1(Multiple Choice Worth 1 points) (06.06 LC) An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below: Enrollment January Acutal 120 Predicted Residual Month February 140 150 80 150 40 10 March 140 110 40 April 150 150 10 May 130 110 40 June 150 20 Analyze the data. Determine whether the equation that produced the predicted values repre sents a good line of best fit. No, the equation is not a good fit because the residuals are all far from zero. No, the equation is not a good fit because the sum of the residuals is a large number. Yes, the equation is a good fit because the residuals are not all far from zero. Yes, the equation is a good fit because the sum of the residuals is a small number. Question 2(Multiple Choice Worth 1 points) (09.05 MC) A firecracker shoots up from a hill 150 feet high, with an initial speed of 110 feet per second. Us ing the formula H(t) = 16t2 + vt + s, approximately how long will it take the firecracker to hit the ground? Eight seconds Nine seconds 10 seconds 11 seconds Question 3(Multiple Choice Worth 1 points) (09.01 MC) For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200 5 x 20 0 x 15 x 0 all real numbers Question 4(Multiple Choice Worth 1 points) (06.05 MC) Out of the 180 students at a summer camp, 72 signed up for canoeing. There were 23 students who signed up for trekking, and 13 of those students also signed up for canoeing. Use a twoway table to organize the information and answer the following question: Approximately what percentage of students signed up for neither canoeing nor trekking? 72% 40% 54% 98% Question 5(Multiple Choice Worth 1 points) (07.01 MC) Choose the correct classification of 5x + 2x2 8 by number of terms and by degree. Third degree polynomial Fourth degree trinomial Second degree trinomial Sixth degree polynomial Question 6(Multiple Choice Worth 1 points) (07.09) Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is c(p) = 0.85p, where p is the original price of the car. He also knows he has to pay 9% sale's tax on the car. The price of the car with tax is f(c) = 1.09c, where c is the sale price of the car. Determine the composite function that can be used to calculate the final price of Jonah's car by solving for f[c(p)]. f[c(p)] = 0.9265cp f[c(p)] = 0.9265p f[c(p)] = 1.94cp f[c(p)] = 1.94p Question 7(Multiple Choice Worth 1 points) (07.03 MC) Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3). 10 x8y30z15 7 x6y11z8 7x8y30z15 10x6y11z8 Question 8(Multiple Choice Worth 1 points) (06.01 MC) The following data set shows the pulse rate of some horses at a farm: 35, 38, 33, 39, 39, 40, 33, 39, 37, 33, 40, 34, 38, 35, 39 Which dot plot best represents the data? dot plot with 3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dots over 40 dot plot with 3 dots over 33, 1 dot over 34, 2 dots over 35, 1 dot over 36, no dot over 37, 2 dots over 38, 4 dots over 39, and 2 dots over 40 dot plot with 3 dots over 33, 1 dot over 34, 2 dots over 35, 1 dot over 36, no dot over 37, 3 dots over 38, 3 dots over 39, and 2 dots over 40 dot plot with 3 dots over 33, 1 dot over 34, 2 dots over 35, 1 dot over 36, no dot over 37, 3 dots over 38, 3 dots over 39, and 3 dots over 40 Question 9(Multiple Choice Worth 1 points) (07.02) The following table shows the length and width of two rectangles: Length Width Rectangle A 2x + 4 x 1 Rectangle B 3x + 1 2x 3 Which expression is the result of the perimeter of rectangle B minus the perimeter of rectangle A? 4x 10 4x 14 16x + 18 16x + 14 Question 10(Multiple Choice Worth 1 points) (07.06 MC) Which statement justifies that 2x2 + x 3 multiplied by x2 3x 2 obeys the closure property of multiplication? The result 2x4 5x3 10x2 + 7x + 6 is a polynomial. The result 2x4 5x3 10x2 + 7x + 6 has a degree of 4. The result 2x4 3x2 + 6 is a trinomial. The result 2x4 3x2 + 6 has a degree of 4. Question 11(Multiple Choice Worth 1 points) (08.01 MC) Identify the GCF of 6x2y2 8xy2 + 10xy3. 6x2y2 2x2y 2xy2 6xy2 Question 12(Multiple Choice Worth 1 points) (08.06 MC) Which shows 532 472 being evaluated using the difference of squares method? 532 472 = 2809 2209 = 600 532 472 = (53 + 47)(53 47) = (100)(6) = 600 532 472 = (53 47)2 = 62 = 36 532 472 = (2809 + 2209)(2809 2209) = 3,010,800 Question 13(Multiple Choice Worth 1 points) (09.02 MC) Solve x2 + 4x 12 = 0. x = 2, x = 6 x = 2, x = 6 x = 3, x = 4 x = 3, x = 4 Question 14(Multiple Choice Worth 1 points) (06.03 MC) A box plot was made to represent the number of matches won by 14 participants in a tennis tournament. The box plot had the box shifted to the right so that the left tail was much longer than the right tail. Based on the box plot, which conclusion is correct? The mean and median of matches won are equal. The mean of matches won is more than the median of matches won. Most of the participants won many matches, but there were some participants who won very few matches compared to the others. Most of the participants won very few matches, but there were some participants who won many matches compared to the others. Question 15(Multiple Choice Worth 1 points) (06.01 MC) The following table shows the number of hours some students of a class listen to music each day: Student L Hours 6.5 1.5 A M 1 1.5 B N 2.5 2 C O 2.5 D E F G H I J K 4 1 0.5 4.5 5 1 1 2 Which histogram best represents the data? histogram plots number of hours spent listening to music daily on x axis and number of stu dents on y axis. Height of the bar in the x interval 0 to 2 is 11, height of the bar in the x interval 2 to 4 is 3 and the height of the bar in the x interval 4 to 6 is 1. histogram plots number of hours spent listening to music daily on x axis and number of stu dents on y axis. Height of the bar in the x interval 0 to 3 is 10, height of the bar in the x interval 3 to 6 is 2 and the height of the bar in the x interval 6 to 9 is 1. histogram plots number of hours spent listening to music daily on x axis and number of stu dents on y axis. Height of the bar in the x interval 0 to 3 is 11, height of the bar in the x interval 3 to 6 is 3 and the height of the bar in the x interval 6 to 9 is 1. histogram plots number of hours spent listening to music daily on x axis and number of stu dents on y axis. Height of the bar in the x interval 0 to 2 is 10, height of the bar in the x interval 2 to 4 is 2 and the height of the bar in the x interval 4 to 6 is 1. Question 16(Multiple Choice Worth 1 points) (09.02 MC) Write x2 8x + 13 = 0 in the form (x a)2 = b, where a and b are integers. (x 4)2 = 3 (x 3)2 = 2 (x 2)2 = 1 (x 1)2 = 4 Question 17(Multiple Choice Worth 1 points) (08.03 MC) Determine the factors of 4x2 + 5x 6. (4x 2)(x + 3) (4x 3)(x + 2) (4x 6)(x + 1) (4x 1)(x + 6) Question 18(Multiple Choice Worth 1 points) (07.07 MC) Choose the correct product of (8x 4)(8x + 4). 64x2 16 64x2 + 16 64x2 64x + 16 64x2 + 64x + 16 Question 19(Multiple Choice Worth 1 points) (09.06 MC) Based on the graph below, what is the solution of the equation f(x) = g(x)? graph of function f of x equals negative x plus 0.25 and graph of function g of x equals x squared plus 3 multiplied by x plus 2 x = 3.5 and x = 0.5 x = 2 and x = 1 x = 3.5 and x = 0.25 x = 2 and x = 0.25 Question 20(Multiple Choice Worth 1 points) (09.04 MC) What are the exact solutions of x2 3x 5 = 0? x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2 Question 21(Multiple Choice Worth 1 points) (08.02 MC) Select the factors of ax 2ay + 3bx 6by. (a + 2b)(x 3y) (a 2b)(x + 3y) (a + 3b)(x 2y) (a 3b)(x + 2y) Question 22(Multiple Choice Worth 1 points) (09.01 MC) A biologist created the following graph to show the relationship between the temperature of wa ter (x), in degrees Celsius, and the number of insect larvae (y) in the water: graph of y equals minus 2 times the square of x plus 20 times x plus 400 What does the peak of the graph represent? The number of larvae is greatest at 450 degrees Celsius. The number of larvae is greatest at 5 degrees Celsius. The least number of larvae in the water is 450. The least number of larvae in the water is 5. Question 23(Multiple Choice Worth 1 points) (07.07 MC) Choose the correct product of (5x 11)2. 25x2 110x + 121 25x2 121 25x2 + 121 25x2 + 110x + 121 Question 24 (FillInTheBlank Worth 1 points) (09.01 MC) The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 1.1t2 2.5t + 1.5 The average rate of change of f(t) from t = 3 to t = 5 is ______ thousand owners per year. Answer for Blank 1: Question 25(Multiple Choice Worth 1 points) (06.06 MC) The table below shows the temperature of ocean water in degrees Celsius at different depths in meters: Depth (meters) 0 500 Temperature (degrees Celsius) 2 1,000 1,500 2,000 2,500 3,000 3,500 4,000 23.5 12 6 4.2 4 3.8 3 2.8 Which scatter plot best represents the data in the table? plots ordered pairs 2, 4000 and 3, 3500 and 3.5, 3000 and 3.8, 2500 and 3.9, 2000 and 4, 1500 and 6, 1000 and 12, 500 and 23, 100 plots ordered pairs 0, 2.5 and 500, 11.5 and 1000, 5.5 and 1500, 4 and 2000, 3.8 and 2500, 3 and 3000, 2.2 and 3500, 2.1 and 4000, 2 plots ordered pairs 0, 23.5 and 1800, 12 and 1900, 8 and 2000, 5 and 2200, 4 and 2500, 3.8 and 3000, 3.2 and 3500, 3 and 4000, 2 plots ordered pairs 0, 23.5 and 500, 12 and 1000, 6 and 1500, 4.2 and 2000, 4 and 2500, 3.8 and 3000, 3 and 3500, 2.8 and 4000, 2 Question 26(Multiple Choice Worth 1 points) (06.07 MC) The function below models the correlation between the number of hours a plant is kept in sun light (x) and the height (y), in mm, to which it grows: y = 4 + 2x What does the yintercept of this function represent? The original height of the plant was 4 mm. The original height of the plant was 2 mm. The height of the plant increases by 2 mm for every hour of sunlight it receives. The height of the plant increases by 4 mm for every hour of sunlight it receives. Question 27(Multiple Choice Worth 1 points) (06.06 MC) A company pays its employees a fixed base salary and a commission based on sales. The scat ter plot below shows the total earning of an employee of the company (y) based on sales (x): Plot the ordered pairs 0, 10 and 100, 20 and 200, 30 and 300, 40 and 400, 50 and 500, 60 Which function best represents the data in the scatter plot? y = 0.1x + 10 y = 0.1x 10 y = 0.1x + 1 y = 0.2x 1 Question 28(Multiple Choice Worth 1 points) (07.09) The length of a rectangle is represented by the function L(x) = 5x. The width of that same rec tangle is represented by the function W(x) = 2x2 4x + 13. Which of the following shows the area of the rectangle in terms of x? (L W)(x) = 10x3 4x + 13 (L W)(x) = 10x3 20x2 + 65x (L + W)(x) = 2x2 + 1x + 13 (L + W)(x) = 2x2 9x + 13 Question 29(Multiple Choice Worth 1 points) (09.01 MC) The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the follow ing equations best describes g(x)? g(x) = (x + 3)2 g(x) = x2 3 g(x) = x2 + 3 g(x) = (x 3)2 Question 30(Multiple Choice Worth 1 points) (08.01 MC) Factor completely 21x3y4 + 15x2y2 12xy3. 3xy(7x2y3 + 5x 4y) 3xy(7x2y + 5x 4y2) 3xy2(7x2y + 5x 4y) 3xy2(7x2y2 + 5x 4y) Question 31(Multiple Choice Worth 1 points) (07.02 MC) Choose the correct sum of the polynomials (3x3 5x 8) + (5x3 + 7x + 3). 8x3 + 2x + 5 2x3 12x 11 2x3 + 12x 5 8x3 + 2x 5 Question 32(Multiple Choice Worth 1 points) (08.07 MC) What are the zeroes of f(x) = x2 + 5x + 6? x = 2, 3 x = 2, 3 x = 2, 3 x = 2, 3 Question 33(Multiple Choice Worth 1 points) (09.04 MC) What are the approximate solutions of 4x2 + 2x = 17, rounded to the nearest hundredth? x 2.33 and x 1.83 x 1.83 and x 2.33 x 9.31 and x 7.31 No real solutions Question 34(Multiple Choice Worth 1 points) (07.01) Choose the polynomial that is written in standard form. 2x3y2 + 4x4y + 8x7 3x4y2 + 4x4y5 + 10x2 6xy2 + 4x3y8 + 9x2 2x5y3 + 4x2y2 + x2 Question 35(Multiple Choice Worth 1 points) (09.01 MC) A food packet is dropped from a helicopter and is modeled by the function f(x) = 16x2 + 14400. The graph below shows the height f(x), in feet, of the food packet at different times x, in sec onds: graph of function f of x equals 14400 minus 16 multiplied by x squared Use the graph to determine the reasonable domain of f(x) based on the context. 0 x 30 0 x 14400 30 x 30 All real numbers Question 36(Multiple Choice Worth 1 points) (06.07 MC) The graph below plots the values of y for different values of x: Plot the ordered pairs 1, 3 and 2, 4 and 3, 9 and 4, 7 and 5, 2 and 6, 18 Which correlation coefficient best matches the data plotted on the graph? 0.5 0.8 0.9 1.0 Question 37(Multiple Choice Worth 1 points) (06.07 LC) Sarah described the following situation: When more apples grew in the backyard, the pet cat stayed indoors for a longer time. Which of the following best describes the situation? This is an example of correlation but not causation. This is an example of causation but not correlation. This is an example of both correlation and causation. This is an example of neither correlation nor causation. Question 38(Multiple Choice Worth 1 points) (07.03 MC) Choose the correct simplification of the expression (2x7y)2(y5)3. 4x7y10 4x9y10 4x14y16 4x14y17 Question 39(Multiple Choice Worth 1 points) (08.03 MC) Identify the factors of x2 4x 12. (x + 4)(x 3) (x 4)(x + 3) (x 2)(x + 6) (x + 2)(x 6) Question 40(Multiple Choice Worth 1 points) (08.05 MC) Which polynomial is a perfect square trinomial? 49x2 28x + 16 4a2 20a + 25 25b2 20b 16 16x2 24x 9 Question 41(Multiple Choice Worth 1 points) (07.09) If h(x) = x 1 and j(x) = 4x, solve h[j(5)] and select the correct answer below. 21 20 19 16 Question 42 (FillInTheBlank Worth 1 points) (09.01 MC) The following graph describes function 1, and the equation below it describes function 2: Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = x2 + 4x + 1 Function ____ has the larger maximum. (Put 1 or 2 in the blank space) Numerical Answers Expected! Answer for Blank 1: Question 43(Multiple Choice Worth 1 points) (09.05 MC) David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to deter mine the thickness of the frame, x? Square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. 2x2 + 14x 2 = 0 3x2 + 10x 8 = 0 4x2 + 10x 2 = 0 x2 + 7x 8 = 0 Question 44(Multiple Choice Worth 1 points) (08.07 MC) A polynomial function can be written as (x + 2)(x + 3)(x 5). What are the xintercepts of the graph of this function? (2, 0), (3, 0), (5, 0) (2, 0), (3, 0), (5, 0) (2, 0), (3, 0), (5, 0) (2, 0), (3, 0), (5, 0) Question 45(Multiple Choice Worth 1 points) (09.02 MC) The function f(x) = x2 7x + 30 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent? x = 10; the diver hits the water 10 feet away horizontally from the board. x = 3; the diver hits the water 3 feet away horizontally from the board. x = 10; the diver jumps in the pool at 10 feet per second. x = 3; the diver jumps in the pool at 3 feet per second. Question 46(Multiple Choice Worth 1 points) (08.07 MC) Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2 Which of the following functions best represents the graph? f(x) = x3 + x2 4x 4 f(x) = x3 + 4x2 x 4 f(x) = x3 + 3x2 4x 12 f(x) = x3 + 2x2 4x 8 Question 47(Multiple Choice Worth 1 points) (07.06 MC) Choose the correct simplification of the expression (8x 5)(2x2 5x 6). 16x3 50x2 23x 30 16x3 50x2 23x + 30 16x3 30x2 23x + 30 16x3 + 50x2 23x + 30 Question 48(Multiple Choice Worth 1 points) (09.02 MC) Identify the vertex for the graph of y = 2x2 12x + 1. (3, 19) (3, 55) (3, 53) (3, 47) Question 49(Multiple Choice Worth 1 points) (09.01 MC) Derek threw a tennis ball up in the air. The following table represents the height f(t), in meters, of the ball above the ground at time t seconds: Time (t) (in seconds) (in meters) 1 15 2 20 3 15 4 0 Height f(t) Which of the following is represented by the xintercept of f(t)? The ball touches the ground after 4 seconds. The ball was thrown from a height of 0 meters. The ball reaches a maximum height of 20 meters. The ball reaches the maximum height in 2 seconds. Question 50(Multiple Choice Worth 1 points) (09.06 MC) The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely in creasing exponentially? x f(x) g(x) 1 2 2 2 5 4 3 10 8 4 17 16 5 26 32 f(x), because it grows slower than g(x) f(x), because it eventually intersects g(x) g(x), because it grows faster than f(x) g(x), because it will not intersect f(x) Question 51(Multiple Choice Worth 1 points) (08.07 MC) Which of the following is the graph of f(x) = x2 + 3x 4? graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5 graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5 graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4 graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4 Question 52(Multiple Choice Worth 1 points) (08.06 MC) Factor completely 25x2 36. (25x 6)(x + 6) (25x + 6)(x 6) (5x + 6)(5x 6) (5x 6)(5x 6) Question 53(Multiple Choice Worth 1 points) (06.02 MC) The following data shows the temperature of a city, in degrees Celsius, on consecutive days of a month: 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 Which box plot best represents the data? box plot with minimum value 8.3, lower quartile 8.4, median 8.5, upper quartile 8.6, and maxi mum value 8.9 box plot with minimum value 8.2, lower quartile 8.3, median 8.4, upper quartile 8.5, and maxi mum value 8.9 box plot with minimum value 8.3, lower quartile 8.5, median 8.6, upper quartile 8.7, and maxi mum value 8.9 box plot with minimum value 8.2, lower quartile 8.3, median 8.4, upper quartile 8.6, and maxi mum value 8.9 Question 54(Multiple Choice Worth 1 points) (09.02 MC) The function f(t) = 4t2 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t). f(t) = 4(t 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground f(t) = 4(t 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground f(t) = 4(t 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground f(t) = 4(t 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground Question 55(Multiple Choice Worth 1 points) (06.02 MC) Two groups of students were asked how many hours they spent reading each day. The table below shows the numbers for each group: Group A Group B 1 3 2 2 1 3 1 2 3 2 3 2 2 1 2 1 3 2 Based on the table, which of the following is true? The interquartile range for Group A students is 0.5 less than the interquartile range for Group B students. The interquartile range for Group A students is equal to the interquartile range for Group B stu dents. The interquartile range for Group A students is 0.5 more than to the interquartile range for Group B students. The interquartile range for Group A students is 1 more than the interquartile range for Group B students. Question 56(Multiple Choice Worth 1 points) (06.02 MC) Two groups of students were asked how far they lived from their school. The table below shows the distances in miles: Group A (distance in miles) Group B (distance in miles) 1 2 1.5 2.5 3.03 3.23 3.2 1.3 2.8 1.8 1.5 2.4 1.8 3 2.5 1.5 2.2 1.8 Which statement best compares the mean distances for the two groups? It is equal for Group A and Group B. It is greater for Group B than Group A. Its value for Group A is double the value for Group B. Its value for Group B is double the value for Group A. Question 57(Multiple Choice Worth 1 points) (06.06 MC) The scatter plot below shows the number of animal cells Clara examined in a laboratory in dif ferent months: Plot ordered pairs 1, 20 and 2, 60 and 3, 100 and 4, 140 and 5, 180 What is the approximate predicted number of animal cells Clara examined in the 9th month? 280 290 340 380