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Math Test—No-Calculator 25 Minutes—20 Questions NO-CALCULATOR SECTION This section corresponds to Section 3 of your answer sheet. Directions: For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding oval on the answer sheet. You may use any available space for scratchwork. Notes: 1. Calculator use is NOT permitted. 2. All numbers used are real numbers, and all variables used represent real numbers, unless otherwise indicated. 3. Figures are drawn to scale and lie in a plane unless otherwise indicated. 4. Unless stated otherwise, the domain of any function fis assumed to be the set of all real numbers x, for which fx) is a real number. Information: r ts | 5 ‘ Bb G 2x, F sV2 wf th i Fal 0°. 4° 7 Aaw A=lw 7 i ws . C=2ar aeton caath Special Right Triangles Velwh Vearh ee =far y= par 2h # =ylwh The sum of the degree measures of the angles in a triangle is 180. Scanned with ce) CamScanner’ The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is 2n. y A 14 So 8 Cost (in dollars) Ny FD Cw x 2 4 6 8 10 Number of games 1. The graph above shows the amount that a new high-tech video arcade charges its customers. What could the y- intercept of this graph represent? A) The cost of playing 5 games B) The cost per game, which is $5 C) The entrance fee to enter the arcade D) The number of games that are played 3z_ . _6 a+5 * 42+20 A) 3 only B) -—3 only C) -—2 and 3 D) -3, -2, and 3 4(d+3)-9 _ 10—(2-d) 8 ~~ 6 5. In the equation above, what is the value of d? 23 A) i¢ B) 3 c) 2 pb) 3 Total Fertility Rate, 1960-2010 SO 3.4 3.2 3.0 2.8] ° 2.6 24 2.2 2.0 1.8 1.6 1.4 1.2 g 1960 1970 1980 1990 2000 2010 Year Live births per woman Source: Data from Eurostat. 6. One indicator of a declining economy is a continued decline in birth rates. In 2010, birth rates in Europe were Scanned with {3 CamScanner’: at an all-time low, with the average number of children that a woman has in her lifetime at well below two. In the figure above, f(t) represents birth rates for Portugal between 1960 and 2010, and 9o(¢t) represents birth rates in Slovakia for the same time period. For which value(s) of t is Rt) * g(t)? A) 1960 < t ‘ 1980 only B) 1980 “ t < 2000 only C) 1960 * t ‘ 1980 and 1990 < t < 2000 D) 1960 < tf ‘ 1980 and 2000 * t “ 2010 13 2 ll Number of whales (in hundreds) 9 7 5 . 3 1 1995 1998 2001 2004 2007 2010 Year . The blue whale is the largest creature in the world and has been found in every ocean in the world. A marine biologist surveyed the blue whale population in Monterey Bay, off the coast of California, every three years between 1995 and 2010. The figure above shows her results. If wis the number of blue whales present in Monterey Bay and ¢ is the number of years since the study began in 1995, which of the following equations best represents the blue whale population of Monterey Bay? A) w=100 + 2t B) w= 100+ Scanned with A) -4 B) -2 Cc) 2 D) 4 y A « > xX Vv 10. The graph above could represent which of the following equations? A) -6x-4y=5 B) -6x-4y=-5 C) -6x+4y=5 D) -6x+4y=-5 [ae—au= ka — 2y = 22 11. If the system of linear equations above has no solution, and kis a constant, what is the value of k? A) -F B) —4 C) 3 D) 4 12. In Delray Beach, Florida, you can take a luxury golf cart ride around downtown. The driver charges $4 for the first + mile, plus $1.50 for each additional $ mile. Which inequality represents the number of miles, m, that you could ride and pay no more than $10? A) 3.25 +1.5m< 10 B) 3.25+3ms10 C)4+1.5ms10 D) 4+3ms10 | Scanned with = | | CamScanner’: C) The time it takes the older treatment plant to filter + of the water in the reservoir D) The portion of the water the new treatment plant can filter in 4 hours Directions: For questions 16-20, enter your responses into the appropriate grid on your answer sheet, in accordance with the following: 1. You will receive credit only if the circles are filled in correctly, but you may write your answers in the boxes above each grid to help you fill in the circles accurately. 2. Don’t mark more than one circle per column. 3. None of the questions with Grid-in responses will have a negative solution. 4. Only grid in a single answer, even if there is more than one correct answer to a given question. 5. Amixed number must be gridded as a decimal or an improper fraction. For example, you would grid 74 as 7.5 or 15/2. 7/1) //2 (Were you to grid it as Ol@!_| this response would be read as oo) 6. A decimal that has more digits than there are places on the grid may be either rounded or truncated, but every column in the grid must be filled in order to receive credit. 0| QOO©LSLOG®e} » SQOO2OO@ 6) = »SQO0©00eG a ‘| @| ©20009 +— Decimal OO@#QQOOEOHOE®E) ; PLGdeceeee6) D Ce) 5 Q) ie) OOLOGQOLOEHLE) OOCOOeS, Answer: 3.2 5 9 5 6) JOOLEO©OOGQOO) ClewIalex Io} IIOIOIONCISIETS) @|_ 280009 |s— Fraction 2| QOOLOQQO©OG® ~1BQOO0LOLQQ©OLO2E) »“SQOO©OOLLHE©O©O® fine Acceptable ways to grid WW (©) MEIOISIOICISIENS) OPQOQOOEOOEE) O@QOOQ©OLOE) Answer: OOLOQOOLO® JOO@OOOOOGOS ( |_|e DIQ!O!O) (IOIOION ONSET) EXSIOCISISIOICNCY IS}} =) EVNSIOCEIOIISIOICIS)| Write answer —-[5]7]1]1 in boxes. 7 lO O©0LOQOOOQCE) XEIIOISIOY X53} 200000068) OOQOOOOE| OQ 08082666) t Answer: 706 Either position is correct. 6 6) <9 < 18 Grid in result. 0 iQ (e) 7 1D 6) aie 8 is 2x — 3y @+ 3y inequalities shown above and a = 6, what is the minimum possible value for 6? 17. If (a, 6) is a point in the solution region for the system of 16. Iftc =6§- $Y; what is the value of x + 2y? Scanned with | CamScanner’: Math Test—Calculator 55 Minutes—38 Questions CALCULATOR SECTION This section corresponds to Section 4 of your answer sheet. Directions: For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding oval on the answer sheet. You may use any available space for scratchwork. Notes: 1. Calculator use is permitted. 2. All numbers used are real numbers, and all variables used represent real numbers, unless otherwise indicated. 3. Figures are drawn to scale and lie in a plane unless otherwise indicated. 4. Unless stated otherwise, the domain of any function fis assumed to be the set of all real numbers x, for which fx) is a real number. Information: r L f F é ay OS w / th aa 4 So 455 a s A=nr aah 5 fe xv3 ; C=2ar A= 4h Cxat he Special Right Triangles h V=lwh V =arth Veta Vetarh vetiwh m 3° 3° 3 The sum of the degree measures of the angles in a triangle is 180. The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is 2n. 1. Oceans, seas, and bays represent about 96.5 percent of Earth’s water, including the water found in our atmosphere. If the volume of the water contained in oceans, seas, and bays is about 321,000,000 cubic miles, which of the following best represents the approximate volume, in cubic miles, of all the world’s water? A) 308,160,000 B) 309,765,000 C) 332,642,000 D) 334,375,000 2. An electrician charges a one-time site visit fee to evaluate a potential job. If the electrician accepts the job, he charges an hourly rate plus the cost of any materials needed to complete the job. The electrician also charges for tax, but only on the cost of the materials. If the total cost of completing a job that takes A hours is given by the Scanned with 4 \] 4 * 4. Each of the following quadratic equations represents the graph shown above. Which equation reveals the exact values of the x-intercepts of the graph? A) y= 4(22 —5)(a +1) B) i= $2-—3 Ch yt ie b= (e—4) D) y+ (e- 3)’- # Scanned with | CamScanner’: National Government Concerns Foreign 5. Margo surveyed all the students in the government classes at her school to see what they thought should be the most important concern of a national government. The results of the survey are shown in the figure above. If the ratio of students who answered “Foreign Policy” to those who answered “Environment” was 5:3, what percentage of the students answered “Environment”? A) 16% B) 21% C) 24% D) 35% Scanned with A) A gallon of gas cost more in 2008 than in 2013. B) The price more than doubled between 2003 and 2013. C) The drop in price from 2008 to 2009 was more than $1.00 per gallon. D) The overall change in price was greater between 2003 and 2008 than it was between 2008 and 2013. —22 + 5y=1 Tz = 10y= —11 . If (x, y) is a solution to the system of equations above, what is the sum of x and y? 137 A) —-30° B) -4 c) -2 D) -3 . Avoltage divider is a simple circuit that converts a large voltage into a smaller one. The figure above shows a voltage divider that consists of two resistors that together have a total resistance of 294 ohms. To produce the desired voltage of 330 volts, Ry must be 6 ohms less than Scanned with 10. 11. twice R,. Solving which of the following systems of equations gives the individual resistances for Ry and R2? Ro = 2Ri — {a4 Ren one Ri = 2R.+6 | et mn oes Ry = 2R, —6 ° {mime ae D) { R, = 2R,.+6 Ri + Re = 330(294) lf 2 (5x) + 2(a + 1) = 4(x + 1) — 2, what is the value of x? A) x=-2 B) x=2 C) There is no value of x for which the equation is true. D) There are infinitely many values of x for which the equation is true. Crude oil is being transferred from a full rectangular storage container with dimensions 4 meters by 9 meters by 10 meters into a cylindrical transportation container that has a diameter of 6 meters. What is the minimum possible length for a transportation container that will hold all of the oil? A) 40n 40 B) 42 C) 60n 1 Scanned with ac} CamScanner’: 
