10/11/11 Assignment ASU

ASU 10/11/11 Assignment
Choose any 10 problems for Home Work ( Keep in mind at least one problem on each model)

GEOMETRY ASU

34.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin.  Sketch the graph of the equation.             y2 = x + 3
	Ans:	Symmetric with respect to the x-axis
	Difficulty Level:  Difficult     Objective:  3     Section:  1

35.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin.  Sketch the graph of the equation.             y + 1 = x2
	Ans:	Symmetric with respect to the y-axis
	Difficulty Level:  Difficult     Objective:  3     Section:  1

Use the following to answer questions 36-37:             9x2 + y2 = 36

36.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin.
	A)	Symmetric with respect to the x-axis
	B)	Symmetric with respect to the y-axis
	C)	Symmetric with respect to the origin
	D)	Symmetric with respect to the x-axis, the y-axis, and the origin

37.	Sketch the graph of the equation.
	A)		C)
	B)		D)

38.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin.  Sketch the graph of the equation.             y2 = | x | + 2
	Ans:	Symmetric with respect to the x-axis, the y-axis, and the origin

39.	Find the distance between  (–6, 4) and (0, –4).
	Ans:	10
40.	Find the midpoint of the line segment with endpoints (–5, –2) and (7, 6).
	Ans:	(1, 2)
41.	Find the distance between (–3, –2) and (1, 4).
	A)  27    B)      C)      D)

42.	Find the midpoint of the line segment with endpoints (–5, –5) and (7, 9).
	A)  (2, 4)    B)  (–12, –14)    C)  (1, 2)    D)  (–6, –7)
43.	Write the equation of a circle with center (0, 0) and radius 6.

44.	Write the equation of a circle with center (0, 0) and radius 4.

45.	Write the equation of a circle with center (0, 2) and radius .

46.	Write the equation of a circle with center (–5, –5) and radius .

47.	Write an equation for the given set of points.  Graph your equation.             The set of all points that are two units from (–3, 1)

48.	The midpoint of the line segment with endpoints (10, 1) and (b1, b2) is (6, 5).  Find b1 and b2.
49.	Find x such that (x, 5) is 10 units from (–2, 11)

50.	Write the equation of the circle.
51.	Write the equation of the circle.

52.	Write the equation of the circle.
53.	Write the equation of the circle.

54.	Find the center and radius of the circle.              x2 + y2 = 25.
55.	Find the center and radius of the circle.              x2 + y2 = 31
56.	Find the center and radius of the circle.              x2 + (y + 1)2 = 25.
57.	Find the center and radius of the circle.              (x + 5)2 + (y – 3)2 = 49.
58.	Find the center and radius of the circle.              x2 + y2 – 2y = 15

59.	Find the center and radius of the circle.              x2 + y2 – 6x + 8y = 14

60.	Find the center and radius of the circle.              3x2 + 3y2 – 18x + 6y – 162 = 0

61.	Graph the circle by finding the center and radius.             x2 + y2 = 16
62.	Graph the circle by finding the center and radius.             (x – 2)2 + (y – 1)2 = 9
	Ans:	Center (2, 1), radius 3
	Difficulty Level:  Moderate     Objective:  3     Section:  2

63.	Graph the circle by finding the center and radius.             (x – 2)2 + (y + 3)2 = 16
64.	Graph the circle by finding the center and radius.             x2 + 6x + y2 = 7

65.	Graph the circle by finding the center and radius.             x2 – 4x + y2 = 12
	A)		C)
	B)		D)
66.	Graph the circle by finding the center and radius.             x2 + 4x + y2 = 0
	A)		C)
	B)		D)
67.	Graph the circle by finding the center and radius.             x2 + y2 – 4x + 6y = 3
	Difficulty Level:  Difficult     Objective:  3     Section:  2

68.	Write the equation of a circle whose diameter has endpoints (2, –7) and (2, 1).
69.	Find the equation of a circle with center (2, –3) and the graph of which contains the point (3, 4).
	A)	(x – 2)2 + (y + 3)2 = 50	C)	(x – 2)2 + (y + 3)2 =
	B)	(x + 2)2 + (y – 3)2 = 50	D)	(x + 2)2 + (y – 3)2 =

Use the following to answer questions 70-73:

70.	Find the x-intercept of the line.

71.	Find the y-intercept of the line.
72.	Find the slope of the line.
73.	Write the equation of the line in slope-intercept form.
	Use the following to answer questions 74-77:

74.	Find the x-intercept of the line.
	A)  3    B)  0    C)  –3    D)  No x-intercept
75.	Find the y-intercept of the line.
	A)  –3    B)  0    C)  3    D)  No y-intercept
76.	Find the slope of the line.
	A)  –3    B)  0    C)  3    D)  Undefined
77.	Write the equation of the line.
	A)  y = –3x    B)  y = 3x    C)  x = –3    D)  y = –3
78.	Graph y = .  Indicate the slope, if it exists.
79.	Graph .  Indicate the slope, if it exists.

80.	Graph .  Indicate the slope, if it exists.
81.	Graph 6x + 2y = 0.  Indicate the slope, if it exists.
82.	Graph 2x – 5y = 10.  Indicate the slope, if it exists.
83.	Graph 4x – 3y = 6.  Indicate the slope, if it exists.

Use the following to answer questions 84-85:             3x + 4y = 12

84.	Graph the line.
	A)		C)
	B)		D)
85.	Indicate the slope.
	A)      B)      C)      D)
	Use the following to answer questions 86-87:             3x + 2y = 6

86.	Graph the line.
	A)		C)
	B)		D)
87.	Indicate the slope.
	A)      B)      C)      D)
88.	Graph .  Indicate the slope, if it exists.
89.	Graph .  Indicate the slope, if it exists.
	Use the following to answer questions 90-91:             x = 3

90.	Graph the line.
	A)		C)
	B)		D)
91.	Indicate the slope, if it exists.
	A)  3    B)  0    C)  –3    D)  Undefined
	Use the following to answer questions 92-93:             y = –3

92.	Graph the line.
	A)		C)
	B)		D)
93.	Indicate the slope, if it exists.
	A)  3    B)  0    C)  –3    D)  Undefined
94.	Graph y = –1.  Indicate the slope, if it exists.
	Difficulty Level:  Moderate     Objective:  1     Section:  3

95.	Graph y = 4.  Indicate the slope, if it exists.
	Ans:	Slope = 0

96.	Find the equation of the line with slope –6 and y-intercept 3.  Write the equation in standard form Ax + By = C, A ≥ 0.
	A)  6x – y = 3    B)  6x – y = –3    C)  6x + y = 3    D)  6x + y = –3
97.	Write the equation of the line with slope  and y-intercept –5.  Write the equation in standard form Ax + By = C, A ≥ 0.
98.	Write the equation of the line with slope  and y-intercept 3.  Write the equation in standard form Ax + By = C, A ≥ 0.
99.	Write the equation of the line with slope 0 and y-intercept –7.  Write the equation in standard form Ax + By = C, A ≥ 0.
	A)  –7x – y = 0    B)  –7x + y = 0    C)  y = –7    D)  x = –7
100.	Write the equation of the line that passes through point (0, –4) with slope .  Give your answer in the slope-intercept form y = mx + b.
101.	Write the equation of the line that passes through point (–2, 9) with a slope of –2.  Give your answer in the slope-intercept form y = mx + b.
102.	Sketch a graph of the line that contains the point (0, 3) and has slope –3.  Then write the equation of the line in the slope intercept form y = mx + b.
103.	Sketch a graph of the line that contains the point (1, –2) and has slope 2.  Then write the equation of the line in the slope intercept form y = mx + b.
104.	Sketch a graph of the line that contains the point (–3, –4) and has slope .  Then write the equation of the line in the slope intercept form y = mx + b.

105.	Write the equation of the line passing through (–6, –19) and (–2, –11).  Write your answer in the slope-intercept form y = mx + b.
	Ans:	y = 2x – 7
	Difficulty Level:  Difficult     Objective:  3     Section:  3
106.	Write the equation of the line passing through (–3, –5) and (3, 0).  Write your answer in the slope-intercept form y = mx + b.
	A)      B)      C)      D)
	Ans:  B     Difficulty Level:  Difficult     Objective:  3     Section:  3
107.	Write the equation of the line passing through (–1, –1) and (1, –1).  Write your answer in the slope-intercept form y = mx + b.
	Ans:	y = –1
	Difficulty Level:  Moderate     Objective:  3     Section:  3
108.	Sketch a graph of the line that contains the points (3, 2) and (–3, 6) .  Then write the equation of the line in the slope intercept form y = mx + b.
109.	Write the equation of the line passing through (0, –5) and (0, 1).
	A)  x = 0    B)  y = 0    C)  y = x + 0    D)  y = 6x
110.	Write the equation of the line with x-intercept (4, 0) and y-intercept (0, 1).  Write your answer in the slope-intercept form y = mx + b.
111.	Write an equation of the line passing through (6, 3), and parallel to y = 2x + 8.  Write your answer in standard form Ax + By = C, A ≥ 0.
112.	Write an equation of the line passing through (–8, –3), and perpendicular to y = .  Write your answer in standard form Ax + By = C, A ≥ 0.
	A)  4x + y = –35    B)  4x – y = –35    C)  x + 4y = –20    D)  x – 4y = –20
113.	Write the equation of the line passing through (–7, 1) and parallel to the y-axis.  Write your answer in standard form Ax + By = C, A ≥ 0.
	A)  y = –7    B)  y = 1    C)  x = –7    D)  x = 1
114.	Write the equation of the line passing through (0, 6) and perpendicular to x – 6y = 30.  Write your answer in standard form Ax + By = C, A ≥ 0.
115.	Write the equation of the line which passes through (2, –1) and is perpendicular to the line with equation 3y – x = 1.
	A)  3x + y = 5    B)  3x – y = 7    C)  x + 3y = –1    D)  x – 3y = 5
	Use the following to answer questions 127-129: The regression model for the data shown in the table is y = 2.3x + 3.9. x y 4 14 1 6 3 9 2 9 5 17 7 20 6 16

127.	Plot the data and the model on the same axes.
	Ans:
	Difficulty Level:  Moderate     Objective:  3     Section:  4

128.	Use the model to estimate y when x = 3.5.
	Ans:	11.95
129.	Use the model to estimate y when x = 50.
	Use the following to answer questions 130-132: The regression model for the data shown in the table is y = –3.0x + 134.6. x y 10 114 8 108 15 77 14 87 20 75 17 94

130.	Plot the data and the model on the same axes.
131.	Use the model to estimate y when x = 11.5.
	A)  99.7    B)  99.9    C)  100.1    D)  100.3
132.	Use the model to estimate y when x = 45.
	A)  –0.5    B)  –0.4    C)  –0.3    D)  –0.2

Use the following to answer questions 133-135: x y 2 15 5 12 6 16 11 14 12 20 15 35 20 38 21 42 24 47

133.	Plot the data from the table.
134.	Find a linear regression model for the data.  Round regression coefficients to two significant digits.
135.	Plot the data from the table and the linear regression model on the same axes.
	Use the following to answer questions 136-138: The data in the table show the height x (in inches) compared to the shoe size y worn for a random sample of 12 males. x y 64 9 66 10 67 9.5 76 11.5 71.5 13 62 9 65.5 11 68 10.5 73 12 63 12 70 11 65 10

136.	Find a linear regression model for the data.
	A)	y = 0.48x – 1.15	C)	y = 0.28x – 1.35
	B)	y = 0.38x – 1.25	D)	y = 0.18x – 1.45