MATH 1730 Precalculus Final Exam Review MULTIPLE
MATH 1730 Precalculus Final Exam ReviewNameMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Solve the problem.1) A local race for charity has taken place since 1993. In 1993, the winning speed was 5 miles per hour.The winning speed increased, on average, by 0.16 miles per hour each year in the period 1993-1998.If this trend continues, in which year is the winning speed predicted to be 6.6 mph?A) 2003B) 2004C) 2002D) 2005Write the standard form of the equation of the circle with the given center and radius.2) (0, -6); 3A) (x 6)2 y2 9B) (x - 6)2 y2 9C) x2 (y - 6)2 3D) x2 (y 6)2 3Use the graph to determine the function's domain and range.3)A) domain: [0, )range: (- , )B) domain: (- , )range: [-1, )1)2)3)C) domain: [0, )range: [0, )Evaluate the function at the given value of the independent variable and simplify.4) f(x) 4x2 2x 6; f(x - 1)A) 4x2 - 6x 8B) 4x2 26x 12C) 4x2 - 6x 12D) domain: [0, )range: [-1, )D) -6x2 4x 84)Compute the average rate of change of f from x 1 to x 2. Round your answer to two decimal places whenappropriate. Interpret your result graphically.5) f(x) x3 - 4x, x1 2 and x2 4A) 24; the slope of the line passing through (2, f(2)) and (4, f(4)) is 24.B) -24; the slope of the line passing through (2, f(2)) and (4, f(4)) is -24.C) -8; the slope of the line passing through (2, f(2)) and (4, f(4)) is -8.D) 8; the slope of the line passing through (2, f(2)) and (4, f(4)) is 8.15)
Specify the domain of the function.x 56) f(x) (x 1)(x - 6)6)A) All real numbersC) x 0B) xD) x-5, x -1, x-5, x -1, x66Identify where f is increasing or where f is decreasing, as indicated. Round your answer to two decimal places whenappropriate.7) f(x) -6x2 12x - 4; decreasing7)A) (- , -1]B) [-1, )C) [1, )D) (- ,1]Begin by graphing the standard quadratic function f(x) x 2 . Then use transformations of this graph to graph the givenfunction.8) h(x) (x - 5)2 38)A)B)C)D)2
Begin by graphing the standard absolute value function f(x) x . Then use transformations of this graph to graph thegiven function.9) h(x) - x 59)A)B)C)D)3
Begin by graphing the standard cubic function f(x) x 3. Then use transformations of this graph to graph the givenfunction.10) g(x) -(x - 5)3 - 210)A)B)C)D)For the given functions f and g , find the indicated composition.x-4,g(x) 5x 411) f(x) 5(g f)(x)A) xB) x -45C) x 811)D) 5x 16Find the domain of the function.x12)x-4A) [4, )12)B) (- , )C) (4, )4D) (- , 4)(4, )
13) f(x) 14 x-2 x 613)A) (- , -6) (-6, )C) (- , 2) (2, )B) (- , )D) (- , -6)(-6, 2)(2, )Find the inverse of the one-to-one function.14) f(x) (x 3)3A) f-1 (x) C) f-1 (x) 314)x-3B) f-1 (x) x-3D) f-1 (x) 33x 3x - 27Use the graph of f to draw the graph of its inverse function.15)15)A)B)Solve the problem.16) A car rental agency charges 150 per week plus 0.45 per mile to rent a car. Express the weekly costto rent the car, f, as a function of the number of miles driven during the week, x.A) f(x) 0.45x - 150B) f(x) 150x 0.45C) f(x) 150.45D) f(x) 0.45x 150516)
17) The following table gives the outside temperature in degrees Fahrenheit on a winter day in DeathValley, California.17)Time 7:00 am 8:00 am 9:00 am 10:00 am 11:00 amTemperature ( F)7682838993Calculate the average rate of change in temperature between 8:00 am and 11:00 am. Round youranswer to two decimal places when appropriate.A) 4.70 FB) 3.67 FC) 3.98 FD) 2.60 FWrite the slope-intercept form of the equation for the line passing through the given pair of points.18) (4, 0) and (6, 9)4499A) y - x 17B) y x 17C) y x - 18D) y - x - 183322Use the graph and formula for f(x) to find the average rates of change of f from -4 to -1 and from 1 to 4.19) y -0.4x2 3A) -2; 2B) -2; -2Find and simplify the difference quotientC) 2; -219)D) 2; 2f(x h) - f(x), h 0 for the given function.h20) f(x) x2 9x - 720)A) 2x h 9C)18)B) 2x h - 72x2 2x 2xh h 2 h - 14hD) 1Evaluate the piecewise function at the given value of the independent variable.if x -2 ; f(-6)21) f(x) x 3-(x 3) if x -2A) 18B) -3C) 3Graph the function.621)D) -6
x 522) f(x) -4-x 5if -8 x 2if x 2if x 222)A)B)C)D)7
Use the graph of the given function to find any relative maxima and relative minima.23) f(x) x3 - 12x 223)A) no maximum or minimumB) maximum: (-2, 18) and (0, 0); minimum: (2, -14)C) minimum: (2, -14); maximum: (-2, 18)D) maximum: (2, -14); minimum: (-2, 18)Identify the intervals where the function is changing as requested.24) IncreasingA) (0, 3)B) (-1, 0)C) (- , 0)Identify all of the given graphs that illustrate the specified characteristics.824)D) (- , -1)
25) Characteristics: Has both positive and negative rates of change.IIIIIIIV925)
A) Graph IC) Graphs III and IVB) Graph I and IID) Graph IIIRepresent the function by way of a graph.26) The total cost in dollars of a taxi ride is given by the function f(x) .65x 3, where x is the numberof miles driven.Graph f in [0,10,1] by [0,10,1].A)B)1026)
C)D)Make a scatterplot of the relation.27) {(5, 4),(-6, -1),(-5, -8),(-8, -4),(1, 4),(2, -1),(1, -10),(9, 2),(-4, -3),(-2, -4)}A)B)1127)
C)D)Identify where f is increasing and where f is decreasing.28) f(x) x - 4A) increasing: ( , 4]; decreasing: [4, )C) increasing: ( , -4]; decreasing: [-4, )B) increasing: [4, ); decreasing: ( , 4]D) increasing: [-4, ); decreasing: ( , -4]Find an equation of the line satisfying the following conditions.If possible, write the equation in slope-intercept form.29) y-intercept -2, x-intercept 5222A) y - x - 2B) y x 2C) y x - 25555D) y x - 22Determine the equation of the line described. Put the answer in the slope-intercept form, if possible.30) Through (-7, 2), parallel to -7x 3y 6132755761755A) y x B) y x C) y x D) y - x 77333333Rationalize the denominator.231)13 3A)3 26 13 39228)29)30)31)B)26 - 3 216C)26 3 24Perform the operation and write the result in the standard form.32) (-9 16i) - (5 - 3i)A) 4 - 19iB) -4 - 19iC) -14 - 19iD)26 - 3 24D) -14 19i33) (5 - 3i)(2 6i)A) 28 - 24iB) -8 - 36iC) 28 24iD) -18i2 24i - 1034) (6 4i)2A) 52 - 48iB) 52 48iC) 20 - 48iD) 20 48i1232)33)34)
Write the conjugate z of the complex number z. Then find zz.35) z 8 - 3iA) z 8 3i, zz 64 - 9iB) z 8 3i, zz 64 - 9i2C) z 8 3i, zz 55D) z 8 3i, zz 7335)Write the quotient in the standard form.7i36)5 iA)735i26 26B) -36)735 i26 26C)735 i26 26D)735 i24 24Find the discriminant and determine the number and type of roots of the equation.37) x2 - 6x 8 0A) D 4, two unequal complex rootsB) D 4, two real unequal rootsC) D 0, one real rootD) D -68, two unequal complex roots38) 36x2 - 12x 1 0A) D 0, one real rootC) D 72, one real rootB) D -72, two unequal complex rootsD) D 72, two real unequal rootsSolve the problem.39) The length of a rectangular storage room is 7 feet longer than its width. If the area of the room is 98square feet, find its dimensions.A) 6 ft by 15 ftB) 8 ft by 15 ftC) 6 ft by 13 ftD) 7 ft by 14 ft40) A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in tseconds is given by s(t) -16t2 139t . At what time or times will the ball be 226 ft from theground? Round your answer to the nearest tenth, if necessary.A) 2.2 and 6.5 secB) 135.1 and 142.9 secC) 4.3 secD) 8.7 secSolve the equation.41) (5x - 5)2/3 - 3 13A)42)6952x 3 - x 1 1A) {-3, -1}B) -59 69,5 5C) -B) {3}11 21,5 5C) {-1, 3}D) -595D)Solve the problem.43) An airplane leaves Los Angeles for Denver at a speed of 440 mph. Thirty minutes later, a planegoing from Denver to Los Angeles leaves Denver, which is 850 miles from Los Angeles, at a speedof 510 mph. When they meet, how far are they from Denver?A) 338 miB) 297 miC) 59 miD) 119 mi1337)38)39)40)41)42)43)
Use the given conditions to find an equation in slope-intercept form of each of the nonvertical lines. Write vertical linesin the form x h.644) m - ; y-intercept 244)7A) y -6x 27B) y 6x 27C) y 6x-27D) y -6x-27Find the equation that the given graph represents.45)45)A) f(x) -3x3 - 10x2 5x 12C) f(x) 3x2 - 5x 12B) f(x) x4 - 2x2 - 3x 12D) f(x) 2x3 - 12x2 - 5x - 1246)46)A) f(x) (x 6)4C) f(x) -x4 3x2 6B) f(x) x4 - 3x2 6D) f(x) -x3 - 6x2 - x 6Determine the end behavior of the polynomial function.47) f(x) (x - 5)(x - 2)(x - 1)3A) yas xand yas xC) yas xand yas x48) f(x) -x2(x - 5)(x 4)A) yas xand yC) yas xand yB) yD) yas xas xB) yD) yGraph the function.14as xas xas xas xand yand yand yand yas xas xas xas x47)48)
49) f(x) (x 1)2 (x2 - 25)49)A)B)C)D)15
Use the graph of the rational function f(x) to complete the statement.50) As x 2 , f(x)A) -B) 0C) 51) The equations of the vertical asymptotes areA) x 2, x 550)andB) x 5, x -5C) x -2, x 516D) 251).D) x 2, x -2
Match the rational function with the appropriate graph.1852) f(x) 2x 952)A)B)C)D)Evaluate the exponential function for the given value.53) f(x) 6(1-x), f(3)1A)B) -121254) f(x) 4 - 3 -x, f(2)37A)91B)3D) 362C)335D)9Find the exponential function of the given form that contains the given point(s).55) Form: f(x) c · a xPoints: (0, 5) and (2, 20)A) f(x) 5 · 2 xB) f(x) 2C) f(x) 10xGraph the function.1753)1C)3654)55)D) f(x) 2x
56) f(x) 1 x256)A)B)C)D)18
57) f(x) 3(x 3) - 357)A)B)C)D)Solve the equation for x by first rewriting both sides as powers of the same base.158) 3(6 - 3x) 27A) 3B) -3C) 958)D)19Solve the problem.59) The number of bacteria growing in an incubation culture increases with time according ton(t) 5200(5)t, where t is time in days. After how many days will the number of bacteria in theculture be 650,000?A) 10 daysB) 1 dayC) 6 days19D) 3 days59)
60) A box contains a radioactive substance. The number of kilograms r(t) at time t years is given by theformula r(t) 2 -0.002588t. How long will it take until only one-half kilogram of the radioactivesubstance is left in the box?A) 3863.99 yrB) 772.80 yrC) 386.40 yrD) 193.20 yrFind the simple interest and amount for the value of principal P, rate r per year, and time t.61) P 6000, r 9%, t 4 yearsA) 2160, 3840B) 21,600, 27,600C) 2160, 8160D) 216, 621660)61)Use the compound interest formula to determine the interest earned in the given period.62) P 4280 at 8.5% compounded monthly for 6 yearsA) 7114.64B) 11,394.64C) 2834.64D) 7504.6262)Find the principal P that will generate the given future value A.63) A 10,000 at 6% compounded continuously for 8 years.A) 6187.83B) 16,160.74C) 9417.6563)20D) 6209.93
Graph the function.64) f(x) ex - 964)A)B)C)D)21
Start with the graph of y e x.a) Describe a sequence of transformations that results in the graph of y f(x);b) Find the range of f(x);c) Find the horizontal asymptote of the graph of f.65) f(x) e5x - 5A) a) The graph of y ex is compressed horizontally by a factor of 5 and shifted down five units.b) (-5, )c) y -51B) a) The graph of y ex is stretched horizontally by a factor of and shifted up five units.5b) (5, )c) y 5C) a) The graph of y ex is compressed horizontally by a factor of65)1and shifted down five units.5b) (-5, )c) y -51D) a) The graph of y ex is compressed vertically by a factor of and shifted down five units.5b) (-5, )c) y -5Solve the problem.66) Susan purchased a painting in the year 2000 for 5000. Assuming an exponential rate of inflation of3.1% per year, how much will the painting be worth 5 years later?A) 9176.03B) 4891.02C) 7812.90D) 5838.2967) A bacterial culture has an initial population of 10,000. If its population declines to 7000 in 2 hours,what will it be at the end of 4 hours? Assume that the population decreases according to theexponential model.A) 1500B) 4900C) 2450D) 9031Convert to a logarithmic equation.68) 161/2 41A) log 416269) 100.9542 9A) 9 log10 0.9542Convert to an exponential equation.70) log4 64 tA) t4 6471) ln 42 3.7377A) e3.7377 ln 4266)67)68)1B) 4 log16 21C) log 1642D) 4 logB) 0.9542 log9 10C) 10 log9 0.9542D) 0.9542 log10 9B) 4t 64C) 64t1/21669)70)B) e3.7377 1 4C) e3.7377 4222D) 464 tD) e42 3.737771)
Evaluate the expression without a calculator.72) log22 22A) 272)1C)2B) - 2Solve the logarithmic equation.73) log3 (9x - 6) 2A)74) log27158x-2 1D) 273)B) 6C)log32 69D)5313A) 1174)B) 387,420,491C) 7D) 142.296115Find the domain and the vertical asymptote of the function.75) g(x) ln (x - 4)A) Domain: (-4, ); vertical asymptote: x -4B) Domain: (4, ); vertical asymptote: x 4C) Domain: (- , ); vertical asymptote: noneD) Domain: (0, ); vertical asymptote: x 075)Evaluate.576) Given that loga 5 1.609, and loga 7 1.946, find loga .7A) 3.555B) 0.336C) 0.82777) Let log b A 3.359 and log b B 0.199. Find log b AB.A) 16.837B) 3.55878) Given that log x 3 and log y 6, find log xy4 .A) 27B) 388876)D) -0.33777)C) 3.159D) 0.670C) 72D) 36Write the expression in expanded form.x4 y279) logbz778)79)A) 2 logbx · logby 7logbz2B) 2 logbx - logby C) 2 logbx logby -7logbz2D) 2 logbx 2 logby - 7 logbz237logbz2
x 4(5x 2)5x3 3(x - 3)-2 (x 5)580) ln80)A) 4 ln x 5 ln(5x 2) -1ln(x3 3) - 2 ln(x - 3) 5 ln(x 5)2B) 4 ln x 5 ln(5x 2) -1ln(x3 3) 2 ln(x - 3) - 5 ln(x 5)2C) ln(x4 (5x 2)5) - ln( x3 3(x - 3)-2(x 5)5)D) ln x4 ln(5x 2)5 - ln x 3 3 ln(x - 3)2 - ln(x 5)5Write the expression in condensed form.81) ln x - 3[4ln (x - 4) - ln (x 4)]x(x - 4)3x(x 4)3A) lnB) ln4(x 4)(x - 4)12x3 - 5 ln15x4A) ln8y582) 4 ln5y4B) lnC) lnx6C) lny4x(x 4)4(x - 4)34x3/25 y4/5Use the change-of-base formula and a calculator to evaluate each logarithm.83) log8 18.06A) 0.7186B) 1.2567C) 2.2575Find the value of the expression without using a calculator.84) log 20 log50A) 1000B) 1C) 3D) lnx(x 4)4(x - 4)482)D) ln(x6 - y4 )83)D) 1.3916D) 10Solve the problem.85) Find the exponential function of the form f(x) aebx that passes through the points (0, 3) and (3, 9).A) f(x) 3e(3 ln 3)xB) f(x) 3e[-(ln 3)/3]xC) f(x) 3e[(ln 3)/3]x88)B) 2C) 0D) 31log (x 8) -1 05A) 100,00884)85)D) f(x) 3e[(ln (1/3))/3]x86) A certain radioactive isotope has a half-life of approximately 1600 years. How many years to thenearest year would be required for a given amount of this isotope to decay to 25% of that amount?A) 3200 yrB) 3175 yrC) 664 yrD) 1200 yrSolve the equation.87) 4(x - 2) 1A) 681)86)87)88)B) 99,992C) -324D) 999,992
Solve the exponential equation and approximate the result, correct to three decimal places.89) ex e-x 4A) 0.9115, -1.7224B) 1.4436, -1.4436C) 1.297, -1.0739D) 1.317, -1.31790) 5(3x - 1) 24A) 0.992B) 1.933C) 0.856D) 0.32591) 4 · 3 x - 2 13A) 0.921B) 1.090C) 1.203D) 1.50992) 32x - 4 · 3 x 21A) 1.771B) 0.254C) 1.000Solve the logarithmic equation.93) log6 (6x - 5) 3A)2216C)94) log4 (x 8) log4(x - 8) 3D)log63 56D)221894)B) 8 292 aekxwith f(0) 3 and f(1) C)643D)25941. Find f(2).395)96)A) a 1, k ln 19 , f(2) 0.025C) a 1, k ln 17 , f(2) 0.031B) a -b , k ln 25 , f(2) 0.014D) a 1, k ln 25 , f(2) 0.014Solve the problem.97) The energy E (measured in joules) released by an earthquake of magnitude M on the Richter scaleIm logis given by the equation log E 4.4 1.5M. Suppose an earthquake registers 5.7 on theI0Richter scale. Let I0 1. What is the intensity of the earthquake?A) I 1012.9591)92)Find a and k and then evaluate the function. Round your answer to three decimal places when necessary.95) Let f(x) 10 a(2kx) with f(0) 60 and f(1) 410. Find f(2).A) a 50, k 3, f(2) 3200B) a 50, k 3, f(2) 3210C) a 5, k 3, f(2) 330D) a 50, k 3, f(2) 7496) f(x) 90)93)B) 215A) 12889)B) I 5.710C) I 12.951097)D) I 105.7The given angle is in standard position. Determine the quadrant in which the angle lies.98) -349 A) Quadrant IIB) Quadrant IVC) Quadrant IIID) Quadrant I98)Convert the angle in degrees to radians. Round to two decimal places.99) 138 A) 2.38 radiansB) 2.4 radiansC) 2.41 radians99)25D) 2.39 radians
100) A pendulum swings through an angle of 30 each second. If the pendulum is 55 inches long, howfar does its tip move each second? If necessary, round the answer to two decimal places.A) 26.95 inchesB) 31.23 inchesC) 28.8 inchesD) 30.09 inches100)101) A surveyor is measuring the distance across a small lake. He has set up his transit on one side of thelake 90 feet from a piling that is directly across from a pier on the other side of the lake. From histransit, the angle between the piling and the pier is 35 . What is the distance between the piling andthe pier to the nearest foot?A) 63 feetB) 129 feetC) 74 feetD) 52 feet101)102) A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8feet from the top and is to make an angle of 25 with the ground? Give your answer to the nearesttenth of a foot.A) 496.9 feetB) 222.9 feetC) 478.0 feetD) 231.7 feet102)In questions 130, 131, find the reference angle for the given angle.103) -404 A) 136 B) 134 C) 46 104)D) 44 -616A)103)104)B)6496C)56D)6105) Suppose that the average monthly low temperatures for a small town are shown in the table.Month1 2 3 4 5 6 7 8 9 10 11 12Temperature ( F) 19 27 38 45 57 62 65 58 51 41 33 25105)Model this data using f(x) a sin(b(x - c)) d. Use the sine regression feature to do this.Approximate all values to one decimal place.A) f(x) 22.5sin (0.5(x 3.2)) 40.7B) f(x) 22.5sin (0.5(x 1.6)) 40.7C) f(x) 22.5sin (1.25(x 1.6)) 40.7D) f(x) 25.7sin (0.5(x 1.6)) 32.5In questions 134, 135, use a right triangle to write the expression as an algebraic expression. Assume that x is positive andin the domain of the given inverse trigonometric function.106) sin(tan-1 x)106)A)x x2 - 1x2 - 1107) sin(sin-1A)x 33B) x x2 1C)x x2 1x2 1D)x2 1x2 1x)3107)B)x2 3x2 3C) x 326D)x x2 - 3x2 - 3
Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest tenth ofa degree.108) A 33 , b 45.2A) B 57 , a 29.4, c 53.9C) B 33 , a 37.9, c 29.4108)B) B 33 , a 69.6, c 37.9D) B 57 , a 69.6, c 83In questions 138, 139, 140, complete the identity.1 ?109) sec x sec xA) -2 tan2 x109)B) 1 cot x110) sec4 x sec2 x tan2 x - 2 tan4 x ?A) sec4 x 2B) 4 sec4 x111)C) sec x csc xD) sin x tan xC) 3 sec4 x - 2D) tan2 x - 1cos x - sin x sin x - cos x ?cos xsin xA) sec x csc x110)111)B) 2 - sec x csc xC) 2 sec x csc xD) 1 - sec x csc xWrite the expression as the cosine of an angle, knowing that the expression is the right side of the formula for cos ( - )with particular values for and .112) cos (155 ) cos (35 ) sin (155 ) sin (35 )112)A) cos (120 )B) cos (210 )C) cos (220 )D) cos (190 )In questions 142, 143, use the given information to find the exact value of the expression.32Find cos ( - ).113) sin , lies in quadrant II, and cos , lies in quadrant I55A)114) tanA)6 - 4 2125 12,5352377B)6 4 2125lies in quadrant III, and cosB)644725 -20,29B) -8 - 3 2125lies in quadrant II135377Find the exact value under the given conditions.2420, 0 ; cos , 0 115) sin 25229A)C)C) - 2152377D)113)-8 3 2125Find sin ( ).D)345377Find tan ( ).627364C)27627725114)115)D) -364725
In quesrtions 145, 146, 147, use the given information to find the exact value of the trigonometric function.1Find sin .116) sin , lies in quadrant I428 2 154A)117) cos 1, csc4 08 2 154A)B)Find sinB)6428 - 2 154C)D)104.117)8 - 2 154C)64D)104Complete the identity.sin 5x sin 11x ?118)cos 5x cos 11xA) tan 8x cot 3x118)B) tan 5x tan 11xC) tan 8xD) 2 tan 8x tan 3xIn questions 149, 150, 151, find all solutions of the equation.3119) tan x 3A) x 3 2nB) x 6119) nC) x 120) 5 sin x - 8 2 3 sin x- 7 257 n or x nA) x 44C) x 4 n or x 6 2nD) x 6 n3 2nB) x 2n or x
MATH 1730 Precalculus Final Exam Review Name_ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A local race for charity has taken place sin
Final Exam Answers just a click away ECO 372 Final Exam ECO 561 Final Exam FIN 571 Final Exam FIN 571 Connect Problems FIN 575 Final Exam LAW 421 Final Exam ACC 291 Final Exam . LDR 531 Final Exam MKT 571 Final Exam QNT 561 Final Exam OPS 571
Adv Alg/Precalculus Final Exam Precalculus Final Exam Review 2014 – 2015 You must show work to receive credit! This review covers the major topics in the material that will be tested on the final exam. It is not necessarily all inclusive and additional study and problem solving practice may be required to fully prepare for the final exam.File Size: 303KBPage Count: 11
PreCalculus Student Solutions Manual- Precalculus 6th Ed Sullivan 1 PreCalculus Precalculus: Enhanced with Graphing Utilities 3rd Ed (Instructor Ed) M.Sullivan, M. Sullivan III 1 PreCalculus Precalculus 8 Sullivan
Past exam papers from June 2019 GRADE 8 1. Afrikaans P2 Exam and Memo 2. Afrikaans P3 Exam 3. Creative Arts - Drama Exam 4. Creative Arts - Visual Arts Exam 5. English P1 Exam 6. English P3 Exam 7. EMS P1 Exam and Memo 8. EMS P2 Exam and Memo 9. Life Orientation Exam 10. Math P1 Exam 11. Social Science P1 Exam and Memo 12.
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Precalculus Any Math for College course Calc Discrete Math AP or dual - enrollment Prob & Stats Any Math for College course Discrete Math AP or dual-enrollment Math for Data and Financial Literacy (Honors) Prob Discrete Math-Algebra 2 (Honors) Precalculus Prob & Stats AP or dual It is important to note this is just a sample and other courses .
FINAL EXAM: The final exam will cover chapter 11, 13 and 15. There will be no make-up exam for the final exam. The final exam will count 100 points. The final exam will be 40 questions. The format will be multiple-choice. Only the materials covered in the lectures will be on the exam and you will have designated class time to finish the exam.
Proposed installation of underground storage tank (USTs) within groundwater protection zones (GPZs) has led to some conflict between the EA and developers in the past. Although standards for
