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Math 1111 Quiz 2 Practice Fall 2007, Quizzes of Algebra

A math quiz for a college-level course, likely related to geometry or algebra. It includes multiple choice questions covering topics such as finding distances between points, determining if points form a right triangle, solving equations, and graphing lines and circles. Students are required to identify the correct answer from a list of options.

Typology: Quizzes

Pre 2010

Uploaded on 08/04/2009

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Math 1111 Quiz 2 Practice Fall 2007
Name: Last ____________________, First ____________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the distance d(
P
1
,
P
2
) between the points
P
1
and
P
2
1)
x
-8 -6 -4 - 2 2 4 6 8
y
8
6
4
2
-2
-4
-6
-8
x
-8 -6 -4 - 2 2 4 6 8
y
8
6
4
2
-2
-4
-6
-8
A)
194
B)
65
C)
8
D)
12
1)
2)
P
1
=
(
4
,
-
7
);
P
2
=
(
6
,
-
1
)
A)
4
B)
32 2
C)
2 10
D)
32
2)
Decide whether or not the points are the vertices of a right triangle.
3)
(
5
,
-
8
), (
11
,
-
6
), (
17
,
-
13
)
A)
Yes
B)
No
3)
Solve the problem.
4)
Find all values of k so that the given points are 29 units apart.
(-5, 5), (k, 0)
A)
7
B)
-
3,
-
7
C)
-
7
D)
3, 7
4)
Find the midpoint of the line segment joining the points
P
1
and
P
2
5)
P
1
=
(
0.8
,
-
0.5
);
P
2
=
(
2.9
,
-
2.7
)
A)
(
-
1.1
,
1.05
)
B)
(
1.85
,
-
1.6
)
C)
(
-
1.6
,
1.85
)
D)
(
1.05
,
-
1.1
)
5)
Solve the problem.
6)
If (
6
,
-
3
) is the endpoint of a line segment, and (
2
,
-
2
) is its midpoint, find the other endpoint.
A)
(
8
,
-
11
)
B)
(
-
2
,
-
1
)
C)
(
14
,
-
5
)
D)
(
-
2
,
-
4
)
6)
1
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

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Math 1111 Quiz 2 Practice Fall 2007

Name: Last ____________________, First ____________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the distance d(P 1

, P

) between the points P 1

and P 2

x -8 -6 -4 -2 2 4 6 8

y

8

6

4

2

x -8 -6 -4 -2 2 4 6 8

y

8

6

4

2

A) 194 B) 65 C) 8 D) 12

2) P

= ( 4 , - 7 ); P

A) 4 B) 32 2 C) 2 10 D) 32

Decide whether or not the points are the vertices of a right triangle.

A) Yes B) No

Solve the problem.

  1. Find all values of k so that the given points are 29 units apart.

(-5, 5), (k, 0)

A) 7 B) - 3, - 7 C) - 7 D) 3, 7

Find the midpoint of the line segment joining the points P 1

and P 2

5) P

= (0.8, - 0.5); P

A) (-1.1, 1.05) B) (1.85, - 1.6) C) (-1.6, 1.85) D) (1.05, - 1.1)

Solve the problem.

  1. If ( 6 ,
  • 3 ) is the endpoint of a line segment, and ( 2 , - 2 ) is its midpoint, find the other endpoint.

A) ( 8 ,

11 ) B) (

1 ) C) ( 14 ,

5 ) D) (

List the intercepts of the graph.

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

A) (0, - 3 ), ( 3 , 0), (0, 1 ) B) (- 3 , 0), (0, 3 ), ( 1 , 0)

C) (0, - 3 ), (0, 3 ), ( 1 , 0) D) (- 3 , 0), (0, 3 ), (0, 1 )

List the intercepts for the graph of the equation.

  1. y = x
  • 14x + 48

A) ( 6 , 0), ( 8 , 0), (0, 48 ) B) (0, 6 ), (0, 8 ), ( 48 , 0)

C) (0, - 6 ), (0, - 8 ), ( 48 , 0) D) (- 6 , 0), (- 8 , 0), (0, 48 )

  1. y =

x

8x

A) (- 8 , 0), ( 8 , 0) B) (0, 0)

C) (0, - 8 ), (0, 8 ) D) (- 64 , 0), (0, 0), ( 64 , 0)

Graph the equation by plotting points.

  1. y =

x

x -5 5

y

5

x -5 5

y

5

A)

x -5 5

y

5

x -5 5

y

5

B)

x -5 5

y

5

x -5 5

y

5

C)

x -5 5

y

5

x -5 5

y

5

D)

x -5 5

y

5

x -5 5

y

5

  1. x = y

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

A)

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

B)

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

C)

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

D)

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

  1. The average value of a certain type of automobile was $14,100 in 1991 and depreciated to $8040 in
  1. Let y be the average value of the automobile in the year x, where x = 0 represents 1991. Write

a linear equation that relates the average value of the automobile, y, to the year x.

A) y = - 1515 x + 1980 B) y = - 1515 x + 8040

C) y = -

x - 8040 D) y = - 1515 x + 14,

Find an equation for the line with the given properties.

  1. Parallel to the line 2 x

9 y

24 ; containing the point ( 3 ,

A) 2 x

  • 9 y = - 48 B) 9 x + 2 y = - 6 C) 3 x + 9 y = 24 D) 2 x + 9 y = -
  1. Perpendicular to the line y =

x + 8; containing the point (3, - 2)

A) y = - 9 x

  • 25 B) y = 9 x - 25 C) y = - 9 x + 25 D) y = -

x

Write the standard form of the equation of the circle with radius r and center (h, k).

  1. r = 6 ; (h, k) = (-1, 6)

A) (x + 6)

  • (y - 1)

= 36 B) (x - 6)

  • (y + 1)

C) (x + 1)

  • (y - 6)

= 6 D) (x - 1)

  • (y + 6)

Find the center (h, k) and radius r of the circle. Graph the circle.

  1. x
  • y
  • 12x - 8y + 48 = 0

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

A) (h, k) = ( 6 , - 4 ); r = 2

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

B) (h, k) = ( 6 , 4 ); r = 2

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

C) (h, k) = (- 6 , 4 ); r = 2

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

D) (h, k) = (- 6 , - 4 ); r = 2

x -10 -5 5 10

y

10

5

x -10 -5 5 10

y

10

5

Solve the problem.

  1. A power outage affected all homes and businesses within a 4 mi radius of the power station. If the

power station is located 1 mi west and 3 mi north of the center of town, find an equation of the

circle consisting of the furthest points from the station affected by the power outage.

A) (x - 1)

  • (y - 3)

= 16 B) (x + 1)

  • (y + 3)

C) (x + 1)

  • (y - 3)

= 16 D) (x - 1)

  • (y + 3)

Answer Key

Testname: MATH 1111 Q2 V1-FALL-

1) A

2) C

3) B

4) B

5) B

6) B

7) B

8) D

9) A

10) C

11) B

12) A

13) A

14) B

15) D

16) C

17) B

18) D

19) D

20) C

21) C

22) B

23) C

24) A

25) A

26) C