WIXLIB

44Math Test – Calculator4 5 M I NU T E S, 3 1 Q UE S TI O NSTurn to Section 4 of your answer sheet to answer the questions in this section.For questions 1-27,/ 05 solve each problem, choose the best answer from the choicesprovided, and fill in the corresponding circle on your answer sheet. For questions 28-31*solve the problem and enter your answer in the grid on the answer sheet. Njc qc pcdcpto the directions before question 28 on how to enter your answers in the grid. You mayuse any available space in your test booklet for scratch work.1. The use of a calculator is permitted.2. All variables and expressions used represent real numbers unless otherwise indicated.3. Figures provided in this test are drawn to scale unless otherwise indicated.4. All figures lie in a plane unless otherwise indicated.5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x forwhich f(x) is a real number.ℓrwA pr 2C 2prrwV ℓwhac 2 a2 b 2rh2xcbb1A bh2A ℓwhℓh4V pr 33xs 45 s 230 45 sx 3Special Right TriangleshhrV pr 2h60 1V pr 2h3ℓV 1 ℓwh3The number of degrees of arc in a circle is 360.The number of radians of arc in a circle is 2p.The sum of the measures in degrees of the angles of a triangle is 180.Unauthorized copying or reuse of any part of this page is illegal.40wCO NTI N U E

44A) C(x ) 5.25xB) C(x ) 5x 0.25C) C(x ) 5 0.25xD) C(x ) 5 25x2A grocery store sells a brand of juice in individualbottles and in packs of 6 bottles. On a certain day,the store sold a total of 281 bottles of the brand ofjuice, of which 29 were sold as individual bottles.Which equation shows the number of packs ofbottles, p, sold that day?A) p 281 296B) p 281 296C) p 281 296D) p 281 296Unauthorized copying or reuse of any part of this page is illegal.413Monthly Rainfall in Chestnut City6Rainfall (inches)Tyra subscribes to an online gaming service thatcharges a monthly fee of 5.00 and 0.25 per hour fortime spent playing premium games. Which of thefollowing functions gives Tyra’s cost, in dollars, for amonth in which she spends x hours playingpremium games?.1543210Mar Apr May Jun Jul Aug Sep OctMonthThe line graph above shows the monthly rainfallfrom March to October last year in Chestnut City.According to the graph, what was the greatest change(in absolute value) in the monthly rainfall betweentwo consecutive months?A) 1.5 inchesB) 2.0 inchesC) 2.5 inchesD) 3.5 inchesCO NTI N U E

44A rectangle has perimeter P, length and width w.Which of the following represents in termsof P and w ?A) P wB)2P w 2C)P 2w 2D) 2P 2w5Which ordered pair (x, y ) satisfies the system ofequations shown below?2x y 6x 2y 2A) ( 6, 2)B) ( 2, 2)C) (2, 2)D) (4, 2)Unauthorized copying or reuse of any part of this page is illegal.4426A soda company is filling bottles of soda from a tankthat contains 500 gallons of soda. At most, howmany 20-ounce bottles can be filled from the tank?(1 gallon 128 ounces)A)25B)78C) 2,560D) 3,2007A car traveled at an average speed of 80 miles perhour for 3 hours and consumed fuel at a rate of 34miles per gallon. Approximately how many gallonsof fuel did the car use for the entire 3-hour trip?A) 2B) 3C) 6D) 7CO NTI N U E

44What is the slope of the line in the xy-plane that 1 5 passes through the points , 1 and , 4 ? 2 2 A) 12B) 3C)1D)329Dimensions of EnvelopesHeight (inches)14121086420012345Width (inches)67The scatterplot above shows the widths and theheights of 12 types of rectangular envelopes. What isthe width, in inches, of the envelope represented bythe data point that is farthest from the line of best fit(not shown) ?A)2B)5C)7D) 12Unauthorized copying or reuse of any part of this page is illegal.84310A high school basketball team won exactly 65 percentof the games it played during last season. Which ofthe following could be the total number of games theteam played last season?A) 22B) 20C) 18D) 1411110x y 1,210A coffee shop is running a promotion where anumber of free coffee samples are given away eachday. The equation above can be used to model thenumber of free coffee samples, y, that remain to begiven away x days after the promotion began. Whatdoes it mean that (11, 0) is a solution to thisequation?A) During the promotion, 11 samples are givenaway each day.B) It takes 11 days during the promotion to see1,210 customers.C) It takes 11 days during the promotion until noneof the samples are remaining.D) There are 11 samples available at the start of thepromotion.CO NTI N U E

44yA)10O10xyB)10O10xyC)10O10xyD)10O10xUnauthorized copying or reuse of any part of this page is illegal.4413FrequencyWhich scatterplot shows a negative association thatis not linear? (Note: A negative association betweentwo variables is one in which higher values of onevariable correspond to lower values of the othervariable, and vice versa.).1214121086420015 30 45 60 75 90 105 120 135 150Height of pyramid (meters)The histogram above shows the distribution of theheights, in meters, of 26 pyramids in Egypt. Whichof the following could be the median height of the26 pyramids represented in the histogram?A) 44 metersB) 48 metersC) 63 metersD) 77 metersCO NTI N U E

44A survey of 170 randomly selected teenagers aged14 through 17 in the United States was conducted togather data on summer employment of teenagers. Thedata are shown in the table below.Ages 14–15Ages 16–17TotalHave asummer job203959Do not have aTotalsummer job6989814211117014Which of the following is closest to the percent ofthose surveyed who had a summer job?A) 22%B) 35%C) 47%D) 53%15In 2012 the total population of individuals in theUnited States who were between 14 and 17 years old(inclusive) was about 17 million. If the survey resultsare used to estimate information about summeremployment of teenagers across the country, whichof the following is the best estimate of the totalnumber of individuals between 16 and 17 years old inthe United States who had a summer job in 2012 ?A) 8,200,000B) 3,900,000C) 2,000,000D)390,000Unauthorized copying or reuse of any part of this page is illegal. Questions 14-16 refer to the following information.4516Based on the data, how many times more likely is itfor a 14 year old or a 15 year old to NOT have asummer job than it is for a 16 year old or a 17 yearold to NOT have a summer job? (Round the answerto the nearest hundredth.)A) 0.52 times as likelyB) 0.65 times as likelyC) 1.50 times as likelyD) 1.64 times as likely CO NTI N U E

44Percent proteinPercent Protein in Five Food Products35302520151050ACDBFood productsEThe graph above shows the amount of proteinsupplied by five different food products, A, B, C, D,and E, as a percentage of their total weights. Thecosts of 10 grams of products A, B, C, D, and E are 2.00, 2.20, 2.50, 4.00, and 5.00, respectively.Which of the five food products supplies the mostprotein per dollar?A) AB) BC) CD) EUnauthorized copying or reuse of any part of this page is illegal.174618BACDEIn quadrilateral ABCD above, BC is parallel to AD ,and AB CD . If BC and AD were each doubled andBE was reduced by 50 percent, how would the area ofABCD change?A) The area of ABCD would be decreased by50 percent.B) The area of ABCD would be increased by50 percent.C) The area of ABCD would not change.D) The area of ABCD would be multiplied by 2.19Boyd grows only tomatoes and raspberries in hisgarden. Last year, he grew 140 pounds of tomatoesand 60 pounds of raspberries. This year, theproduction, by weight, of tomatoes declined by20 percent, and the production, by weight, ofraspberries declined by 50 percent. By whatpercentage did the total yield, by weight, ofBoyd’s garden decline?A) 29 percentB) 30 percentC) 35 percentD) 70 percentCO NTI N U E

44Frequency4321001234 5 6Integers789 10The graph above shows the frequency distribution ofa list of randomly generated integers between 0 and10. What is the mean of the list of numbers?A)3.0B)3.5C)4.25D) 12.0Unauthorized copying or reuse of any part of this page is illegal.204721y42–4–2O246x–2What is the minimum value of the function graphedon the xy-plane above, for 4 x 6 ?A) B) 4C) 2D)1CO NTI N U E

44In 1929, the astronomer Edwin Hubble published thedata shown. The graph plots the velocity of galaxiesrelative to Earth against the distances of galaxies fromEarth.Velocity (km/s)1,500Velocity–Distance Relationamong Galaxies1,000500Galaxy Q0–500– 0.500.5 1.0 1.5Distance (Mpc)2.02.5Hubble’s data can be modeled by the equation v 500d,where v is the velocity, in kilometers per second, atwhich the galaxy is moving away from Earth and d is thedistance, in megaparsecs, of the galaxy from Earth.Assume that the relationship is valid for larger distancesthan are shown in the graph. (A megaparsec (Mpc) is3.1 1019 kilometers.)22According to Hubble’s data, how fast, in meters persecond, is Galaxy Q moving away from Earth?A) 2 106 m/sB) 5 105 m/sC) 5 102 m/sD) 2.5 102 m/sUnauthorized copying or reuse of any part of this page is illegal. Questions 22-24 refer to the following information.4823There are four galaxies shown in the graph atapproximately 0.9 Mpc from Earth. Which of thefollowing is closest to the range of velocities of thesefour galaxies, in kilometers per second?A) 100B) 200C) 450D) 70024Based on the model, what is the velocity, inkilometers per second, of a galaxy that is 15 Mpcfrom Earth?A) 7,500 km/sB) 5,000 km/sC) 1,100 km/sD) 750 km/s CO NTI N U E

44Janice puts a fence around her rectangular garden.The garden has a length that is 9 feet less than 3times its width. What is the perimeter of Janice’sfence if the area of her garden is 5,670 square feet?A) 342 feetB) 318 feetC) 300 feetD) 270 feet26BaAbCGiven the right triangle ABC above, which of thefollowing is equal tob?aA) sin AB) sin BC) tan AD) tan BUnauthorized copying or reuse of any part of this page is illegal.254927 y x 2y 3x 2 ysection Qsection Rsection Pxsection SA system of inequalities and a graph are shownabove. Which section or sections of the graph couldrepresent all of the solutions to the system?A) Section RB) Sections Q and SC) Sections Q and PD) Sections Q, R, and SCO NTI N U E

447Answer: 12DIRECTIONSFor questions 28-31, solve the problem andenter your answer in the grid, as describedbelow, on the answer sheet.1. Although not required, it is suggested thatyou write your answer in the boxes at the topof the columns to help you fill in the circlesaccurately. You will receive credit only if thecircles are filled in correctly.2. Mark no more than one circle in any column.3. No question has a negative answer.4. Some problems may have more than onecorrect answer. In such cases, grid only oneanswer.5. Mixed numbers such as 3 1 must be gridded2Writeanswerin boxes.7 / 12.123456789Grid inresult.2 / 3/grid, it will be interpreted as 31 , not 3 1 .)226. Decimal answers: If you obtain a decimalanswer with more digits than the grid canaccommodate, it may be either rounded ortruncated, but it must fill the entire grid.2 . 5.123456789/ /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9. 666Decimalpoint. 667/ // /. . . . . . .0 0 00 0 01 1 1 11 1 1 112 2 2 22 2 2 223 3 3 33 3 3 334 4 4 44 4 4 445 5 5 55 5 5 556 6 6 66 6 6 667 7 7 77 7 7 778 8 8 88 8 8 889 9 9 99 9 9 99Answer: 201 – either position is correct201/ /. . . .0 0 01 1 1 12 2 2 23 3 3 3Unauthorized copying or reuse of any part of this page is illegal.Fractionline2Acceptable ways to grid 3 are:as 3.5 or 7/2. (If 3 1 / 2 is entered into the// /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9Answer: 2.550201/ /. . .0 0 01 1 1 12 2 2 23 3 3 3./ /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9NOTE: Youmay start youranswers in anycolumn, spacepermitting.Columns youdon’t need touse should beleft blank.CO NTI N U E