2 Module 2 Math 27 QUESTIONS Pomecrions] The questions inthis section address a member of important math sks Use of caeslatoris pemitted far alquestons, Unessothenice nde + Alaris ad expressions represent eal numbers + Fgwes povided arecrawnto sae + Alsgurestteina pane + Thedorin of given function fs the set of areal numbers for which) Vath Verth The numberof degrees of arcin a crcl 360, ‘The numberof radians farina cic is2, The sum of the measures in degrees ofthe anges ofa triangle 180. mnt oney cman eyptar tee 30 >2 ‘What 10% of 4702 as By a7 oa D) 480 ‘Which equation hasthe same sclution asthe given exiation? A) 4x = 108, B) ax=24 OQ 4r=2 Dy axes “The total contin dolar, w tent surfboard conits of $25 service fee and a $10 per hour ren fee. person tent asutboard for hours and inends 0 spend a maximum of $75 to rert the wurfbcad, Which inequaity represents this situation? Ay tors 75 B) 10 4251 <75 ©) 250s 75, b) 25 410rs 75 Module 2 ‘Thefanctiong iedefined by (x) which alueof «i g(x) 35 a8 pas Each fice ofa fair sided dis labeled with a number fom I trough 1, ith differen number {ppeatng on each face If thedieisolleg one ime, what the probability of ralinga 2” ad u ad b A printer products posters ata constant te of ‘2iposters per minute. At what rate n posters pet hout, does the printer preduce he posters? Ei!Module 2 1 “Thefuncton fs defined bs the uation {ls} = 74+ 2. Whatisthevalueot f(s) when kaa? A teachers cresting an assignment worth 70 point ‘Theassigament wil consistot questions wort, 1 print and questions worth 3 pints. Which ‘custon represent tis station where x epreseats the aumber of -poin questions and yepresnts the hunber of pint questions! A) by B) alesy ©) ax+y=70 by x+3y=70 igh ranges MN and FQR ae and coirespond toP and Q, respectively. Angle Mt haga measure of 53, Whatis the measure ot ange Q? aya B) 33° ©) p) a3 here Z 2 yee aeey=i5 ‘The solution to the given systera of equations fa(4,y) Whatiethe value of «? aja BS Dj 4s 4 i Which ofthe following equations ie the moet ‘appropiate linear model forthe data shown inthe satel? Al y=-19r— 101 B) y=-19x+ 101 C) y= 19-101 D) y= toes 101“Thegraph of y= fl) issbown, where the function fle detinedby fl) ~ acd s box od anda, , andd are constants For haw many vals of: does f(x) = 07 8) one 3) Two ©) Three D) Four ‘Vivian bought party Bate and cupcakos for S71. ash package of party hatscost $3, an each cupeake cst 51. Vivian bought 10 packages of pasty ais, how many cupeakesdid she buy? tad pyre oa pcp tg Module 2 Pee ‘Whats oneof the solutions tthe given equation? actra are growing ina liquid growth medium, ‘There were 300,00 cal per milter ding on ‘ital observation, Theme of cells per milter oubles every 3 hows: low many sls or maiiter val here be 1 hours ater the inital observation? A) 1,300,000 5) 2.400.000 ©) 4300,000 ) 900,000 Which expression is eqaivalent to y+ 12sty2 2 A) oyFcae) ® ory" ©) «yh 43) D) ay at)2 A neighborhood consist ofa 2-hectar parkand a 5rhecare esdentn area. The total numberof tees in the neighborbood is 3934. The equation 2+ 35y = 394 represent thissituaton. Which of the following isthe best interpretation of x inthis A) The overage munber oftecesper hectare thepuk ‘The sverage number of teesperhectarein theresidenial area ‘The total numberof tees in the park “The total mamber of tees in the resident asa 3) ° >) Module a5 1 * bo 0 "10°20 30 a) 50 6570" 80 90 105" coup ‘The graph shows the relationship between the ‘numberof shares of stock from Company As and the numberof shares of sock fiom Company By {Hat Simone an purchase Which eqnation coule represen this relationship? A) y=ae22 1) x= 1ay= 490 ©) y=Re+s D) 12x y= 480 Giele 4 has radius of n and cick has radius ‘(129m where iea postive constant. The arcaat ‘iele Bis how mary times thearea of citce A? aa Bas © 129 D) 18)Data valu] Frequency 7 3 ° 5 UL 1 ra ° re a 4 6 “The frequency table summarizes the 57 data values in 4 date et, What isthe maximum dita value inthe dataset? a ‘A circle in the ay-plane has adiamster with endpoints (2,4) and (2 14) An equation of tis cleceis (c-2) + (1-9)? = 7? where risa positive constant. What ithe value ofr 2 Module 2 Themeaue fang Ris ans Themasee eta Tis rads peerthn ems angle R.Whatis the measure of angle Tin depres? Ay 75 B) 120 ©) 195 D) 390 A.certaintown has an areaof 4.1 squae miles, ‘Whats the area, n square yards ofthis town? (nile =1,760 yard) A) 404 B) 7674 ©) 70459 D) 135155362 “A 2 ia 139 raf i as| 175 For line h the tube shows thee values of x and thir corresponding values fy. Line Kis theesulof trandating ine down 5 uaits inthe a-plane. What isthe x-intercept ofline 8) o 4. D) 7 Inthe x-plar,thegraphaf th equation y= 1 6 94 100imtenectstheline y= at ‘eel one pot. What ithe vale oc? aa ») 10 6 28 Daaes ay 1s + 15y = 35, For eich tel number which ofthe fling points ies en the graphof each equation in the ‘p-plane forthe ven tem? Module 2 1 iangleis 624 centimeter The eight ofthis triangle is JF centimeter, where h sa constant Wht i the STOP Ifyou finish before timeis called, you may check your work on this module only. Do not tun to any other module in the test. 382 “" 2 Math 27 QUESTIONS The questions inthis section addressa number f important math kil Use of caeslatoris permitted for al questions. Unlessothervice indicate + Allyariables and expressions represent eal numbers. + Figures provide are dawnto sce + Allfgurestie ina pace + Thedoenin of given function fs the st of leat numbers xf which ft) Isaveatnumbe. tong : ‘ f aa, 5 Aeat anton 8 Sil igh ranges e@ A q JS The numberof degrees of arc ina cite 300, ‘The numberofradiansofarcina cee i 2 The sum of he messuresin degrees of theanoles of a triangles 180. une oebisi 0 Em!2 Module 2 “ily earns p dolar for every w hours of work Which expression eprsentthe amount of mney, in dalars Tilly ears for 39¥ hours of work? A) Bp yt » ©) p+39 D) 7-39 For atraining programs oan rieshis bike at on average rate of 37 minutes per mie. Which function m models the nsmier of minutes il take Juan o ride xmas at this rater A) ms) , 57 B) w(x) = 8457 ©) mis) = 4-87 D) m(x) = $7 teandepyngran tire tg a cacy The solution tothe given sstemof equations 1s (x yh What the ale of y? ya 36 ©) 8 D) 30 ses The equation gives the speed sin miles per hour, of sscertaincar (econds after i egen tact ‘Whats the speed, inmiles per hour, othe ar Secondo alter began to wselerate? a) 40 3) 8 o« D5Note: Figure net drawn to sale. Forthe righ tingle shown, a = and b Which expression rpresets the valu of ¢? Aas 3) Jy py) Veee was s ‘What isthe solution othe given equstion? a 2 HA ‘ Vy + Vy . ate te ta tte The rintercepta te grap shown i 0) Whats thevwaluect x? The fnetion fi defined by f(s) = fate yimercep ofthe graph ofy = f(a) inthe a © fod > oro »2 ‘Thefuncion fis defined by f(a) = 7°.tnthe sy-plane.the gaph of y = g(x) is theresukof siting the graph of, equation defines function ¢? f(s) doen 2 units. Which wad & gi)= 70 ©) gaya nese D) ga) = 7" (et ‘Which onered par (xy) a solution to the given system of equations? A) 3.100) ») G3) 2 B10) D) (3.70) Module 2 Which expression ie equivalent to (724 +70) (6x 3x) ? A) Sate B) “180 + 10x b) sds The fanction p i defined by pt) What eho value of when pln) is equal to 562 aya 8)Lio, [Note Figue not rawr to sce, Inthe figure shown, lite c intersects parallel lines s and What ee vale of 3? Atstof Lo daa valuesis shown, 6.8.16, 417. 26.8,5.5.5 ‘What isthe meas ofthese dats? Module 2 Theequation Ft) =5(1.87 give the estinuted sunber of employees ata umber af yee since the restarant opened. Which ofthe flowing is the bestnterpetation of he umber Sin this contest? taurant where isthe A) The esti name of employees when the restaurantopened 'B) ‘The ncreae in the estmated number of employeeseach year ©) The numer of years the resaurart has been pen 1D) The perceat increase in the estimated nemberof cmpbyesseach o gays ‘Whats the minimum vale ofthe given function? Ao B) 35 D) 3.0252 ‘Each yer, the value ofan investsen incrast by (0-49 of its value the previous yer. Which ofthe following functions best models bow the value of the Jnvestment changes over ime? A) Decreasing exponential B) Decreasing linear ©) increasing exponential D) Increasing linear “The population of Greenvill incrasedby 7% fom 2015%0 2016, the 2016 population is & tunes the 2015 population, vhat isthe value afk? A) wor By 07 ©) 107 D) 7 Which exresion is equivalent toa? 4 ie » ae o WE pb We auncncepyngr ample tg Module 2 An event planner planning party. It costs the event planer aanstime foe of §35 to ent the enue and $10.25 per attendee The event planner has a Doudgetof $290, What athe gesest univer of attendees posible without exceeding the budget? U}4x~4] = 12, va athe positive vale of x= 1? Acubehas an edge lng of 68 inches. solid Sphere with aradis of finches i inside the cabe, Such tat th sphere touches the center of each face tthe cube, Tothe nears cubic inch, what isthe ‘lume of the space inthe cube not taken up by the there! a) 149796 B) 64500 190.955 ) 3108002 What isthe diameter of the cre inthe a-plane With equation (e- 5? + 3) = 16 7 aa Be 16 D) 32 Forthe exponential function fhe vue of f(1) isk where kis a constrt. Which ofthe following equivalest forms ofthe function f shows the vale of Favthe coeticent or the base? A) fs)= sai"! B) fix) = 8011.6)" ©) fix)= 6) D) fle) = 200805) Module 2 ‘A made eimates that atthe end ofeach yer from 2015 to 2020, the nutter of quttels aa popdation was 10% morethan the numberof quarts nthe population tthe end ofthe previus year The modelestinates tat athe end of 2016, {here were 180 sjuitrds in the population. Which of the flowing equations represents this mod, where tis the estimated nunber of squrreln the population r years after theend of 2015 andes 5? Ay e=n0sy B) r= 725) ©) = 1005! D) = 1002572 Leva 2 12} a srey=1 wosese=0 Inthe given equaticn, cia corstant. The equation Ihr no el slutons ic >, What he sat In the given pairof equations, a and b ae constants poniblevalucof Te graph of thispair of equations inthe x-plane Pesiblevalueof pairof perpendicular lines, Which of tae folowing pairsof equations alsorepreents pair af perpendicdar lines? art by=1 STOP If you finish before time is called, you may check your workon this module only. Do not turn to any other module in the test. auton anal pe 48