Deck 1: Real Numbers and Variable Expressions
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Deck 1: Real Numbers and Variable Expressions
1
Find the additive inverse of
.
A)
B) -7
C)
D) 0
E) 7

A)

B) -7
C)

D) 0
E) 7
-7
2
Place the correct symbol, < or >, between the two numbers. 
A)

B)


A)



B)






3
Evaluate: 
A) 57
B) -57
C) -56
D) 58
E) 56

A) 57
B) -57
C) -56
D) 58
E) 56
-57
4
Add: 
A) 10
B) 14
C) -14
D) -10
E) -6

A) 10
B) 14
C) -14
D) -10
E) -6
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5
Let
. Evaluate
for each element of the set.
A) 12, 0, -4
B) -12, 0, 4
C) -12, 0, -4
D) 12, 0, 4
E) 12, 1, -4


A) 12, 0, -4
B) -12, 0, 4
C) -12, 0, -4
D) 12, 0, 4
E) 12, 1, -4
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6
Place the correct symbol, < or >, between the two numbers. 
A) -22
4
B) -22
4

A) -22

B) -22

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7
Place the correct symbol, < or >, between the two numbers. 
A) -4
-15
B) -4
-15

A) -4

B) -4

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8
Place the correct symbol, < or >, between the two numbers: 53 33.
A)
B)
A)

B)

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9
Place the correct symbol, < or >, between the two numbers. 
A)

B)


A)



B)



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10
Evaluate: 
A) 85
B) -85
C) 86
D) -84
E) 84

A) 85
B) -85
C) 86
D) -84
E) 84
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11
Evaluate: 
A) 83
B) -83
C) -82
D) 84
E) 82

A) 83
B) -83
C) -82
D) 84
E) 82
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12
Place the correct symbol, < or >, between the two numbers. 
A)

B)


A)



B)



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13
Evaluate: 
A) 88
B) -88
C) -87
D) 89
E) 87

A) 88
B) -88
C) -87
D) 89
E) 87
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14
Add. 
A) -17
B) -19
C) 17
D) 19
E) 10

A) -17
B) -19
C) 17
D) 19
E) 10
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15
Let
. For which values of y is
true?
A) 4
B) -6
C) -11
D) -11, -6
E) -11, -6, 4


A) 4
B) -6
C) -11
D) -11, -6
E) -11, -6, 4
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16
Find the additive inverse of
.
A)
B) 3
C)
D) 0
E) -3

A)

B) 3
C)

D) 0
E) -3
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17
Add: 
A) 11
B) 5
C) -11
D) -5
E) 7

A) 11
B) 5
C) -11
D) -5
E) 7
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18
Evaluate: 
A) -53
B) 53
C) -52
D) 52
E) -54

A) -53
B) 53
C) -52
D) 52
E) -54
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19
Place the correct symbol, < or >, between the two numbers. 
A) -25
-45
B) -25
-45

A) -25

B) -25

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20
Let
. For which values of x is
true?
A) 9
B) -10, -4, 9
C) -10
D) -10, -4
E) -10, 9


A) 9
B) -10, -4, 9
C) -10
D) -10, -4
E) -10, 9
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21
Add: 
A) -65
B) 65
C) 15
D) -25
E) -45

A) -65
B) 65
C) 15
D) -25
E) -45
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22
Subtract: 10 - 23
A) 33
B) -18
C) -13
D) -16
E) -15
A) 33
B) -18
C) -13
D) -16
E) -15
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23
Subtract: 3 - (-12) - 5 - 5
A) 15
B) -19
C) 9
D) 2
E) 5
A) 15
B) -19
C) 9
D) 2
E) 5
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24
Subtract: -18 - 17
A) 35
B) 1
C) -35
D) -1
E) 306
A) 35
B) 1
C) -35
D) -1
E) 306
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25
Multiply: 
A) 7
B) -160
C) -7
D) -170
E) -27

A) 7
B) -160
C) -7
D) -170
E) -27
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26
Add: -11 + (-5) + 14
A) -30
B) -14
C) -2
D) 8
E) 3
A) -30
B) -14
C) -2
D) 8
E) 3
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27
Multiply: (31)20
A) 620
B) 608
C) 594
D) 630
E) 638
A) 620
B) 608
C) 594
D) 630
E) 638
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28
Add: 1 + (-6) + 7 + (-17)
A) -15
B) 19
C) -29
D) 17
E) -14
A) -15
B) 19
C) -29
D) 17
E) -14
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29
Subtract: 10 - (-12)
A) -2
B) 2
C) 19
D) 22
E) 25
A) -2
B) 2
C) 19
D) 22
E) 25
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30
Subtract: -3 - 30
A) 27
B) -34
C) -32
D) -33
E) -37
A) 27
B) -34
C) -32
D) -33
E) -37
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31
Subtract: 12 - (-14)
A) 26
B) -2
C) -26
D) 2
E) 168
A) 26
B) -2
C) -26
D) 2
E) 168
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32
Add: -15 + 17
A) -32
B) 32
C) -2
D) 2
E) 3
A) -32
B) 32
C) -2
D) 2
E) 3
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33
Add: 
A) 57
B) -78
C) 15
D) -15
E) 39

A) 57
B) -78
C) 15
D) -15
E) 39
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34
Subtract: -3 - (-21)
A) -24
B) 14
C) 20
D) 18
E) 22
A) -24
B) 14
C) 20
D) 18
E) 22
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35
Add: 
A) 26
B) 31
C) -19
D) 35
E) 19

A) 26
B) 31
C) -19
D) 35
E) 19
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36
Subtract: -12 - (-22)
A) -34
B) 34
C) -10
D) 10
E) -264
A) -34
B) 34
C) -10
D) 10
E) -264
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37
Add: 
A) 32
B) -48
C) 0
D) -32
E) 24

A) 32
B) -48
C) 0
D) -32
E) 24
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38
Subtract: 2 - 21
A) 23
B) -19
C) -23
D) 19
E) -42
A) 23
B) -19
C) -23
D) 19
E) -42
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39
Subtract: -14 - (-16) - 9 - 5
A) -12
B) 44
C) -2
D) 5
E) -4
A) -12
B) 44
C) -2
D) 5
E) -4
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40
Subtract: 15 - (-17) - 4
A) -2
B) 2
C) 28
D) 11
E) 56
A) -2
B) 2
C) 28
D) 11
E) 56
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41
Divide: 
A) -13
B)
C)
D) 13
E) 204

A) -13
B)

C)

D) 13
E) 204
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42
Find the temperature after a rise of 10
from -25
.
A) -15
B) -35
C) 15
D) -10
E) 35


A) -15

B) -35

C) 15

D) -10

E) 35

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43
Multiply: 
A) 308
B) 8
C) -36
D) 36
E) -8

A) 308
B) 8
C) -36
D) 36
E) -8
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44
Divide: 
A) 8
B) -8
C)
D)
E) 2592

A) 8
B) -8
C)

D)

E) 2592
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45
Multiply: 1(-4)(-6)
A) -18
B) 3
C) -10
D) -9
E) 24
A) -18
B) 3
C) -10
D) -9
E) 24
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46
Multiply: 
A) -140
B) -100
C) -80
D) 2
E) 1056

A) -140
B) -100
C) -80
D) 2
E) 1056
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47
Divide: 
A) -6
B) 6
C)
D)
E) -384

A) -6
B) 6
C)

D)

E) -384
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48
The temperature at which mercury boils is
. Mercury freezes at
. Find the difference between the temperature at which mercury boils and the temperature at which it freezes.
A) -399
B) 399
C) 398
D) 400
E) 100


A) -399

B) 399

C) 398

D) 400

E) 100

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49
Divide: 
A) -13
B)
C)
D) 0
E) Undefined

A) -13
B)

C)

D) 0
E) Undefined
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50
Divide: 
A)
B) 15
C)
D) -15
E) -154

A)

B) 15
C)

D) -15
E) -154
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51
Divide to evaluate
.
A) 11
B) 4
C) 0
D) -2
E) Undefined

A) 11
B) 4
C) 0
D) -2
E) Undefined
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52
Divide: 
A)
B) -8
C) 8
D)
E) -99

A)

B) -8
C) 8
D)

E) -99
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53
The daily low temperatures during one week were recorded as follows: 8
, -1
, 12
, 3
, -8
, -10
, -4
. Find the average daily low temperature for the week.
A) -1
B) -4
C) 0
D) 5
E) 1







A) -1

B) -4

C) 0

D) 5

E) 1

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54
Multiply: 
A) -285
B) 288
C) 285
D) -280
E) 273

A) -285
B) 288
C) 285
D) -280
E) 273
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55
Multiply: 
A) 17
B) 33
C) -33
D) 200
E) -200

A) 17
B) 33
C) -33
D) 200
E) -200
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56
The low temperatures for a 10-day period in a midwestern city were
. Calculate the average daily low temperature for this city.
A) -6
B) 2
C) -4
D) -3
E) 0

A) -6

B) 2

C) -4

D) -3

E) 0

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57
Divide: 
A)
B) 15
C) -13
D)
E) -15

A)

B) 15
C) -13
D)

E) -15
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58
Divide: 
A)
B) 22
C) -22
D)
E) -168

A)

B) 22
C) -22
D)

E) -168
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59
Multiply: 
A) 225
B) -224
C) -216
D) -221
E) 224

A) 225
B) -224
C) -216
D) -221
E) 224
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60
Multiply: 
A) 768
B) -864
C) 32
D) -768
E) -672

A) 768
B) -864
C) 32
D) -768
E) -672
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61
Write 0.45 as a percent.
A) 4.5 %
B) 45 %
C) 0.45 %
D) 0.045 %
E) 0.0045 %
A) 4.5 %
B) 45 %
C) 0.45 %
D) 0.045 %
E) 0.0045 %
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62
Write
% as a fraction.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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63
Write the following fraction as a decimal. 
A) 0.3
B) 0.42
C) 0.46
D) 2.5
E) 0.4

A) 0.3
B) 0.42
C) 0.46
D) 2.5
E) 0.4
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64
Write 0.59 as a percent.
A) 0.059 %
B) 5.9 %
C) 0.59 %
D) 59 %
E) 0.0059 %
A) 0.059 %
B) 5.9 %
C) 0.59 %
D) 59 %
E) 0.0059 %
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65
Write
as a percent.
A) 43 %
B) 86 %
C) 1.16 %
D) 430 %
E) 8.6 %

A) 43 %
B) 86 %
C) 1.16 %
D) 430 %
E) 8.6 %
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66
Write 9.35% as a decimal.
A) 93.5
B) 0.935
C) 9.35
D) 0.0935
E) 935
A) 93.5
B) 0.935
C) 9.35
D) 0.0935
E) 935
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67
Write 45.1% as a decimal.
A) 451
B) 0.0451
C) 45.1
D) 4.51
E) 0.451
A) 451
B) 0.0451
C) 45.1
D) 4.51
E) 0.451
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68
The combined scores of the top eight golfers in a tournament equalled -32 (32 under par). What was the average score of the eight golfers?
A) -16
B) -4
C) 1
D) 16
E) -32
A) -16
B) -4
C) 1
D) 16
E) -32
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69
Write
as a percent. Round to the nearest tenth of a percent, if necessary.
A) 4.5 %
B) 9 %
C) 0.1 %
D) 1.1 %
E) 11.1 %

A) 4.5 %
B) 9 %
C) 0.1 %
D) 1.1 %
E) 11.1 %
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70
Write 0.667 as a percent.
A) 0.00667 %
B) 6.67 %
C) 0.667 %
D) 66.7 %
E) 0.0667 %
A) 0.00667 %
B) 6.67 %
C) 0.667 %
D) 66.7 %
E) 0.0667 %
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71
Write 75% as a fraction and as a decimal.
A)
; 75
B)
; 0.75
C)
; 0.75
D)
; 7.5
E)
; 7.5
A)

B)

C)

D)

E)

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72
Write 125% as a fraction and as a decimal.
A)
; 0.25
B)
; 1.25
C)
; 0.125
D)
; 12.5
E)
; 125
A)

B)

C)

D)

E)

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73
Write
% as a fraction.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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74
Write 5.5% as a decimal.
A) 55
B) 0.055
C) 5.5
D) 0.55
E) 550
A) 55
B) 0.055
C) 5.5
D) 0.55
E) 550
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75
Write 9.35% as a decimal.
A) 0.0935
B) 0.935
C) 9.35
D) 93.5
E) 935
A) 0.0935
B) 0.935
C) 9.35
D) 93.5
E) 935
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76
Write
% as a fraction.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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77
Convert the fraction to a decimal. 
A) 0.465
B) 0.375
C) 0.475
D) 0.0375
E) 0.0475

A) 0.465
B) 0.375
C) 0.475
D) 0.0375
E) 0.0475
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78
To discourage guessing on a multiple-choice exam, a professor assigns 4 points for a correct answer, -2 points for an incorrect answer, and -1 point for leaving the question blank. What is the score for a student who had 18 correct answers, had 8 incorrect answers, and left 4 questions blank?
A) 52
B) 60
C) 84
D) 56
E) 36
A) 52
B) 60
C) 84
D) 56
E) 36
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79
Write the following fraction as a decimal. 
A) 0.15
B) 1.2
C) 0.34
D) 4.0
E) 0.25

A) 0.15
B) 1.2
C) 0.34
D) 4.0
E) 0.25
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80
Write 14% as a fraction and as a decimal.
A)
; 1.4
B)
; 14
C)
; 1.4
D)
; 0.14
E)
; 1400
A)

B)

C)

D)

E)

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