BN 3 Math Test - No Calculator 25 MINUTES, 20 QUESTIONS ‘Turn to Section 3 of your answer sheet to answer the questions in this se re For questions 1-15, solve each problem, choose the best answer from the choices provided, and fill n the corresponding circle on your answer sheet. For questions 16-20, solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question 16 on how to enter your answers in the grid. You may use ~any available space in your test booklet for scratch work. 1. The use ofa calculatoris not permitted. 2, All variables and expressions used represent real numbers unless otherwise indi:ated. 3. Figures provided inthis test are drawn to scale unless otherwise indicated. 4, Allfigures le in a plane unless otherwise indicated, 5. Unless otherwise indicated, the domain of a given function Fis the st ofall ealnumbers x for which f(x) is real number V=twh ‘The number of degreas of arc in a circle is 360. The number of radians of arc in a circle is 2x. ‘The sum of the measures in degrees of the angles of a triangle is 180. som Er»3 yA ‘What i the solution tothe equation 2x43 Al 3 B) As tr o2 D4 10 ~12tt 7 ‘The graph of y=f(x) is shown in the xy- plane. What is the value off(0)? Ay 8 P +3064 20 ‘Which of the following is equivalent to the expression above? A) 25x B) 3xkex ©) 2x82 6x? D) 3x4 6x? sem >3 ‘The City Transit bus line charges $2 for an adult and $1 for a child to ride one way. During a certain 4-hour shift, a bus driver collects $1,171 from 617 riders. Which of the following systems ‘of equations could be used to determine the umber of adult riders, A, and the aumber of child riders, C, during this 4-hour shift? A) 2A40=4 (1,171) A+C=4(617) B) 4(2A)+4(0)= 1171 A(A+C)=617 ©) 2A4C=617 A+C D) 2A#C=1,I71 A+ b In the xy-plane above, a dilation with center O and seale factor 3 transforms triangle ABC to triangle DEF. Which of the following statements is NOT true? [A) The perimeter of triangle DEF is 3 times the perimeter of triangle ABC. B) The measure of / Bis 3 times the measure of 2B. C) The length of AB is ythe length of DE. D) 2 Aiscongruentto Z D aon Er3 A ‘In the xy-plane, the y-coordinate ofthe y-intercept of the graph of the function fis e. Which of the following must be equal to.¢? A) £0 B) fy 9 f@ D) £@) a I ‘The length of a rectangular tile is 4 times the width of the tle Ifthe area ofthe tile is 144 square inches, ‘what isthe width of the tile in inches? a6 B) 12 ou D) 36 sum 3 Which of the following isthe graph of y—5x=-6, in the xy-plane? A} ; B) ° D)=| /@) ‘The table shown gives some values ofx and the corresponding values of fof x, where fis a linear x) is graphed in the xy-plane, ‘what isthe y-coordinate ofthe y-intercept ofthe graph? function. If Ad B) OS oo ba JA 30m Aq1321+0.3443m ‘The equation above can be used ‘0 estimate the body surface area A, in square centimeters, ofa child with ‘mass m, in grams, where 3,000 cubic feet and a height of 9 feet, What i the radius, in feet, of the base of the cone? ag B ; B of D) 3 Which of the following is equivalent to , § where ris greater than OF 1 ar 2 io By r 3 or’ iy Dr Score on the language test 30 a0 So" gow 8D ‘Age in yeas A scientist tested a group of adults aged 30 to 85. The graph shows the quadratic function 8, which models. their scores on a language test as function of their age x, in years, Which ofthe following could define $ z 3 jap 507+ 55 1 (x s5f50 1 ssf ad som Er[3 cn 3] Answer: Answer: 25 For questions 16-20, solve the problem and Witter? [7| s|4|2 2|.|5 tenter your answer in the gridasdescribed iN Boxes. PT @_lCINT| Fraction below, on the answer sheet. ldoldlaiay le 3}|= Decimal @/@\o| @jaj@) Pe 1, Although not required, itis suggested that DQe\o| DAO} you write your answer in the boxes at the top D@|Q|@| 2/@/2) 2 ‘of the columns to help you fill in the circles Grid in} |@|@|Q|@| BI@|G}@| accurately. You will receive credit onlyifthe PUI} | @lai@| ay A)@)a)@ Circles are filled in correct farolelol ace 2. Mark no mote than one circle in any column, elelole) OOCO 3. No question has a negative answer. eal) aalala 4, Some problems may have more than one aloe eloelo correct answer, In such cases, grid only one elaloe olol\e|o answer 5, Mixednumberssichas 31 mus begidied Acceptable waysto gid 3 ar 83.5 0r 7/206 bateel ‘entered into the 2|/\3 elele 6lal7 it willbe interpreted as ®!,not 32.) eS) Agee Age 6 ima acne fy hin i Doo] | ooo | Ooo answer with more digits than the gid can mocrmnmmecaunmieasce (AIS) OID HA] la}da truncated, but it must fil the entire grid DAP O] [B/P/9|@}_ |@|@|@/9 AIAG) |AI@@@ |@@\@/@| DP/O|S]_ |S|Q|9|G}_ |S|Q|@/4 G|G/O|\O) || \C}@|\@/6) DDO |Q| QQ|2)@! ‘Answer: 201 - either position is correct NOTE: You S ‘may start your answers in any column space iting, ) Caumns you DQe} den't need to ee terbionk som E>3 A 3 On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He x-ak-3=0 then completed the trip, driving at an average speed of 50 miles per hour for the remaining y hours. If x ‘What value of x satisfies the equation above? ‘equals 1, what isthe value of y? daW3w-10=22 In the equation above, what isthe value of z when w=2? som a>3-2) sat In the equation above, k isa constant. Ifthe equation has infinitely many solations, what is the If (x. y)is the solution to the system of equations vellon oR, above, what is the value of x? STOP If you finish before time is called, you may check your work on this section only. Do not turn to any other section.4 & 4 Math Test - Calculator 55 MINUTES, 38 QUESTIONS ‘Turn to Section 4 of your answer sheet to answer the questions in this section, re For questions 1-30, solve each problem, choose the best answer from the choices provided, and fill n the corresponding circle on your answer sheet. For questions 3 solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question 31 on how to enter your answers in the grid. You may use ~any available space in your test booklet for scratch work. 1. The use of a calculator is permitted. 2. Allvariables 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 fis the set ofall realnumbers x for which f(4) is a real number. 2x sf\g12 5 e a8 A Special Right Triangles v=} veLewh V=twh ah vader 3 ‘The number of degrees of arc in a citcle is 360. ‘The number of radians of arcin a circle is 2x. The sum of the measures in degrees of the angles of a triangle is 180. sam EraS & 4 {A store received a shipmentof 1,000 MP3 players, 4 eo 1 ‘of which were defective. Ifan MP3 player is randomly. ¥ ool tt || | selected from this shipment what is the probability ee that itis defective? gE 58 a» rH a) ose 3° | | : B) 0.04 “Da elo a ew | © Ot neal D4 ‘The graph above shows the Chen family's water usage over 40 weeks, During which of the following periods was the family’s water usage above 750 gallons per week? A). From week 5 through week 8 B) From week 13 through week 17 a 1 C)_ From week 22 through week 26 D) From week 33 through week 36 Seadm(a + 0.258) (50-2) ‘The function f is defined above. What is the value of f(20) 2 a ‘The distance between two locations on a map is 6 A 220 ‘centimeters (cm). If 1 cm on the map corresponds B) 500 ton actual distance of 15 miles, what isthe actual ©) 730 distance, in miles, between the two locations? oi ith A) od B) 25 ©) 90 D) 150 nem Er4 ae 4 ‘The graph of y = 3x— 5 in the ay-plane isa line. ‘What isthe siope ofthe line? Which of the following expressions is equivalent to2(ab-3) +2 As A) 2ab-1 B) 2ab—4 ©) 2ab-5 D) 2ab-8 D5 B) 2 os | ‘What number is 20% greater than 60? A) 50 8) 72 C) 75 D) 132, sam Ei»A system of equations consists of a quadratic ‘equation and 2 linear equation. The equations in this system are graphed in the xy-plane above. How many solutions does this system have? ao Ba Q2 D3 = A tree had a height of 6 feet when it was planted. The equation above can be used to find how many years mit took the tree to reach a height of 14 feet. Which of the following is the best interpretation of the number 2 in this context? A) The number of years it tok the tree to double its height B) The average number of feet thatthe tree frew per year ©) The height, in fee, of the tree when the tree was I year old D) The average number of years it takes similar trees to grow 14 feet sam 4 Residents of a town were surveyed to determine whether they are satisfied wth the concession stand at the local park. A random sample of 200 residents ‘was selected. All 200 responded, and 87% said they are satisfied, Based on this information, which of the following statements must ke true? 1. Ofall the town residents, 37% would say they are satisfied with the concessior stand at the local park. I. Ifanother random samp of 200 residents were surveyed, 87% would say they are satisfied. A) Neither B) Tonly ©) Monly D) Tand tt4 In the xy-plane, the graph of y= x +3 intersects the graph of y = 2.x~ 6 at the point with coordinates (ab). What is the value of a? ADS B) 6 o9 D) 12 20 2s 20 15 . 10. - - Shoe Which of the following could be the equation for a line of best fit for the data shown in the scatterplot above? A) y=3x408 B) y=08x+3 08x43 -3x+08 B 4 (445) What is the solution to the equation above? | A) x=2 i B) x=4 C) x=8 D) x=16 A fish hatchery has three tanks for holding fish before they are introduced into the wild. Ten fish ‘weighing less than 5 ounces are placed in tank A. Eleven fish weighing atleast 5 ources but no more than 13 ounces are placed in tank B. Twelve fish ‘weighing more than 13 ounces are placed in tank C. ‘Which of the following could be the median of the ‘weights, in ounces, ofthese 33 fist? A) 45 B) 8 O Bs D) 15 som Er4 i 4 In triangle ABC, the measure of / Ais 50°. If js i triangle ABC is isosceles, which ofthe followings In the xy-plane, a circle with radius 5 has center NOT possible measure of B? ne with coordinates(-8, 6). Which of the following is ‘an equation of the circle? A) et (Gee G +625 B) 6s : ae Oo 80 |B &+84K- D) 100° oC (-8) #4625 2 2 D) (x+8)+G-6)=5 sasm Kr4 Questions 17 and 18 refer to the following information. Climate Preferences Greens According to the 2010 Census, the adult population aged 18 years or greater of the United States in 2010 ‘was 234,564,071. In 2010, a survey was conducted among @ randomly chosen sample of adults aged 18 years or greater in the United Siates about their preference to live ina warm climate or a cool climate The table below displays a summary of the survey results, Based on the data, which of the following is closest to the probability that a randomly selected adult who is 18-35 years old prefers to live ina cool climate? A) 01 8) 030 ©) 033, D) 049 4 sam ‘Which of the following is closest 0 the difference between the percentage of adulisaged 18-50 years ‘who responded “warm” and the percentage of adults aged 51 years or greater who responded “warm”? A) 4% B) 5% ©) 10% D) 18%4 Which of the following speeds is equivalent to 90 Kilometers per hour? (1 kilometer = 1,000 meters) A) 25 meters per second B) 32-meters per second ©) 250 meters per second D) 324 meters per second ag 4 0 = 0 10 2 30 50 60 70 ‘The scatterplotin the xy-plane above shows nine points with (x, y ) and a line of best fit. Of the following, which best estimtes the amount by which the line underestimates the value of y when x= 50 ? As B) 10 ob D) 18 sam >4 A certain elephant weighs 200 pounds at birth and. gains more than 2 but less than 3 pounds per day during its first year. Which of the following inequalities represents all possible weights w, in pounds, for the elephant 365 days after birth? A) 4004 tal 4 P= 6989 ‘The formula above gives the theoretical power P, in Kilowatts (kW), available from water falling from a certain height in terms of its flow rate, q in cubic eters per second. What is the flow rate, in cubic meters per second, of water filling from the same height with a theoretical power of 1,029,000 kiV? ‘The graph above models the daily profit yin dollars, that a school club expects to make from selling shirts, fora price of x dollars, Based on the model, what is ‘the maximum daily profit, in dollars? (Disregard the $ sign when gridding your answer.) oom ErIn the xy-plane above, line k passes through the points with (0, 2 Jand (3, 0). Ifline kis defined by the equation y = mx+ b, where m and 6 are constants, what is the value of & ? 4 Trevor works as a sales asso:iate ata retail store. He is normally paid 20% of he total retail value ‘of the merchandise he sells,but he can also earn a bonus. When he earns a bonus, he paid an additional 15% of his normal pay. Durng one pay period, ‘Trevor sold $3500 in merchandise and earned a bonus. How much was he paid, in dollars, for this pay period? (Disregard she $ sign when ¢gridding your answer.)A company's total cost ¢ (x), in dollars, to produce x shirts is given by the function above, where m is a constant and x > 0, The total cost to produce 100 shirts is $800, What isthe total cost, in dollars, to produce 1000 shirts? (Disregard the § sign when ‘ridding your answer.) 4 56m ‘The total distance d, in meters, taveled by an object moving in a straight line can be modeled by a ‘quadratic function that is defined in terms off, ‘where ¢ isthe time in seconds. Ata time of 10.0 seconds, the total distance traveled by the object is 50.0 meters, andat a time of 20.0 seconds, the total distance travebd by the object is 200.0 meters. Ifthe object was at a distance of) meters when f= 0, ‘then what isthe total distance triveled, in meters, by the object after 30.0 seconds?4 ‘Questions 37 and 38 refer to the following information. Score Fequences Sea | For a certain computer game, individuals receive an integer score that ranges from 2 through 10, The table below shows the frequency distribution ofthe scores of the 9 players in group A and the 11 players in group B. ‘The median of the scores for group B is how much greater than the median of the scores for group A? 4 "The mean of the scores for group A is 5, and the mean of the scores for group B is 7. What is the mean of the scores for the 20 players in groups A and B combined? STOP If you finish before time is called, you may check your work on this section only. Do not turn to any other section. orm