March Regional Algebra 2 Individual Test NOTA: None of the above answers is correct 1. What is the domain of f(x) = (x2-9)-3/2 ? a) (-3,3) b) [-3,3] c) )3,( d) )3,( U (3, ) e) NOTA 2. A bouncing ball is dropped from a height of 1 meter. Every time it hits the ground, it bounces to 4/5 of its prior height. What is the total vertical distance traveled by the ball, in meters, if it keeps bouncing forever? a) 2 b) 5 c) 9 d) 16 e) NOTA 3. Along a straight track, train X leaves station A, traveling at 120km/hr towards station B. At the same time train Y leaves station B traveling towards station A at 80 km/hr. At the same time, a bird starts at station A, travels to train Y, back to train X, back to train Y, back to train X, and so on until the trains meet. What is the total distance, in kilometers, traveled by the bird if the stations are 300 km apart and the bird travels at 150 km/hr? a) 150 b) 225 c) 300 d) 375 e) NOTA 4. F(x,y)=3x+4y+12xy. Find F(5,6). a) 300 b) 333 c) 366 d) 399 e)NOTA 5. Two hamburgers, 1 drink, and 2 fries cost $9. Six hamburgers, 8 drinks, and 11 fries cost $42. Three hamburgers, 2 drinks, and 6 fries cost $18.50. What is the cost of 4 hamburgers, 4 drinks, and 4 fries? Assume there are no value meals. a)$21.20 b)$22.00 c)$25.60 d)$27.20 e)NOTA 6. If x-y=4 and x3-y3=80, find xy+x2+y2. a) 20 b)76 c)320 d)cannot be determined e)NOTA 7. Which of the following absolute value inequalities has solution set of real numbers from 23 to 42 noninclusive? a) x+11 > 32.5 b) 42-x < 23 c) x-32.5

March Regional Algebra 2 Individual Test 14. How many times does the function y= -x2+4x+4 intersect the function y=x2 in the real Cartesian plane. a) 0 b) 1 c) 2 d) 3 e) NOTA 15. Factor 9x2 + 16 over the complex numbers. a) (3x + 4)(3x 4i) b) (3x +4)2 c) (x - 16i)(9x +i) d) (3x 4i)(3x + 4i) e) NOTA 16. If one machine can pave 1km in 6 hours and another machine can pave 1km in 8 hours, how many days does it take to pave 10km if both machines are working 24 hrs/day and they do not interfere with each other? a) 240/7 b) 10/7 c) 24/7 d) 365 e) NOTA 17. What is the domain of y =

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a) All real numbers b) The empty set c) -7/5 d) 1/4 e) NOTA 18. How much money do I earn in interest if I invest $10000 for one year at a 40% annual yield, compounded quarterly? a) $4000 b) $4641 c) $14641 d) $16000 e) NOTA 19. In a regular (4 suits) 52-card deck, what is the probability that if you draw two cards they are both of the same number? Treat Jacks as 11, Queens as 12, Kings as 13, and Aces as 1. a) 1/13 b) 1/17 c) 1/169 d) 1/4 e) NOTA 20. Simplify (4 +3i)(6-i). a) 15 b) 21-14i c) 27-14i d) 41 e) NOTA 21. A line passes through (2,9) and (5,0). Find the point of intersection of this line with one perpendicular to it which passes through the origin. a) (2.5,7.5) b) (4,3) c) (4.5,1.5) d) (0,0) e) NOTA 22. Find the sum of the smallest and largest zero of x3-2x2-11x+12. a) -2 b)0 c)1 d)2 e)NOTA 23. How many handshakes are required in a group of 7 for each person to shake hands with each other person? a) 7 b)14 c)21 d)42 e)NOTA 24. When rolling 4 identical, fair, six-sided dice, what is the probability of rolling the same number on at least 2 dice? a) b) 2/3 c) 13/18 d) 29/36 e) NOTA 25. If p varies jointly with q and r and inversely with s, given that p=48 when q =5, r=12, and s=20, find p when q=3, r=10, and s=40. a) 8 b) 12 c) 16 d) 24 e) NOTA 26. The height above the ground of an object under gravitational acceleration is given by h(t)= -16t2+vt+a, where h is in feet, t is in seconds elapsed, v is the original velocity, and a is the original height. How many seconds does it take an object launched upwards at 32ft/sec from a height of 48ft to hit the ground? a) 1 b) 2 c) 3 d) 4 e) NOTA 27. If 5 customs agents process 15 vehicles in 2 minutes, assuming the same rate, how long does it take 7 agents to process 14 vehicles? a) 1 minute b)1 minute 20 seconds c)1 minute 40 seconds d)2 minutes e)NOTA

March Regional Algebra 2 Individual Test

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28. What is the area enclosed by the curve 4x2+y2=16? a) 4 b) 4 c) 8 d) 16 e) NOTA 29. Find the sum of the coordinates of the intersection of a line passing through (1,1) and (6,3) and one passing through (4,1) and (9,-3). a) -5.3 b) -.6 c) 1.3 d) 4.8 e) NOTA 30. Where is the focus of the parabola y=x2? a) (0,0) b)(0,1/4) c)(0,1) d)(1/4,0) e)NOTA