Progress Assessment Mid U3 (PAMU3) This chart shows some of the bonus points awarded for different numbers of points accumulated.

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1 Name: Date: 1. A student is playing a video game. At the end of each level of the game she is awarded bonus points based on the number of points she has accumulated. This chart shows some of the bonus points awarded for different numbers of points accumulated. How many bonus points should the student conclude would be awarded for having accumulated 800 points? A. 8 B. 16 C. 32 D , 5, 7, 9, 11, 13,... The arithmetic sequence represents the values from x = 1 through x = 6. Which linear function matches this sequence? A. y = 2x + 1 B. y = 3x C. y = x + 2 D. y = 3x - 2 1

2 3. 3, 7, 11, 15, 19,... The arithmetic sequence for x = 1 through x = 5 is shown. Determine the slope of the associated linear function. A. -4 B. - C. D , 6, 9, 12, 15, 18,... The arithmetic sequence represents the values from x = 1 through 6. Which linear function matches the series? A. y = 2x + 1 B. y = 3x C. y = x + 2 D. y = 3x Which of the following BEST describes the domain of the relation graphed below? A. {y such that 8 y 2} B. {x such that 4 x 3} C. {y such that 4 y 2} D. {x such that 8 x 3} 2

3 6. The graph of the function f(x) = 3x + 3 is shown. Progress Assessment Mid U3 (PAMU3) What is the value of f(3)? A. 3 B. 0 C. 2 D. 6 Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 3

4 7. This table shows the relationship between n, the number of consecutive hits made in a video game, and number of points scored. Which function best represents this relationship? A. B. C. D. 4

5 8. The graph of the function is shown on this coordinate plane. Which statement is correct? A. The function as its domain and all real numbers as its range. B. The function as its domain and all real numbers as its range. C. The function has all real numbers as its domain and as its range. D. The function has all real numbers as its domain and as its range. 9. Write the sequence as a function if the domain of the function is {1, 2, 3, 4, 5...} A. f(x) = x + 2 B. f(x) = 2x + 1 C. f(x) = 2x - 1 D. f(x) = 2x 3, 5, 7, 9,

6 10. At a water park, a stream of water is shot into the air from the top of a pole that is 12 feet tall. The function graphed on this coordinate grid represents the path of the stream of water from the top of the pole to the ground. What is the domain of the function that represents the path of the stream of water from the top of the pole to the ground? A. to B. to C. to D. to 6

7 11. At a water park, a stream of water is shot into the air from the top of a pole that is 12 feet tall. The function graphed on this coordinate grid represents the path of the stream of water from the top of the pole to the ground. What is the range of the function that represents the path of the stream of water from the top of the pole to the ground? A. B. C. D. 7

8 12. What is the domain of A. all real numbers B. all real numbers except C. all real numbers except D. all real numbers except and 13. Use this information to answer the question. The equation can be used to determine the value, of an item after t years of depreciation. In the equation, A represents the initial value of the item and p represents the percent of decrease in the value per year. A student bought a car for $8000. The value of the car depreciates by 20% per year. What is the value of the car after 3 years of depreciation? A. $2000 B. $3200 C. $4096 D. $5120 8

9 14. Use this information to answer the question. The equation can be used to determine the value, of an item after t years of depreciation. In the equation, A represents the initial value of the item and p represents the percent of decrease in the value per year. At a depreciation rate of 10% per year, what is the least number of whole years it will take for an item to depreciate to less than half of its original value? A. 5 B. 6 C. 7 D A student purchased a car for $15,000. The student expects the value of the car to decrease 20% per year. Which function represents the value of the car after n years? A. B. C. D. 9

10 16. The first 5 terms in a geometric sequence are listed. 500, 250, 125, 62.5, 31.25,... Which function can be used to determine the n th term of the sequence? A. B. C. D. 17. What is the first term in the exponential sequence below? A. 1 B. 3 C. 9 D. 27 This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 10

11 18. The graph shows the height of a sunflower over a period of time. What is the interpretation of the domain for this data? A. The domain shows the average number of days required for a given height. B. The domain gives the number of days the flower has grown. C. The domain shows the total number of flowers. D. The domain gives the height of the flower. 19. The function represents the clearance price on a piece of furniture after a 20% discount has been applied to the current price. The function represents the price on the same piece of furniture after the original price is decreased by $15 for each week the piece of furniture does not sell. Which expression could represent the function A. B. C. D. 11

12 20. The graphs of and are shown on the coordinate plane. Part A What are the domains of these two functions? Label your answers. Part B What are the ranges of these two functions? Label your answers. Part C What is the value of Part D What value(s) of x make obtained algebraically. Show work or explain your answer. true? Explain how the answer can be obtained using the graph and how it can be Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 12