Turn to Section 4 of your answer sheet to answer the questions in this section.

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1 Math Test Calculator MINUTES, QUESTIONS Turn to Section of your answer sheet to answer the questions in this section. For questions -, solve each problem, choose the best answer from the choices provided, and fill in the corresponding circle on your answer sheet. For questions -, solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question on how to enter your answers in the grid. You may use any available space in your test booklet for scratch work.. The use of a calculator is permitted.. All variables and epressions used represent real numbers unless otherwise indicated.. Figures provided in this test are drawn to scale unless otherwise indicated.. All figures lie in a plane unless otherwise indicated.. Unless otherwise indicated, the domain of a given function f is the set of all real numbers for which f() is a real number. r A = pr C = pr l A = lw w h b A = bh b c a c = a + b s s s Special Right Triangles l V = lwh w h r V = pr h h r V = pr The number of degrees of arc in a circle is. The number of radians of arc in a circle is p. The sum of the measures in degrees of the angles of a triangle is. h r V = pr h h w l V = lwh

2 One poundof grapes costs $. At this rate, how many dollars will c pounds of grapes cost? A) c B) + c C) D) c c Tracy collects, sells, and trades figurines, and she tracks the number of figurines in her collection on the graph below. Number of figurines Time (months) On what interval did the number of figurines decrease the fastest? A) Between and months B) Betweenand months C) Betweenand months D) Betweenandmonths

3 In a random sample of cars of a particular model, have a manufacturing defect. At this rate, how many of, cars of the same model will have a manufacturing defect? A) B) C) D) Length (millimeters) y Dimensions of Iris Petals y =. +. Width (millimeters) The scatterplot above shows data collected on the lengths and widths of Iris setosa petals. A line of best fit for the data is also shown. Based on the line of best fit, if the width of an Iris setosa petal is millimeters, what is the predicted length, in millimeters, of the petal? A). B). C). D). y z Note: Figure not drawn to scale. In the figure above, lines and m are parallel, y =, and z =. What is the value of? A) B) C) D) l m

4 Two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $ each, and tickets to sit on the lawn during the concert cost $ each. Organizers of the concert announced that tickets had been sold and that $, had been raised through ticket sales alone. Which of the following systems of equations could be used to find the number of tickets for bench seats, B, and the number of tickets for lawn seats, L, that were sold for the concert? A) ( B)( L) =, B+ L = B) B+ L =, B+ L = C) B+ L = B+ L =, D) B+ L =, B+ L = In the y-plane, the graph of which of the following equations is a line with a slope of? A) y = B) y = C) y = + D) y = + += + In the equation above, which of the following is a possible value of +? A) B) C) D)

5 Questions - refer to the following information. Volume = pk The glass pictured above can hold a maimum volume of cubic centimeters, which is approimately fluid ounces. k k What is the value of k, in centimeters? A). B). C). D). k Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills? A) B) C) D) Height of water level Height of water level Height of water level Height of water level Time Time Time Time

6 Jenny has a pitcher that contains gallon of water. How many times could Jenny completely fill the glass with gallon of water? ( gallon = fluid ounces) A) B) C) D) Roberto is an insurance agent who sells two types of policies: a $, policy and a $, policy. Last month, his goal was to sell at least insurance policies. Whilehedid not meet his goal, the total value of the policies he sold was over $,,. Which of the following systems of inequalities describes, the possible number of $, policies, and y, the possible number of $, policies, that Roberto sold lastmonth? A) + y <, +, y <,, B) + y >, +, y >,, C) + y <, +, y >,, D) + y >, +, y <,, If a A) B) C) D) =, where a >, what is a in terms of? Which of the following is avalue of for which the epression is undefined? + A) B) C) D)

7 A granite block in the shape of a right rectangular prismhasdimensions centimeters by centimeters bycentimeters. The block has a density of. grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.) A) B), C), D), Number of Adults Contracting Colds Vitamin C Sugar pill Total Cold No cold Total The table shows the results ofaresearch study that investigated the therapeutic value of vitamin Cin preventing colds. A random sampleof adults received either a vitamin Cpill or a sugar pill each day duringa-week period, and the adults reported whether they contracted a cold during that time period. What proportion of adults who received a sugar pill reportedcontractingacold? A) B) C) D) Ages of StudentsEnrolled in a College Class Age Frequency The table above shows the distribution of ages of the students enrolled in a college class. Whichofthe following gives the correct order of the mean, median, and mode of the ages? A) mode < median<mean B) mode < mean<median C) median<mode < mean D) mean<mode < median

8 The figure below shows the relationship between the percent of leaf litter mass remaining after decomposing for years and the mean annual temperature, in degrees Celsius ( C), in forests in Canada. A line of best fit is also shown. Leaf litter mass remaining (%) Mean annual temperature ( C) Aparticular forest incanada, whose data is not included in the figure, had a mean annual temperature of C. Based on the lineofbest fit, which of the following isclosest to the predicted percentofleaf litter mass remainingin this particular forest after decomposing for years? A) % B) % C) % D) % The range of the polynomial function f is the set of realnumbersless than or equal to. If the zeros of f are and, which of the following could be the graphof y = f( )in the y-plane? A) B) C) D) y y y y

9 The average annual energy cost for a certain home is $,. The homeowner plans to spend $, to install a geothermal heating system. The homeowner estimates that the average annual energy cost will thenbe $,. Which of the following inequalities can be solved to find t, the number of years after installation at which the total amount of energy cost savings will eceed the installationcost? A), > (,,) t B), < (,,) t C),, >,t D), >, t, Questions and refer to the following information. Between and, data were collected every three years on the amountofplasticproduced annually in the UnitedStates, in billions of pounds. The graph below shows the data and a line ofbest fit. The equation of the lineofbest fit is y =. +., where is the number of years since and y is the amount ofplastic produced annually, inbillions of pounds. Amount of plastic (billions of pounds) US Production of Plastic Number of years since Which of the following is the best interpretation of the number. in the contet of the problem? A) The amountofplastic, inbillions of pounds, produced in the UnitedStatesduring the year B) The number of years it took the United States to produce billion pounds of plastic C) The average annualplasticproduction, in billions of pounds, in the UnitedStates from to D) The average annual increase, inbillions of pounds, of plastic produced per year in the UnitedStates from to

10 Which of the following isclosest to the percent increasein the billions of pounds of plastic produced in the United States from to? A) % B) % C) % D) % M =,. t ( ) The equation above models the number of members, M, of a gym t years after the gym opens. Of the following, whichequation models the number of members of the gym q quarter years after the gym opens? A) M =,(.) q B) M =,(.) q C) M =,(.) q D) M =,(.) q For the finale of a TV show, viewers could use either social media or a tet message to vote for their favorite of two contestants. The contestant receiving more than % of the vote won. An estimated % of the viewers voted, and % of the votes were caston social media.contestant earned % of the votes cast using social media and % of the votes cast usingatetmessage.based on this information, which of the following is an accurate conclusion? A) Ifall viewers had voted, Contestant would have won. B) Viewers voting by social media were likely to be younger than viewers voting by tetmessage. C) Ifall viewers who voted had votedbysocial media instead of by tet message,contestant would have won. D) Viewers voting by social media were more likely to prefer Contestant than were viewers voting by tetmessage.

11 Population of Greenleaf, Idaho Year Population The tableabove shows the population of Greenleaf, Idaho, for the years and. If the relationship betweenpopulation and year is linear, whichofthe followingfunctions P models the population of Greenleaf t years after? A) Pt () =.t B) Pt () = t C) Pt () = + ( t,) D) Pt () =.( t,) To determine the meannumber of childrenper household in a community, Tabitha surveyed families at a playground. For the families surveyed, the meannumber of childrenper household was.. Which of the following statements must betrue? A) The mean number of children per household in the community is.. B) A determination about the mean number of childrenper household in the communityshould not be made because the sample size is too small. C) The sampling method is flawed and may produceabiased estimate of the mean number of children per household in the community. D) The sampling method isnot flawed and islikely to produce an unbiased estimate of the mean number of children per household in the community.

12 In the y-plane, the point ( pr, ) lies on the line with equation y = + b, where b is a constant. The point with coordinates ( p,r) lies on the line with equation y = + b.if p, what is the value of r p? A) B) C) D) The students in a health class conducted an eperiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light eercise routine. The dot plots below display the results. Beats per minute before eercise Beats per minute after eercise Let s and r be the standard deviation and range, respectively, of the data before eercise, and let s and r be the standard deviation and range, respectively, of the data after eercise. Which of the following is true? A) s= s and r = r B) s< s and r < r C) s> s and r > r D) s s and r = r

13 A photocopy machine is initially loaded with, sheets of paper. The machine starts a large job and copies at a constant rate. After minutes, it has used % of the paper. Which of the following equations models the number of sheets of paper, p, remaining in the machine m minutes after the machine started printing? A) p =, m B) p =, m C) p =,(.) D) p =,(.) m m y y = f() g() The complete graph of the function f and a table of values for the function g are shown above. The maimum value of f is k. What is the value of gk ()? A) B) C) D)

14 Grid in result. Fraction line Write answer in boes. For questions -, solve the problem and enter your answer in the grid, as described below, on the answer sheet.. Although not required, it is suggested that you write your answer in the boes at the top of the columns to help you fill in the circles accurately. You will receive credit only if the circles are filled in correctly.. Mark no more than one circle in any column.. No question has a negative answer.. Some problems may have more than one correct answer. In such cases, grid only one answer.. Mied numbers such as must be gridded as. or. (If is entered into the grid, it will be interpreted as, not.). Decimal answers: If you obtain a decimal answer with more digits than the grid can accommodate, it may be either rounded or truncated, but it must fill the entire grid. Answer: Acceptable ways to grid are: Decimal point.... Answer: Answer: either position is correct NOTE: You may start your answers in any column, space permitting. Columns you don t need to use should be left blank.

15 There are two atoms of hydrogen and one atom of oygen in one molecule of water. How many atoms of hydrogen are there in molecules of water? a = If =in the equation above, what is the value of a? In the y-plane, the equations + y =and + y = c represent the same line for some constant c. What is the value of c? On April,, Paul Revere set off on his midnight ride from Charlestown to Leington. If he had ridden straight to Leington without stopping, he would have traveled miles in minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?

16 y y = f() The graph of the function f, defined by f = ( ) ( ) +, is shown in the y-plane above. If the function g (not shown) is defined by g ( ) = +, what is one possible value of a such that f() a = g()? a R In triangle RST above, point W (not shown) lies on RT. What is the value of cos( RSW) sin( WST)? S T

17 Questions and refer to the following information. Minutes after injection Penicillin concentration (micrograms per milliliter) Penicillin concentration (micrograms per milliliter) Time (minutes) When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient s bloodstream at -minute intervals for the minutes immediately following a one-time penicillin injection.

18 According to the table, how many more micrograms of penicillin are present in milliliters of blood drawn from the patient minutes after the injection than are present in milliliters of blood drawn minutes after the injection?... The penicillin concentration, in micrograms per milliliter, in the patient s bloodstream t minutes after the penicillin injection is modeled by the function P t defined by Pt () = b.ifp approimates the values in the table to within micrograms per milliliter, what is the value of b, rounded to the nearest tenth? STOP If you finish before time is called, you may check your work on this section only. Do not turn to any other section.