Study Island Algebra 2 Post Test

Transcription

1 Study Island Algebra 2 Post Test 1. A two-sided fair coin has been tossed seven times. Three tosses have come up tails and four tosses have come up heads. What is the probability that the next toss will come up tails? A. 1 / 2 B. 1 / 8 C. 1 / 4 D. 7 / 8 2. Which best describes the effect on the graph of f(x) = 4x + 6 if the y-intercept is changed to - 6? A. The y-intercept increases. B. The slope decreases. C. The new line passes through the origin. D. The x-intercept increases. 3. Graph the following system of inequalties. y > 1 y > -1 / 2 x + 2 W. X.

2 Y. Z. A. Y B. X C. Z D. W 4. Which point, R, S, T, or U on this number line is closest to - 7? A. R B. T C. U D. S 5. What is the explicit formula for this sequence? 13, 21, 29, 37, 45,... A. a n = 5 + 8n B. a n = 21-8n C. a n = 6 + 7n D. a n = 20-7n 6. Find the solution to the system of equations below. 4x + y = 12 2x - 3y = 6 A. x = 1, y = 8 B. x = 0, y = -2 C. x = 4, y = -4 D. x = 3, y = 0

3 7. If f(x) = x 2 + x and g(x) = x + 7, what is f(g(x))? A. x 2 + x + 7 B. x 2 + 8x + 56 C. x x + 49 D. x x At Quaker Mills High School 30% of the students have parking privileges at the school. In the same school 30% of the students participate in sports. What is the probability that a student selected at random has parking privileges at the school and participates in sports? A. 1 / 10 B. 9 / 100 C. 1 / 2 D. 1 / The graph of g(x) = x 3 + 7x x + 7 is translated up 3 units to produce the graph of the function h(x). Which of the following could be h(x)? A. h(x) = x 3 + 7x x + 10 B. h(x) = x 3 + 7x x + 10 C. h(x) = x 3 + 7x x + 4 D. h(x) = x x x Mr. Robertson was looking at the test grades of two of his students, shown in the table below. Test 1 Test 2 Test 3 Test 4 Jimmy Brian Which statement below best describes the students' grades? A. Jimmy's median test score is less than Brian's median test score by 17 points. B. Jimmy's mean test score is greater than Brian's mean test score by 18 points. C. Jimmy's median test score is greater than Brian's median test score by 19 points. D. Jimmy's mean test score is less than Brian's mean test score by 18 points. 11. Solve for q. 2q < 6 A. q < -3 B. q > -15 C. q < -15 D. q > -3

4 12. Which of the following is a correct statement? A. - 4 / 7 > - 7 / 4 B. - 4 / 7 < - 7 / 4 C. - 7 / 4 > 4 / 7 D. 7 / 4 < 4 / STATS Property & Casualty keeps a list of the top 40 executives and their annual salaries. When the salaries of the five highly compensated members of the Board of Directors is added to this list, which of the following statistics is most likely to be approximately the same or nearly the same for the original list and the new list? A. The range B. The standard deviation C. The median D. The mean 14. The points scored by the Boston Devil Rays basketball team during the first five games of the season are listed below. 65, 71, 65, 78, 82 During the sixth game,the Devil Rays played a much better opponent and scored only 20 points. Which of these will change the most as a result of the score in the sixth game? A. the median of the data C. the mean of the data B. the range of the data D. the mode of the data 15. Which list of numbers is in order from least to greatest? A. -8, - (8), 8.08, 8, 8.8, (-8) 2 B. (-8) 2, -8, - (8), 8, 8.08, 8.8 C. (-8) 2, - (8), -8, 8.08, 8, 8.8 D. -8, - (8), 8, 8.08, 8.8, (-8) In 2003, the population of Charlotte, NC was 584,658. According to the U.S. Census Bureau, Charlotte has been growing at the rate of 4.8% annually since What equation models the population of Charlotte t years after 2003? A. y = 584,658( ) t B. y = 584,658( ) t C. y = 584,658(0.048) t D. y = 584,658( ) t

5 17. Which of the following represents a correct procedure for solving each given equation? A. 8(x - 5) = 24 8x - 40 = 24 8x = -16 x = -2 C. 8x - 21 = -2x x - 21 = 9 10x = 30 x = 3 B. -2(x - 5) = -12-2x - 10 = -12-2x = -2 x = 1 D. 5-2x = 8x = -10x = 10x 3 = x 18. The table below illustrates the decay of a sample of radioactive uranium. Time in Days, x Sample Remaining (grams), U Which equation best models this set of data where U represents the amount of sample remaining, in grams, at time x? A. U = 26.7x x C. U = x B. U = 500(0.49) x D. U = 500(0.51) x 19. A 15 ft. flag pole is mounted on top of a school building. If the top of the flagpole forms a 45 angle with the ground 50 ft. from the base of the building, about how tall is the school building? A. 20 ft. B. 23 ft. C. 54 ft. D. 35 ft.

6 20. Solve the following inequality. x - 3 < 7 A. -10 < x < 10 B. -4 < x < 4 C. -10 < x < 4 D. -4 < x < A right triangle is shown below. Given y = 6 and z = 11, what is the approximate value of? A. 61 B. 57 C. 29 D Determine the inverse relation for the following function. f(x) = x 2-4 A. g(x) = (x + 4) B. g(x) = x + 4 C. g(x) = (x - 4) D. g(x) = y A quarter is flipped 11 times. How many different outcomes are possible after 11 flips of the quarter? A. 2,048 B. 1,024 C. 22 D. 4,096

7 24. A juggler has a bag containing three yellow balls, six green balls, four blue balls, and one red ball, all the same size. The juggler pulls a ball from the bag at random. Then, without replacing it, he pulls out a second ball. What is the probability that the juggler first draws a green ball followed by a blue ball? A. 12 / 91 B. 6 / 49 C. 5 / 14 D. 10 / What is the effect on the graph of the equation y = x when it is changed to y = x 2-3? A. The graph is shifted 4 units up. B. The graph is shifted 4 units to the right. C. The graph is shifted 4 units down. D. The graph is shifted 4 units to the left. 26. To aid in her understanding of the math problem, Jessica is graphing the equations y = x 2 and y = x How does adding the number 2 to x 2 change the graph of y = x 2? A. The graph of x 2 is shifted 2 units to the right. B. The graph of x 2 is shifted 2 units upward. C. The graph of x 2 is shifted 2 units downward. D. The graph of x 2 is shifted 2 units to the left. 27. An experiment consists of rolling a fair die one time. What is the probability that the die lands a number less than 5? A. 2 / 3 B. 5 / 6 C. 1 / 2 D. 1 / If the function y = (x + 4) is changed to y = (x + 9) 2 + 2, then how is the graph affected? A. The graph would shift 5 units down. B. The graph would shift 5 units to the left. C. The graph would shift 5 units up. D. The graph would shift 5 units to the right.

8 29. Three years ago, Ted purchased a 1970 Plymouth Hemi Cuda at a classic car auction for $98,000. The car's value has appreciated to $157,000. Assuming a constant annual percentage growth rate, approximately what was the annual rate of appreciation? A. 17% B. 60.2% C. 37.6% D. 46.6% 30. For which data set graphed below is a linear function the best model? W. X. A. Y B. W C. Z D. X Y. Z.