Precalculus: Graphs And Models, A Right Triangle Approach, 6th Edition Test Bank

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ExamName___________________________________MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Solve the equation.1)3(2x+1)=9-5(2x-3)1)A)-916B)916C)2116D)21Answer:CExplanation:A)B)C)D)Graph the equation.2)y=-x2-42)A)B)1

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C)D)Answer:CExplanation:A)B)C)D)Solve the problem.3)Find the average rate of change.Value ofCar inThousandsof DollarsNumber of Years of Use3)A)$2.00per yearB)-$2.00per yearC)-$3.00per yearD)$3.00per yearAnswer:BExplanation:A)B)C)D)Use substitution to determine whether the given ordered pair is a solution of the given equation.4)73,14; 6x-4y=134)A)YesB)NoAnswer:AExplanation:A)B)2

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Solve the problem.5)The total amount of mail delivered to 22 million Canadians in 1999 was7.4billion pieces. Onaverage, how much mail did each Canadian receive in 1999?5)A)0.3piecesB)336.4piecesC)3363.6piecesD)33.6piecesAnswer:BExplanation:A)B)C)D)6)In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of$2.90assoon as you get in the taxi, to which a charge of$2.00per mile is added. Find an equation that canbe used to determine the cost, C(x), of an x-mile taxi ride, and use this equation to find the cost of a4-mile taxi ride.6)A)$11.08B)$10.90C)$10.78D)$11.80Answer:BExplanation:A)B)C)D)7)Helen Weller invested $10,000in an account that pays12% simple interest. How much additionalmoney must be invested in an account that pays15% simple interest so that the average return onthe two investments amounts to13%?7)A)$7000B)$5000C)$10,000D)$6000Answer:BExplanation:A)B)C)D)Is the following correspondence a function?8)8)A)YesB)NoAnswer:AExplanation:A)B)Graph the function.3

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9)f(x)=x2-29)A)B)C)D)Answer:DExplanation:A)B)C)D)4

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Use the given graph to find the x-intercept and the zero of the function.10)10)A)(-3,-4);-3B)(-3, 0);-3C)(0, 0); 0D)(-4, 0);-4Answer:BExplanation:A)B)C)D)Find the midpoint of the segment having the given endpoints.11)(5,6) and (-3,4)11)A)4,1B)(2,10)C)1,5D)(8,2)Answer:CExplanation:A)B)C)D)Use the given graph to find the x-intercept and the zero of the function.12)12)A)(0, 0); 0B)(4, 0);4C)(7, 0);7D)(4,7);4Answer:BExplanation:A)B)C)D)5

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Find an equation for the circle.13)Center at (2,-4), radius of length1213)A)(x-2)2+(y+4)2=14B)(x+2)2+(y-4)2=4C)(x-2)2+(y-4)2=14D)(x+2)2-(y+4)2=4Answer:AExplanation:A)B)C)D)Solve the problem.14)43% of those who purchase music CDs online are 18-23 years old.This is three and one-half timesthe number who are 38-43 years old. What percent of online music purchasers are 38-43 years old?14)A)129%B)43%C)150.5%D)12.3%Answer:DExplanation:A)B)C)D)Evaluate as requested.15)Given that g(x)=x-3x+7, find g(-13.25).15)A)4181B)1C)135D)-4181Answer:CExplanation:A)B)C)D)6

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Solve and write interval notation for the solution set. Then graph the solution set.16)-12<-4xK416)A)(-3,1]B)[-1,3)C)(-1,3)D)[-1,3]Answer:BExplanation:A)B)C)D)Graph the function.17)f(x)=14x-217)7

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A)B)C)D)Answer:AExplanation:A)B)C)D)By graphing the function, visually estimate its domain and range.18)f(x)=x2-418)A)Domain: (-Q,-2]1[2,Q); range: [0,Q)B)Domain: [-2,2]; range: [0,Q)C)Domain: (-Q,Q); range: [0,Q)D)Domain: (-Q,-2]1[2,Q); range: (-Q,Q)Answer:AExplanation:A)B)C)D)8

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Solve the problem.19)A survey of7016first-time vacationers showed that80% more vacationers took their vacation intheir own country rather than travel abroad. How many vacationers in the sample took theirvacation abroad?19)A)2506peopleB)1403peopleC)7016peopleD)39peopleAnswer:BExplanation:A)B)C)D)Solve the equation.20)3x-(2x-1)=220)A)1B)-15C)15D)-1Answer:AExplanation:A)B)C)D)Solve the problem.21)The information in the chart below gives the salary of a person for the stated years. Model the datawith a linear function using the points (1,24,700) and(3,26,800).Then use this function to predictthe salary for the year2003.Year, xSalary, y1990, 0$23,5001991, 1$24,7001992, 2$25,2001993, 3$26,8001994, 4$27,20021)A)$37,190B)$37,170C)$37,130D)$37,150Answer:DExplanation:A)B)C)D)9

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Determine whether a linear model might fit the data.22)22)A)YesB)NoAnswer:BExplanation:A)B)Find the midpoint of the segment having the given endpoints.23)(7, 1) and (-16,-16)23)A)(-9,-15)B)(9, 15)C)-92,-152D)232,172Answer:CExplanation:A)B)C)D)Is the following correspondence a function?24)Domain: All students attending Laughlin Community CollegeCorrespondence: Each student's Social Security NumberRange: A set of Social Security Numbers24)A)YesB)NoAnswer:AExplanation:A)B)10

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Write equations of the horizontal and the vertical lines that pass through the given point.25)(9,-2)25)A)horizontal: y=-2;vertical: x=9B)horizontal: y=92x+0;vertical:92y=x+0C)horizontal: x=9;vertical; y=-2D)horizontal: y=-2x+0;vertical: x=9y+0Answer:AExplanation:A)B)C)D)Find the slope of the line.26)26)A)-1B)-2C)1D)2Answer:CExplanation:A)B)C)D)Determine the slope, if it exists, of the graph of the given linear equation.27)y=-14x+327)A)m=3B)m=-3C)m=14D)m=-14Answer:DExplanation:A)B)C)D)11

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Determine whether a linear model might fit the data.28)28)A)YesB)NoAnswer:AExplanation:A)B)Find the zero of the linear function.29)f(x)=x+929)A)-9B)0C)18D)9Answer:AExplanation:A)B)C)D)Solve the problem using your calculator.30)The paired data below consist of the costs of advertising (in thousands of dollars) and the numberof products sold (in thousands). What is the correlation coefficient?Cost923425910Number855255686786837330)A)0.235B)0.246C)-0.071D)0.708Answer:DExplanation:A)B)C)D)12

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Find the slope and the y-intercept of the line with the given equation.31)2x+5y=2631)A)-25;0,265B)212;0,526C)-212;0,526D)25;0,265Answer:AExplanation:A)B)C)D)Find the domain and range of the function represented in the graph.32)32)A)Domain: (-1, 2]; Range: [1,3)B)Domain: [-2, 1]; Range: [0,3]C)Domain: [-2, 1); Range: [-2,5)D)Domain: (-2, 1]; Range: [0,3)Answer:DExplanation:A)B)C)D)Graph the function.33)f(x)=x+433)13

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A)B)C)D)Answer:BExplanation:A)B)C)D)Solve the problem.34)A construction company builds a swimming pool with a perimeter of58m. The length is11mmore than the width. Find the dimensions of the swimming pool?34)A)20m×11mB)15m×9mC)25m×9mD)20m×9mAnswer:DExplanation:A)B)C)D)14

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Find the domain of the function.35)f(x)=x4-2x3+73x2-5x-2835)A){x| xJ4}, or(-Q,4)1(4,Q)B)x|xJ-4and xJ73, or (-Q,-4)1-4,73173,QC)x|xJ-73and xJ4, or-Q,-731-73,41(4,Q)D)x|xJ-73, or-Q,-731-73,QAnswer:CExplanation:A)B)C)D)Solve the problem.36)Company A rents copiers for a monthly charge of $180plus12cents per copy. Company B rentscopiers for a monthly charge of $360plus6cents per copy. What is the number of copies abovewhich Company A's charges are the higher of the two?36)A)6000copiesB)1500copiesC)3100copiesD)3000copiesAnswer:DExplanation:A)B)C)D)Use substitution to determine whether the given ordered pair is a solution of the given equation.37)(-6,-57); y=8x-937)A)YesB)NoAnswer:AExplanation:A)B)Determine the equation of the line described. Put answer in the slope-intercept form, if possible.38)Through (9,-7), perpendicular to4x-3y=5738)A)y=34x+14B)y=-34xC)y=-34x-14D)y=-43x+1Answer:CExplanation:A)B)C)D)Use substitution to determine whether the given ordered pair is a solution of the given equation.39)(5,3);2x-2y=1639)A)YesB)NoAnswer:BExplanation:A)B)15

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Find the slope of the line.40)40)A)-12B)2C)12D)-2Answer:BExplanation:A)B)C)D)Use substitution to determine whether the given ordered pair is a solution of the given equation.41)(2,4); y=-5x+1441)A)YesB)NoAnswer:AExplanation:A)B)Solve the problem.42)An airplane leaves Los Angeles for Denver at a speed of420mph. Thirty minutes later, a planegoing from Denver to Los Angeles leaves Denver, which is 850 miles from Los Angeles, at a speedof470mph. When they meet, how far are they from Denver?42)A)286miB)115miC)57miD)338miAnswer:DExplanation:A)B)C)D)16

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Express the data in the graph as ordered pairs, letting the first coordinate represent the year and the second coordinate theamount.43)WinterVacation:The length of the averagewintervacation is decreasing.98.88.68.58.187.87.676200320042005200620072008Year43)A)(2003,8.6), (2004,8.8), (2005,8.1), (2006,8.5), (2007,7.8), (2008,7.6)B)(8.6, 2003), (8.8, 2004), (8.5, 2005), (8.1, 2006), (7.6, 2007), (7.8, 2008)C)(2003,8.8), (2004,8.6), (2005,8.5), (2006,8.1), (2007,7.8), (2008,7.6)D)(8.8, 2003), (8.6, 2004), (8.5, 2005), (8.1, 2006), (7.8, 2007), (7.6, 2008)Answer:CExplanation:A)B)C)D)Find the zero of the linear function.44)f(x)=13-x44)A)-26B)1C)13D)-13Answer:CExplanation:A)B)C)D)Find the requested measurement.45)The points (-2,-3) and (-2,6) are the endpoints of the diameter of a circle. Find the length of theradius of the circle.45)A)4.5B)4C)5.5D)5Answer:AExplanation:A)B)C)D)17

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Find the slope of the line containing the given points.46)(2,-5) and (0.46,-5)46)A)0.46-2B)not definedC)0D)2-0.46Answer:CExplanation:A)B)C)D)Find the domain and range of the function represented in the graph.47)47)A)Domain: [0,7]; Range: [0,5]B)Domain: [0,4]; Range: [0,2]C)Domain: [0,2]; Range: [0,4]D)Domain: (-Q,2]; Range: [4,Q]Answer:CExplanation:A)B)C)D)Is the following correspondence a function?48)48)A)YesB)NoAnswer:AExplanation:A)B)18

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Find the coordinates of the points shown on the graph.49)49)A)A: (7,4), B: (4,-6)B)A: (7,4), B: (4,4)C)A: (4,30), B: (4,-6)D)A: (7,4), B: (-6,4)Answer:DExplanation:A)B)C)D)50)50)A)E: (-6,-6), G: (2,-6)B)E: (2,4), G: (-6,-5)C)E: (-6,2), G: (-6,-5)D)E: (-6,2), G: (-5,-6)Answer:DExplanation:A)B)C)D)19

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Solve the equation.51)2(x+5)=5-4(x+5)51)A)25B)-256C)256D)16Answer:BExplanation:A)B)C)D)Find an equation for the circle.52)Endpoints of a diameter (-1,-5), (-1,5)52)A)x2+(y+5)2=1B)(x+1)2+y2=25C)(x+5)2+y2=1D)(x+1)2+y2=5Answer:BExplanation:A)B)C)D)Evaluate as requested.53)A graph of a function f is shown below. Find f(1).53)A)0B)-2C)1D)2Answer:AExplanation:A)B)C)D)20

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Determine whether the graph is the graph of a function.54)54)A)YesB)NoAnswer:BExplanation:A)B)Solve the problem.55)If an object is dropped from a tower of unknown height, the velocity of the object after t secondscan be obtained by multiplying t by 32 and adding 10 to the result. Therefore, you can express V asa linear function of t. Find the domain of this function.55)A)[1, 4]B)[0,Q)C)(-1,Q)D)(-Q,Q)Answer:BExplanation:A)B)C)D)Graph the equation using the slope and the y-intercept.56)2x-y=056)21

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A)B)C)D)Answer:CExplanation:A)B)C)D)22

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Find the domain and range of the function represented in the graph.57)57)A)Domain: [-6,-1); Range: [-3, 2)B)Domain: [-3, 2) ; Range: [-6,-1)C)Domain: (-Q, 3 ]; Range: (2,Q)D)Domain: (-3, 2 ]; Range: (-6,-1]Answer:BExplanation:A)B)C)D)23

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Solve and give interval notation for the solution set. Then graph the solution set.58)1-4xL6or 1-4x<258)A)-54,-14B)gQ,-14154,QC)-54,14D)gQ,-541-14,QAnswer:DExplanation:A)B)C)D)Graph the equation.59)y=12x-359)24

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A)B)C)D)Answer:AExplanation:A)B)C)D)Find the midpoint of the segment having the given endpoints.60)(-2,-4) and (9,0)60)A)(-11,-4)B)(7,-4)C)72,-2D)-112,-2Answer:CExplanation:A)B)C)D)Graph the equation.25

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61)y=-3x-361)A)B)C)D)Answer:CExplanation:A)B)C)D)26

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Solve and graph the solution set.62)9x-10K8x-1262)A){x|x>9} or (9,Q)B){x|xL-2} or [-2,Q)C){x|x<9} or (-Q,9)D){x|xK-2} or (-Q,-2]Answer:DExplanation:A)B)C)D)Tell whether or not the relation is a function.63){(-6,-6), (-6,-3), (-1,-6), (6,-2), (7,6)}63)A)YesB)NoAnswer:BExplanation:A)B)Determine the equation of the line described. Put answer in the slope-intercept form, if possible.64)Through (-1,5), perpendicular to-5x-2y=1564)A)y=12x+152B)y=-25x+275C)y=25x+275D)y=52x+52Answer:CExplanation:A)B)C)D)27

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Find the slope of the line containing the given points.65)(8,-4) and (8,-8)65)A)14B)not definedC)0D)-34Answer:BExplanation:A)B)C)D)Plot the two points given by the ordered pairs.66)A(0,1), B(-4,2)66)A)B)28

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C)D)Answer:DExplanation:A)B)C)D)Find the domain of the function.67)f(x)=x+967)A){x|xL9}, or[9,Q)B){x|xL-9}, or[-9,Q)C){x|xJ9}, or(-Q,9)1(9,Q)D)all real numbers, or (-Q,Q)Answer:BExplanation:A)B)C)D)Plot the two points given by the ordered pairs.68)A(-5, 0), B(-5,4)68)29

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