Math Test ~ No Calculator 25 MINUTES, 20 QUESTIONS ‘Turn to Section 3 of your answer sheet to answer the questions in this section, IES For questions 1-15 sole each problem, choose the best answer frm the choices provided, andfilin the coresponding cc on your answer sheet. For questions 16-20, Solve the problem and enter your answerinthe rd on the answer sheet, Please refer to 1 the directions before question 16 on how to enter your answers in the grid, You may use any avalable spaceln your test booklet fo scratch work, i 1. These of calculators not permitted, 2. Allvaiables and expressions used represent eal numbers unless otherwise inccated, 3. Figures provided in this test are drawn to scale unless otherwise indicated, 4 Alfigures ina pane unless otherwise ndcated, 5. Unless otherwise indicated, the domain ofa given function f isthe set ofall real numbers x for which f(x) Isa teal number. t \ of 2x, sffNg | J { < le fa a3 . Aem? — Astw Special Right Triangles Cn 2nr panes \ ln | ES A w 8 ‘9 é t Vuh Vemrh Vvajarh vekewh ‘The number of degrees of arc in a circle fs 360. | ‘The numberof radians of arcin a clcleis 2x Thesumof the measresin degrees of teal ofa tangle 10. | | | May OAS 5/6/2017 « Uhotedcapg ese ean ptf ppg 33 P CONTINUE3 In the xy-plane, what i the intercept of the line with equation y= 4x—17 a4 1 i » > 1 O-7 Dd) ~ i Por the function f above, what is the value of FQ) $8)? 1 Ne BI 2 D) ‘May QAS 6/6/2017 + Unuthosed copying cee cay pr of hsp eal pe (x+y) =12 aa3 2 | 1 (x,y) isa solution tothe system of equations above, what isthe value of 7? A) 6 B) -2 | Qo 2 | D) 6 Tn economics, the equilibrium price is defined as the price at which quantity demanded and quantity supplied are equal. Ifthe quantity demanded, D, and ‘quantity supplied, S, in terms of the price in dollars, P, ate given by the equations above, what isthe equilibrium price? A) $0 | B) $60 | ©) $80 D) $120 x4 npi3 Ly If (x= 2)? - 6(x-2) +9 = 0, what is the value of x? A? B)3 os D7 A chef plans to cook a maximum of 100 entrées for & dinner party; each entrée will include cither chicken or fish. The cost of ingredients for each chicken entrée is $7, and the cost of ingredients for each fish ‘entrée is $9. Ifo more than $850 can be spent on ingredients for the entrées end the chef cooks chicken entrées and f fish entrées, which of the following systems best represents the constraints one and f? A) cr f= 16 76+ 9f < 100 B) xfs 100 70+ 9f > 850 © exfs 10 7e+9f< 850 D) cx f= 100 Je+ 9f < 850 Unnitonasdeopyng resus ofan part oft peels, pe : | 35 3 “ Text y=13 and x~y=2, whatis the value of way t a4 B) 26 om D) 165 Byery Saturday, Bob bakes loaves of breed to sellat the farmer's market. Each loaf costs him $1 to make, and he sells the loaves for $3 each. He also pays a vendors fe of $75 every Saturday to set up his booth, What is the least number of loaves of bread Bob needs to sel every Saturday to cover the cost of, the vendor's fee? A) 38 B) 37 os p) 19 May 04s 5/6/2017 [continueB 25 i a ic In the right triangle above, the tangent of ZA is $ What is the sine of 2B ? A) B) ° D) May as 6/8/2017 ‘Untied copying oreusecfanypertofthspoets ese 36 0 way -baye= wet ye In the equation above, w, x and z are each geeater than 1, Which of the following is equivalent toy ? ‘The pressure exerted on an object under water increases by 1 atmosphere every 33 feet below the surface of the water, At sea level, the pressure is 1 atmosphere. Which equation gives the total pressure pin atmospheres, exerted on an underwater object ata depth of f feet below sealevel? Dok B) p=33f © p=33fe1 >») pafea| 3 i ie Which ofthe following equations hasa graph in the 2yplane with no x-intereepts? A) yaxteaee4 B) y=x?-5x-6 © y=3s D) y=2x-5 yaSx+i yore 3x42 ‘What is the y-coordinate of the point of intersection, in the xy-plane, ofthe graphs ofthe equations above? Ai B) 2 9 oF D) 6 + Unathrodconyig arene ofan prtfthiepaetelegat p / i | 37 3 ‘Which of the following expressions is equivalent 1 to a6)" ¢ A) 4)x} B) ai] © Ve D) lér A > Ic Inthe figure above, BC= 5, andthe length of line ‘segment AD is half the length of line segment CD. ‘What is the length of ine segment DE? a2 B) ° D) May OAS 5/6/2017, E>y 3 pA 3] Anew Forquestions 16-20,solvethe problemand — Wittae> 17| s|4|2 2|.|5 enter your answer in the grid,as described inboxes.) T@I@} |4 For each repair job, an elevator technician charges + dollars per hour for each hout worked plus a flat fee of k dollars. Ifthe technician charges $210 for a 2-hour job, which of the following represents the relationship between r and k? A) 210=k+2r B) 20=2k+r ©) 210% 2r-k D) 210=1r-2k A box in the shape of aright rectangular prism has a ‘volume of 60 cubic inches. Ifthe dimensions of the box are 3 inches by 5 inches by h inches, what is the value of h ? 3 B) 4 os D) 6 May OAs 5/6/2017 sutra coping artes ofary prtotMspagels Megs a2 4 ‘A 15-foot wire and a 5-foot wire were exch cut ‘completely into 10-inch pieces. How many more 10-inch pieces resulted feom the 15-foot wire then. from the 5-foot wire? (12 Inches = 1 foot) A) 6 BR 9 On D) 18 Parabola D in the xy-plane has equation ‘Which equation shows the coefficients? A) x=2y*48y411 B) x=2(y+2) +3 2y+ayI ‘The sum of two different mumbers x and y is 70, and the difference when the smaller number is subtracted from the lerger number is 30. What is the value of xy 2 A) 100 B) 210 | © 1,000 D) 2,100 ‘Unauthornd coping ores ofan pat of te age a | 43 0 Height of Ball ) tin 15. £10 a é Bos oF AN 005 LO ‘Time (seconds) A ball was dropped from a height of 1.5 meters and hit the ground several times. The graph above represents the height h, in meters, of the ball t seconds after it was dropped. Of the following, which best approximates the maximum height, in meters, ofthe ball between the second and third time ithit the ground? A) 02 B) 04 ©) 08 Das May OAS 6/6/2017 OE esses sees ge eset ees ecg eegts eee seegetss eggs ee sessed4 B 4 n equation of the cece in ‘the xy-plane that lias center (0,0) and radius 4? ‘Which ofthe following expressions is equivalent 1 to (162%/7)", where x20 and 20? 2 A) 4x3’ Ke Tote D) Pry se B) 4x2y ©) wy 2 D) xy? ‘May OAS 6/6/2017 * unalog scateyrat path 4 EnAt the beginning of a laboratory experiment, Miguel had 10 milters of solution in a flask, The first step of the experiment consisted of Miguel pouring + mililiters of the solution into a beaker and 1 milliliters of the solution into a different beaker, ‘There remained at east 4 milliliters of the solution in the flask after the first step. Which of the following inequalities can be used to correctly represent this situation? A) -x-y4 B) 10-x+y24 ©) Anx-pas D) A-xty2s “Unathaied copyngor ese ofany puto th page eas, 45 4 ‘To determine if cooking with olive oil educes the risk of heartburn for men, researchers interviewed a random sample of 5,500 men who had no history of heartburn, Study participants were identified as either regular or occasional olive oil users. Five years Tater, researchers interviewed the men again. ‘They found that the proportion of men who experienced frequent heartburn was significantly lower for men identified as regular olive oil users. Which of the following is the most appropriate conclusion of the study? A) Olive oil use causes reduction in the risk of heartburn for men and women, B) Olive oll use causes a reduction in the risk of heartburn for men but not necessarily for women, ©) There is an association between olive oil use and the risk of heartburn for men and women, butit is not necessarily a cause-and-effect relationship D) There isan association between olive oil use and the risk of heartburn for men, butitis not necessarily a cause-and-effect relationship, and the association may not exist for women. ‘May QAS 6/6/2017 Er Nees4 8 4i | Questions 15 and 16 refer to the following information, (22), and x> 1, whats the value of a 2 h=3e ‘A wildlife biologist uses the formula above to estimate the height f, in centimeters, of an elephant from its foot to its shoulder, based on the circumference ¢ in centimeters, of the elephant’ footprint. Ifthe wildlife biologist finds a circular elephant footprint that has a diameter of 30 centimeters (em) while on a zoological study, which ofthe following is i Closest to the biologists estimate of the elephant’s i height? A) 90.0, B) 42am i ©) 188-4em D) 282.6 x-ys5 ‘Which value is a y-coordinate of a solution to the system of equations above? A) 8 i 2) 3 j 16 o-2 | “The circumference c ofa mother elephant’ cizcular D) 6 footprint is 4 times the circumference of a baby elephant’s circular footprint. What isthe ratio of the eight of the mother to the height of the baby? A) Ltod B) 1to3 ©) Ato D) 403 May QAS 6/8/2017 i Pers gua nea aioe oa 46 P cONTINUE’4 | Questions 19 and 20 refer tothe fallo information, d= 2,565 - soot ‘An airplane flies directly from a city in Pennsylvania to-a city in Ecuador. The equation above estimates the distance d, in miles, from the city in Ecuador of the aigplane ¢ hours after taking off from the city in Pennsylvania, Which ofthe following is the best interpretation of the number 2,565 in this context? ‘A) The speed, in miles per hour, ofthe airplane B) The distance, in miles, the airplane travels in one hour ©) The distance, in miles, the airplane travels between the two cities 1D) The time, in minutes, it takes the airplane to reach the city in Beusdor ‘According to the equation, approximately how many hhours will it take the airplane to travel between the Unsure copying eau fay prt pags a7 4 Surveys Sent to and Returned from 17 Neighborhoods retarned 3 ‘Number of surveys © "200 400600800 1,000 [Number of surveys ent ‘The scatterplot above shows the number of surveys sent to and returned from people in 17 different neighborhoods, A line of best ft for the data is also shown, For the neighborhood that had surveys sent te 800 people, which ofthe following is closest tothe positive difference between the actual number of suiveys returned and the number predicted by the line of best fit shown? A) 150 B) 170 ©) 200 D) 250 May QAS 6/6/2017 P CONTINUE| | & 4 ‘Questions 22 and 23 refer to the following information. Projected Annual Revenue from Sales of Product P (millions of dollars) fle) = ale 250)?+ k Annual Production (thousands of units) Ne Factory W| Factory Z y=fe) ? 4 38 Product? | 21 32 gS 10 a ProductQ | 14 24 a A 5 a npdaex 0 100 200 300 400 500 Price per unit (dollars) ‘A company makes and sells only two products, P and Q, and makes all products at factories W and Z. The table above shows the number of ‘units of each product made at each factory during year. The function f above represents the projected annual revenue from sales of product P asa function ofthe price per unit, where a and kare constants, ‘Which of the following is closest to the percent ofthe total number of units of products P and Q combined that are made at factory Z annually? Based on the graph of f which of the following isa factor of f(x)? ena 5a) 38% B) x-240 | cee © x-250 © om D) x-500 i pom i i May OAS 6/6/2017‘4 & 4 For 5 consecutive even integers, the sum ofthe frst [sae aea Eee Naraber aE pleats and third integer is 20 less than 3 times the fourth [| Meeatment Fareed Thiel | Tout integer. What is the fit integer? i = o cra fee coon. Aan | B 140 60 |__200 BM ‘The table above shows the resulls ofan experiment ©) 16 involving the effect of two treatments, A and B,on D) 26 plants, Based on the results, what fraction of the plants that thrived received treatment A ? 2 Ne » i 2 L-- 2 A polling agency wanted to test whether a ballot : measure would pass with greater than 50% yes votes. | 2 ‘The agency sampled 1,000 registered voters selected Ds at random, and 50.6% of the voters favored the ballot ‘measure. The margin of error associated with this poll was £3%, Based on the poll's result, which of the following statements must be true? A) The percentage of voters who will vote yes for | the ballot measure is 50.6%, | B) The ballot measure will pass with more yes votes than no votes, but the percentage of votes it will receive cannot be predicted. ©) Theballot measure will pass with atleast 53.68 of the vote. D) The pol’s results do not provide sufficient evidence to conclude thatthe ballot measure will pass ‘May QAS 5/6/2017 Uitte co ermstf anatase 49 | CONTINUE4 A sample of seawater is 3.5% salt by mass and ‘contains 1,000 grams of salt. Which ofthe following {s closest to the mass, in grams, ofthe sample of seawater? A) 28,600 B) 27,600 © 965 D) 35 ‘May OAs 5/6/2017 * Unnthatead copyngertausetanygarto his page saga | 50 x | se) yafi) [-1 | 2 e vL2 ¥ 1 Byes FI et "The graph ofthe function fis shown in the xy-plane above, and selected values for the function g are shown in the table, For which ofthe following values of xis g(x) >f(@)? Ayo Bi Q2 Dp) 31 A= peteae ‘An archeologist estimates that, asa result of erosion, the height ofthe Great Pyramid of Giza has been decreasing ata constant rate since it was built, The function above is used by the archeologist to model the height h(t), in feet, of the pyramid f years after it was built, According othe function, which of the following statements is rue? A) Bvery 1,750 years the height ofthe pyramid decreases by 10 feet. B) Every 175 years the height ofthe pyramid decreases by 0.1 foot ©), very 100 years the height of the pyramid decreases by 1.75 feet. D) Every year the height of the pyramid decreases by 175 fet. authored onyng ote ofany poof page Meath 51 BD A biologist grows a culture of bacteria as part of an experiment. At the start ofthe experiment, there are 75 bacteria inthe culture. The biologist observes that the population of bacteria doubles every 18 minutes. ‘Which ofthe following equations best models the ‘number, n, ofbacteria f hours ater the start of the experiment? An =75(a)i¢ =n(i+4) so ©) n=7s(2) 3 8) Dp) nerei+221) ‘May OAS 6/6/2017 > fg cc14 4] a eee é Answer: 25 For questions 31-38,solvethe problemand Saar? |7| 1142. a|.|5 enter your answer in the grid,as described inboxes.) VIO] |< fraction | {DIC below,on the answer sheet. AIQOIO} "™ — [Cj|O|@|Q)« decimar Ooo (jaja 1, Although not required itis suggested that aoea aJO|a\o} you write your answer inte boxes atthe top Qe} gjeae ofthecolumnstohelp you filin theres Gridin| |DI@I@IQ eelexe) accurately. You will receive credit only ifthe lt} @I@I@|@ al@ala| circles are filed in correctly. AOG|O) Ae/d)e| 2. Mark no more than one ci in any column, totale) Klaloral 3, No question has a negative answer. eo) DaIaIa| 4, Some problems may have more than one aeoo ala\ele) correct answer Ih such cases gid only one OOo) OlOolo) 5. Mixed numbers suchas 3. must be gridded Acceptable ways to grid 3 are: as 3.5 or 7/2.(If |314|/12lis entered into the al /l3| lelele| elel7| jt willbe interpreted as 32,not 3 De} Do) 2) gr, it will be terpreted as J,not 35) adole} leldidic! jel lo 6. Decimal answers: If you obtain a decimal OlOlO) Oo! OOO} answer vith more digits than the grid can dada ldolala! laaao accommodate itinay be ether rounded or treated buts teenth ees Bas3 Sass AI@B® |O@@® joaee OPOIO| |\O/G\o} |G|oae) GOSS} \ojeele elec AQ} jola\ea) lao) QIRNZIST TRUAMALS) URIS Answer; 201 ~ either position is correct NOTE: You 2j\o\1 2)o\|1 may startyour answers nan AOS \Bidlo Somat spt ermiina. lO! | 1@O|O) Cotmneyou DODO] |O}O/@|O| dontncedio Dele} lelelala| useshourdoe IAIaAaal Ialalalal _ leftblank. May 0s 6/6/2017 ee aecae 52 EOExfeet "The solid lines inthe figure above represent the route of a football player, and the dashed line represents the distance from his starting point to the point at which the player was stopped. What isthe value of x? Last year, Gary's tomato plants produced ‘24 kilograms of tomatoes. This year, Gary increased the number of tomato plants in his garden by 25%. If his plants produce tomatoes this year atthe same rate per plant os las year, how many kilograms of tomatoes can Gary expect the plants fo produce this year? LUnaaod coplngerteto aan putes gel aga 53 4 Median Ages of Populations of Selected Countries, 2012 Country [etiam see at poplin Bravil 296 [China 359 |Germany 453 india 265 Indonesia 285 Nigeria 179 Philippines 23.1 Russia 388 [United States 32.1 Whats the range, in years, ofthe median ages ofthe populations forthe countries in the table above? ‘May Qas 6/6/2017 a»4 Sx=a 2 xays5a In the system of equations above, a is a constant such that 0 < a <5. 1f(y) isa solution othe «system of equations, what is one possible value of y? P4174 66 +6 Ifthe expression above is equivalent to an expression ofthe form x+ a, where x # ~6, what will be the value ofa? May OAS 5/6/2017 “Unauthafaad copying x euseof any pat of is peg es | Aline is shown in the ay-plane above. A second line (not shown) is parallel to the line shown and passes ‘through the points (1, 1) and (3, ¢), where c is a constant. What is the value of ¢ ?44 4 | SceeaeeeeeeeeaeeeeaaT fa Questions 37 and 38 referto the following For what fraction ofthe 12 speeds does the model information. overestimate the average fuel economy? 31 30. 29. 28 27. 26 25 2 23 2B CH |The quadratic model predicts the average fuel 0 10 2 30 a> so 60 70 80 economy to be 26 mile pr gallon for how many Speed (anes per hour) Gifferent speeds? ‘niles per gallon) a Average fuel economy. ‘The scatterplot above shows the average fuel economy for ‘certain lass of car driven at 12 different speeds. The graph of a quadratic mode! forthe data i also shown. STOP If you finish before time is called, you may check your work on this section only. Do not turn to any other section. May OAS 5/6/2017 Unnsthored opying erewectany pt oftspapes il, 55Question-and-Answer Service Essay Eas ‘The essay gives you an opportunity to show how effectively you can read and ‘comprehend a passage and write an essay analyzing the passage. In your essay, you should demonstate that you have read the passage carefully, present a clear and logicalanalysis, and use language precisely. Your essay must be written on the lines provided in your answer booklet; except for the Planning Page of the answer booklet, you will receive no other paper on which to write. You will have enough space if you write on every line, avold wide margins, and keep your handwriting to a reasonable size. Remember that people who are not familiar with your handwriting will ead what you write. “Try towrite or print so that what you are writing is legible to those readers. { Ts 1, Donot write your essay inthis booklet, Only what you wre ‘on the lined pages of your answer booklet will be evaluated. 2, Anofttopicessay willnot be evaluated. minutes to read the passage and write an essay in response to the thls booklet, You have: prompt provided in May OAS 5/6/2017 Unsuthoriaed cong orem etary prtftispee est 56Question-and-Answer Service As you read the passage below, consider how Richard Schiffman uses + evidence, such as facts or examples, to support claims. + reasoning to develop ideas and to connect claims nd evidence. + Stylistic or persuasive elements, such as word choice or appeals to emotion, toadd power to the ideas expressed, Adapted from Richard Schiffman, “Why We Should Work Less.” ©2012 by The ‘Washington Post Company. Originally published January 28, 2012. Recently a fiend confided over dinner that her job was “killing” her. T was surprised. i She isa director of a midsize nonprofit that is doing citizen diplomecy workin the ‘Midale Bast, end she has often remarked on how gratifying itis to be involved in 4 program that brings historical enemies face to Face to share their stories. 2 But 2011 was a tough year for fundraisers, and my friend has been doing double duty as her understaffed organization struggles to make up the shortfall. Like many nowadays, she takes her work home with her, which has taken a tollon her personal life, health and steep. She is thinking of leaving the nonprofit but is afraid to do so. before she finds another job. 3. Another friend, who is employed by a large insurance company, i routinely forced to work late and at home on weekends—often without pay—on the projects she didn’t have time to finish atthe office. With the threat of layoffs ever-present, she dares not compl 4, Americans already work hundreds of hours a year moze than their counterparts in other developed countries, including workaholic Japan. They also have fewer days off than Buropeans, who typically take four to six weeks of paid vacation a year, 5 Companies argue that grueling work schedules are necessary to boost productivity. But consider that, despite the recession, the productivity of U.S. workers has increased more than fourfold since the 1950s. Meanvshile, the buying power of wages has remained stagnant and in recent years has even begun to decline. Someone is getting sich off the exponential rise in productivity, but itis not the American | ‘worker. «Inthe past, uniors struggled not only to raise pay but also to shorten the hours that their members had to work. The trend toward shorter hours continued unabated from the Civil War through the end of the Great Depression and the enactment, in 1938, ofthe Fair Labor Standard Act’s 40-hour-week provision. But during World ‘War II work hours increased shatply, and it hes not been a significant public issue since, ‘May OAs 6/6/2017 [Onnuhosed copying or reuse cary petehs poses 57 PRS eee ee REE EEE ECEQuestion and-Anewer Service " ‘May OAS 5/6/2017 LUnuthradcopingernvrectany prot ts pagetiens 5B Given the recent troubles in the U.S. economy, this may seem an odd moment to reconsider the value of working less. But this crisis is not due to poor productivity; US workers’ productivity is at an all-time high. Neither is ita crisis in comporate profitability, which continues to soar despite tough economictimes for ordinary ‘Americans tis arguably a crisis in corporate greed, one created by financial entities pushing for ever higher growth rates and levels of profitability regardless ofthe cost fo the long, term health of the economy or for those whose hard work made that economy flourish over the past century. “Americans know that we can no longer afford a corporate culture on steroids that generates unsustainable profits by systematically cannibelizing our nation and the people who make it work. Soa good place to start applying the brakes on this Fanaa train would be making sure that we don't have tol ourselves at work just tomakea living, “Arwidescale reduction in work hours would spread out the ational workload and help to make more jobs available for the unemployed. Histoccally, shorter workivecks have been as large a creator of new jobs as market growth, sociology professor Julict Schor argued last year. ‘While shorter hours would mean less income for many, nearly half of Americans surveyed in 2004 bythe Center for a New American Dream sid thet they would ‘be willing to accept a smaller paycheck in retuen for more time with their families and leisure. This would help explain the popularity of four-day workweeks; a pilot program in Utah found 82 percent of tate workers surveyed sid that they liked the change and wanted to stick with it. “The benefits of shortening the workweek would be incalculable for Americans’ health and well being. And it would even be good forthe planet. A 2006 study by the Center for Reonomie and Policy Research estimated that, ifthe United States were to ‘emulate the shorter workweeks of Western Fuirope, energy consumption would decline about 20 percent and our country could significantly diminish its carbon footprint. Milions of Americans could live with ies tress and more happiness and fulfillment. ‘With s0 much to gain, we need to cut workhours while there is still ime. \Wite an essay in which you explain how Richard Schiffman builds an argument to persuade his audlence that Americans need to work fewer hours. In your essay arialyze how Schiffman uses one or more ofthe features listed inthe box above (or features of yaur ovin choice) to strengthen the logic and perstasiveness of his argument. Be sure that your analysis focuses on the most relevant features of the passage. ‘Your essay should not explain whether you agree with Schiffman’s claims but rather explain how Schiffman builds an argument to persuade his audience,CML NUM NUML Vem NIML NNML SAML vem NKML NRML SIM. VME ron eotb -65tT78 Mees 01095 OUTTAQuestion-and-Anower Service Student Guide Answer Key — Determine Raw Scores ! 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