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College Math Agility > Algebra Infrastructure > Flashcards

Algebra Infrastructure Flashcards

ACT/SAT/College Math Infrastructure

1
Q

6 ÷ 3 =

A

2

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2
Q

-15 ÷ -5 =

A

3

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3
Q

-35 ÷ 7 =

A

-5

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4
Q

-55 ÷ -11 =

A

5

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5
Q

77 ÷ 11 =

A

7

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6
Q

91 ÷ -13 =

A

-7

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7
Q

8 ÷ 4 =

A

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8
Q

-10 ÷ -5 =

A

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9
Q

-14 ÷ 7 =

A

-2

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10
Q

-16 ÷ -8 =

A

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11
Q

24 ÷ 12 =

A

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12
Q

34 ÷ -17 =

A

-2

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13
Q

36 ÷ 18 =

A

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14
Q

-38 ÷ -19 =

A

2

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15
Q

-9 ÷ 3 =

A

-3

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16
Q

-15 ÷ -5 =

A

3

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17
Q

18 ÷ 6 =

A

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18
Q

21 ÷ -7 =

A

-3

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19
Q

24 ÷ 8 =

A

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20
Q

-33 ÷ -11 =

A

3

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21
Q

-39 ÷ 13 =

A

-3

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22
Q

-45 ÷ -15 =

A

3

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23
Q

51 ÷ 17 =

A

3

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24
Q

32 ÷ -8 =

A

-4

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25
Q

64 ÷ 16 =

A

4

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26
Q

-52 ÷ -13 =

A

4

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27
Q

-44 ÷ 11 =

A

-4

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28
Q

-6 ÷ -3 =

A

2

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29
Q

8 ÷ 4 =

A

2

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30
Q

10 ÷ -5 =

A

-2

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31
Q

12 ÷ 6 =

A

2

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32
Q

-14 ÷ -7 =

A

2

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33
Q

-16 ÷ 8 =

A

-2

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34
Q

-18 ÷ -9 =

A

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35
Q

20 ÷ 10 =

A

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36
Q

22 ÷ -11 =

A

-2

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37
Q

24 ÷ 12 =

A

2

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38
Q

-26 ÷ -13 =

A

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39
Q

-28 ÷ 14 =

A

-2

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40
Q

-30 ÷ -15 =

A

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41
Q

32 ÷ 16 =

A

2

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42
Q

34 ÷ -17 =

A

-2

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43
Q

36 ÷ 18 =

A

2

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44
Q

-38 ÷ -19 =

A

2

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45
Q

-12 ÷ 4 =

A

-3

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46
Q

-15 ÷ -5 =

A

3

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47
Q

18 ÷ 6 =

A

3

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48
Q

21 ÷ -7 =

A

-3

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49
Q

24 ÷ 8 =

A

3

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50
Q

-27 ÷ -9 =

A

3

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51
Q

-30 ÷ 10 =

A

-3

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52
Q

-33 ÷ -11 =

A

3

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53
Q

36 ÷ 12 =

A

3

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54
Q

39 ÷ -13 =

A

-3

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55
Q

42 ÷ 14 =

A

3

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56
Q

-45 ÷ -15 =

A

3

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57
Q

-48 ÷ 16 =

A

-3

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58
Q

-51 ÷ -17 =

A

3

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59
Q

54 ÷ 18 =

A

3

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60
Q

20 ÷ -5 =

A

-4

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61
Q

24 ÷ 6 =

A

4

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62
Q

-28 ÷ -7 =

A

4

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63
Q

-32 ÷ 8 =

A

-4

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64
Q

-36 ÷ -9 =

A

4

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65
Q

40 ÷ 10 =

A

4

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66
Q

44 ÷ -11 =

A

-4

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67
Q

48 ÷ 12 =

A

4

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68
Q

-52 ÷ -13 =

A

4

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69
Q

-56 ÷ 14 =

A

-4

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70
Q

-60 ÷ -15 =

A

4

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71
Q

64 ÷ 16 =

A

4

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72
Q

68 ÷ -17 =

A

-4

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73
Q

30 ÷ 6 =

A

5

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74
Q

-35 ÷ -7 =

A

5

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75
Q

-40 ÷ 8 =

A

-5

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76
Q

-45 ÷ -9 =

A

5

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77
Q

50 ÷ 10 =

A

5

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78
Q

55 ÷ -11 =

A

-5

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79
Q

60 ÷ 12 =

A

5

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80
Q

-65 ÷ -13 =

A

5

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81
Q

-70 ÷ 14 =

A

-5

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82
Q

-75 ÷ -15 =

A

5

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83
Q

80 ÷ 16 =

A

5

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84
Q

42 ÷ -7 =

A

-6

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85
Q

48 ÷ 8 =

A

6

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86
Q

-54 ÷ -9 =

A

6

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87
Q

-60 ÷ 10 =

A

-6

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88
Q

-66 ÷ -11 =

A

6

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89
Q

72 ÷ 12 =

A

6

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90
Q

78 ÷ -13 =

A

-6

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91
Q

84 ÷ 14 =

A

6

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92
Q

-90 ÷ -15 =

A

6

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93
Q

-56 ÷ 8 =

A

-7

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94
Q

-63 ÷ -9 =

A

7

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95
Q

70 ÷ 10 =

A

7

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96
Q

77 ÷ -11 =

A

-7

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97
Q

84 ÷ 12 =

A

7

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98
Q

-91 ÷ -13 =

A

7

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99
Q

-98 ÷ 14 =

A

-7

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100
Q

-72 ÷ -9 =

A

8

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101
Q

80 ÷ 10 =

A

8

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102
Q

88 ÷ -11 =

A

-8

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103
Q

96 ÷ 12 =

A

8

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104
Q

-104 ÷ -13 =

A

8

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105
Q

-90 ÷ 10 =

A

-9

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106
Q

-99 ÷ -11 =

A

9

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107
Q

108 ÷ 12 =

A

9

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108
Q

110 ÷ -11 =

A

-10

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109
Q

2 ^ 2 =

A

4

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110
Q

-2 ^ 3 =

A

-8

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111
Q

2 ^ 4 =

A

16

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112
Q

-2 ^ 5 =

A

-32

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113
Q

2 ^ 6 =

A

64

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114
Q

-2 ^ 7 =

A

-128

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115
Q

2 ^ 8 =

A

256

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116
Q

-2 ^ 9 =

A

-512

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117
Q

2 ^ 10 =

A

1024

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118
Q

-3 ^ 2 =

A

9

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119
Q

3 ^ 3 =

A

27

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120
Q

-4 ^ 2 =

A

16

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121
Q

5 ^ 2 =

A

25

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122
Q

-6 ^ 2 =

A

36

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123
Q

7 ^ 2 =

A

49

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124
Q

-8 ^ 2 =

A

64

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125
Q

9 ^ 2 =

A

81

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126
Q

-10 ^ 2 =

A

100

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127
Q

11 ^ 2 =

A

121

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128
Q

-12 ^ 2 =

A

144

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129
Q

13 ^ 2 =

A

169

130
Q

-14 ^ 2 =

A

196

131
Q

15 ^ 2 =

A

225

132
Q

2 ^ -1 =

A

0.5

133
Q

2 ^ -2 =

A

0.25

134
Q

3 ^ -1 =

A

0.33

135
Q

3 ^ -2 =

A

0.11

136
Q

3 √ 8 =

A

2

137
Q

3 √ 27 =

A

3

138
Q

4 √ 16 =

A

2

139
Q

4 √ 81 =

A

3

140
Q

5 √ 32 =

A

2

141
Q

6 √ 64 =

A

2

142
Q

7 √ 128 =

A

2

143
Q

8 √ 256 =

A

2

144
Q

9 √ 512 =

A

2

145
Q

10 √ 1024 =

A

2

146
Q

2 √ 9 =

A

3

147
Q

2 √ 16 =

A

4

148
Q

2 √ 25 =

A

5

149
Q

2 √ 36 =

A

6

150
Q

2 √ 49 =

A

7

151
Q

2 √ 64 =

A

8

152
Q

2 √ 81 =

A

9

153
Q

2 √ 100 =

A

10

154
Q

2 √ 121 =

A

11

155
Q

2 √ 144 =

A

12

156
Q

2 √ 169 =

A

13

157
Q

2 √ 196 =

A

14

158
Q

2 √ 225 =

A

15

159
Q

3 √ -8 =

A

-2

160
Q

3 √ -27 =

A

-3

161
Q

3 √ -125 =

A

-5

162
Q

4 ^ 3 =

A

64

163
Q

5 ^ 3 =

A

125

164
Q

Convert to decimal 1/2 =

A

0.50

165
Q

Convert to decimal 1/3 =

A

0.33

166
Q

Convert to decimal 1/4 =

A

0.25

167
Q

Convert to decimal 1/5 =

A

0.20

168
Q

Convert to decimal 1/6 =

A

0.17

169
Q

Convert to decimal 1/7 =

A

0.14

170
Q

Convert to decimal 1/8 =

A

0.13

171
Q

Convert to decimal 1/9 =

A

0.11

172
Q

Convert to decimal 1/10 =

A

0.10

173
Q

2 ^ -1 =

A

1/2

174
Q

3 ^ -1 =

A

1/3

175
Q

4 ^ -1 =

A

1/4

176
Q

5 ^ -1 =

A

1/5

177
Q

6 ^ -1 =

A

1/6

178
Q

7 ^ -1 =

A

1/7

179
Q

8 ^ -1 =

A

1/8

180
Q

9 ^ -1 =

A

1/9

181
Q

10 ^ -1 =

A

1/10

182
Q

a+b =

A

a+b (given the information cannot be simplified further)

183
Q

a x b =

A

ab

184
Q

a divided by b =

A

a/b

185
Q

a over b =

A

a/b

186
Q

a/b reciprocal =

A

b/a

187
Q

2 reciprocal =

A

1/2 or .5

188
Q

3 reciprocal =

A

1/3 or .33

189
Q

4 reciprocal =

A

1/4 or .25

190
Q

5 reciprocal =

A

1/5 or .20

191
Q

6 reciprocal =

A

1/6 .or .167

192
Q

7 reciprocal =

A

1/7 or .142

193
Q

8 reciprocal =

A

1/8 or .125

194
Q

9 reciprocal =

A

1/9 or .111

195
Q

10 reciprocal =

A

1/10 or .1

196
Q

Simplify .10 =

A

.1

197
Q

Simplify .100 =

A

.1

198
Q

Simplify .1000 =

A

.1

199
Q

Simplify .10000 =

A

.1

200
Q

1 * 10 =

A

10

201
Q

2 * 100 =

A

200

202
Q

3 * 10 =

A

30

203
Q

10 * 100 =

A

1000

204
Q

100 * 10 =

A

1000

205
Q

20 * 1000 =

A

20000

206
Q

a * 10 =

A

10a

207
Q

b * 100 =

A

100b

208
Q

c * 1000 =

A

1000c

209
Q

d * 10 =

A

10d

210
Q

100a ÷ 10 =

A

10a

211
Q

10b ÷ 100 =

A

b/10

212
Q

c ÷ -10 =

A

-c/10

213
Q

1000d ÷ -1000 =

A

-d

214
Q

10000e ÷ -10000 =

A

-e

215
Q

10abc ÷ 10 =

A

abc

216
Q

-100def ÷ -100 =

A

def

217
Q

10a ÷ a =

A

10

218
Q

37b ÷ b =

A

37

219
Q

-.2de ÷ d =

A

-.2e

220
Q

-.56abc ÷ a =

A

-.56bc

221
Q

(a+b) ÷ a =

A

1+b/a

222
Q

(-a-b) ÷ -a =

A

1+b/a

223
Q

(2a+a) ÷ a =

A

2+1 = 3

224
Q

(-3a-2a-a) ÷ -a =

A

3+2+1 = 6

225
Q

(ab+ac+ad) ÷ -a =

A

b+c+d

226
Q

2a+a + a =

A

4a

227
Q

-3a-2a-a + a =

A

-5a

228
Q

ab+ac+ad + ab =

A

2ab+ac+ad

229
Q

-a ÷ -1 =

A

a

230
Q

-a * -1 =

A

a

231
Q

-c * -1 =

A

c

232
Q

-3 ÷ -1 =

A

3

233
Q

-1000 * -1 =

A

1000

234
Q

3 ÷ 10 =

A

0.3

235
Q

4 ÷ 100 =

A

0.04

236
Q

5 ÷ 1000 =

A

0.005

237
Q

6 ÷ -10 =

A

-0.6

238
Q

7 ÷ -100 =

A

-0.07

239
Q

2 ÷ 2 =

A

1

240
Q

-78 ÷ -78 =

A

1

241
Q

-b ÷ -b =

A

1

242
Q

c ÷ -c =

A

-1

243
Q

-d ÷ d =

A

-1

244
Q

4 ÷ -4 =

A

-1

245
Q

a * a =

A

a^2

246
Q

a^2 * a^3 =

A

a^5

247
Q

a^2 * b =

A

(a^2)b

248
Q

b^-3 * b^-1 =

A

b^-4

249
Q

b^-4 * b^-2 =

A

b^-6

250
Q

a^-1 * a =

A

1

251
Q

a^-2 * a^2 =

A

1

252
Q

1 * -1 =

A

-1

253
Q

3 * 1 =

A

3

254
Q

12 * 0 =

A

0

255
Q

a * -1 =

A

-a

256
Q

ab * 1 =

A

ab

257
Q

b * 0 =

A

0

258
Q

1 ÷ -1 =

A

-1

259
Q

3 ÷ 1 =

A

3

260
Q

12 ÷ 0 =

A

undefined

261
Q

a ÷ -1 =

A

-a

262
Q

ab ÷ 1 =

A

ab

263
Q

b ÷ 0 =

A

undefined

264
Q

1 ^ -1 =

A

0.1

265
Q

3 ^ 1 =

A

3

266
Q

12 ^ 0 =

A

1

267
Q

a ^ -1 =

A

1/a

268
Q

ab ^ 1 =

A

ab

269
Q

b ^ 0 =

A

b

270
Q

1 + -1 =

A

0

271
Q

3 + 1 =

A

4

272
Q

12 + 0 =

A

12

273
Q

a + -1 =

A

a-1

274
Q

ab + 1 =

A

ab+1

275
Q

b + 0 =

A

b

276
Q

1 - (-1) =

A

2

277
Q

3 - 1 =

A

2

278
Q

12 - 0 =

A

12

279
Q

a - (-1) =

A

a+1

280
Q

ab - 1 =

A

ab-1

281
Q

b - 0 =

A

b

282
Q

a ÷ 0 =

A

undefined

283
Q

-a ÷ 0 =

A

undefined

284
Q

a * 0 =

A

0

285
Q

a - a =

A

0

286
Q

-a + a =

A

0

287
Q

-a * 0 =

A

0

288
Q

-a ^ 0 =

A

1

289
Q

-a ÷ -a =

A

1

290
Q

a ^ 0 =

A

1

291
Q

a ÷ a =

A

1

292
Q

-a ÷ a =

A

-1

293
Q

-a * -1 =

A

a

294
Q

-a ÷ -1 =

A

a

295
Q

a ^ 1 =

A

a

296
Q

a * 1 =

A

a

297
Q

a + 0 =

A

a

298
Q

a ÷ 1 =

A

a

299
Q

a - 0 =

A

a

300
Q

a ÷ -1 =

A

-a

301
Q

a * -1 =

A

-a

302
Q

-a * 1 =

A

-a

303
Q

-a ÷ 1 =

A

-a

304
Q

-a + 0 =

A

-a

305
Q

-a ^ 1 =

A

-a

306
Q

-a - 0 =

A

-a

307
Q

a + a =

A

2a

308
Q

a + -1 =

A

a-1

309
Q

a - 1 =

A

a-1

310
Q

a + 1 =

A

a+1

311
Q

a - (-1) =

A

a+1

312
Q

a * a =

A

a^2

313
Q

a ^ -1 =

A

1/a

314
Q

a ^ a =

A

a^a (this is NOT a^2)

315
Q

-a * a =

A

-(a^2)

316
Q

-a + -1 =

A

-a-1

317
Q

-a + 1 =

A

-a+1

318
Q

-a - (-1) =

A

-a+1

319
Q

-a - 1 =

A

-a-1

320
Q

-a - a =

A

-2a

321
Q

-a ^ -1 =

A

1/-a

322
Q

-a ^ a =

A

-a^a (this is NOT -a^2)

College Math Agility (9 decks)

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