baseball teams.
Which statement is true?
(A) The range of Team A’s scores is greater than the range of Teams B’s scores.
(B) The range of Team B’s scores is greater than the range of Team A’s scores.
(C) The interquartile range of Team A’s scores is greater than the interquartile range of Team B’s scores.
(D) The interquartile range of Team B’s scores is greater than the interquartile range of Team A’s scores.
2010–2011 12 GO ON
Clark County School District Revised 08/02/2011
Algebra II 2010–2011 Semester 2 Exam — Released
Free Response
1. This question obsolete as of 2011–2012. See new test specifications and practice questions.
2. This question obsolete as of 2011–2012. See new test specifications and practice questions.
3. This question obsolete as of 2011–2012. See new test specifications and practice questions.
2010–2011 1 GO ON
Clark County School District Revised 08/02/2011