Math Test - No Calculator 20 MINUTES, 13 QUESTIONS Tur to Section 3 of your answer sheet to answer the questions in this section. Icon For questions 1-10, solve each problem, choose the best answer from the choices provided, and fil in the corresponding circle on your answer sheet. For questions 11-13, solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question 11 on how to enter your answers n the grid. You may use any available space in your test booklet for scratch work, 1. The use of calculator is not permitted. 2. Allvariables and expressions used represent real numbers unless otherwise indicated 3. Figures provided in this est are drawn to scale unless otherwise indicated, 4, Allfigures 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 for which f(x) is areal number. £ f A ie th of XN el, S| b : a 2 a3 s Azar Aztw Special Right ‘Triangles Cuz V=twh arth The number of degrees of arcin a circleis 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.eee 4°60 In the equation above, what is the value of x? A) 25 B) 30 © 40 D) 45 i ‘The table above shows some pairs of x values and y values. Which of the following equations could represent the relationship between x and y? A) y=2e43 B) y=3x-2 ©) yearn D) y=5x sutra opyng ous ay arf his page ga 31 3 A discount airline sells a certain number of tickets, x, for a flight for $90 each. It sells the number of remaining tickets, y, for $250 each, For a particular flight, the airline sold 120 tickets and collected a total ‘of $27,600 from the sale of those tickets. Which system of equations represents this relationship between x and y? ay fety= 20 ®) Joox + 250y = 27,600 py [et72 20 | 90x-+ 250y = 120(27,600) xy = 27,600 |90x-+ 250 = 120(27,600) 90x = 250y P) hiaox + 12oy = 27,600 xP 17x- 60 Which of the following is equivalent to the expression above? A) (e-5)(x- 12) B) (w+5)x-12) ©) (= 3){x-20) D) (x+3)(e~20)‘What is the equation of the line shown in the ay-plane above? A) y=3x-3 B) y=-3x43 1 © y=5e-3 1 D) yeotaes og (lix+31y)-2C-x+5y) Which of the following expressions is equivalent to the expression above? A) -13e421y B) -13x+36y ©) ~9x+21y D) -9x+ 36y Unauthrnd coping or ese of any part of tispage sega 32 3 The formula for determining the pressure, p, exerted ‘onan object at a depth, hi, below the surface of a liquid is p = s+ dgh, where sis the atmospheric pressure, dis the density of the liquid, and gis the acceleration due to gravity. Which formula represents hin terms of p, s,d,and ¢? A) =P sdg eee wnat ©) b= ps-dg D) h=ps+dg Rachel’s costs for automobile maintenance and fuel are shown in the table below. Cost of Automobile Ownership Type of cost | Average cost ‘maintenance|_5 cents per mile fuel TA cents per mile In addition to fuel and maintenance, Rachel pays $1,000 a year for insurance. The equation C= (0.05 + 0.14)x + 1,000 shows the cost C, in dollars, of owning and operating the car for a year as «a function of x, the number of miles driven in a year. ‘What does the slope of the graph of this function represent? A) The cost of insurance for a year B) ‘The cost of fuel and insurance for a year ©) The cost of owning and operating per mile D) The cost of maintenance and fuel per mile3 yl 3 (C4x+5)-(6x+7)=0 A manufacturer makes two different sizes of spherical ball bearings for use in motors. Ifthe radius, of the larger ball bearing is twice the radius of the A) x26 smaller one, then the volume of the larger ball bearing is how many times the volume of the What is the solution to the equation above? B) x=1 smaller one? ©) x=-02 A)2 D) x=-12 B) 3 6 D) 8 nated cop oeusof any prt oth pace 33 Er13 x 3] Answer: 3 Answer: 25 For questions 11-13, solve the problem and Srstear? |'7|/|1| 2! 2|.|5| enter your answerin the grid, as described inboxes. WO) |< Fraction [TIO below, on the answer sheet. DO|O|O) line IQ|O}@|O} < Decimal JO jojo) Pr" 1. Although not required itis suggested that Dalelo aja}alo) you write your answer in the boxes at the top alee Qlela\o) ofthe columnstohelp yourilinthecircles Gridin| |3)@/@|@) ajajalal accurately. You will receive credit onlyifthe — Fesult.) | @|@|@ a) @@\@\a| Circles are filed in conecty. Salelo lier) 2. Mark no more than one ctce in any column Oolole Ael@lo) 3. No question has a negative answer. ealala aalaia) 4, Some problems may have more than one eelele @@ala) correct answer. In such cases, rid only one /a\alo) Slalola) 5. Mixed mumberssuchas 3Lmustbegrdded Acceptable waysto gid 3 ae: as350r72.06 Big isererdino te 2|/\3| .lelelel |. \elel7 gridit willbe interpreted.as 3! not 3) for) IQ] [or “ wa lelelelemmt telelemt lelele) 6. Decimal answers: Ifyou obtain a decimal OOO Iooo ooo mmemmetnnrs, § — (AH |! Ha aqo truncated but it must fl the ent gt BES |SVqQ@ |@ee : oo aa\a\e| |a\G\a\o| |Daa@ A@@4] |\@@@)o| @@@@ Qa\a|9| |O|G|G\o| Qoo@ O/@\@|o) e See AaIaIe| |aa/aI\e} \a\aa/e) Answer: 201 ~ either position i correct NOTE: You 2 2\o|4| | maystartyour Bose eee === | (@ JO) Estumns you Jo} DD@lO) dontneedo ole! @|@|@| use shoutd be ; left blank3 Ifthe equation y = 2x? ~ 5x +3 is graphed in the xy-plane, what is the value of its y-intercept? a The solution to the system of equations below is(xy). Bxey=13 2x 4y= 18 What is the value of x? pA 3 A group of 12 friends went bowling, They each rented shoes for $3.00 a pair, and 4 friends bowled 2 games each, while 8 friends bowled 3 games each, Each game bowled cost each person the same amount. The total cost for the shoe rentals and the games bowled was $212.00, What was the cost, in dollars, of each game bowled? (Note: Disregard the § sign when gridding your answer.) STOP If you finish before time is called, you may check your work on t sec Do not turn to any other section. sutra opyng ous ay arf his page ga4 & 4 Math Test - Calculator 40 MINUTES, 25 QUESTIONS Turn to Section 4 of your answer sheet to answer the questions in this section. Tae For questions 1-21, solve each problem, choose the best answer from the choices provided, and fin the corresponding circle on your answer sheet. For questions 22-25, solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question 22 on how to enter your answers in the grid. You may se 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, Allfigures lie ina plane unless otherwise indicated, 5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for ‘which f(x) isa real number. Pe ie So" 455 wG Z =aP A=tw Special Right Triangles wh The number of degrees of arc in a citcleis 360. The number of radians of ac in a circle is 2x. The sum of the measures in degrees of the angles of a triangle is 180.4 CCharissa ordered 3 cans of lemonade for each person at her party. She also ordered 1 pizza for every 4 people, If she ordered 6 pizzas, which of the following could be the number of cans of lemonade she ordered? A) 36 B) °) D) 72 A bakery sells trays of cookies. Each tray contains at least 50 cookies but no more than 60. Which of the following could be the total number of cookies on 4 trays of cookies? A) 165 B) 205 ©) 245 D) 285 sutra opyng ous ay arf his page ga 8 37 4 A survey taken by 1,000 students at a school asked. whether they played school sports. The table below stummarizes all 1,000 responses from the students surveyed, Males ] Females Play a school sport 312_| 220 Do not play a school sport ? 216 How many of the males surveyed responded that they do not play a school sport? A) 109 B) 252 ©) 468 D) 688 A waiter receives tips from each customer, On average, the tip is 15% of the customer's bill At this rate, which of the following is closest to the tip the waiter can expect when a customer has a bill that is $78.20? A) $8.00 B) $10.00 ©) $12.00 D) $14.004 & The table below shows the high and low temperatures in Houston, Texas, during a five-day period. Temperatures in Houston, Texas (degrees Fahrenheit) Monday | Tuesday | Wednesday | Thursday | Friday High temperature | 73 36 a 75 al Low temperature [| 49) 7 ‘al 34 8 ‘What was the mean low temperature, in degrees Fahrenheit, during the five-day period? A) 488 B) 49 oO 39 D) 891 Unauthrnd coping or ese of any part of tispage sega4 A random sample of 50 people from a town with a population of 14,878 were asked to name their favorite flavor of ice cream. 1f7 people in the sample named chocolate a their favorite ice-cream flavor, about how many people in the town would be expected to name chocolate? A) 350 B) °) D) 10,500 \Unuthrzed copying reuse any part ofthis page ga 4 A study was done to determine a new car’s stopping distance when it was traveling at different speeds. The study was done on a dry road with good surface conditions. The results are shown below, along with the graph of a quadratic function that models the data Vehicle Stopping Distance 250 $ 200 150 7 100 50 aaa o 3% 4 0 #0 Spe (ies per hou) Stopping distance (feet) According to the model, which of the following isthe best estimate for the stopping distance, in feet, ifthe vehicle was traveling 55 miles per hour? A) 25 B) 30 © 210 D) 2504 ‘The equations below show the total amount of water in gallons, , that has flowed through two different types of showerheads after x minutes of use. ‘Type A: y= 1.25x Type B: y = 2.50x Based on these equations, which of the following statements isa correct comparison? A) For each minute of use, the amount of water that flowed through Type B is twice the amount that, flowed through Type A. B) For each minute of use, the amount of water that, flowed through Type A is twice the amount that flowed through Type B. ©) The amount of water that flowed through ‘Type A per minute increased at a faster rate than the amount of water that flowed through Type B per minute. D) The amount of water that flowed through Type B per minute increased ata faster rate than the amount of water that flowed through Type A per minute. Unauthrnd coping or ese of any part of tispage sega 4 A certain number of cubic yards of concrete will be poured to form a driveway. The concrete will fill a space that is a right rectangular prism that is 18 feet wide, 42 feet long, and 6 inches thick. What are the dimensions of this space (width by length by thickness) in yards? (Note: 1 foot = 12 inches and 1 yard = 3 feet) 4) yada Myst a B) 6 yards by 14 yards by} yard ©) 54 yards by 126 yards by 72 yards D) 54 yards by 126 yards by 216 yards4 ‘The charges for a parking garage are shown below. Parking Garage Charges (maximum of 4 hours) Charge Parking time oO) (inutes) 1 upto 30, 2 _[_over 30 and upto 60 3__ | over 60 and up 10 90 4 _[_over 90 and up to 120 9 _[ ever 120,and up to 180 14 __ | over 180 and up to 240 Which graph shows the relationship between the parking time, in minutes, and the charge, in dollars? A) 45 2 Charge (dollars) 0 60 120 180 240 300 Parking time (minutes) B) ‘Charge (dollars) 0 60 120 180 240 300 Parking time (minutes) \Unuthrzed copying reuse any part ofthis page ga oo. eR Bo B 6 é 3 o 0 60 120 180 240 300 Parking time (minutes) D) e é 60 120 180 240 300 Parking time (minutes) A sterling silver platter is made up of a mixture of silver and copper. The ratio of silver to copper is 37: 3 by mass. Ifthe platter has a mass of 600 grams, What is the mass, in grams, of the copper in the platter? A) 18 B) 45 ©) 222 D) 5554 v Questions 12-14 refer to the following information. Rocco is saving money to buy his first car. He works 15hours each week and saves $10 for each hour he works. Rocco has already saved $3,500 and plans to save at least $5,300. He knows there will be an 8.5% sales tax ‘on the purchase price of the car and a title transfer fee of 15. He will use the formula below to determine his gas ‘mileage, y, in miles per gallon, from the number of miles, 1m, the car can be driven using ¢ gallons of gas. g Rocco will need to pay a total of $5,246.87 for the car, including the sales tax and transfer fee. To the nearest dollar, what is the purchase price of the car Rocco plans to buy? A) $4,787 B) $4,822 ©) $5,223 D) $5,708 Unauthrnd coping or ese of any part of tispage sega 4 Which formula can Rocco use to determine the number of miles he can expect to drive using a certain number of gallons of ga B) m= D) m Which inequality can Rocco use to model the number of weeks remaining, x, that he will need to ‘work before he has saved at least $5,300 ? A) 3,500 + 150x > 5,300 B) 3,500 < 150x + 5,300 C) 3,500 < 150 +5,300x D) 3,S00x +1502 5,300 A4 ‘The table below shows the lengths in centimeters (cm) of a sample of 5 leaves froma tree, Teaf] Length (em) rf 42 2 | 138 3 | 126 4 | 134 5) 1s 6 z A 6th leaf is added to the sample and its length is measured. Its measure increases the mean value of the sample of leaves but decreases the median value ‘ofthe sample of eaves. What is a possible measurement for the length ofthe 6th leaf? A) 13.1em B) 133m ©) 34cm D) 13.7em sutra opyng ous ay arf his page ga 43 4 A theater is showing one movie today. A media research company randomly selected people coming out of the theater to rate, on a 5-star scale, the movie they just saw. The results of the survey are shown in the table below. Movie Ratings Rating * 8 ** 2 kkk ” kkk 9 Kae KK Frequency ‘A total of 325 people saw the movie in that theater: Based on the survey results, about how many of the people who saw the movie would have rated it with 3 or more stars? A) 50 B) 80 ©) 230 D) 3054 v Questions 17 and 18 refer to the following information. Experts say vitamin C is a nutrient that provides many health benefits. The amount of vitamin C, milligrams (mg), found in 100 grams (g) of each of several fruits is shown in the table below. Vitamin C Content in Fruits ‘ypeottiai | Gog ort Acerola cherries | __1,678 mg Black currants 181 mg Guava 228mg Kivifrit 105 mg Pineapple 56mg Strawberries 59 mg Which quantity of fruit contains an amount of vitamin C closest to the combined amount of vitamin C in 50 g of acerola cherries and 150 g of kiwifruit? A) 2,000 gofblack currants B) 800 gofguava C) 1,800 gofpineapple D) 600 g of strawberries Unauthrnd coping or ese of any part of tispage sega & 4 A fruit salad was prepared containing 100 g of acerola cherries, 100g of kiwifruit, 300 g of pineapple, and 200 g of strawberries. What is the total amount of vitamin C, in grams, that is contained in the listed fruits? A) 07g B) 2.0698 ©) 700g D) 2,069 g4 A quality-control specialist for an electronies manufacturer estimates that 0.25% of the televisions produced each day by her company are defective. If the manufacturer produces an average of 450 televisions each day, which of the following is the best estimate of the total number of defective televisions produced in 30 working days? ayo. B34 ) D) 3,37: sutra opyng ous ay arf his page ga 45 Line is shown on the xy-plane above. Ifthe corresponding equation for line fis y = ax + b, where a and b are constants, which set of inequalities is true about and b? part » fot5° of > {52%4 8 Mr. LePage spent $25,000 to buy a new truck for his construction business. He estimated the value of the truck after each of the next 5 years, as shown in the table below. Truck Value after Each Year of Ownership Year | Truck Value @| 1_[ $22,000 2_[_ 819,000 3_| $16,000 4_[ $13,000 5 810,000 If the line passing through the points defined by the values in the table is graphed in the xy-plane, which. of the following is the best interpretation of the srintercept in the context of the problem? A) The number of years for which the value of the truck will decrease B) ‘The amount that the value of the truck is decreasing each year ©) The value of the truck after the sixth year of ownership D) The value of the truck when it was new Unauthrnd coping or ese of any part of tispage sega 46i! 4] answer: Z Answer: 25 For questions 22-25, solve the problem wie |7[1\4|2 2|.|5 and enter your answer in the grid, as described in Boxes, TW |< fraction oO) below on the answer sheet. lolaldie) |" 1Q|< Decimal @|O| || Pr 1. though not required itis suggested that Doe) D/a\o\0) you wite your answer inthe boxes at the top 2\2/21e) 2\e\2\2) ‘of the columns to help you fill in the circles. Grid in} |) | @|@|@| @| accurately. Youwillreceive credit only ifthe result.) |) | @@ elo ticles refilled in correct lotta) Sclole| 2. Marknormore then ane cle in ay column, alee) Sool 3. No question has anegative answer. a aloiclal 4. Some problems may have more thah one Solel) Delo comect answer In such cases grid only one lolol ®alelo) 5. Mixed numbers suchas 3 mustbe ded Acceptable waystord 2 ae: as 3.5 or 7/2.(If |3]4| /|2/ is entered into the 2sis elele 6l7| rt wil be interpreted as 3!,not 3 e DIO} 1D) ane wl einterbretedas net 37) a8 eld leo 6 Decimal answars: you obtain a decimal OOO loo OO) Sccommodatet maybe eer feuded or DIIV® PIM |Q@oe ; Ze\2)o| \a/ale\a| jajajaja) truncated butt must lhe entire grid see (Ss) sss ®A@o| @@ala| jalalala 8}O|6| |olalo\a| |a\o\o\6) OOO) Cele \cjeles Q|Q)a\0| \alalala) ja IAIAIDIAE IAIAIAIAH IAIAIAIO! Answer: 201 ~ ether postloniscomect NOTE: You 2io|4| [2lol4| | maystaryour a DOP exit space IAGIO\e| lalgidja) umn. PIO) | A@|O/O) Eotmnsyou DOHDE| |||) contneearo DS l@lalala| tsesrouidbe IAIAIAIAl |AlAlAlal leftbtank.4 ‘The solution to the system of equations below is xy). What is the value of x? sutra opyng ous ay arf his page ga 4 A dinner was held to raise money for a children’s museum. A ticket for one person cost $200 and a ticket for a couple (two people) cost $350. A total of 130 people attended the dinner, and the ticket sales total was $24,000, What is the total number of tickets that were sold?4 & Questions 24 and 25 refer to the following information. ‘The United States Senate first convened in the year 1789. From 1789 through 2013, a total of 44 women served as, US senators. The partially completed table below shows the ‘number of women senators by political party and geographical region, ‘Number of Women US Senators through 2013 Political party Democratic | Republican | Total Midwest 7 Northeast | 4 8 Geographical FO , 5 region West 6 7 Total “4 What is the total number of women from the Democratic Party who served as US senators from 1789 through 2013? STOP If you finish before time is called, you may check your work on t From 1789 through 2013, of the women from only the Democratic Party who served as US senators, 345 have been from the South region. What is the total number of Democratic and Republican women, US senators who represented the Midwest in this time period? Do not turn to any other section. Unauthornd copying reuse of ay part of tips eg 49