Honors Algebra II B
Cobb County Fall JV Tournament 2007
1. In a regular hexagon, the diagonals are increased by 30 percent. By what percentage will the area of the hexagon increase as a result? / a)69 percentb)79 percent
c)45 percent
d)50 percent
e)48 percent
2. Each member of a research group visited either the Virgin Islands or Hawaii. If 8 members went to the Virgin Islands, 13 went to Hawaii, and 3 went to both locations, how many researchers were in the group? / a)13
b)15
c)18
d)21
e)24
3. If x > 1 and , what is the value of m? / a)
b)3
c)
d)2
e)4
4. If k is divisible by 2, 3, and 15, which of the following expressions is also divisible by these numbers? / a)k + 5
b)k + 15
c)k + 20
d)k + 30
e)k + 45
5. If Tom is twice as old as Linda, and Linda is 4 years younger than Karen, and Karen is one-third as old as Brian who will be twice as old as Tom next year, how old is Tom now? / a)26
b)22
c)18
d)14
e)10
6. If a and b are consecutive even integers and ba > 0, which of the following is equivalent to the value of their product? / a)
b)
c)
d)
e)
7. For all x > 0, simplifies to: / a)x + 3
b)x + 4
c)2(x + 3)
d)2(x + 4)
e)2(x + 3)(x + 4)
8. What integer most nearly approximates? / a) 20
b) 40
c) 63
d) 200
e) 2,000
9. If the expression x2 – kx –12 is equal to zero when x = 4, what is the value of k ? / a) 7
b) 1
c) 1
d) 3
e) 7
10. What positive value of k would make the lines below parallel in the standard (x,y) coordinate plane?
kx + 2y= 8
18x + ky = 12 / a) 0
b) 2
c) 6
d) 8
e) 12
11. Lines m and n are parallel lines. If and, what is the measure of ?
/ a)34
b)106
c)74
d)84
e)Cannot be determined from the information given.
12. is bounded by points (-2, 3) and (6, -7). Determine the equation of the line that is the perpendicular bisector of . / a)
b)
c)
d)
e)
13. Sally is one-third of her mom’s age. In 15 years, Sally’s mom will be twice Sally’s age. How old is Sally? / a) 15
b) 30
c) 45
d) 60
e) 75
14. Simplify / a)
b)
c)
d)
e)
15. A new professional tiddlywinks league will have teams from exactly four cities, to be chosen from: New York, Chicago, Los Angeles, Boston, Philadelphia, San Diego, and Atlanta. At least two of the cities must be among the largest three – New York, Chicago, and Los Angeles. New York and San Diego will not be in the league together. Los Angeles and Boston will not be in the league together. Philadelphia and San Diego will not in the league together. Which of the following statements must be true?
I. San Diego and Boston will not be in the league together.
II. If either Chicago or San Diego is in the league, both will be.
III. If Boston is in the league, then Chicago is in the league. / a) I and II only
b) I and III only
c) II and III only
d) I only
e) I, II, and III only
16. How many functions can be defined from a domain D = {1, 2, 3} onto a range R = {4, 5}? / a)5
b)6
c)7
d)8
e)9
17. Simplify / a)
b)
c)
d)
e)
18. What is the probability that the sum of the numbers rolled on a pair of fair six-sided dice is a prime? / a)
b)
c)
d)
e)
19. The polynomial has roots r and s. If has roots and , then (b, c) is / a)(82, 9)
b)(200, 4)
c)(100, 9)
d)(12, 15)
e)(75, 9)
20. Find the domain of the following function . / a)All real numbers except and 6.
b)All real numbers except and 6.
c)
d)
e)
21. The supplement of an angle is ten times the measure of the angle’s complement. Find the measure of the angle. / a)18
b)36
c)60
d)72
e)80
22. If AD is the diameter and m<C = 125°, what is the measure of <A?
/ a)35°
b)55°
c)62.5°
d)90°
e)125°
23. Let x and y be real numbers. The smallest possible value of is / a)2
b)1003
c)2002
d)2004
e)2006
24. Find the linear function f(x) that satisfies both of the following conditions:
/ a)2x
b)2x 1
c)2x+2
d)2x+1
e)2x 2
25. It is known that x and y are positive rational numbers and that x + y = 5. What is the smallest possible value of the expression / a)1
b)2
c)
d)
e)
Cobb County Fall JV Tournament 2007
Written Test Answer Key
1. A
2. C
3. C
4. D
5. B
6. E
7. C
8. C
9. B
10. C
11. C
12. D
13. A
14. E
15. B
16. B
17. A
18. E
19. E
20. D
21. E
22. B
23. C
24. D
25. E