1) These problems should be completed over the summer and ready to turn in on the FIRST day of school. (They will not be accepted late!

Transcription

1 Dear Student, 1) These problems should be completed over the summer and read to turn in on the FIRST da of school. (The will not be accepted late!) ) This assignment will be graded on completion as well as accurac. ) It will be counted as our first TEST grade. You MUST show our work in the space provided. Please put all our answers in the space provided. These problems are reflective of the knowledge that is prerequisite to the course ou will take next ear. ANSWERS SHOULD BE IN SIMPLEST FORM!! PLEASE SHOW ALL WORK!!! Have a Great Summer time!!!! CSP MATH TEAM

2 Name: 1. The da before the parade, the school band s starting point was changed. The band director called three band members. Each of these band members called other band members. Then all of these band members called three members. How man band members, including the band director, are notified of the new starting point? 0 band members c. band members 51 band members d. band members. What is the perimeter of the fifth square in this pattern? Area = 1 Area = Area = 1 0 units 0 units c. 00 units d. 5 units. Aaron, Bob, Charles, and Daniel live in Tulsa, Portland, Miami, and Michigan. Bob is the brother of the man who lives in Portland. Daniel is not Bob s brother and does not live in Michigan. Either Aaron or Charles lives in Tuls Aaron is an onl child. Which person lives in which cit? Aaron, Miami; Bob, Michigan; Charles, Tulsa; Daniel, Portland Aaron, Tulsa; Bob, Michigan; Charles, Portland; Daniel, Miami c. Aaron, Portland; Bob, Miami; Charles, Michigan; Daniel, Tulsa d. Aaron, Tulsa; Bob, Portland; Charles, Miami; Daniel, Michigan Simplif.. + ( ) 1 5 c. 1 d c. 5 d ,09 c. 1 d..5 c.. d. Divide.. 1 c. 9. Solve bx + c = d for x. d. 1

3 c. d. 10. Evaluate for r = 9 and h = 15.,17.0 1,15 c.,1.7 d..1 Find the are c. cm Not drawn to scale c. d. 1. Find the volume of the cone to the nearest hundredth. 7 m m Not drawn to scale c. d. 1. A sphere has radius 5 cm. Find the volume to the nearest hundredth cm 10.7 cm c. 1.1 cm d. 5. cm 1. Find the slope of the line.

4 x Find the value of c. Round to the nearest tenth. c. d. 19 ft c 15 ft Not drawn to scale 5 ft. ft c. 19. ft d. 15. ft Solve the equation c. 0 d c. d c. 0.5 d. x = or x = 1 1 c. x = or x = x = or x = d. x = 1 1 or x = 0. 1, c. 1, 1, 1 d.,

5 1. Solve and graph. c. x x d. x x. Solve 9 < d < 5. Graph the solutions. c. < d < > d > d Graph.

6 c. x x d. x x Simplif the expression c. i d. i Find the product or quotient. Write the answer in scientific notation and in standard form. Round to the appropriate number of significant digits.. ; c. ; 0.70 ; d. ; 0.5

7 9. Find the distance between (, ) and (, ). If necessar, round to the nearest tenth. 10 units 101 units c. 7. units d. 5 units 0. The cit commission wants to construct a new street that connects Main Street and North Boulevard as shown in the diagram. The construction cost has been estimated at $17 per linear foot. Estimate the cost for constructing the street. North Blvd. new street 5 mi Main St. W mi S $5,115,1 $9,05 c. $5,,7 d. $5, Write the number in scientific notation Graph the parametric equations x(t) = t and (t) = t 1. c x x 5

8 5 d x x 5. Graph x + x. c x x 5 d x x 5 To which sets of numbers does the number belong?. 17 integers, rational numbers, real numbers

9 whole numbers, integers, rational numbers, real numbers c. whole numbers, integers, real numbers d. rational numbers, real numbers 5. The formula relates the speed S in miles per hour a car was traveling to the length d in feet that the car skidded when brakes were applied. The variable f is the coefficient of friction, which varies depending on the road surface and the condition of the tires. Which sets of numbers contain the value of S for f = 0. and d = 51? integers, rational numbers, real numbers irrational numbers, real numbers c. whole numbers, integers, rational numbers, real numbers d. natural numbers, whole numbers, integers, rational numbers, real numbers Insert <, >, or = to make the sentence true.. 0. < = c. > 7. < > c. = Find the opposite and the reciprocal of the number , 500, c. d. 500, 500, Name the propert of real numbers illustrated b the equation. 9. Associative Propert of Multiplication Commutative Propert of Addition c. Commutative Propert of Multiplication d. Closure Propert Evaluate the expression for the given value of the variable(s). 0. ;, c. 5 d ; b = c. 11 d. 1. ; x = 1 c. 11 d. 17. ; x = 7 c. d. 0

10 Simplif b combining like terms.. c. d. Solve the equation or formula for the indicated variable. 5., for t c. d.. Michael has $1,500 to invest. He invests part in an account which earns.% annual interest and the rest in an account which earns.% annual interest. He earns $9.50 in interest at the end of the ear. How much was invested at each rate? $5,000 at.%, $7,500 at.% c. $7,500 at.%, $5,000 at.% $7,5 at.%, $5,75 at.% d. $5,75 at.%, $7,5 at.% Solve the inequalit. Graph the solution set. 7. k k c. k 0 0 d. k 1 k ( 5) < 10 > 0 c. < d. < 5 > Solve the inequalit. Graph the solution. c

11 > x > c. < x < < x < d A biologist has determined that a particular ospre has a 70% chance of catching a fish on an given d Carr out a simulation of twent trials using the random number table below to find the probabilit that the ospre will actuall catch a fish on all of the next three das. Explain our method Using the digits 0 7 to represent a caught fish, the probabilit of catching a fish on each of the next three das is 70%. Using the digits 0 7 to represent a caught fish, the probabilit of catching a fish on each of the next three das is 5%. c. Using the digits 0 to represent a caught fish, the probabilit of catching a fish on each of the next three das is 5%. d. Using the digits 0 7 to represent a caught fish, the probabilit of catching a fish on each of the next three das is 7%. 5. This is a spinner used in a board game. What is the probabilit that the spinner will land on a multiple of and? c. d. 5. If a dart hits the target at random, what is the probabilit that it will land in the shaded region?

12 1 in. in. Drawing not to scale π c Write the ordered pairs for the relation. Find the domain and range. d. 1π O x {(, 5), ( 1, ), (0, 1), (1, ), (, 5)}; domain: {, 1, 0, 1, }; range: {1,, 5} {(5, ), (, 1), (1, 0), (, 1), (5, )}; domain: {, 1, 0, 1, }; range: {1,, 5} c. {(, 5), ( 1, ), (0, 1), (1, ), (, 5)}; domain: {1,, 5}; range: {, 1, 0, 1, } d. {(5, ), (, 1), (1, 0), (, 1), (5, )}; domain: {1,, 5}; range: {, 1, 0, 1, } Find the slope of the line c. d. none of these 1 Find an equation for the line: 5. through (, ) and parallel to = x +.

13 = x = x + 1 c. = 1 x + d. = 1 x A leak valve on the water meter overcharges the residents for one gallon of water in ever months. The overcharged amount w varies directl with time t. Find the equation that models this direct variation. How man months it will take for the residents to be overcharged for gallons of water? ; 0 months c. ; months ; 0 months d. ; months Find the value of for a given value of x, if varies directl with x. 5. If =. when x =., what is when x =.05? c. 1.0 d Write the equation for the translation of. O x c. d. 0. Compare the graphs of the pair of functions. Describe how the graph of the second function relates to the graph of the first function. The second function is the graph of moved to the right units. The second function is the graph of moved up units. c. The second function is the graph of moved to the left units. d. The second function is the graph of moved down units. 1. Write an equation for the horizontal translation of.

14 O x c. d.. Write the equation that is the translation of left 1 unit and up units.. An electronics store makes a profit of $0 for ever portable DVD plaer sold and $5 for ever DVD recorder sold. The manager s target is to make at least $10 a da on sales of the portable DVD plaers and DVD recorders. Write and graph an inequalit that represents the number of both kinds of DVD plaers that can be sold to reach or beat the sales target. Let p represent the number of portable DVD plaers and r represent the number of DVD recorders. 0p + 5r 10 c. 5p + 0r 10 r r 0 p 0 p 5p + 0r 10 d. 0p + 5r 10

15 r r 0 p 0 p Graph the absolute value inequalit.. < x + c. O x O x d. O x O x Write an inequalit for the graph.

16 5. O x x + 1 c. x 1 x + 1 d. x 1 Solve the sstem b graphing.. c. O x O x ( 1, ) (1, )

17 d. O x O x (, 1) (, 1) Without graphing, classif each sstem as independent, dependent, or inconsistent. 7. dependent inconsistent c. independent Solve the sstem b the method of substitution.. (, 1, 1) (, 1, 1) c. (, 1, 1) d. (, 1, 1) Use the elimination method to solve the sstem. 9. (, 5) (5, ) c. (, 5) d. ( 5, ) 70. infinite solutions c. (5, ) ( 5, ) d. no solutions 71. (5, ) c. ( 5, ) no solutions d. infinite solutions

18 7. (1,, 1) (1,, 1) c. ( 1,, 1) d. (1,, 1) Solve the sstem of inequalities b graphing. 7. c. O x O x d. O x O x 7.

19 c. O x O x d. O x O x 75. c. O x O x

20 d. O x O x 7. Your computer suppl store sells two tpes of inkjet printers. The first, tpe A, costs $17 and ou make a $50 profit on each one. The second, tpe B, costs $100 and ou make a $0 profit on each one. You can order no more than 100 printers this month, and ou need to make at least $00 profit on them. If ou must order at least one of each tpe of printer, how man of each tpe of printer should ou order if ou want to minimize our cost? 0 of tpe A 0 of tpe B c. 0 of tpe A 0 of tpe B 0 of tpe A 70 of tpe B d. 70 of tpe A 0 of tpe B 77. A factor can produce two products, x and, with a profit approximated b P = 1x The production of can exceed x b no more than 00 units. Moreover, production levels are limited b the formula What production levels ield maximum profit? x = 0 = 0 x = 1000 = 0 c. x = 0 = 00 d. x = 00 = 00 Solve the sstem using either method of substitution or elimination. 7. no solution (, 5, ) c. (, 5, ) d. (, 5, ) Find the sum or difference. 79.

21 Use matrices A, B, and C. Find the sum or difference if ou can. 0. B + A not possible 1. not possible c.. none of these Find the values of the variables.. x =, = c. x =, = x = 1, = d. x =, = 1. t =, = c. t =, = t =, = d. t =, = Solve the matrix equation.

22 A(0, 0), B( 1, ), and C(, 1); a rotation of 10º 1 C O A x

23 1 B' c. C C' 1 C B' O A x O A x C' 1 C' d. C 1 C B' O A x O A C' x B' Find the coordinates of the image after a reflection in the given line. 9. -axis Determine whether the matrix has an inverse. If an inverse exists, find it. 90. does not exist

24 Assign each letter and a blank space to a number as shown b the alphabet table below: 0 = _ 1 = A = B = C = D 5 = E = F 7 = G = H 9 = I 10 = J 11 = K 1 = L 1 = M 1 = N 15 = O 1 = P 17 = Q 1 = R 19 = S 0 = T 1 = U = V = W = X 5 = Y = Z 91. The matrix was used to encode to. Find and use it to decode the matrix. IN BROAD DAYLIGHT c. GRIND TO A HALT RUN LIKE THE WIND d. LEAPS AND BOUNDS 9. Use an augmented matrix to solve the sstem. no solution c. d. Use Cramer s Rule to solve the sstem. 9.. (, 5, ) c. (, 5, 10) (, 5, ) d. (, 5, ) Solve the sstem. 9. (19, 1,, 7) c. (,,, 0) (,,, 0) d. (,,, 1) 95. c. no solution d.

25 9. A gem store sells beads made of amber and quartz. For amber beads and quartz beads, the cost is $.00. For 1 amber bead and quartz beads, the cost is $1.50. Find the price of each tpe of bead. amber $10.00, quartz $1.50 c. amber $10.5, quartz $1.75 amber $9.75, quartz $1.5 d. amber $1.50, quartz $10.00 Identif the vertex and the axis of smmetr of the parabol Identif points corresponding to P and Q. 97. P O x Q (, 1), x = ; P'(, 0), Q'( 5, ) (1, ), x = 1; P'(, 0), Q'( 5, ) c. (, 1), x = ; P'(, 0), Q'( 1, ) d. (1, ), x = 1; P'(, 0), Q'( 1, ) Find a quadratic model for the set of values. 9. (, ), (0, ), (, ) 99. A manufacturer determines that the number of drills it can sell is given b the formula, where p is the price of the drills in dollars. At what price will the manufacturer sell the maximum number of drills? What is the maximum number of drills that can be sold? $0; 5 drills c. $1;,1 drills $0;,15 drills d. $90;,5 drills 100. Dalco Manufacturing estimates that its weekl profit, P, in hundreds of dollars, can be approximated b the formula, where x is the number of units produced per week, in thousands. How man units should the compan produce per week to earn the maximum profit? Find the maximum weekl profit. 1,000 units; $100 c. 1,000 units; $00,000 units; $100 d.,000 units; $ Use vertex form to write the equation of the parabol

26 O x Write the equation of the parabola in vertex form. 10. vertex (0, ), point (, 5) Factor the expression no solution 105. Solve b factoring. = 0, 1, c., 1 d. 1, Find the additive inverse of Find the first three output values of the fractal-generating function input value., 5 + 0i, 5 + 0i c. d., 5 + 0i. Use z = 0 as the first Solve the quadratic equation b completing the square.

27 10. 7 c. 7 7 d Classif x 5 x b degree and b number of terms. quintic binomial c. quintic trinomial quartic binomial d. quartic trinomial 110. Classif 7x 5 x + x b degree and b number of terms. quartic trinomial c. cubic binomial quintic trinomial d. quadratic binomial 111. Zach wrote the formula w(w 1)(5w + ) for the volume of a rectangular prism he is designing, with width w, which is alwas has a positive value greater than 1. Find the product and then classif this polnomial b degree and b number of terms. ; quintic trinomial ; quadratic monomial c. ; cubic trinomial d. ; quartic trinomial 11. Write x (x + 5x ) in standard form. Then classif it b degree and number of terms. x + 9x ; quintic binomial c. x 5 x ; quintic trinomial 0x 5 x ; quintic binomial d. 0x 5 10x ; quartic binomial 11. The table shows the number of hbrid cottonwood trees planted in tree farms in Oregon since Find a cubic function to model the data and use it to estimate the number of cottonwoods planted in 00. Years since Trees planted (in thousands) ; 0. thousand trees ; 0. thousand trees c. ; 1.1 thousand trees d. ; 1.1 thousand trees 11. Miguel is designing shipping boxes that are rectangular prisms. One shape of box with height h in feet, has a volume defined b the function. Graph the function. What is the maximum volume for the domain? Round to the nearest cubic foot. 10 ft 107 ft c. 105 ft d. 110 ft 115. Find the zeros of. Then graph the equation.,, c.,

28 x x 0,, d. 0,, x x 11. Find the zeros of and state the multiplicit., multiplicit ; 5, multiplicit, multiplicit ;, multiplicit 5 c., multiplicit ; 5, multiplicit d., multiplicit ;, multiplicit c., d. no solution 11. The dimensions in inches of a shipping box at We Ship You can be expressed as width x, length x + 5, and height x 1. The volume is about 7. ft. Find the dimensions of the box in inches. Round to the nearest inch. 15 in. b 0 in. b in. c. 15 in. b 0 in. b 5 in. 1 in. b 17 in. b 5 in. d. 1 in. b 17 in. b in Find the rational roots of.,, c., d., Find the roots of the polnomial equation. 10. ± 5i, c. ± i, ± 5i, d. ± i,

29 11. For the equation, find the number of complex roots and the possible number of real roots. complex roots; 0, or real roots complex roots; 1 or real roots c. complex roots; 1 or real roots d. complex roots; 0, or real roots For the equation, find the number of complex roots, the possible number of real roots, and the possible rational roots. 1. c. d. complex roots;,, or real roots; possible rational roots: complex roots;,, or real roots; possible rational roots: complex roots; 0,,, or real roots; possible rational roots: complex roots; 0,,, or real roots; possible rational roots: 1. In how man was can singers be selected from 5 who came to an audition? 1 10 c. 5 d. 0 Find the real-number root. 1. c. d. Multipl and simplif if possible. 15. Divide and simplif. 1. c. d. Divide and simplif. Assume that all variables are positive. 17.

30 c. d. Rationalize the denominator of the expression. Assume that all variables are positive. 1. none of these 19. Add if possible. 10. not possible to simplif 11. A rope is units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio :. What is the length of the longer piece expressed in simplest radical form? units c. units units d. units 1. Write the radical expression in exponential form. c. d. Solve. Check for extraneous solutions c. d. 1 1 and 1. 7 c Let and. Find f(x) g(x). d. 7

31 x 5 x + 5 c. x 1 d. x 1 1. Let and. Find and its domain. x + ; all real numbers except x = 9x + ; all real numbers except x = c. x + ; all real numbers except x = d. 9x ; all real numbers except x = 17. Let and. Find. 5 c. 9 d. 1. Graph the relation and its inverse. Use open circles to graph the points of the inverse. x c. x x d. x x 19. For the function, find. Determine whether is a function. ; is not a function. ; is not a function.

32 c. d. ; is a function. ; is a function. 10. Police can estimate the speed of a vehicle before the brakes are applied using the formula, where s is the speed in miles per hour and d is the length of the vehicle s skid marks. What was the approximate speed of a vehicle that left a skid mark measuring 100 feet? about 9 miles per hour c. about miles per hour about 10 miles per hour d. about miles per hour Graph the function. 11. c. x x d. x x 1. x + 1 = 0

33 10 c x x d x x Rewrite. to make it eas to graph using a translation. Describe the graph. It is the graph of translated units left and units down.. It is the graph of translated units left and units down. c.. It is the graph of d.. translated units right and units down. It is the graph of translated units right and units down. 1. Write an exponential function for a graph that includes (1, 15) and (0, ). 15. For an annual rate of change of 1%, find the corresponding growth or deca factor c. 1.1 d Use a graphing calculator. Use the graph of to evaluate to four decimal places c..71 d Evaluate the logarithm.

34 17. log c. d Write the equation in exponential form. c. d. Graph the logarithmic equation c x x d x x 5 State the propert or properties of logarithms used to rewrite the expression Commutative Propert c. Quotient Propert Product Propert d. Power Propert Quotient Propert c. Difference Propert Product Propert d. Power Propert

35 Write the expression as a single logarithm. 15. c. d. Expand the logarithmic expression Solve. Round to the nearest ten-thousandth c d Use the Change of Base Formula to solve. Round to the nearest ten-thousandth c..59 d Solve c d Solve. Round to the nearest ten-thousandth c..7 d The generation time G for a particular bacteria is the time it takes for the population to double. The bacteria increase in population is shown b the formula, where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period. If the generation time for the bacteria is hours, how long will it take of these bacteria to multipl into a colon of 71 bacteria? Round to the nearest hour. 177 hours 7 hours c. hours d. 5 hours Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it x direct variation; = 1 5 x inverse variation; c. neither

36 10. Suppose that x and var inversel and that variation and find when x = 10. ; 1 0 c. when x =. Write a function that models the inverse ; 1 ; 1 0 d. ; The values (9., 11) and (11, ) are from an inverse variation. Find the missing value and round to the nearest hundredth c. 10. d Suppose that varies directl with x and inversel with z = 5 when x = 5, and z = 7. Write the equation that models the relationship. Then find when x = 1 and z =. 5 c Suppose that varies jointl with w and x and inversel with z and = 0 when w =, x = 5 and z = 5. Write the equation that models the relationship. Then find when w =, x = and z =. c. 0 d Describe the combined variation that is modeled b the formula or equation. d a varies directl as F and inversel as m. a varies directl as m and inversel as F. c. a varies directl as F and m. d. varies inversel as F and m. Find an points of discontinuit for the rational function. 15. x =, x =, x = c. x = 9, x = 7 x = 9, x = 7 d. x =, x =, x = 1. x = 1, x = 7 c. x = 1, x = 7 x = d. x = 1, x = Describe the vertical asmptote(s) and hole(s) for the graph of.

37 asmptote: x = and hole: x = asmptotes: x = and x = c. asmptote: x = 5 and hole: x = d. asmptote: x = and hole: x = Multipl or divide. State an restrictions on the variables A group of college students are volunteering for Help the Homeless during their spring break. The are putting the finishing touches on a house the built. Working alone, Irina can paint a certain room in 7 hours. Paulo can paint the same room in hours. Write an equation that can be used to find how long it will take them working together to paint the room. How man hours will it take them to paint the room? If necessar, round our answer to the nearest hundredth. c. ; 1 hours ;.5 hours ;. hours d. ;.5 hours 170. The sum of the reciprocals of two consecutive even integers is 11. Write an equation that can be used to find 0 the two integers. Find the two integers. = 11 0 ; and 10 c. = 11 0 ; 10 and 1 d. = 11 ; 10 and 1 0 = 11 ; and Linda has 7 quarts of juice. The juice is a mixture that is 10% pineapple juice and 90% orange juice. How much pineapple juice should she add to get a mixture that is 0% pineapple juice? Round our answer to the nearest tenth of a quart.. qt 1. qt c..9 qt d.. qt 17. Graph the equation. Describe the graph and its lines of smmetr.

38 c. T x x The graph is an ellipse. The center is at the origin. It has two lines of smmetr, the x- axis and the -axis. d. he graph is a circle. The center is at the origin. Ever line through the origin is a line of smmetr. T x x The graph is an ellipse. The center is at the origin. It has two lines of smmetr, the x- axis and the -axis. he graph is a circle. The center is at the origin. Ever line through the origin is a line of smmetr. Identif the center and intercepts of the conic section. Then find the domain and range.

39 17. x 17. The center of the ellipse is (0, 0). The x-intercepts are (0, 5) and (0, 5). The -intercepts are (, 0) and (, 0). The domain is {x x }. The range is { 5 5}. The center of the ellipse is (0, 0). The x-intercepts are (, 0) and (, 0). The -intercepts are (0, 5) and (0, 5). The domain is {x x }. The range is { 5 5}. c. The center of the ellipse is (0, 0). The x-intercepts are (0, 5) and (0, 5). The -intercepts are (, 0) and (, 0). The domain is {x 5 5}. The range is { x }. d. The center of the ellipse is (0, 0). The x-intercepts are (, 0) and (, 0). The -intercepts are (0, 5) and (0, 5). The domain is {x 5 5}. The range is { x }. x The center of the circle is (, ). The x-intercepts are (, 0) and (, 0). The -intercepts are (0, ) and (0, ). The domain is { }. The range is {x x }. The center of the circle is (, ). The x-intercepts are (, 0) and (, 0). The -intercepts are (0, ) and (0, ). The domain is {x x }. The range is { }. c. The center of the circle is (0, 0). The x-intercepts are (, 0) and (, 0). The -intercepts are (0, ) and (0, ). The domain is {x x }. The range is { }. d. The center of the circle is (0, 0). The x-intercepts are (, 0) and (, 0). The -intercepts are (0, ) and (0, ). The domain is { }. The range is {x x } Identif the focus and the directrix of the graph of. focus (0, ), directrix at = c. focus (0, ), directrix at =

40 focus (, 0), directrix at = d. focus (, 0), directrix at = 17. Identif the vertex, focus, and directrix of the graph of. vertex (, 5), focus (, 7), directrix at = vertex (, 5), focus (0, 7), directrix at = c. vertex (, 5), focus (0, ), directrix at = d. vertex (, 5), focus (, ), directrix at = 177. Write an equation in standard form for the circle. x 17. Graph. c. x x

41 d. x x 179. An elliptical track has a major axis that is 0 ards long and a minor axis that is 7 ards long. Find an equation for the track if its center is (0, 0) and the major axis is the x-axis. Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. 10. a vertex at ( 5, 0) and a co vertex at (0, ) 11. height of 1 units and width of 19 units 1. Write an equation for the graph.

42 x 1. Find the foci of the graph. Draw the graph. ( 1, 0) 1 c. (0, ) x x 1 (, 0) d. (0, 1 )

43 x x 1 1. Find an equation that models the path of a satellite if its path is a hperbola, a = 55,000 km, and c = 1,000 km. Assume that the center of the hperbola is the origin and the transverse axis is horizontal. c. d. Identif the conic section. If it is a parabola, give the vertex. If it is a circle, give the center and radius. If it is an ellipse or a hperbola, give the center and foci. 15. parabola; vertex ( 5, ) c. parabola; vertex (5, ) parabola; vertex (5, ) d. parabola; vertex (, ) 1. Find the center and radius of the circle with equation. center ( 1, 1); radius c. center ( 1, 1); radius center (1, 1); radius d. center (1, 1); radius 17. Write an explicit formula for the sequence,,,,,... Then find. 1. The table shows the predicted growth of a particular bacteria after various numbers of hours. Write an explicit formula for the sequence of the number of bacteri Hours (n) 1 5 Number of Bacteria

44 Is the sequence arithmetic? If so, identif the common difference , 0, 7,,... es, 7 es, 7 c. es, 1 d. no 190. Find the missing term of the arithmetic sequence,,,... 1 c. d A grocer clerk sets up a displa of 1-pack cartons of col There are 15 cartons at the base of the triangle and one at the top. How man cartons of cola are needed for the complete displa? 10 cartons c. 10 cartons 0 cartons d. 15 cartons Write the explicit formula for the sequence. Then find the fifth term in the sequence. 19. ; c. ; ; d. ; 79 Find the missing term of the geometric sequence ,, 50, c. 50 d A rope is swinging in such a wa that the length of the arc is decreasing geometricall. If the first arc is 1 feet long and the third arc is feet long, what is the length of the second arc? 1 feet 10 feet c. 5 feet d. 7 feet Use the finite sequence. Write the related series. Then evaluate the series. 195., 9,, 5,, 1, = = 5 c = 19 d = The sequence 5, 0, 5, 10,..., 5 has 15 terms. Evaluate the related series c. 50 d Use summation notation to write the series for 1 terms.

45 19. For the series, find the number of terms in the series. 7 terms 1 terms c. terms d. 9 terms 199. For the series, find the first and the last term. 5,, 1 c. 5, 9 d., Evaluate the series to c d. 1,500 Evaluate the infinite geometric series. Round to the nearest hundredth if necessar c. 1 d. 0. The area under this curve has been subdivided into rectangles. Use the rectangles to approximate the area under the curve. 10 square units c. square units 1 square units d. 55 square units 0. The dartboard has sections of equal are The letters represent the colors red (R), ellow (Y), blue (B), and green (G). Use a table to show the probabilit distribution for a dart that hits the board at a random location.

46 Y G G G Y Y B R 0. Show the probabilit distribution described b for x = 1,,, and. Include the cumulative probabilit. Find the mean, median, and mode of the data set. Round to the nearest tenth , 1, 9, 9, 7, 1, 11, 10, 1, 1, 1 mean = 9., mean =.5, median =, mode median = 10, =1 mode = 1 c. mean = 9., median = 10, mode = 1 d. mean =.5, median = 10, mode =

47 Make a box-and-whisker plot of the dat 0., 1, 9, 1, 1,, 1, 11 c. d Find the values of the 0th and 90th percentiles of the dat , 11, 00, 100, 105, 1, 100, 17, 1, 15 0th percentile = 105; c. 0th percentile = 105; 90th percentile = 00 90th percentile = 17 0th percentile = 11; d. 0th percentile = 11; 90th percentile = 00 90th percentile = 17 Find the outlier in the set of dat 0. 17, 1, 1, 1,, 1, 1, 1 c. 1 d. 17 Find the range and interquartile range of the dat Round to the nearest tenth. 09., 5,,, 0, 5, 10, 55,, range = 7; interquartile range = 1 c. range = 7; interquartile range = 1 range = 7; interquartile range = 1 d. range = 7; interquartile range = Another measure of variation is variance, which equals. Find the variance and standard deviation of the data set. Round to the nearest tenth. 7,,, 10,, 10 variance =.; standard deviation =. c. variance = 1.5; standard deviation =. variance = 1.5; standard deviation =.1 d. variance =.; standard deviation = A surve of 0 high school students found that 7% had a pet. Find the margin of error. Round to the nearest percent. Use the margin of error to find an interval that is likel to contain the true population proportion. margin of error = ; c. margin of error = ; interval, 7% to % interval, 0% to % margin of error = ; d. margin of error = ; interval, % to % interval, 7% to %

48 1. The numbers of cookies in a shipment of bags are normall distributed, with a mean of and a standard deviation of. What percent of bags of cookies will contain between 0 and cookies? 50% 1.5% c. % d. % 1. A grocer store will onl accept ellow onions that are at least in. in diameter. A grower has a crop of onions with diameters that are normall distributed, with a mean diameter of.5 in. and a standard deviation of 0.5 in. What percent of the onions will be accepted b the grocer store? % 97.5% c. % d. 50% Sketch the angle in standard position º c. 150 ο x 150 ο x d. 150 ο x 150 ο x 15. Find the measure of an angle between 0º and 0º coterminal with an angle of 110º in standard position. 50º 0º c. 110º d. 70º 1. Find the exact value of cos 00º and sin 00º. 17. For an angle in standard position measuring 9º, find the values of cos and sin. Round our answers to the nearest hundredth.

49 0.0, 1.00 c. 0.0, , 1.00 d. 0.0, 1.00 Write the measure in degrees. 1. radians º º c. 15º d. 5.5º 19. A Ferris wheel has a radius of 0 feet. Two particular cars are located such that the central angle between them is 15º. To the nearest tenth, what is the measure of the intercepted arc between those two cars on the Ferris wheel? 7. feet 1,00.0 feet c feet d. 0. feet 0. Find the amplitude of the sine curve shown below. O π π π θ π c. d. 1. A particular sound wave can be graphed using the function. Find the amplitude and period of the function. amplitude =, period = π c. amplitude = π, period = amplitude = 1 π, period = d. amplitude =, period = 1. Use a graphing calculator to graph the function on the interval and. Evaluate the function at. Round to the nearest tenth. 171., 9.7,. c. 171., 9.7,. 9.7, 100.7, 9. d..7, 0., 0.. Use a graphing calculator to solve the equation in the interval from. Round our answers to the nearest hundredth. 1.1,.5 c. 1.1,.,.1,.5, 5.0. d. 0.0, 1,5.5,.55,.59, 5. Graph the function in the interval from 0 to π.. = cos 1 θ

50 π π O θ c. π π O θ π π O θ d. π π O θ 5. π π O θ c. π π O θ

51 d. O π π θ O π π θ. Suppose. Find. 10 c. d. 7. Find the exact value of csc 15º. If the expression is undefined, write undefined. 0 undefined c. d.. Find the exact value of sec (70º). If the expression is undefined, write undefined. undefined 1 c. 0 d Evaluate to the nearest hundredth. The angle is given in radians c. 1.7 d Find the amplitude of the periodic function. x.5 c. 7 d Use the graph of the inverse of = cos θ. Find the radian measure(s) of the angle with the given cosine.

52 θ 1 1 x 1. 0 No such angle exists.. 1 No such angle exists. Use a unit circle and triangles to find the degree measures of the angle.. angles whose tangent is 10 + n 10 c. 0 + n n 0 d. 0 + n 0 Use a calculator and inverse functions to find the radian measures of the given angle. Round our answer to the nearest hundredth.. angles whose sine is πn and πn c πn and. + πn πn and. + πn d πn and πn Solve the equation for 0 < π. Write our answer as a multiple of π, if possible. 5..

53 7. c. d.. c. d. 9. The equation models the height h in centimeters after t seconds of a set of kes attached to the end of a spring that has been stretched and then released. When will the set of kes first be inches above the resting position? 1. seconds 1 second c.. seconds d. seconds 0. In XYZ, Y is a right angle and. Find sin Z in fraction and in decimal form. Round to the nearest hundredth, if necessar. Z 5 X Y c. d. 1. In, is a right angle. Find to the nearest tenth of a degree. x B. 0 A C 0.. c..9 d. 1.. Find the area of the triangle. Round our answer to the nearest tenth.

54 B m 9 A m C 9. m.0 m c. m d. 1.1 m. In, j = 9 in., k = 5 in., and =. Find. 59 c. d. 75. On a baseball field, the pitcher s mound is 0.5 feet from home plate. During practice, a batter hits a ball 1 feet deep. The path of the ball makes a angle with the line connecting the pitcher and the catcher, to the right of the pitcher s mound. An outfielder catches the ball and throws it to the pitcher. How far does the outfielder throw the ball?? 1 ft 0.5 ft 5. sin ft. ft c. 19. ft d ft Find the exact value of the expression.

55 c. d. Rewrite the expression as a trigonometric function of a single angle measure.. 7. c. d. c. d. Use a half-angle identit to find the exact value of the expression.. sin 105 c. d. 9. cos 7.5 c. d. 50. Given and, find the exact value of. c. d.