Math Test - No Calculator 2SMINUTES, 20 QUESTIONS c=3n440 ‘The equation above gives the cost c, in dollars, of the materials and tools Kyla used to make n toy cars to sell at a craft fair. Ifthe cost of her materials and tools was S115, how many toy cars did Kyla make? A) 40 B)35 ©)30 D)25 ‘The graph of y = f(x) is the parabola shown in the -sy-plane, Iffla) = 0, what is the value of a ? Ao B)3 os D)9 Vx-7=7 ‘What value of x satisfies the given equation? Ayo B)I4 oa 1D) 56 The distance d, in feet, traveled by a falling object ¢ seconds after the object is dropped can be modeled by the equation d= 16t?. Which of the following expresses the number of seconds after the object is topped in terms of the distance traveled?A rental-company manager is supplying chaits and ‘umbrellas for a pool party that 90 guests will attend. The ‘manager will provide enough chaits for at least 2 of the guess and umbels fr at most 2 of he quests, were cach umbrella shades 3 guests. Which of the following systems represents the number of chairs, c, and the number of umbrellas, u, that the manager will provide for the party? ea) u> 20 vin B) ¢ 2 60 20 vu ce < 60 20 Win D) wy ‘The graph (not shown) of a linear function A, where y= ‘i(2), isa line completely contained in only quadrants 1 I Which of the following could define the function h ? AYN) = 3x43 B) h(x) = 3x ©) AG) = 3 Dy he) ‘The fmetion p is defined by p(i) = 2h + h*. If k>-2 and p(k) = p(-2), what is the value of k? Al BO ol D)2 The total volume of the water in the five Great Lakes is, 5,439 cubie miles. The lakes have volumes of 116 cubic miles, 393 cubic miles, $50 cubic miles, x cubic miles, ‘and y cubic miles, where x > y. Which of the following ‘equations represents the relationship between x andy? Ayeey 198 B)x-y= 4,080 Ort y= 6,798 Det 080‘A certain new car depreciates by 20% during each of its first 5 years of ownership. If Vo represents the value of the car when purchased and f represents the number of years since it was purchased, which of the following functions, V(0), ean be used to approximate the value of carfor0 <1 = 5? A) FO = Ve(0.20) B) Mia) = Vo(1.20)' C) Min = ¥(0.80)" D) VO) = Va(1.80)' In the ay=plane, a circle has center (0,0) and radius 2. Which of the following is an equation of this cirele ? A2e=;F=0 Byeaytaa Cet 2 +O +2? D) +2 +0 +2¥ Line J is shown in the xy-plane above. Which of the following is an equation of line !? ‘Triangle ABC is similar to triangle WAY (not shown), where ZC corresponds to ZY. What is the tangent of av A) 3v2 B)3 ol Ds2ax+1 x+3 Which of the following is equivalent to the given expression ? ay ) 42 »y 2% 43 o ttt 8 x-2 » x+3 Which of the following is an equation of the graph shown? A) B)y=341 Cy=2 Dyy-241 ‘The figure above represents a right circular cone with radius r and height k. A second right circular cone has 8 times the volume as the cone shown, Which of the following could be the dimensions of the second cone? (The volume of a cone with base radius r and height his, dah) A) Radius = 2r, height = 2h B) Radius = 2r, height = 44 ©) Radius = 4r, height =f D) Radius = 4r, height = 4h‘What value of x satisfies the equation above? (@x- De +5) ‘The given expression is equivalent toax? + bx +c, where a,b, and ¢ are constant, What is the value of b ? Bx4+5-4x=2@x+b) In the equation above, b is a constant. If the equation has infinitely many solutions, what is the value of b ? (2x—3y) = 22 (C4x + 5y) = 66 If (x, ») is the solution of the system above, what i value of y? t ig—t 4 What is one possible value of that satisfies the equation, above?Math Test - Calculator SSMINUTES, 38 QUESTIONS 1638 = 11 + 3x, what is the value of x ? Ayo B)13 ©)22 D)27 ‘A store charges $4.00 per pound for apricots. At this rate, what will the store charge for 2.5 pounds of apricots? A) $6.00 B) $8.00, ©) $10.00 D) $12.00 ‘A Messenger delivered 10 packages on Monday before 11 am, and 4 packages per hour after 11 a.m. In which of the following equations does p represent the total number of packages the messenger had delivered on Monday h hours after II a.m.? A)p=40h B)p=14h C)p-4~10h D)p=10+4h (&- D&- 2-3) =0 Which of the following is NOT a value of x that satisfies, the equation above? Ajo B)I Q2 D)3 The line graph below shows the percentage of US workers who walk to work based on census data collected in the years 1980, 1990, 2000, and 2010. tom 4 5 = 33 oe & a 3010 OF the following time periods, which had the greatest average yearly decrease in the percentage of workers who walk to work? A) 1980 to 2010 B) 1980 t0 1990 ©) 1990 to 2000 1D) 2000 to 2010‘The graph above shows the atmospheric pressure, in heciopascals (hPa), for a town in Australia over @ ‘T2-hour period, Based on the graph, which of the following statements is(are) true? 1. The minimum atmospheric pressure occurred during the first 24 hours of the time period. Il, The atmospheric pressure 36 hours into the time period was greater than the atmospheric pressure at the end of the time period. A) Neither [nor IL B) Lonly ©) Tonly D) Both I and It An object moves along a straight path away from a starting point. The distance y, in meters, of the object, from its starting point after x seconds is shown in the ‘raph below. Which of the following is true? A) The object traveled farther during the period 0 » ‘The seatterplot below shows the number of congressional representatives, x, and the population y, in thousands, for 25 of the 50 states in the United States. Which of the following could be an equation of a line of best fit for these data? A)y=-31 +716 B)y=-31-716x C)y=-31 + Te D)y=31-78 A sample of students was selected at random from all ninth-grade students in @ large school district. The proportion of the students in the sample who were 14 ‘years old was 80%, with an associated margin of error of 5%. Which of the following is NOT a plausible number of I4-yearolds in the 3,601 ninth-grade students in the school district? A)2,150 B) 2,900 ©)3,050 1D) 3,200 ss ‘The graph of a polynomial equation in the xy-plane contains the points (-1, 0), (2,0), and (3,0). Which of the following could be the equation of the graph? (x — 1)(x — 2)(x +3) + 1)*Gr = 2)(¢ = 3) In the system of equations above, m is a constant. If the system has more than one solution, what is the value ofpt Questions 18 and 19 refer to the following information. lS Cae io iz 4 16 18 2019 1930 oaaes The box plots above show the distribution of the average amount of energy used per person, in tons of oil ‘equivalent (toc), for 25 countries in 1990 and in 2010. Which of the following correctly compares the median and range of these distributions? A) The median in 2010 is greater than the median in 1990, and the range in 2010 is less than the range in 1990, B) The median in 2010 is greater than the median in 1990, and the range in 2010 is greater than the range in 1990, C) The median in 2010 is less than the median in 1990, and the range in 1990 is less than the range in 1990. D) The median in 2010 is less than the median in 1990, and the range in 2010 is greater than the range in 1990. The mean of the 1990 data set is 8.0 toe, and the mean of the 2010 data set is 7.5 toe. What is the percent decrease ofthe mean from 1990 to 2010? A) 05% B)S% ©) 6.25% D) 6.67% For the function J, if fe) equivalent to flz - 2)? 3z, which of the following is A) -32 B) 32-2 ©) 32-6 D) -32+6 The distribution of the number of days served in office by the first 43 presidents of the United States has a mean of approximately 1,900 days, The ninth president, William Henry Harrison, served only 31 days, the fewest, number of days as president, What would be the effect distribution if the number of days William Henry Harrison served is removed from the data? fon the mean of th A) The mean would decrease B) The mean would increase. ©) The mean would be unchanged. 1D) The effect on the mean cannot be determined,In the figure above, sides AB and AD of triangle ABD are extended to points C and E, respectively, If y = 72, what is the value of x? A) 104 B) 108 cuz D) 148 ‘The shaded region shown above represents the solution to which of the following systems of inequalities? Ay yx ys4 Dy y>x yea tame inane) Miranda jogged home from a friend’s house along a straight path without making any stops. The graph above gives Miranda’s distance D, in miles, from home as a function of the time ¢, in minutes, after she left her fiend’s house. Which of the following statements is true about Miranda’s jog home? A) Miranda's speed, in miles per minute, decreased at a ‘constant rate. B) After jogging for approximately 2.5 miles, Miranda ‘was 30 minutes from home. C) Miranda’s distance from home decreased at a constant rate of 12 miles per minute, D) Miranda’s distance fiom home decreased at a ‘constant rate of 1 mile per 12 minutes.‘A Polling agency conducted a survey about public opinion on ear-sharing services. The ageney surveyed a random sample of adult residents from three large cities jn the United States and reported that 73% support car-sharing services, with an associated margin of error of 4%, Based on the study design, what is the largest population to which these survey results can be generalized? A) All adult residents of the United States B) All adult residents of large cities in the United States ©) All idult residents of who support car-sharing D) All adult residents of the three large cities in the survey 2x-6 vax-6 Which of the following expressions is equivalent to the expression above for x > 5? ae 3x =6y +8 In the ap~plane, the graph of the following equations is perpendicular to the graph of the equation above? A data set consists of 50 positive values, and the mean of the data is m. A new data set is made by increasing each value in the original data set by 8 Which of the following represents the mean of the new data set in terms of m? Aym+8 B)m+50 8m D)8m+50 A music artist released a new album, The function models the weekly sales, in dollars, of the album x weeks since the first week of sales, The model predicts that each week the album will have 2% fower sales than the previous week. Which of the following could define f? A) flx) = 350(0.02)* B) lx) = 350(0.80)" ©)Ax) = 350(0.98)' D) fix) = 350(1.02)"‘Season | Number of birthdays Spring 5 Summer 4 ‘Autumn x Winter 7 The table above shows the number of birthdays in each of the four seasons for the students in a class. If 16 of the students” birthdays are in the summer or autumn, what is the value of x? xty=7 x-y=l If (x,y) is the solution to the system of eq what is the value of x? In rectangle ABCD above, AB = 2 and ED =1.75. If a point is selected at random from inside the reetangle, the probability that the point selected will be in the shaded region is 0.25. What isthe value of x?A right circular cylinder has a base area of 110 square inches and a volume of 1650 cubie inches. What is the height, in inches, of the cylinder ? At 1:00 p.m, the population of bacteria in 2 liquid ‘medium is 80 thousand, The population doubles every 40 minutes. will bem thousand, what is the value of 1? If the population at 5:00 p.m a ‘A class X cargo ship can hold a maximum of 18,000 standard containers. A class X cargo ship can hold 20% ‘more containers than a class Y cargo ship. How many more containers can 2 class X cargo ship hold than a class Y cargo ship? Questions 37 and 38 refer fo the following information. Instrument | Rented | Owned | Total Violin 8 12 | 20 Viola 3 5 | 10 Cello 6 2 8 Bass 5 1 6 Total 24 20 | The table above shows the number of each type of string instrument played at a high school orchestra concert and the number of each type owned of rented, ‘What fraction of the violins played at the concert were rented? And additional 4 cellos and x basses were played at 1 next concert, If the ratio of cellos to basses was the same for both concerts, what is the value of x?