College algebra 4th edition beecher test bank

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Plot the two points given by the ordered pairs.
1) A(5, 4), B(-4, 4)
1) _______

A)

B)

C)

D)

2) A(2, -4), B(-3, 2)


2)

__
__
__
_

A)

B)

C)

D)

3) A(-6, -6), B(-1, 4)


3)

__
__
__
_

A)

B)

C)

D)

4) A(4, 6), B(1, -2)


4)

__
__
__
_

A)

B)

C)

D)

5) A(2, 2), B(-5, -5)


5)

__
__
__
_

A)

B)

C)

D)

6) A(0, 6), B(-3, 3)


6)

__

__
__
_

A)

B)

C)

D)

7) A(-4, 0), B(-1, 4)


7)

__
__
__
_

A)

B)

C)

D)

8) A(0, 0), B(3, 3)


8)

__
__
__
_

A)

B)

C)

D)

9) A(-4, 0), B(0, 3)


9)

__
__
__
_

A)

B)

C)

D)

Express the data in the graph as ordered pairs, letting the first coordinate represent the year and the second coordinate
the amount.
10) Summer Vacation:
The length of the average summer vacation is decreasing.


10)

A)
B)
C)
D)

___
___

(2003, 13.7), (2004, 13.7), (2005, 13.5), (2006, 13.1), (2007, 12.8), (2008, 12.5)
(2003, 13.7), (2004, 13.7), (2005, 13.1), (2006, 13.5), (2007, 12.8), (2008, 12.5)
(13.7, 2003), (13.7, 2004), (13.5, 2005), (13.1, 2006), (12.5, 2007), (12.8, 2008)
(13.7, 2003), (13.7, 2004), (13.5, 2005), (13.1, 2006), (12.8, 2007), (12.5, 2008)

11) Total Advertisement Spending for Basketball Tournament

A)

B)
C)
D)

11) ______

(305.78, 2003), (310.88, 2004), (314.44, 2005), (316.76, 2006), (320.7, 2007), (326.18, 2008)
(1, 305.78), (2, 310.88), (3, 314.44),( 4, 316.76), (5,320.7), (6, 326.18)
(2003, 310.88), (2004, 305.78), (2005, 314.44), (2006, 320.7), (2007, 316.76), (2008, 326.18)
(2003, 305.78), (2004, 310.88), (2005, 314.44), (2006, 316.76), (2007, 320.7), (2008, 326.18)

Use substitution to determine whether the given ordered pair is a solution of the given equation.
12) (-2, -14); y = 5x - 4
A) Yes
B) No
13) (4, 3); y = -3x + 15
A) Yes

B) No

14) (3, 3); 3x + 2y = 15
A) Yes

B) No

15) (5, 5); 2x - 3y = 25

12) ______

13) ______

14) ______

15) ______


A) Yes

B) No

16)

16) ______
; 4x + 8y = 5
A) Yes

B) No

17)

17) ______
; 6x - 4y = 1
A) Yes

B) No

18)

18) ______
; 6x - 4y = 1

A) Yes

19) (0, 5);
+
A) Yes
20) (2.1, 4.4);
A) Yes
21) (4, -1); 4x + 3
A) Yes

B) No
19) ______

= 25
B) No
+

20) ______

= 25
B) No

21) ______

= 19
B) No

Find the intercepts and then graph the line.
22) 5x + 2y = -10

A) x-intercept: (-2, 0); y-intercept: (0, 5)

C) x-intercept: (-5, 0); y-intercept: (0, -2)

22) ______

B) x-intercept: (-5, 0); y-intercept: (0, 2)


D)

x-i
nt
er
ce
pt:
(-2
,
0);
y-i
nt
er
ce
pt:
(0,
-5)

23) 2y - 4x = -8

A) x-intercept: (2, 0); y-intercept: (0, -4)

23) ______

B) x-intercept: (-2, 0); y-intercept: (0, 4)


C) x-intercept: (-2, 0); y-intercept: (0, -4)

D) x-intercept: (2, 0); y-intercept: (0, 4)

24) 4x + y = 4

24) ______

A) x-intercept: (-1, 0); y-intercept: (0, -4)

B) x-intercept: (1, 0); y-intercept: (0, 4)

C) x-intercept: (-1, 0); y-intercept: (0, 4)

D) x-intercept: (1, 0); y-intercept: (0, -4)

25) 3x - y = -6


25)

___
___

A) x-intercept: (-2, 0); y-intercept: (0, -6)

B) x-intercept: (2, 0); y-intercept: (0, 6)

C) x-intercept: (-2, 0); y-intercept: (0, 6)

D) x-intercept: (2, 0); y-intercept: (0, -6)

Graph the equation.
26) y = 5

A)

26) ______


B)

C)

27) y =

A)

C)

D)

27) ______

+1

B)


D)

28) y = -

28) ______

-5

A)

B)

C)

D)

29) y =

+4


29)

___
___

A)

B)

C)

D)

30) y = -3x - 2

A)

30) ______


B)

C)

D)

31) 3x + y = - 2

A)

C)

31) ______

B)


D)

32)

32) ______
y=

x-5

A)

B)

C)

D)


33) y =

33) ______

+ 6x + 4

A)

B)

C)

D)

34) y =

A)

- 8x + 12

34) ______


B)

C)

D)

Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three
decimal places.
35) (0, 0) and (x, y)
35) ______
A) x + y
B)
C)
D)
+
36)

36) ______
and
A)

37) (3, 3) and (7, 8)
A)
, 4.243
38) (1, 4) and (0, 7)
A)
, 4.472
39) (-3, -2) and (0, 2)
A) 25
40) (0.5, 1.0) and (3.4, 1.9)
A) 6.894
41) (-2.5, 2.9) and (4, -12.7)
A)
, 22.999

B)

C)

D)

37) ______
B)

, 1.414

C)

, 6.403

D)

, 9.055
38) ______

B)

, 3.162

C)

, 2.000

D)

, 2.828
39) ______

B) 7

C) 5

D)

, 7.071
40) ______

B) 5.880

C) 4.860

D) 3.036
41) ______

B)

, 14.181

C) 16.9

D) 33.8


Find the requested measurement.
42) The points (-2, -3) and (-2, 8) are the endpoints of the diameter of a circle. Find the length of the
radius of the circle.
A) 6
B) 5
C) 6.5
D) 5.5

42) ______

43) The point (-2, -3) is on a circle that has center (6, -3). Find the length of the diameter of the circle.
A) 16
B) 8

C) 16.5
D) 15

43) ______

44) The point (-2, -3) is on a circle that has center (-2, 8). Find the length of the diameter of the circle.
A) 22.5
B) 21
C) 22
D) 5.5

44) ______

Use the distance formula and the Pythagorean theorem to determine whether the set of points could be vertices of a
right triangle.
45) (3, 6), (7, 6), (7, 12)
45) ______
A) Yes
B) No
46) (3, -5), (5, -1), (7, -2)
A) Yes

46) ______
B) No

47) (-3, -4), (3, -2), (7, -14)
A) Yes

47) ______
B) No

48) (3, -6), (9, -4), (8, -9)
A) Yes

48) ______
B) No

49) (-4, -1), (2, 1), (8, -6)
A) Yes

B) No

50) (-7, -3), (4, -14), (6, -12)
A) Yes

B) No

49) ______

50) ______

Find the midpoint of the segment having the given endpoints.
51) (6, 1) and (2, 9)
A) (4, -8)
B)
C) (8, 10)

51) ______
D)

52) (-4, -2) and (-3, 1)
A)

B) (-1, -3)

C) (-7, -1)

D)

53) (7, 1) and (-16, -16)
A)

B) (9, 15)

C) (-9, -15)

D)

54) (0.6, 0.4) and (-2.8, -1.1)
A) (-1.1, -0.35)

B) (-0.35, -1.1)

C) (-0.75, -1.7)

D) (-1.7, -0.75)

55) (8, 1) and (1, 4)
A) (9, 5)

B)

C) (7, -3)

D)

56) (-4, -7) and (3, 5)
A) (-7, -12)

B)

52) ______

53) ______

54) ______

55) ______

56) ______


C)

57) (-1, 3) and (-6, -1)
A) (-7, 2)

D)

(-1

,
-2)
57) ______

B) (5, 4)

C)

D)

58)

58) ______
and
A) (64, 144)

B)

C) (4, 4)

D)

Answer the question.
59) The points (-6, 7) and (2, 5) are the points at which a particular diameter of a circle intersects the
circle. What are the coordinates of the center of the circle?
A) (-1, 6)
B) (-1, 7)
C) (-2, 6)
D) (-2, 7)

59) ______

60) The points ( , -2) and (12 , 15) are the points at which a particular diameter of a circle
intersects the circle. What are the coordinates of the center of the circle?
A)
B)
C)
D)

60) ______

61) The points (-6, 5) and (6, 5) are the points at which the diagonal of a square intersects the square.
What are the coordinates of the center of the square?
A) (0, 5)
B) (0, 6)
C) (1, 6)
D) (1, 5)

61) ______

62) The points ( , -2) and (6 , 3) are the points at which the diagonal of a square intersects the
square. What are the coordinates of the center of the square?
A)
B)
C)
D)

62) ______

63) The points (2, 3), (5, 6), ( 7, -2), and ( 10, 1) are the vertices of a quadrilateral. Is the quadrilateral a

rectangle?
A) Yes
B) No

63) ______

64) The points (2, 7), (5, 8), (7, 0), and (10, 3) are the vertices of a quadrilateral. Is the quadrilateral a
rectangle?
A) Yes
B) No

64) ______

65) Graph the rectangle with vertices (1, 4), (4, 7), (6, -1), and ( 9, 2). Are the midpoints of the sides of
the rectangle the vertices of a rectangle?
A) Yes
B) No

65) ______

66) Graph the rectangle with vertices (1, 4), (4, 7), ( 6, -1), and (9, 2). Are the midpoints of the sides

66) ______

the vertices
A) Yes
Find an equation for the circle.
67) Center at (-3, 0), radius 6
A)

B) No

67) ______


+

B)

=6

+

C)

+

=
36
D)

=6

68) Center at (0, -5), radius 1
A)
+
=

+

= 36
68) ______

B)

1

+

=

C)

1

+

D)

=

1

69) Center at (3, 7), radius
A)
+
= 100
C)
+
= 100

B)

+

= 10

D)

+

= 10

70) Center (23, 18), containing the origin
A)
+
= 853

B)

+

= 29

D)

+

= 29

C)

+

= 853

+

= 289

72) Endpoints of a diameter (-2, -5), (-2, 5)
A)
+
=4
C)

+

=4

73) Endpoints of a diameter (-8, 7), (2, 3)
A)
+
=4
C)

+

= 29

74) Center at (2, - 2), diameter of length 7.8
A)
+
= 3.9
C)

+

= 15.21

70) ______

71) ______

D)

+

= 10

+

= 100
72) ______

B)

+

= 25

D)

+

=5
73) ______

B)
D)

+
+

= 29
= 25
74) ______

B)

-

= 60.84

D)

+

= 15.21

75) The points (2, 5), (3 , 2), (5, 6), and (6, 3) are vertices of an inscribed square.
A)
B)
+
=
=
C)

+

=5

=

69) ______

71) Center (17, 10), tangent (touching at one point) to the x-axis
A)
B)
+
= 289
C)

+
1

D)

+

75) ______

=5

76)

76) ______
Center at (4, -8), radius of length
A)
C)

+

=

+

=4

B)

-

= 16

+

=

D)

Find the center and radius of the circle.
77)
+
= 144
A) (0, -6); 144
78)

79)

80)

81)

82)

+
A) (2, 1); 8

B) (-6, 0); 144

C) (6, 0); 12

78) ______
B) (1, 2); 64

C) (-1, -2); 64

B) (0, 10); 100

C) (10, 10); 100

D) (0, 0); 100
80) ______

B) (8, 0); 7

C) (-8, 0); 49

D) (0, 8); 49
81) ______

+
= 16
A) (0, 1); 4

B) (1, 0); 16

C) (-1, 0); 16

D) (0, -1); 4
82) ______

= 16
B) (6, 7); 16

C) (-6, -7); 4

Graph the circle using the given equation.

83) x2 + y2 = 81

C)

D) (-2, -1); 8
79) ______

+
= 49
A) (0, -8); 7

A)

D) (0, 6); 12

= 64

+
= 100
A) (0, 0); 10

+
A) (7, 6); 16

77) ______

D) (-7, -6); 4

83) ______

B)