Algebra 1 Honors EOC Review #4 Calculator Portion 1. Given the data set : 9, 16, 35, 7, 1, 3, 11, 4, 6, 0, 8, 415, 30,, 18, 3, Find the following values : a) Mean b) Median c) Lower Quartile d) Upper Quartile e) Interquartile Range f) Mode g) Range h) Outlier in the data set. Remove the outlier from the data set and recalculate letters a g and state which values changed significantly with respect to the original value.. A librarian in a large city collects data about his summer reading program. He collects data for two years, 011 and 01, on how many books are read each week. His ordered data sets are shown, in the table. The librarian writes a summary about his data, as shown.
Fill in each blank with the appropriate word or phrase to complete the librarians s summary based on the data from the table. If you compare the means, it appears that in 011 books were read on average in 01. When the medians for the two years are compared, the data show that in 011 books were read than in 01. 3. During the first years of growth the height of a tree can be modeled with the function h t = t + 1 t + 10 where t is the time in years since being planted and h is the height in inches. Find the average rate of change, in inches per year, from year 1 to year 5. 4. A tennis ball is tossed into the air. The height, h(t), in feet, of the tennis ball is a function of time, t, in seconds, as shown in the table below. Which statement provides a correct interpretation of the average rate of change of this function from t = 1.5 to t = 3?
5. Use the table to answer the question. A scientist measures the water temperature in the Gulf at Gulfport on the fifteenth of each month. Her data is shown in the table. What is the average rate of change between March 15 and June 15? 6. The figure shows a graph of the function of g(x) in the xy-coordinate plane, with the vertex at (1, 9) and the zeros at and 4. The function g is defined by f(x) = 3x +. Which statements are true? Select ALL that apply. [A] f( ) is greater than g( ). [B] f( 1) is less than g( 1). [C] f (0) is greater than g (0). [D] f (1) is less than g (1). [E] f () is greater than g ().
7. A random sample of 00 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C, and D ), and then were asked to pick a favorite. The table shows the results of this taste test. Based on the information given, which of the given statements are true? Select ALL that apply. [A] 40% of the participants were girls [C] 0 10 [D] 10 35 of the boys preferred D of the participants who preferred B were girls [B] 70% of the participants preferred A [E] The proportion of boys who preferred C is equal to the proportion of girls who preferred C 8. A radio station did a survey to determine what kind of music to play by taking a sample of middle school, high school, and college students. They were asked which of three different types of music they prefer on the radio: hip-hop, alternative, or classic rock. The results are summarized in the table below. What percentage of college students prefer classic rock? \
For problems 9 11 use the following : You are testing a theory that says that students who speak a foreign language are also strong mathematics students. You survey the freshman class and the results are shown below, in an incomplete two-way frequency table. Answer the questions, regarding this table. (Percentage answers rounded to nearest percent.) 9. How many students were surveyed? 10. What percentage of the students speak a foreign language and have a math average greater than or equal to 90? 11. What percentage of the students with a math average greater than or equal to 90 do not speak a foreign language? 1. The first five terms of a sequence are 3, 9, 7, 81, and 43. Select all functions that define this sequence for all integers n 1. [A] f n 3n [B] f n 3 n 1 [C] f n = 3 3 n [D] f 1 = 3; f n = 3 f n 1 [E] f 1 = 3; f n = 6 f n 1 13. For the function below, which set produces the sequence : 11, 0, 5? = 8 3 k n n n [A] k ( 1), (0), (1) [B] k (1), (), (3) [C] k ( 3), ( ), ( 1) [D] k ( 11), (0), (5)
14. Vinny collects population data, P(h), about a specific strain of bacteria over time in hours, h, as shown in the graph below. Which equation represents the graph of P(h)? 3 3 [A] P h = h h + 3 h + 4 [B] [C] 46 6 = + 5 5 P h = 3 h + 0. h + 4 P h h [D] P h = 4 h 15. Given the function f n defined by the following : f 1 = f n f n = 5 1 + Which set could represent the range of the function? [A] {, 4, 6, 8, } [C] {, 8, 4, 08, } [B] { 8, 4, 08, 104, } [D] { 10, 50, 50, 150, }
16. As x increases beyond 5, which function will have the largest value? [A] f x = 1.5 x [B] g x = 1.5x 3 [C] h x = 1.5 x + 3 [D] k x = 1.5 x + 1.5x Use the following scenario to answer problems 17 4. An object is launched from the top of a building. The function that models the height, f(t), in feet, of the object after t seconds is given by 17. From what height, in feet, was the object launched. f t = 16 t + 96 t + 180. 18. How long does in take, in seconds for the object to reach it s maximum height. 19. What is the maximum height, in feet, does the object reach? 0. How long does in take, in seconds for the object to land on the ground. 1. State the time interval where the height of the object is decreasing.. State the time interval where the height of the object is increasing. 3. What is the appropriate domain for this situation? 4. What is the appropriate range for this situation? 5. Two sisters have decided to watch all the episodes of a popular TV show on DVD. Eva has already watched 8 episodes and will continue to watch the show at a rate of 3 episodes per day. Zoe, who hasn't yet seen the show, will start watching 4 episodes per day. Once the two sisters get to the point where they have watched the same number of episodes, they plan to finish the series together. How many episodes will each sister have watched at that point?
For problem 6, solve the system of equations. 6. y = x + 43 x 7 y = 48 x + 17 7. Kiera deposited $58,96 in a savings account earning 4.7% interest, compounded annually how much will she have in her savings account after 6 years? For problems 8 31. Match the graph to the correct function. [A] j x = x 6 x + 4 [B] g x = 3 x + 30 x + 7 [C] f x = 4 x 4 x + 41 [D] j x = x 0 x + 53 8. 9.
30. 31. 3. The table contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship? [A] q x = 0.5 0.5 x [B] q x = 0.65 0.5 x [C] q x [D] q x = 0.065 4 x [E] q x = 0.65 0.65 x = 0.5 0.65 x 33. Which of the following equations are true? Select all that apply. 3 5 [A] 104 = 8 [B] 3 36 = [C] 10 3 5 7 = 81 [D] 3 8 = 16 [E] 7 6 3 = 18
Use the graph to answers problems 34 37. 34. What is the y-intercept? 35. What is the vertex? 36. What is the equation of the axis of symmetry? 37. What is the minimum value of this function? 38. Which value of x is a solution to the equation : 13 36 x = 1? 39. What are the solutions to the equation : 3 x 8 x = 10? 40. Thomas solved the quadratic equation shown : 8 x 13 x = 5 x x + 63 by completing the square. One of the steps that Matthew used to solve the equation is shown below what is the values of a, b, and c? Step : a x + b = c
3 x = a a 41. Given the equation b, what is the value of x that satisfies the equation. b 4. The relationship between the number of widgets in a package (x-axis) and the length of the package (y-axis), in inches, is given in the table at the right. The linear correlation coefficient for this relationship is: [A] 1 [B] 1 [C] 0.5 [D] 0 [E] 0.5 43. Which of the following functions below represents a POLYNOMIAL function. Select all that apply. [A] [C] [E] 5 f ( x) = 7 + 4 x 3 4 x x [B] 4 3 h( x) = x + 4 x 5 x 3x [D] 3 k( x) = x + 4 x 5 x 3x [F] g( x) = x 6 x + 7 x x 4 3 5 3 j( x) = x + 1 4 x 6x 1 m( x) = x 6 x + x x 3 5 4 44. Factor the expression completely : 45 0 3 x xy. 45. The expression x x + 4 16 x + 4 a x + y x y can be written in the form where a is a constant. What is the value of a?
46. Which factorization can be used to reveal the zeros of the function f x = 15 x + x + 8? [A] f x = x 15 x + + 8 [B] f x = 5 x + 4 3 x [C] f x = 3 x 5 x + 4 [D] f x = 5 x 4 3 x 47. Given f ( x) = 3 x + 7 x 6 & g( x) = 4 x 5 x +. Find (g f)(x). 4 48. Select all the expressions that are equivalent to 16 x 81 y? [A] 4 x 9y [B] 4 x 9y [C] 16 x 9y 4 [D] 16 x 9 y [E] 4 x + 9y 4 x 9y 49. Which of the following functions have the same y intercept as the function below? Select all that apply. ƒ x = 3 x 8 x + 10 [A] ƒ x = x 3 + 10 [B] x x x ƒ = 3 4 [C] ƒ x = 11 x x + 8 [D] x x ƒ = 3 1 + 7 50. The graph of a quadratic function f(x) intersects the x axis at and 3. What is a possible equation for f (x)? 51. The graph of a quadratic function f(x) intersects the x axis at 5, 1 and 4. What is a possible equation for f (x)?
5. Based on the graph below, which expression is a possible factorization of the function. [A] f x = x 4 x + 3 x + 1 [B] f x = x + 4 x 3 x 1 [C] f x = x + 4 x 3 x + 1 [D] f x = x 4 x 3 x + 1
53. Based on the graph below, which expression is a possible factorization of the function. [A] f x = x x 5 x + [B] f x = x + 5 x [C] f x = x 5 x + [D] f x = x x + 5 x 54. When the function f x = x is multiplied by the value a, where 0 < a < 1, the graph of the new function, g x = ax. [A] opens upward and is wider [C] opens downward and is wider [B] opens upward and is narrower [D] opens downward and is narrower
55. How is the graph of g x = x + 5 3. related to the graph of f x = x. [A] The graph of is reflected across the y-axis and translated RIGHT 5 units and DOWN 3 units. [B] The graph of is reflected across the x-axis and translated RIGHT 5 units and DOWN 3 units. [C] The graph of is reflected across the y-axis and translated LEFT 5 units and DOWN 3 units. [D] The graph of is reflected across the x-axis and translated LEFT 5 units and DOWN 3 units. [E] The graph of is reflected across the y-axis and translated LEFT 5 units and UP 3 units.
56. Given the function f x = x, the graph below is a translation of f(x). Write a function g(x) that represents the graph. [A] g x = f x 3 5 [B] g x = f x + 3 5 [C] g x = f x 5 3 [D] g x = f x + 5 3
57. Match the system of inequalities with the appropriate graph. [1] 6 x + 5 y 30 3 x + 4 y < 1 [] 7 x + 3 y > 1 y 4 [3] 6 x + 5 y 30 3 x + 4 y > 1 [4] 6 x + 5 y 30 3 x + 4 y < 1 [A] [B]
[C] [D] Use the following to answer questions 58 6. Joshua started a savings account several years ago the exponential equation A = 1800 1.03 7 is the current amount of money in the account. 58. According to the equation how much money did Joshua initially start the savings account with? 59. According to the equation What is the annual interest rate of the savings account? 60. According to the equation how many years has Joshua had this savings account? 61. How much money is currently in the savings account? 6. During this time period how much money did the savings account earn Joshua?