Test bank for graphical approach to college algebra 4th edition by john hornsby lial rockswold

Test Bank for Graphical Approach to College Algebra 4th Edition
by John Hornsby Lial Rockswold
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MULTIPLE CHOICE. Choose the one alternative that best completes
the statement or answers the question.
For the set, list all elements that belong to the specified set .
1)

1)

Integers
A)

7,

B) 0, -5,

3

C) 7,

-5

D) 7

2)

2)
Whole numbers
A) 16

B) 16,

-2, 0

C) 16, -2

D) 16, 0

3)

3)
Natural numbers
A) -20, 0

4)

B) 0

C) 4

{ 13,
, -10, 0}
Real numbers
A) 13, -10, 0

4)
B) 13

D)
C) 13, 0

5)

{ 3,
, -8, 0, . 65}
Irrational numbers
A)

13,

, -10, 0
5)

B = { 20,
, -21, 0, . 70}
Rational numbers
A) 20, -21, 0, . 70

B)

, . 70
D) 20, 0

C)

6)

D) 0, 4

6)

B)

,

C)

, -8

D)

, . 65

0,.
65

For the measured quantity, state the set of numbers that is most appropriate to
describe it. Choose from the natural numbers, integers, and rational numbers.
7) Number of students in various high schools
A) Rational numbers

7)


B) Integers
C) Natural numbers
8) Hat sizes
A) Integers
B) Rational numbers

8)

C) Natural numbers
9) Temperatures given in a weather forecast for Alaska
A) Integers
B) Rational numbers
C) Natural numbers

9)


10) High temperatures during heat waves in California
A) Integers
B) Natural numbers
C) Rational numbers

10)

11) Net annual incomes of local manufacturers, in dollars
A) Natural numbers
B) Integers
C) Rational numbers

11)

12) The lengths of randomly cut pieces of string (measured using a ruler)
A) Natural numbers
B) Integers
C) Rational numbers

12)

13) The populations of armies of termites living in the walls of houses
A) Rational numbers
B) Natural numbers
C) Integers

13)

14) The lengths of randomly cut pieces of string (measured to the nearest
inch)
A) Integers
B) Natural numbers
C) Rational numbers

14)

15) The average speeds of race cars for one lap at Wilmot Speedway
A) Natural numbers
B) Integers
C) Rational numbers

15)

16) The number of cars sold in an average month at Bob's Auto Sales
A) Rational numbers
B) Natural numbers
C) Integers

16)

Graph the set of numbers on a number line.
17) { -6, -4, -2, 0}

17)

A)
B)
C)
D)

18) { -10, -8, -6,
A)

-4}

18)


B)
C)
D)

19)

19)

A)
B)
C)

D)

20) { -1.5, 0.5, 3.25, -3.5}

20)

A)
B)
C)
D)

21)

21)

A)
B)
C)
D)

22)

22)


A)
B)
C)
D)

Locate the point on a rectangular coordinate system. Identify the quadrant , if any, in which the
point lies.
23) ( 9, 18)
23)
A) III
B) II
C) I
D) IV
24) ( 12, -3)
A) IV

B) II

C) III

D) I

25) ( -15, 12)
A) IV

B) II

C) III

D) None

26) ( -5, -5)
A) I

B) II

C) IV

D) III

24)

25)

26)

27)

27)
A) IV

B) II

C) III

D) None

28)

28)
A) I

29) (0, 0)
A) II

B) II

C) IV

D) None

B) I

C) IV

D) None

29)

Name the possible quadrants in which the point (x, y) can lie if the condition is true.
30) yx < 0
A) II or IV
B) I or II
C) II or III
D) III or IV
31) 0 < xy
A) III or IV

30)

31)
B) II or IV

C) II or III

D) I or III

32)

32)
<0
A) II or III

B) II or IV

C) III or IV

D) I or II

Give the values of Xmin, Xmax, Ymin, and Ymax for the screen, given the values for Xscl and
Yscl.
33)


33)

Xscl = 1,
Yscl = 1
A) [-10, 10] by [-10, 10]
C) [10, -10] by [10, -10]

B) [5, -5] by [5, -5]
D) [-5, 5] by [-5, 5]

34)

34)

Xscl = 2, Yscl; = 2
A) [-10, 10] by [-10, 10]
C) [-5, 5] by [-5, 5]

B) [5, -5] by [5, -5]
D) [10, -10] by [10, -10]

35)

35)

Xscl = 1, Yscl = 1
A) [15, -5] by [15, -5]
C) [5, -15] by [5, -15]

B) [-5, 15] by [-5, 15]
D) [-15, 5] by [-15, 5]

36)

36)

Xscl = 10, Yscl = 10
A) [-4, 4] by [-3, 3]
C) [-40, 40] by [-30, 30]
37)

B) [-3, 3] by [-4, 4]
D) [-30, 30] by [-40, 40]


37)

Xscl = 5,
Yscl = 5
A) [-2, 12] by [-2, 16]
C) [-10, 60] by [-10, 80]

B) [-2, 16] by [-2, 12]
D) [-10, 80] by [-10, 60]

38)

38)

Xscl = 4, Yscl = 2
A) [-20, 20] by [-10, 10]
C) [-10, 10] by [-10, 10]

B) [-10, 10] by [-20, 20]
D) [-5, 5] by [-5, 5]

39)

39)

Xscl = 15, Yscl = 10

A) [-20, 20] by [-10, 50]
C) [-2, 2] by [-5, 1]

B) [-30, 30] by [-50, 10]
D) [-50, 10] by [-30, 30]

40)

40)

Xscl = 2, Yscl = .2
A) [-5, 5] by [-5, 5]
C) [-10, 10] by [-1, 1]
41)

B) [-10, 10] by [-10, 10]
D) [-1, 1] by [-10, 10]


41)

Xscl = 7,
Yscl = 8
A) [-2, 3] by [-4, 5]
C) [-16, 24] by [-28, 35]

B) [-4, 5] by [-2, 3]
D) [-28, 35] by [-16, 24]

42)

42)

Xscl = .3, Yscl = .5
A) [-1.5, 1.5] by [-2, 2]
C) [-5, 5] by [-4, 4]

B) [-4, 4] by [-5, 5]
D) [-15, 15] by [-20, 20]

Find a decimal approximation of the root or power. Round the answer to the nearest
thousandth.
43)
A) 2.449
B) 6.000
C) 2.454
D) 2.446
44)

43)

44)
A) 7.746

B) 7.751

C) 60.000

D) 7.743

A) 18.574

B) 18.579

C) 345.000

D) 18.571

45)

45)

46)

46)
A) 96.876

B) 96.873

C) 9385.000

D) 96.881

A) 22.797

B) 22.769

C) 22.000

D) 22.782

47)

47)

48)

48)
A) 676

B) -26

C) 17,576

D) 2.962

49)

49)
A) -4.752

50) 661/ 7
A) 1.819

B) 22.583

C) 4.752

D) -22.583

B) -462.000

C) 9.429

D) 462.000

50)


51)

51)
A) 6.315

B) 7.915

C) 5.615

D) 4.615

Approximate the expression to the nearest thousandth.
52)
A) 9.817

B) 13.312

52)

C) 13.275

D) 12.288

53)

53)
A) -24.017

B) -22.006

C) 24.018

D) 22.006

54)

54)
A) -0.141

55)

B) -0.164

C) -0.217

D) -0.15

2.9(
) - 2( 8.7) + 6
A) 16.124
B) 28.124

C) 22.124

D) -50.876

55)

Find the length of the unknown side of the right triangle. In each case, a and b represent the
lengths of the legs and c represents the length of the hypotenuse.

56) a = 32, b =
A) 68

60; find c
B)

57) a = 16, c =
A)

34; find b
B) 30

58) a =

,b=
A) 397

59) b = 6, c =
A) 8

; find c
B) 25

56)
C) 4624

D) 2576
57)

C) 1156

D) 1412

C) 5

D)

58)

10; find a

59)
B) 7

C) 10

D) 9

Find the distance between P and Q and the coordinates of the midpoint of the segment joining P
and Q.

60) P( 3, 7), Q( 7, 5)
60)
A) 2;

B) 2

;

C) 2;

D) 2

;

61) P( 7, -8), Q( -8,
A)
3

C)

12;

-5)

61)
B)

;

3

D)

;

12;

Suppose that P is the endpoint of a segment PQ and M is the midpoint of PQ. Find the
coordinates of endpoint Q.
62)

P( 5, 1),


62)
M
A)

B)

C) Q( 2,

7)

D)
Q

63)

63)

P( 6, -7), M
A) Q

B) Q( 2,

5)

C)

D)

Solve the problem.
64) The graph shows the Total Gross Revenue (in millions of dollars) of Top 100
Internet Companies in the United States between 2000 and 2004. Use the
midpoint formula to estimate the revenue for 2002.
Total Gross Revenue of Top 100 Internet Companies

a = 5000 million dollars; b = 12,600 million dollars
A) 8800 million dollars
C) 50,000 million dollars

B) 17,500 million dollars
D) 7600 million dollars

65) The graph shows an idealized linear relationship for the average monthly
payments (in dollars) to retirees from 2000 through 2004. Use the midpoint
formula to estimate the payment for 2002.
Average Monthly Payments to Retirees

64)


65)

a = $452;
b=
$540
A) $ 540

B) $ 44

C) $500

D) $ 496

66) The table lists how financial aid income cutoffs (in dollars) for a family
of four have changed over time. Use the midpoint formula to
approximate the financial aid cutoff for 1985.

A) $21,000

B) $18,000

C) $36,000

66)

D) $57,000

67) An isosceles triangle has at least two sides of equal length. Determine
whether the triangle with vertices
and
is isosceles.
A) Yes
B) No

67)

68) An isosceles triangle has at least two sides of equal length. Determine
whether the triangle with vertices
and
is isosceles.
A) Yes
B) No

68)

Provide an appropriate response.
69) Is

a rational or irrational number?
A) Irrational
C) Both rational and irrational

69)
B) Rational
D) Neither

70) Are both 1 and -4 natural numbers, integers, or irrational numbers?

A) Natural numbers
B) Irrational numbers
C) Integers
D) None of the above

70)

71) Are both 5 and
natural numbers, integers, or irrational numbers?
A) Irrational numbers
B) Natural numbers
C) Integers
D) None of the above

71)

72) Are both

72)

and

natural numbers, integers, or irrational numbers?


A) Irrational numbers
C) Natural numbers

B) Integers
D) None of the above

73) In what quadrant of the
cartesian system does P( 8,
A) IV
B) III
C) I
74) In what quadrant of the
xy-plane does P( 1,
-1) lie?
A) I
B) IV
C) II

10) lie?
D) II

73)

74)
D) III

75) In what quadrant of the
cartesian system
would you plot P( -4, 7) ?
A) IV
B) II
C) III
D) I

75)

1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)

29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
39)
40)
41)
42)
43)
44)
45)
46)
47)
48)
49)
50)
51)

B
D
C
D
A
A

C
B
A
B
B
C
B
B
C
B
B
C
A
C
D
A
C
A
B
D
D
B
D
A
D
B
D
A
B
D

D
A
B
C
D
A
A
A
A
A
D
D
C
A
C


52)
53)
54)
55)
56)
57)
58)
59)
60)
61)
62)
63)
64)

65)
66)
67)
68)
69)
70)
71)
72)
73)
74)
75)

D
D
C
C
A
B
C
A
B
B
C
B
A
D
C
A
B
B

C
D
A
C
B
B