Deck 1: Preliminaries
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Deck 1: Preliminaries
1
Find the distance between the pair of points. (8, -7), (-3, 7)
A)
B) 317
C) 241
D)
A)

B) 317
C) 241
D)


2
Solve the inequality. -11 < -9 - x < -6
A) x > -3 or x < 2
B) x > -2 or x < 3
C) -3 < x < 2
D) -2 < x < 3
A) x > -3 or x < 2
B) x > -2 or x < 3
C) -3 < x < 2
D) -2 < x < 3
-3 < x < 2
3
Solve the inequality. |3x + 2| > 11
A)
or x > 3
B) -3 < x < 3
C)
D) all reals
A)

B) -3 < x < 3
C)

D) all reals

4
Find an equation of the line with slope
passing through point
.
A)
B)
C)
D)


A)

B)

C)

D)

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5
Find an equation of the line with slope
passing through point
.
A)
B)
C)
D)


A)

B)

C)

D)

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6
Solve the inequality. 
A) x < 1 or x > 5
B) 1 < x < 5
C) x < -3 or x > 5
D) x < -3 or -3 < x < 1 or x > 5

A) x < 1 or x > 5
B) 1 < x < 5
C) x < -3 or x > 5
D) x < -3 or -3 < x < 1 or x > 5
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7
Solve the inequality. 
A) ( )
B) x < -5
C)
D) all reals

A) ( )
B) x < -5
C)

D) all reals
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8
Determine if the two lines are parallel, perpendicular, or neither.
and 
A) parallel
B) perpendicular
C) neither


A) parallel
B) perpendicular
C) neither
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9
Solve the inequality. |3x - 6| < 18
A) -8 < x < 8
B) x < -4 or x > 8
C) -4 < x < 8
D) all reals
A) -8 < x < 8
B) x < -4 or x > 8
C) -4 < x < 8
D) all reals
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10
Solve the inequality. 
A)
B)
C)
D)

A)

B)

C)

D)

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11
Determine if the two lines are parallel, perpendicular, or neither.
and 
A) parallel
B) perpendicular
C) neither


A) parallel
B) perpendicular
C) neither
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12
Solve the inequality. 4x2 + 2 > 0
A) ( )
B)
C)
D) all reals
A) ( )
B)

C)

D) all reals
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13
Find an equation of the line with slope
passing through point
.
A)
B)
C)
D)


A)

B)

C)

D)

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Unlock Deck
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14
Determine if the two lines are parallel, perpendicular, or neither.
and 
A) parallel
B) perpendicular
C) neither


A) parallel
B) perpendicular
C) neither
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15
Find the slope m of the line through the given points. A (-4, 5) and B (-8, -4)
A)
B)
C)
D)
A)

B)

C)

D)

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16
Determine if the given points are collinear. (4, -2), (6, 2), (0, -11)
A) Yes
B) No
A) Yes
B) No
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17
Solve the inequality. -6 - 6x > -30
A) x < 4
B) x > 4
C) x > 6
D) x < 6
A) x < 4
B) x > 4
C) x > 6
D) x < 6
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18
Find the slope m of the line through the given points.
and 
A)
B)
C)
D)


A)

B)

C)

D)

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19
Determine if the given points are collinear. (-2, 5), (0, 10), (-6, -5)
A) Yes
B) No
A) Yes
B) No
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20
Solve the inequality. 7x - 7 > 7
A) x < 2
B) x > 2
C) x > 0
D) x < 0
A) x < 2
B) x > 2
C) x > 0
D) x < 0
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21
Use the vertical line test to determine whether or not the graph is a function. 
A) function
B) not a function

A) function
B) not a function
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22
Decide whether y is a function of x. y = how far an object lands from the base of a building, x = the velocity with which the object is thrown horizontally
A) y is a function of x
B) y is not a function of x
A) y is a function of x
B) y is not a function of x
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23
Find the domain of the function. 
A)
B)
C)
D)

A)

B)

C)

D)

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24
Find the domain of the function. 
A)
B)
C)
D)

A)

B)

C)

D)

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25
Identify the given function as polynomial, rational, both or neither. 
A) polynomial, but not rational
B) rational, but not polynomial
C) both polynomial and rational
D) neither polynomial nor rational

A) polynomial, but not rational
B) rational, but not polynomial
C) both polynomial and rational
D) neither polynomial nor rational
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26
Identify the given function as polynomial, rational, both or neither. 
A) polynomial, but not rational
B) rational, but not polynomial
C) both polynomial and rational
D) neither polynomial nor rational

A) polynomial, but not rational
B) rational, but not polynomial
C) both polynomial and rational
D) neither polynomial nor rational
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27
Use the vertical line test to determine whether or not the graph is a function. 
A) function
B) not a function

A) function
B) not a function
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Unlock Deck
k this deck
28
Use the vertical line test to determine whether or not the graph is a function. 
A) function
B) not a function

A) function
B) not a function
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Unlock Deck
k this deck
29
Use the vertical line test to determine whether or not the graph is a function. 
A) function
B) not a function

A) function
B) not a function
Unlock Deck
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Unlock Deck
k this deck
30
Find the domain of the function. 
A)
B)
C)
D)

A)

B)

C)

D)

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31
Find an equation of the line through the point
and parallel to the line
.
A)
B)
C)
D)


A)

B)

C)

D)

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32
Identify the given function as polynomial, rational, both or neither. 
A) polynomial, but not rational
B) rational, but not polynomial
C) both polynomial and rational
D) neither polynomial nor rational

A) polynomial, but not rational
B) rational, but not polynomial
C) both polynomial and rational
D) neither polynomial nor rational
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Unlock Deck
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33
Find an equation of the line through the given points. 
A)
B)
C)
D)

A)

B)

C)

D)

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Unlock Deck
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34
Find an equation of the line through the point
and perpendicular to the line
.
A)
B)
C)
D)


A)

B)

C)

D)

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Unlock Deck
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35
Find an equation of the line through the point
and perpendicular to the line
.
A)
B)
C)
D)


A)

B)

C)

D)

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Unlock Deck
k this deck
36
Find the domain of the function. 
A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
Unlock for access to all 101 flashcards in this deck.
Unlock Deck
k this deck
37
Determine
when
.
A)
B)
C)
D)


A)

B)

C)

D)

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Unlock Deck
k this deck
38
Find an equation of the line through the given points. 
A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
Unlock for access to all 101 flashcards in this deck.
Unlock Deck
k this deck
39
Identify the given function as polynomial, rational, both or neither. 
A) polynomial, but not rational
B) rational, but not polynomial
C) both polynomial and rational
D) neither polynomial nor rational

A) polynomial, but not rational
B) rational, but not polynomial
C) both polynomial and rational
D) neither polynomial nor rational
Unlock Deck
Unlock for access to all 101 flashcards in this deck.
Unlock Deck
k this deck
40
Determine
when
.
A)
B)
C)
D)


A)

B)

C)

D)

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Unlock Deck
k this deck
41
A child's height h (in inches) closely resembles a linear function in terms of the child's age a (in years) if the child is between the ages of 5 and 10. The height of a certain youngster is 46 inches when the child is age 5, and 55 inches at age 7. Find a linear function relating a child's height h to his or her age a.
A)
B)
C)
D)
A)

B)

C)

D)

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42
A child's height h (in inches) closely resembles a linear function in terms of the child's age a (in years) if the child is between the ages of 5 and 10. The height of a certain youngster is 46 inches when the child is age 5, and 55 inches at age 7. Determine the height of a child when he is 10 years old.
A)
B)
C)
D)
A)

B)

C)

D)

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43
Find all intercepts of the graph of
.
A) x-int(s):
; y-int: 
B) x-int(s):
; y-int: 
C) x-int(s):
; y-int: 0
D) x-int(s):
; y-int: 

A) x-int(s):


B) x-int(s):


C) x-int(s):

D) x-int(s):


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44
Graph the following function and describe all extrema. Round answers to the nearest thousandth.

A)
No minimum nor maximum occurs.
B)
A minimum occurs at
.
No maximum occurs.
C)
A minimum occurs at
.
A maximum occurs at
.
D)
No minimum nor maximum occurs.


A)

B)


No maximum occurs.
C)


A maximum occurs at

D)

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45
Find all intercepts of the graph of
.
A) x-int(s):
; y-int: 
B) x-int(s):
; y-int: 
C) x-int(s):
; y-int: 
D) x-int(s):
; y-int: 

A) x-int(s):


B) x-int(s):


C) x-int(s):


D) x-int(s):


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46
Use the quadratic formula to find all the zeros. 
A)
B)
C)
D)

A)

B)

C)

D)

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Unlock Deck
k this deck
47
Graph the following function and describe all extrema.

A)
No minimum nor maximum occurs.
B)
A minimum occurs at
.
A maximum occurs at
.
C)
A minimum occurs at
.
A maximum occurs at
.
D)
A minimum occurs at
.
A maximum occurs at
.


A)

B)


A maximum occurs at

C)


A maximum occurs at

D)


A maximum occurs at

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48
Find all intercepts of the graph of
.
A) x-int(s):
; y-int: 
B) x-int(s):
; y-int: 
C) x-int(s):
; y-int: 
D) x-int(s):
; y-int: 

A) x-int(s):


B) x-int(s):


C) x-int(s):


D) x-int(s):


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49
Graph the following function and describe all vertical asymptotes. Round answers to the nearest hundredth.

A)
no vertical asymptotes
B)
vertical asymptote: x = 2.29
C)
vertical asymptote: x = 2.29
D)
vertical asymptote: x = -2.29


A)

B)

C)

D)

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50
Graph the following function and describe all intercepts.

A)
no x-intercepts
Y-intercept: (0, -2)
B)
x-intercepts:
, 
No y-intercepts
C)
no x-intercepts
Y-intercept: (0, 2)
D)
x-intercepts:
, 
No y-intercept


A)

Y-intercept: (0, -2)
B)



No y-intercepts
C)

Y-intercept: (0, 2)
D)



No y-intercept
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51
Graph the following function and describe all intercepts. Round answers to the nearest hundredth.

A)
x-intercepts: (-6.73, 0), (0.35, 0)
No y-intercept
B)
intercept: (0, 0)
C)
intercept: (0, 0)
D)
no intercepts


A)

No y-intercept
B)

C)

D)

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52
Graph the following function and describe all extrema. Round answers to the nearest hundredth.

A)
A minimum occurs at
.
A maximum occurs at
.
B)
A minimum occurs at
.
A maximum occurs at
.
C)
A minimum occurs at
.
A maximum occurs at
.
D)
. A minimum occurs at
.
A maximum occurs at
.


A)


A maximum occurs at

B)


A maximum occurs at

C)


A maximum occurs at

D)


A maximum occurs at

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53
Graph the following function and describe all intercepts. Round answers to the nearest thousandth.

A)
no x-intercept
Y-intercept: (0, -0.021)
B)
no x-intercept
Y-intercept = (0, 0.021)
C)
x-intercepts: (-4, 0), (-1, 0)
Y-intercept: (0, 4)
D)
x-intercepts: (4,0), (1, 0)
Y-intercept: (0, 4)


A)

Y-intercept: (0, -0.021)
B)

Y-intercept = (0, 0.021)
C)

Y-intercept: (0, 4)
D)

Y-intercept: (0, 4)
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54
Graph the following function and describe all vertical asymptotes. Round answers to the nearest hundredth.

A)
vertical asymptote: x = -1.71
B)
vertical asymptote: x = 1.71
C)
vertical asymptote: x = 1.71
D)
vertical asymptote: x = -1.71


A)

B)

C)

D)

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55
Graph the following function and describe all intercepts. Round answers to the nearest hundredth.

A)
x-intercepts: (1,0), (-1, 0)
No y-intercept
B)
x-intercepts: (-2.70, 0), (-0.83, 0), (0.83, 0), (2.70, 0)
Y-intercept: (0, 5)
C)
x-intercepts: (-2.14, 0), (2.14,0)
Y-intercept: (0, 5)
D)
x-intercepts: (-2.70, 0), (-0.83,0 ), (0.83, 0), (2.70, 0)
Y-intercept: (0, -5)


A)

No y-intercept
B)

Y-intercept: (0, 5)
C)

Y-intercept: (0, 5)
D)

Y-intercept: (0, -5)
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56
Decide whether y is a function of x. y = the social security number and x = the birth date (day and month) of a sample of 1000 Americans
A) y is a function of x
B) y is not a function of x
A) y is a function of x
B) y is not a function of x
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k this deck
57
Graph the following function and describe all extrema. Round answers to the nearest hundredth.

A)
A minimum occurs at
.
A maxumum occurs at
.
B)
No minimum nor maximum occurs.
C)
No minimum occurs.
A maximum occurs at
.
D)
A minimum occurs at
.
A maximum occurs at
.


A)


A maxumum occurs at

B)

C)

A maximum occurs at

D)


A maximum occurs at

Unlock Deck
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Unlock Deck
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58
Use the quadratic formula to find all the zeros. 
A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
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Unlock Deck
k this deck
59
Use the quadratic formula to find all the zeros. 
A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
Unlock for access to all 101 flashcards in this deck.
Unlock Deck
k this deck
60
Graph the following function and describe all extrema.

A)
A minimum occurs at
.
No maximum occurs.
B)
No minimum occurs.
A maximum occurs at
.
C)
A minimum occurs at
.
No maximum occurs.
D)
No minimum occurs.
A maximum occurs at
.


A)


No maximum occurs.
B)

A maximum occurs at

C)


No maximum occurs.
D)

A maximum occurs at

Unlock Deck
Unlock for access to all 101 flashcards in this deck.
Unlock Deck
k this deck
61
Identify the amplitude, period and frequency of
.
A) amplitude =
period = 
Frequency =
B) amplitude =
period = 
Frequency =
C) amplitude =
period = 
Frequency =
D) amplitude =
period = 
Frequency =

A) amplitude =


Frequency =

B) amplitude =


Frequency =

C) amplitude =


Frequency =

D) amplitude =


Frequency =

Unlock Deck
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Unlock Deck
k this deck
62
Convert
to radians.
A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
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Unlock Deck
k this deck
63
Sketch the graph of the function on the interval
. 
A)
B)
C)
D)


A)

B)

C)

D)

Unlock Deck
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k this deck
64
Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth. 
A)
B)
C)
D) no real zeros

A)

B)

C)

D) no real zeros
Unlock Deck
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Unlock Deck
k this deck
65
Convert
to radians.
A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
Unlock for access to all 101 flashcards in this deck.
Unlock Deck
k this deck
66
Convert
radians to degrees. Round answer to the nearest tenth of a degree.
A) 446.0
B) 458.4
C) 525.9
D) 547.6

A) 446.0

B) 458.4

C) 525.9

D) 547.6

Unlock Deck
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k this deck
67
Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth. 
A)
B)
C)
D) no real zeros

A)

B)

C)

D) no real zeros
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Unlock for access to all 101 flashcards in this deck.
Unlock Deck
k this deck
68
Identify the amplitude, period and frequency of
.
A) amplitude =
period = 
Frequency =
B) amplitude =
period = 
Frequency =
C) amplitude =
period = 
Frequency =
D) amplitude =
period = 
Frequency =

A) amplitude =


Frequency =

B) amplitude =


Frequency =

C) amplitude =


Frequency =

D) amplitude =


Frequency =

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k this deck
69
Graph the following function and describe all vertical asymptotes.

A)
vertical asymptotes: 
B)
vertical asymptotes: 
C)
vertical asymptote: 
D)
vertical asymptotes: 


A)


B)


C)


D)


Unlock Deck
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70
Find all solutions of
.
A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
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Unlock Deck
k this deck
71
Find all solutions of
.
A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
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Unlock Deck
k this deck
72
Find all solutions to the equation
on the interval
.
A)

B)
C)

D)


A)


B)

C)


D)

Unlock Deck
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Unlock Deck
k this deck
73
Find the points of intersection of the two curves. Round answers to the nearest hundredth. 
A)
B)
C)
D) The curves do not intersect.

A)

B)

C)

D) The curves do not intersect.
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k this deck
74
Find the points of intersection of the two curves. Give exact values for the points. 
A)
B)
C)
D)

A)

B)

C)

D)

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k this deck
75
Graph the following function and describe all asymptotes. Round answers to the nearest hundredth.

A)
vertical asymptote: x = -2.21
B)
vertical asymptote: x = -2.21
C)
vertical asymptote: x = -4
D)
vertical asymptote: x = -4


A)

B)

C)

D)

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76
Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth. 
A)
B)
C)
D) no real zeros

A)

B)

C)

D) no real zeros
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77
Convert
radians to degrees.
A) 81
B) 93
C) 108
D) 136

A) 81

B) 93

C) 108

D) 136

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78
Graph
. 
A)
B)
C)
D)


A)

B)

C)

D)

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79
Graph
. 
A)
B)
C)
D)


A)

B)

C)

D)

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80
Find the points of intersection of the two curves. Round answers to the nearest hundredth. 
A)
B)
C)
D) The curves do not intersect.

A)

B)

C)

D) The curves do not intersect.
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Unlock for access to all 101 flashcards in this deck.
Unlock Deck
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