Test Bank For Precalculus, 11th Edition

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ExamName___________________________________MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers thequestion.Solve the problem.1)The height of a baseball (in feet) at time t (in seconds) is given by y=-16x2+80x+5. Which one ofthe following points is not on the graph of the equation?1)A)(1, 69)B)(4, 69)C)(2, 117)D)(3, 101)Answer:CExplanation:A)B)C)D)Find the slope-intercept form of the equation of the line with the given properties.2)2)Slope=6; containing the point (-2,-7)A)y=-6x-5B)y=6x+5C)y=6x-5D)y=-6x+5Answer:BExplanation:A)B)C)D)Find the midpoint of the line segment joining the pointsP1andP2.3)3)P1=(0.5,-0.8);P2=(1.3,-2.7)A)(0.9,-1.75)B)(-1.75,0.9)C)(-0.95,0.4)D)(0.4,-0.95)Answer:AExplanation:A)B)C)D)List the intercepts for the graph of the equation.4)x2+y-16=04)A)(-4, 0), (0,-16),(4, 0)B)(4, 0), (0,16), (0,-16)C)(0,-4), (16, 0),(0,4)D)(-4, 0), (0,16),(4, 0)Answer:DExplanation:A)B)C)D)1

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Find the general form of the equation for the line with the given properties.5)Slope=34; y-intercept=345)A)3x+4y=-3B)y=34x-34C)3x-4y=-3D)y=34x+34Answer:CExplanation:A)B)C)D)List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none ofthese.6)6)A)intercept: (0,2)symmetric with respect to originB)intercept: (0,2)symmetric with respect to y-axisC)intercept: (2, 0)symmetric with respect to x-axisD)intercept: (2, 0)symmetric with respect to y-axisAnswer:BExplanation:A)B)C)D)2

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Solve.7)7)Each month a beauty salon gives x manicures for $12.00/manicure. The cost to the owner of thebeauty salon for each manicure is $7.35. The monthly fixed cost to maintain a manicure station is$120.00. Write an equation that relates the monthly profit, in dollars, to the number of manicuresgiven each month. Then use the equation to find the monthly profit when 200 manicures are givenin a month.A)P=4.65x-120; $810B)P=4.65x; $930C)P=7.35x-120; $1350D)P=12x-120; $2280Answer:AExplanation:A)B)C)D)Graph the line containing the point P and having slope m.8)8)P=(-1,-10); m=0A)B)3

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C)D)Answer:AExplanation:A)B)C)D)Find an equation for the line, in the indicated form, with the given properties.9)9)Containing the points (-3,9) and (0,-7);general formA)12x-7y=-49B)-16x-3y=21C)-12x+7y=-49D)16x-3y=21Answer:BExplanation:A)B)C)D)Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.10)y=-8x3+3x10)A)x-axisB)originC)y-axisD)x-axis, y-axis, originE)noneAnswer:BExplanation:A)B)C)D)E)Graph the equation by plotting points.4

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11)11)y=x-4A)B)C)D)Answer:AExplanation:A)B)C)D)5

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List the intercepts and type(s) of symmetry, if any.12)y2=-x+412)A)intercepts: (0,-4), (2, 0), (-2, 0)symmetric with respect to y-axisB)intercepts: (4, 0), (0,2), (0,-2)symmetric with respect to x-axisC)intercepts: (0,4), (2, 0), (-2, 0)symmetric with respect to y-axisD)intercepts: (-4, 0), (0,2), (0,-2)symmetric with respect to x-axisAnswer:BExplanation:A)B)C)D)List the intercepts for the graph of the equation.13)y=x3-813)A)(0,-8), (2, 0)B)(0,-2), (0,2)C)(-8, 0), (0,2)D)(0,-2), (-2, 0)Answer:AExplanation:A)B)C)D)Solve.14)14)A vendor has learned that, by pricingcaramel applesat $1.00, sales will reach119caramel applesper day. Raising the price to$1.75will cause the sales to fall to83caramel applesper day. Let ybe the number ofcaramel applesthe vendor sells at x dollars each. Write a linear equation thatrelates the number ofcaramel applessold per day to the price x.A)y=-148x+571148B)y=-48x-167C)y=-48x+167D)y=48x+71Answer:CExplanation:A)B)C)D)Find the distance d(P1,P2) between the pointsP1andP2.15)15)P1=(-3,-2);P2=(1,4)A)20B)2C)205D)213Answer:DExplanation:A)B)C)D)6

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Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.16)4x2+9y2=3616)A)originB)y-axisC)x-axisD)x-axis, y-axis, originE)noneAnswer:DExplanation:A)B)C)D)E)Solve the problem.17)17)If a satellite is placed in a circular orbit of420kilometers above the Earth, what is the equation ofthe path of the satellite if the origin is placed at the center of the Earth (the diameter of the Earth isapproximately 12,740 kilometers)?A)x2+y2=176,400B)x2+y2=173,185,600C)x2+y2=40,576,900D)x2+y2=46,104,100Answer:DExplanation:A)B)C)D)Write the equation in slope-intercept form.18)18)6x+7y=1A)y=67x+17B)y=76x-16C)y=127x+17D)y=6x+12Answer:AExplanation:A)B)C)D)7

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Find the general form of the equation of the the circle.19)19)Center at the point (-4,-3); containing the point (-3, 3)A)x2+y2+6x-6y-17=0B)x2+y2+6x+8y-17=0C)x2+y2-6x+6y-12=0D)x2+y2+8x+6y-12=0Answer:DExplanation:A)B)C)D)Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.20)y2-x-81=020)A)originB)x-axisC)y-axisD)x-axis, y-axis, originE)noneAnswer:BExplanation:A)B)C)D)E)Find the slope of the line and sketch its graph.21)21)4x-5y=28

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A)slope=-54B)slope=45C)slope=-45D)slope=54Answer:BExplanation:A)B)C)D)Find the slope and y-intercept of the line.22)22)y=2x+3A)slope=2; y-intercept=3B)slope=3; y-intercept=2C)slope=-2; y-intercept=-3D)slope=12; y-intercept=-3Answer:AExplanation:A)B)C)D)9

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Identify the points in the graph for the ordered pairs.23)23)(-3, 4), (2, 0), (4,-5)A)A, B, and FB)B, C, and LC)F, K, and LD)B, F, and LAnswer:DExplanation:A)B)C)D)Solve the problem.24)24)A wildlife researcher is monitoring a black bear that has a radio telemetry collar with atransmitting range of30miles. The researcher is in a research station with her receiver andtracking the bear's movements. If we put the origin of a coordinate system at the research station,what is the equation of all possible locations of the bear where the transmitter would be at itsmaximum range?A)x2+y2=30B)x2-y2=30C)x2+y2=900D)x2+y2=60Answer:CExplanation:A)B)C)D)10

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Find the slope of the line through the points and interpret the slope.25)25)A)-2; for every 1-unit increase in x, y will decrease by2unitsB)-12; for every2-unit increase in x, y will decrease by 1 unitC)12; for every2-unit increase in x, y will increase by 1 unitD)2; for every 1-unit increase in x, y will increase by2unitsAnswer:CExplanation:A)B)C)D)Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.26)26)y=(x-8)(x-5)A)x-axisB)originC)y-axisD)x-axis, y-axis, originE)noneAnswer:EExplanation:A)B)C)D)E)11

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Solve the problem.27)27)If (-2,-2) is the endpoint of a line segment, and (-1,1) is its midpoint, find the other endpoint.A)(4,0)B)(0,-5)C)(-4,-8)D)(0,4)Answer:DExplanation:A)B)C)D)Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.28)28)(2,-6)A)Quadrant IIB)Quadrant IC)Quadrant IVD)Quadrant III12

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Answer:CExplanation:A)B)C)D)List the intercepts for the graph of the equation.29)4x2+9y2=3629)A)(-4, 0), (-9, 0), (9, 0), (4, 0)B)(-9, 0), (0,-4), (0,4), (9, 0)C)(-2, 0), (-3, 0), (3, 0), (2, 0)D)(-3, 0), (0,-2), (0,2), (3, 0)Answer:DExplanation:A)B)C)D)Find the slope-intercept form of the equation of the line with the given properties.30)Horizontal; containing the point-12,230)A)y=0B)y=-12C)y=-2D)y=2Answer:DExplanation:A)B)C)D)Graph the circle with radius r and center (h, k).31)31)r=4; (h, k)=(-1,3)13

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A)B)C)D)Answer:BExplanation:A)B)C)D)Graph the line containing the point P and having slope m.32)32)P=(5, 0); m=-114

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