822 Part I Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each statement or

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1 Julia Gonzales Mock Regents 822 Part I Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each statement or question, choose the word or expression that, of those given, best completes the statement or answers the question. Record your answers on your separate answer sheet. 1.Which of these could be a quadratic equation for the roots -3 and 7? (1) x² -4x + 21 (2) x²-4x-21 (3)x²+10x + 21 (4) x² -10x 21 2.The number of feral cats in a park increases by 15% each year. If there were originally 5 cats, how many cats will there be after 7 years [rounded to the nearest whole number]? (1) 13 (2) 110 (3) 5,817 (4)1,171,875 3.If f(x) =x², and g(x) = ½f(x+3) -2, how does g(x) differ? (1) g(x) is narrower, concaved down, and moved three units right, two units down (2)g(x) is wider and moved two units up and three to the left (3)f(x) is wider, moved three to the left and two down (4) g(x) is wider and moved three units left and and two down 4.A line has the points (-3,2) and (1,10) on it, what is the equation of this line? (1) y= -2x-4 y= 2/5x+8 (3) y = 2x+ 8 (4) y = 2/5x A stackable storage container costs $13 for the frame, and $2 for each shelf container. Which equation could be used to find the cost, C(x), of the container with x shelves? (1) C(x) = 13x +2 (2) C(x) = 15x (3) C(x) =2x +13 (4) C(x) = 2x 6.An arrow gets shot in the air with a path that can be modeled by the function h(t) = -2t² + 5t +18. If h(t) equals the height and t the time in seconds, after how many seconds will it reach its maximum height? (1)2.5 seconds (2)-2.5 seconds (3)1.25 seconds (4) , The height of a rectangle is equal to x+3, while the length of its base is equal to 2x + 2. Which expression could be used to represent the rectangle's area? (1) 2x² + 8x+ 6 (2)10x +6 (3) 2x² +5x + 6 (4)3x+5 8.A class recorded the numbers of hours of sleep they each got over a two day period. In hours, they collected the following set of numbers: 18, 9, 15, 16, 19, 0, 6, 10. Which of these statements is false? (1)median > mean (2)interquartile range<median (3)first quartile<mean (4) interquartile range>mean 9.Every month, three people are given capital punishment. If there were originally 10 people killed by the state, what equation can be used to find the number of people killed after n years? (1) An =3n +7 (2)An = 10(3)^n-1 (3) An = 3n +13 (4)An = 10n 4 10.The equation for the volume of a cylinder is A=πr²h. What is the value of r in terms of π, A, and h? (1) πh/a = r (2)A/πh = r (3)A/rπh = r (4) A/πh = r 11. If two equations, f(x) = 3x + 7 and g(x) = x² + 4x + 1, are graphed on the same axes, what is true about the graph? (1) The graph has one solution, (-3,2). (2) The graph has one solution, (-3,-2). (3)The graph has two solutions, (-3, -2) and (2, 13). (4)The graph has two solutions (-3,0)

2 and (2,0). 12.The number of spiders in a house can be represented by the function p(t)=25(1.7)^t, where t is equal to the time in years. After how many whole years will there be 500 spiders? (1) 5 years (2) 6 years (3)12 years (4)11 years 13.If a function is represented by the equation f(x) = x² + 6x -1, what is the average rate of change over the interval -1 < x < 1? (1) 12 (2) 6 (3) 1/6 (4) Olaf writes three expressions: 4 + 3, 12 / 3, and 4-6. Which of these expressions would result in a rational number? (1) I only (2) I, II, and III (3) III only (4) II and III. 15.The recursive formula for an equation where f(1) = 1 is f(n) =3f(n-1); what is the third term in this sequence? (1) 9 (2) 3 (3) 6 (4) 2 16.A sequence of numbers begins with the number 6, followed by 18, 54, and 162. Which equation could be used to find the seventh term in this sequence? (1) A7 = 6(3)^7 (2) A7 = 6(3) ^6 (3) A7 =21+3 (4) The path of a projectile object is determined by the function h(t)=-4t² +2t+24, where t is equal to the time in seconds, and h(t) is equal to the object's height in feet. If the object reaches a height of 18 feet, how many seconds did it take for the object to reach that height? (1)-1seconds (2)1.5 seconds (3)-1 or 1.5 seconds (4)-1236 seconds 18. A function contains the points (1,1), (2,4), (5,10), and (7, 20). Which of the following points could not be another point of the function? (1)(3,7) (2) (6,15) (3) (4, 10) (4) (5,13) 19.The NSA collects data on the number of times that a person visits a website versus how many times they use terroristic keywords in a twenty four hour period on the following chart. What is the most likely correlation coefficent for this data set? (1).78 (2)78 (3).07 (4) The binomial 2x-1 is subtracted from 3x²+5x-9. Which of the following is the result of this? (1)3x²+3x-10 (2)x²+4x-9 (3)-3x²-3x+8 (4)3x²+3x-8 21.Which equation has the same solution as -4x²+8x+8? (1)(x-2)²-17 = 0 (2)-4((x-2)² -17) = 0 (3)(x+4)²-8 (4)-4((x-2)²-9) = 0 22.Over the course of the year, Maria received the following scores on her tests: 89, 90, 46, 100, 99, 98, 94, 96, 86. What was the standard deviation for the her test scores this year[rounded to the nearest tenth]? (1)88.7 (2)16.7 (3).2 (4).3 23.The longer leg of a right triangle is equal to three less than six times the shorter leg. Which equation could be used to find the length of the shorter leg if the hypotenuse's length is equal to 16? (1)x(6x-3)= 16 (2)x²+(6x-3)² = 16 (3)x²+(6x-3)² = 256 (4)x² + (3x-6)² = Over what interval is the graph of the function f(x)= x-2 +3 increasing? (1)x>2 (2) x>0 (3) x>3 (4)x>-2 Part II: Answer all 8 questions in this section. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should

3 be written in pen, except for graphs and drawings, which should be done in pencil. 25.The number of bears in a country decreases by 13 percent each year. If there were originally 30,000 bears, how many bears will there be after 9 years[rounded to the nearest whole number]? 26.Subtract 6x²-4x+5 from 3x²+7x+8. Express the result as a trinomial. 27.Find the roots of 5x²+12x One razor company charges $3.50 for a razor and $.15 for each replacement blade, while another charges $1.05 for a razor and $.50 for each additional blade. Algebraically determine how many blades are necessary for the price of both to be the same. 29.Find the values of x if 4x-3 is equal to x²-2x Find the lowest possible value for which x²+6x+9 is greater than Blanche collects data on how many times she greets people on the street versus how many hours of sleep she gets on the following graph. a)calculate the line of best fit for this data. b)if she greets 10 people, how many hours of sleep can she be predicted to get? 32.Graph the following function on the below graph. f(x) ={x²-3x+2, -4 x<1 x-3 1 x<5} Part III Answer all 4 questions in this part. Each correct answer will recive 4 credits. Clearly indicate the necessary steps, including appropriate formulas, substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. 33a.The path of a cannonball can be determined by the function h(t)=-10x²-32x+4, where h(t) is equivalent to its height, and t is equivalent to the time in seconds it takes for it to get there. After how many seconds will the ball reach its vertex?

4 b.is this turning point a maximum or minimum for the ball's parabola? Explain. 34.A Queen tribute band is selling tickets to an upcoming concert. Tickets bought in advance cost a different amount from those bought at the door. Mr. Petitto bought two tickets in advance and one at the door for $20.70, while Mr. Wieckhorst bought one ticket in advance and five at the door for $ a) Write a system of equations to model this situation. b)find the cost for a ticket bought at the door and the cost of a ticket bought in advance. 35.A blanket measuring 6 feet by 9 feet is having x amount added to its height and width as shown below. a)if the area of the new rectangle is equal to 130 ft.², write an equation to determine the length of x. b)find the value of x in this equation. 36.a) Graph the following inequalities on the grid below: y 3x-2, y > x² -2x +1 b) State one point that in the solution set for this graph. Part IV Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. The answer should be written in pen.

5 37a)Julia gathers data on the number of times a day she eats something for eight days; this data can be listed as 4, 15, 3, 7, 10, 18, 16, and 5. a) Construct a box plot based on the above data. b)find the standard deviation for this data set [rounded to the nearest hundredth]. c)one of Julia's classmates also collects data on the number of times she eats, creating the following list; 10, 1, 20, 6, 3, 5, 18, and 11. What is this the standard deviation of this set [rounded to the nearest hundredth]? d)what does the difference between the two data set's standard deviation suggest?