1. In 1977, there were 12,168,450 U.S. households with cable television. In 1997, there were 65,929,420 U.S. households with cable television. Over that time period, what was the average rate of change per year in households with cable television?
2. Harrison High School has 768 students. In 6 years, it is projected to have 1,157 students. What is the projected average rate of change per year in students over this time period? Round your answer to the nearest student and then enter your solution in the blank below.
3. A rabbit population grew in the following pattern: 2, 4, 8, 16, ...
If all the rabbits live and the pattern continues, how many rabits will be in the 8th generation?
4. Pedro throws a ball upward at a rate of 20 meters per second from an initial height of 2 meters. The height of the ball above the ground can be approximated by h = -5t2 + 20t + 2, where t represents the amount of time, in seconds, since the ball has been released. What is the maximum height that the ball reaches?
5. Which of the following graphs shows a function?




6. How can the following compound statement be combined into a statement using absolute value?
x < 5 and x > -1
7. Tickets for a concert cost $15.00 each plus $1.50 each for handling charges. The shipping fee for an order of any number of tickets is $4.00. Which equation could be used to determine the cost, C, of any number of tickets, t?
8. Yia wrote the equation P = 0.25n - (0.05n + 1) to represent the school store's weekly profit, P, from sales of n pencils. Which equation is equivalent to Yia's equation?
9. In an electric circuit, the power dissipated in a load can be modeled by the equation p = iv - i2r. The following chart tells what each variable in the equation represents. In a certain circuit, the voltage supplied is 100 volts and the resistance of the rest of the circuit is 25 ohms. Which of the following currents can be present if the load is expected to use 75 watts of power?
| p = power used by a load in watts |
| v = voltage supplied in volts |
| r = resistance of the circuit external to the load in ohms |
| i = current in the circuit in amperes |
10. The yearly growth of a tree is modeled by concentric circles in a cross-sectional cut through the tree trunk as shown. The one-year-old tree has a diameter of 2.5 centimeters. Which equation models the diameter of the tree, d, in terms of the age of the tree in years, n? (use the diagram below to answer the question)

11. A mathematical diversion sometimes used to amaze and amuse people is the creation of a "black hole" for a certain number. You ask your subjects to take any number, go through some mathematical manipulations, and then you "magically" tell them the remainder. Here is one such "black hole" for the number 3:
Pick any number
Multiply it by 20
Add 15 to your result
Divide that result by 5
Subtract 4 times the number you picked
The answer is always 3.
Show that this will work with any positive number. Explain your answer using algebraic expressions.
Your solution should begin with the following: (20x+15) / 5 - 4x
You should be able to reduce the first fraction and simplify to 3. Try it ... were you able to do this?
12. Two numbers are written in scientific notation as follows: 7.3x10n and 1.2x10q. What is the product of the two numbers?
13. Rosa wants to use $20 to buy games. The inequality 2.50k + 5.50 < 20.00 represents the number of games, k, she can buy with her money. What is the greatest number of games Rosa can buy?
14. The braking distance of Samir's car can be described by the equation below:

15. Given a1 = 1 and an = an-1 + 2. Find a7.
16. Dr. Franklin begins an experiment with 100 bacteria in a container. She finds that the number of bacteria present at any given time is modeled by the following recursive formula:

17. Use the graph below to answer this question.

18. Use the graph below to answer this question:

19. The heights, in inches, of the 15 students in Jared's 11th-grade science class are 60, 66, 65, 74, 68, 67, 70, 65, 67, 69, 71, 68, 67, 70, and 68. What is the upper quartile, Q3, of these data?
20. Use the table below to answer this question.

21. Use the graph below to answer this question.

22. Use the chart below to answer this question.

23. Use the following graph to answer this question.

24. Use the information shown below to answer this question:





25. There are four performers in a school talent show. In how many ways can the performers be arranged by different order of appearance?
26. In the high school parking lot 16% of the vehicles are trucks and 8% of the vehicles are painted yellow. If these characteristics are mutually exclusive, what is the probability that a vehicle in the high-school parking lot will be a yellow truck?
27. What is the probability that a family with 4 children will have exactly 2 girls and 2 boys? (enter your answer, as a decimal, in the blank below)
28. Use the table below to answer the question.

29. A store has 25 VCRs in stock, but 2 of these are defective. What is the probability that the second person to buy a VCR gets a defective one, given that the first customer's was not defective? Round your answer to the nearest thousandth.
30. A survey shows that 55% of the registered voters in Plainville voted on the school budget proposal. Of those who voted, 62% voted to pass the school budget. What is the probability that a registered voter chosen at random voted to pass the school budget?
31. The height of a right cylindrical can of peas is greater than the diameter of the base of the can. The can is sliced into two equal parts through its bases. Which figure best describes the cross section of the cylinder?
32. Use the diagram below to answer the question:

33. Use the diagram below to solve this question:

34. Use the figure below to answer this question:

35. Elena inherited 3 small spherical gold beads from her grandmother. They had radii of 2 mm, 3 mm, and 4 mm. She wanted to have them melted and recast to form one larger sphere. Its radius would be closest to which of the following:
36. Use the diagram below to answer this question.

37. Use the graph below to answer this question:

38. A small plane needs to refuel approximately halfway to its destination. It takes off from its base located at (7, -2) on a coordinate grid and its destination is located at (-3, 6). Which of the following locations is closest to halfway?
39. Ashley connected the following points to form a triangle:
A(-2, 2), B(2, 1), and C(5, 5). She claims that the triangle is isosceles. Draw the triangle on a piece of graph paper. Then use your knowledge of geometry to prove or disprove her claim.
Try this on your own.
To correctly solve this problem, you need to be able to plot all three points on a graph and connect them to make a triangle. After making the triangle you need to be able to show that two of the sides of the triangle are the same length. Try it ... were you able to do it?
40. A commercial artist has a sketch of a rectangular logo that is 7 inches high. She needs to proportianally reproduce the logo on a sign that is 8 feet high. The sketch of the logo contains a letter M that is 5 inches tall. To the nearest tenth of a foot, how tall will the letter M be on the larger sign?
41. A family is carpeting two rectangular rooms. They have chosen carpeting that costs the same amount per square yard for each room. A 12-foot by 15-foot carpet for the bedroom costs $600. If the dimensions of the living room are 20 feet by 28 feet, which amount is closest to what it will cost carpet the living room?