Practice EOC Questions

Transcription

1 Practice EOC Questions 1 One of the events at a high school track meet is the pole vault. The pole vaulter runs toward the crossbar and uses a pole to attempt to vault over the bar. Josh collects data on the shoe sizes of the pole vaulters and the height of the bar the vaulter successfully clears. He notices that the vaulters with larger shoe sizes are able to vault over greater heights. Based on this description which statement appears to be true? A The relationship between shoe size and bar height is negative. As the shoe size increases, the bar height decreases. B C The relationship between shoe size and bar height is causative. A higher jump causes the pole vaulter to have a larger shoe size. The relationship between shoe size and bar height is causative. A larger shoe size causes a pole vaulter to jump higher. D The relationship between shoe size and bar height is associative. A larger shoe size does not cause a pole vaulter to jump higher. 2 A waitress at the Blue Nile Café earns $2.50 per hour plus tips. She works 8 hours each day, 5 days a week. When customers tip her at least 15%, the waitress earns approximately $4.00 for each person she serves. In a 40-hour work week, the total amount of money she earns is a function of the total number of the number of people she serves. For this function, which of the following best describes the set of domain values? A the salary per hour B C the number of hours she works each day the total number of people she serves D the total amount of money she earns 3 The senior members of the glee club went on 5 field trips during the school year. The number of vans needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (12,1), (28,2), (35,3), (42,3), and (50, 4). What is the range for this situation? A {12, 50} B {1, 2, 3, 4} C {12, 28, 35, 42, 50} D {1, 2, 3, 4, 12, 28, 35, 42, 50}

2 4 A math teacher wants to determine if there is a linear relationship between the number of hours a student watches TV and a score on a unit test. A scatterplot of the teacher s set of data is shown. Watching TV and Test Scores Unit Test Score Number of Hours Which of the following equations best represents a reasonable trend line for the data? A y = 5x + 94 B y = 5x + 85 C y = 10x D y = 10x What is the range of the function graphed on the grid? A y 4 B y 0 C 4 y 7 D 0 y 4

3 6 Mr. Given s algebra class collected this set of data. Students predicted the height of each classmate. Then, they measured each classmate s height. The class created the scatterplot shown below. Guessed Heights and Actual Heights Predicted Height (cm) 0 Actual Height (cm) Which statement does not describe this set of data? A For students with an actual height of at least 180 cm, the height predictions were greater than or equal to the actual heights. B For students with an actual height of no more than 150 cm, the height predictions were greater than or equal to the actual heights. C For students who are between 155 cm and 180 cm tall, the height predictions were less than or equal to the actual heights. D For students who are between 155 cm and 180 cm tall, the height predictions were greater than or equal to the actual heights.

4 7 Which graph best represents a continuous function with domain 3 xx 4 A D

5 8 Which representations show y as a function of x? I. II. III. x y x f(x) 0 A I and II only B II and III only C III only D I only 9. A science class found that the number of cricket chirps heard in 14 seconds depends on the outside temperature. The graph below represents the function which models this relationship. Chirps vs. Temperature Number of Temperature Which of the following statements does not describe the function? A The number of chirps increases at a constant rate as the temperature increases. B For every 10 degree temperature increase, the number of chirps increases by 5. C No chirps are heard when the temperature is 40. D If 30 chirps are heard, then it is about 70.

6 10. The table below shows the bonus points that can be earned on each of the first 4 levels of a video game. Level Bonus Points Predict the number of bonus points that can be earned on level 6. Record your answer and fill in the bubbles on your answer document. 11. The graph below shows the height of a basketball when it is dropped from a height of 200 ft. Heigh Time (sec) Based on the information in the graph, which of the following statements is not true? A B C D The basketball has not been dropped when it is 200 feet above ground. It takes approximately 3.5 seconds for the basketball to reach the ground. The basketball is approximately 56 feet from the ground when 3 seconds have elapsed. After 100 seconds, the basketball is 2.5 feet in the air. 12. A writer wants to hire someone to type the manuscript for his new novel. The speed of Typist A can be modeled by the function W(t) = 170,000 65t where the number of words remaining to be typed, W(t) is a function of t, time. The speed of Typist B is modeled by the function W(t) = 170,000 50t where the number of words remaining to be typed, W(t) is a function of t, time. Based on this information, which statement is true? A The entire manuscript is typed 15 words per minute faster by Typist B than Typist A. B The entire manuscript is typed 15 words per minute slower by Typist B than Typist A. C D The entire manuscript is typed the same number of words per minute by either typist. The entire manuscript can be typed in 170,000 minutes.

7 13. Train passengers pay $283 to ride to New Orleans. This price includes one checked piece of luggage. Each additional checked piece of luggage costs $17. Which equation could be used to find the cost in dollars a passenger will pay to travel with n pieces of luggage, where n 1? A c = 17n B c = n C c = 17(n + 1) D c = 17(n 1) Which of the following tables does not represent a function? a. II. III. IV. x y x y x y x y A I and IV only B II and III only C II and IV only D I and III only 15. A department store is having a sale on shirts. The regular price is $25.00 per shirt, and the shirts are on sale for 20% off the regular price. The store also charges 8.25% for sales tax. The function, f(x) = 20x (20x), can be used to determine the total cost for x shirts. What is the total cost for 5 shirts? A $21.65 B $ C $ D $108.25

8 16. A high school charges $5 for an admission ticket to a football game. The total revenue is a function of the number of tickets sold. Which of the following statements is true? A The relationship between the total revenue and the number of tickets sold is a causal one because an increase in total revenue causes an increase in the number of tickets sold. B C The relationship between the total revenue and the number of tickets sold is a causal one because an increase in the number of tickets sold causes an increase in the revenue. The relationship between the total revenue and the number of tickets sold is an associative one because an increase in the number of tickets sold does not cause an increase in the revenue. D The relationship between the total revenue and the number of tickets sold is a negative one because as the number of tickets sold increases, the revenue decreases. 17. Which of the linear functions can be represented by 3x 4y = 24? a. II. III. x y The linear function that has intercepts at (8,0) and (0, 6) A I and II only B II and III only C I and III only D I, II and III

9 18. What is the domain of the function graphed on the grid? A { 4, 2, 0, 4, 6} B { 1, 0,1, 3, 4} C 4 x 6 D 1 x A ticketing service charges for each ticket and a convenience fee for the total order. The cost of several orders is shown below. Number of Tickets Purchased Total Cost ($) Based on this set of data, what is the cost for one ticket without any convenience fees? Record your answer and fill in the bubbles on your answer document.

10 20. A courier service charges for delivery of an envelope or small package based on the number of miles the destination location is from their headquarters. The function C(m) = m is used to calculate the delivery cost, c, for a delivery to a location that is m miles from the courier service s headquarters. Which statement is not true about the graph of C? A The slope of the line is 1.5 and represents the cost for each additional mile. B The graph includes the point (25, 60) which represents the total cost for 25 miles is $60. C The y-intercept of the line is (0, 22.50) and represents the cost with no additional miles. D The x-intercept of the line is ( 15, 0) and represents a refund of $15 if no miles are driven. 21. Which statement best represents a very strong linear correlation between two variables? A The correlation coefficient is larger than 1. B The correlation coefficient is close to 1 or 1. C The correlation coefficient is close to 0. D The correlation coefficient is equal to The scatterplot shows the number of cups of coffee consumed by an individual and his or her hours of sleep that evening. Coffee and Sleep Hours of Sleep 0 Cups of Coffee Which equation best represents a line of best fit for this data? A y = 0.6x B y = 0.7x C y = x + 11 D y = 0.8x + 7.8

11 23. The table represents some points on the graph of linear function f. What is the zero of f? x f(x) Record your answer and fill in the bubbles on your answer document. 24. The graph of the linear function g passes through the points ( 6, 6), ( 4, 2), (1, 8), and (4, 14). Which of the following statements is true? A The graphs of g and 2x y = 6 share the same y-intercept. B The graphs of g and 2x y = 6 share the same x-intercept. C The graphs of g and 2x y = 6 have the same slope. D The graphs of g and 2x y = 6 are the same line. 25. Which set represents the range of the function g(x) = 14 2x if the domain is x = { 2, 4, 9}? A y = {2.5,5, 8} B y = { 4, 6,18} C y = {10, 22, 32} D All real numbers

12 26. Which situation can be represented by this graph? a. The cost of buying x pairs of shoes that cost $90 each. b. The cost of buying x concert tickets that cost $60 each. c. The amount saved after x deposits of $15 and an initial deposit of $75. d. The amount paid on a $75 loan after x weekly payments of $ The table represents some points on the graph of quadratic function g. x g(x) Which statement about the graph of g is true? A The graph of g has a maximum value at ( 2, 9). B The graph of g has an axis of symmetry at x = 5. C The graph of g has an x-intercept between 0 and 2. D The graph of g has an x-intercept at (0, 5).

13 28. The graphs of quadratic functions f and g have the same x-intercepts. Which of these statements are true about f and g? I. The graphs of f and g have the same y-intercept. II. The graphs of f and g have the same axis of symmetry. III. The graphs of f and g have the same domain. IV. The graphs of f and g have the same vertex. A I only B II only C I and IV D II and III 29. Two points of quadratic function p are shown on the grid. What is the equation for the axis of symmetry for p? A x = 5 B x = 2.5 C y = 5 D y = 2.5

14 30. George is learning to play disc golf. The quadratic function yy = 0.35xx 2 + 2xx + 3 models the height over time of one of his throws. Time (seconds) What is the domain of this situation? A All real numbers B 7 x 0 C 0 x 7 D 3 x The exponential function ff(xx) = aabb xx is graphed below. Which of the following statements is not true about f? A The value of a is positive. B The function has an asymptote at y = 0. C The range of f is y > 0. D The value of b is negative.

15 32. A population of 1600 small birds increases by 2.5% per year. Approximately how long will it take for the bird population to be more than double the current population? A 2 years B C 3 years 28 years D 29 years 33. What is the y-intercept of the exponential function graphed below? A (0, 300) B (0, 250) C (0, 6) D There is no y-intercept.

16 34. A table of values for the exponential function f is shown below. Time, years Which situation best describes this function? Amount, $ 0 3, , , , , ,860 A. The value of a bank account decreases by $248 dollars each year. B. The value of a bank account increases by $248 dollars each year. C. The value of a bank account increases by approximately 7 1 % each year. 4 D. The value of a bank account decreases by approximately 7 1 % each year The table represents some points on the graph of quadratic function f. x f(x) What is the range of f? A B C f (x) 1 f (x ) 3 f (x) 4 D f (x) 5

17 36. Scientists are tracking the population of a specific species of bird. They have determined that the function P(x) = 575(1.025) x models the number of birds, P(x), in thousands after x years. Which of the following is true about the bird population? a. The number of birds was initially 1,025 birds. b. The number of birds was initially 575 birds. c. The number of birds of birds is increasing by 25% each year d. The number of birds of birds is decreasing by 2.5% each year

18 37. The population of Midsize City, USA is 150,000 and is expected to grow 5% each year. Which of the following functions best represents the population after x years? A B C D f (x) = 5(150, 000) x f (x) = 150, 000(5) x f (x) = 0.05(150, 000) x f (x) = 150, 000(1.05) x 38. A table of values for the linear function g is shown below. x g(x) Which situation can be modeled by this function? A The cost of a taxi ride is $1.25 per mile plus a $5.00 surcharge. B The cost of a taxi ride is $1.50 per mile plus a $5.00 surcharge. C The cost of a taxi ride is $1.25 per mile plus a $2.50 surcharge. D The cost of a taxi ride is $1.50 per mile plus a $2.50 surcharge. 39. The function y = 50x can be used to find the amount of money in Antwann s savings account x months after he opens the account. Based on this information, which statement about the graph of this situation is true? A The y-intercept of the graph represents the amount being withdrawn each month. B C The slope of the graph represents the amount being withdrawn each month. The x-intercept of the graph represents the initial deposit amount. D The slope of the graph represents the initial deposit.

19 40. The graph shows the number of miles Dan is from home based on the time he spent driving. Dan s Drive Home tance from Home, miles Time Spent Driving, hours Based on the information in the graph, what is a reasonable domain for this situation? A All real numbers B 0 x 5 C 0 x 350 D x A rocket is launched from the ground. The height of the rocket at time x can be modeled by the equation f (x) = 16x x. Based on this function, which statement is true? A The height of the rocket will reach a maximum between 5 and 6 seconds. B The height of the rocket will decrease and then increase. C The height of the rocket is increasing at a constant rate. D The height of the rocket reaches 164 meters two seconds after launch.

20 42. Which of the following graphs best represents exponential decay? A C B D 43. Which of the following does not describe the graph of the function f (x) = 4x 2 + 2x + 6? A The points ( 1, 0) and (1.5, 0) are x-intercepts of the graph of the function. B The vertex of the function occurs at the point (0.25, 6.25). C The axis of symmetry of the function is x = D The graph of the function has a maximum.

21 44. The graph below shows the population growth for a particular type of bacteria over several hours. Bacteria Growth Population (in thousands) Time (in hours) Based on the information in the graph, what is a reasonable prediction for the bacteria population after 6 hours? A 90,000 B 243,000 C 729,000 D 2,187, Sara opened a savings account with an initial deposit of $950. She withdrew the same amount each month. Her balance each month is shown in the table. Month Balance 0 $ $ $ $ $ What is the rate of change of the balance in Sara s savings account? A $50.00 B $40.50 C $37.50 D $34.50

22 46. The slope of line k that passes through the points (2, 2) and (6, r) is 2. (2, 2) (6, r) k What is the value of r? 4 Α. 3 B. 6 C 6 D 1

23 47. Maria is walking away from a motion sensor. Her distance from the motion sensor, y, at x seconds is recorded in the table. Time (sec) x Distance from the Motion Sensor (ft) y Based on the data in the table, which of the following statements is true? A Maria starts 3.8 feet from the motion sensor. B Maria starts 0 feet from the motion sensor. C Maria walks at a rate of 1.8 feet per second. D Maria walks at a rate of 3.6 feet per second.

24 48. The graph below shows the relationship between a plumber s total fee and the number of hours she works on a repair job. Plumber s Fee for Repair Job mber s Fee Hours Worked What does the y-intercept of the graph represent? A The number of hours the plumber worked for a fee of $ B The number of hours the plumber worked C The plumber s fee for 1 hour of work D The plumber s fee before any hours are worked 49. Roberto s company pays him for each appointment he makes and a monthly cell phone allowance. When Roberto made 15 appointments, his monthly pay was $364. If he makes an additional 10 appointments, his monthly pay would be $532. Which equation can be used to find p, the total pay given a appointments? A p = 22.40a B p = 18a C p = 16.80a D p = 12a + 80

25 50. The graph below shows Alisha s height above ground as she walks up the stairs. Alisha s Walk ght (floors) 0 Time (min) Marcus is walking at the same rate as Alisha. After 12 minutes he is on the ninth floor. Which equation can be used to find y, the height above ground in floors for Marcus at x minutes? A y 1 = 1 (x 12) 3 B y 9 = 1 (x 12) 2 C y 12 = 1 (x + 9) 2 D y + 9 = 3 (x 12) Amal received $50 for his birthday and wants to buy a refurbished smart phone. The phone he wants to buy costs $230, so he plans to save $25 each month. Which equation can be used to find y, the dollar amount to purchase the phone for x months? A y 50 = 75(x 1) B y 75 = 25(x 1) C y 230 = 25(x 1) D y 75 = 50(x 1)

26 52. Roxy is using blocks to build a skyscraper for a display. She recorded the number of blocks needed based on the number of floors in the skyscraper in the table below. Number of floors, x Number of blocks needed, y Which equation can be used to find y, the number of blocks needed for x floors? A 20x + 5y = 5 B 20x + y = 5 C 20 x 5y = 5 D 20x y = What is the equation in standard form of the line that passes through the point (2, 4) and has a slope of ½? A x 2y = 10 B 2x y = 5 C x + 2y = 10 D 2x + y = 5

27 54. What is the equation of the line perpendicular to the line graphed below that passes through (3, 14)? A y = 1 x 14 3 B y = 1 x C y = 3x + 5 D* y = 3x The slope of the line that passes through the points (6, h) and (0, 11) is of h? 2. What is the value 3 A h = 15 B h = 11 C h = 7 D h = 2

28 56. Which of the following equations represents the line that passes through the points ( 5, 3) and (10, 9)? I. yy 9 = 4 (xx + 5) 5 II. yy = 4 (xx + 5) III. 4xx + 5yy = 5 IV. yy = 4 5 xx 1 A. II and III only B. III and IV only C. I, II, and III only D.II, III, and IV only 57. While eating licorice Joe measured the length of the licorice remaining after each bite. He collected the following data about the relationship between the remaining amount of licorice and the number of bites taken. Number of Bites Length (in) If he continues to bite off licorice at the same rate, what will be the length of the licorice after 10 bites? a. 29 inches b. 21 inches c inches d. 15 inches

29 58. The graph below shows the total distance traveled by a train over time on a rural train track. Distance and Time for a Train tance (mi.) 0 Hours Which statement about the graph of this situation is true? A The slope of the graph represents the length of the train is about 1,170 feet. B The slope of the graph represents the total number of hours traveled is about 10 hours. C The slope of the graph represents the total distance traveled is about 600 miles. D The slope of the graph represents the average speed of the train is about 66 mph.

30 59. The function y = x can be used to find the balance of a savings account x weeks after it is opened. Based on this information, which statement about the graph of this situation is true? A The y-intercept of the graph represents the amount of money withdrawn each week. B The y-intercept of the graph represents the amount of money deposited each week. C The y-intercept of the graph represents the total amount of money in the account at 4.5 weeks. D The y-intercept of the graph represents the amount of money in the account when it was opened. 60. What is the equation in standard form of the line that passes through the point ( 15, 4) and has a slope of 2? 5 A 2x 5y = 50 B 2x 5y = 50 C 2x + 5y = 50 D 2x + 5y = What is the y-intercept of the graph of the line that passes through (15, 2) and ( 9, 14)? Record your answer and fill in the bubbles on your answer document.

31 62. The total charge that a tow truck driver charges to tow a vehicle can be represented by the graph below. Charge and Number of Miles Towed al Charge (dollars) 0 Number of Miles Towed Which equation best represents this situation? A y = 7x B y = 6x + 50 C y = 8x + 80 D y = 10x What is the equation of a line that is perpendicular to the x-axis and passes through the point ( 4, 2)? A x = 4 B y = 4 C x = 2 D y = 2

32 64. What is the equation of the line perpendicular to 1 y = x 6 3 that passes through ( 6, 11)? A y = 3x B y = x 13 3 C y = 1 x 9 3 D y = 3x Which of the following equations represents the line that passes through (11, 15.5) and is parallel to the line y = 2x 5? I. y 11 = 2(x 5) II. y = 2(x 11) 15.5 III. 2x y = 5 IV. y = 2x A I and II only B II and IV only C I, II, and IV only D II, III, and IV only

33 66. The graph of the line shown below contains the points ( w, 2w) and (2w, w). ( w, 2w) (2w, w) What is the slope of the graph of the line if w 0? Record your answer and fill in the bubbles on your answer document. 67. What is the solution to the equation 10 (7x + 3.5) = (x 2.5)? Record your answer and fill in the bubbles below. 68. The point (1, 3) is in the solution set of 2x y > 5. Based on this information, which statement about the inequality is true? A The statement is true because the point (1, 3) lies on the line 2x y = 5. B The statement is true because the point (1, 3) is the region y > 2x 5. C The statement is false because the point (1, 3) lies on the line 2x y = 5. D The statement is false because the point (1, 3) is in the region y > 2x 5.

34 69. What must be true about the value of n in the inequality be part of the solution? A. nn 0 B. nn 0 C. nn > 0 D. nn < 0 70What is the solution to the inequality 1 (4 x+ 10) < 7 x+ 5? 5 5 A x < 5 B x > 5 25 C x > 3 25 D x < Rena is choosing a gym membership. The cost for a few months is shown below. Number of Months Cost for Jim s Gym Cost for Fred s Fit Place 1 $215 $145 2 $250 $190 3 $285 $235 4 $320 $280 Which of the following statements best describes Rena s options for gym membership? A The cost of Jim s Gym will always be more expensive than the cost of Fred s Fit Place. B C The cost of Jim s Gym and Fred s Fit Place will cost the same if Rena joins for exactly 8 months. The cost of Fred s Fit Place will be more than Jim s Gym if Rena joins for exactly 8 months. D The cost of Jim s Gym and Fred s Fit Place will cost the same if Rena joins for more than 8 months.

35 72. The sum of the perimeters of 2 different regular hexagons is 66 and the difference between their perimeters is 30. If x represents the side length of the larger regular hexagon and y represents the side length of the smaller regular hexagon, which of the following systems of equations can be used to find the dimensions of the regular hexagons? A B C D x + y = 66 x y = 30 2x + 2y = 66 2x 2y = 30 6x + 6y = 66 6x 6y = 30 6x + 2y = 66 6x 2y = What is the value of y in the solution to this system of equations? 2x = 4y + 13 y = 3x + 9 A B C D

36 74. The graph of a system of equations is shown on the grid. What is the solution to this system of equations? A ( 10, 4) B ( 4, 10) C ( 6, 2) D This system of equations does not have a solution.