Algebra Infrastructure Flashcards
ACT/SAT/College Math Infrastructure (322 cards)
1
Q
6 ÷ 3 =
A
2
2
Q
-15 ÷ -5 =
A
3
3
Q
-35 ÷ 7 =
A
-5
4
Q
-55 ÷ -11 =
A
5
5
Q
77 ÷ 11 =
A
7
6
Q
91 ÷ -13 =
A
-7
7
Q
8 ÷ 4 =
A
2
8
Q
-10 ÷ -5 =
A
2
9
Q
-14 ÷ 7 =
A
-2
10
Q
-16 ÷ -8 =
A
2
11
Q
24 ÷ 12 =
A
2
12
Q
34 ÷ -17 =
A
-2
13
Q
36 ÷ 18 =
A
2
14
Q
-38 ÷ -19 =
A
2
15
Q
-9 ÷ 3 =
A
-3
16
Q
-15 ÷ -5 =
A
3
17
Q
18 ÷ 6 =
A
3
18
Q
21 ÷ -7 =
A
-3
19
Q
24 ÷ 8 =
A
3
20
Q
-33 ÷ -11 =
A
3
21
Q
-39 ÷ 13 =
A
-3
22
Q
-45 ÷ -15 =
A
3
23
Q
51 ÷ 17 =
A
3
24
Q
32 ÷ -8 =
A
-4
25
64 ÷ 16 =
4
26
-52 ÷ -13 =
4
27
-44 ÷ 11 =
-4
28
-6 ÷ -3 =
2
29
8 ÷ 4 =
2
30
10 ÷ -5 =
-2
31
12 ÷ 6 =
2
32
-14 ÷ -7 =
2
33
-16 ÷ 8 =
-2
34
-18 ÷ -9 =
2
35
20 ÷ 10 =
2
36
22 ÷ -11 =
-2
37
24 ÷ 12 =
2
38
-26 ÷ -13 =
2
39
-28 ÷ 14 =
-2
40
-30 ÷ -15 =
2
41
32 ÷ 16 =
2
42
34 ÷ -17 =
-2
43
36 ÷ 18 =
2
44
-38 ÷ -19 =
2
45
-12 ÷ 4 =
-3
46
-15 ÷ -5 =
3
47
18 ÷ 6 =
3
48
21 ÷ -7 =
-3
49
24 ÷ 8 =
3
50
-27 ÷ -9 =
3
51
-30 ÷ 10 =
-3
52
-33 ÷ -11 =
3
53
36 ÷ 12 =
3
54
39 ÷ -13 =
-3
55
42 ÷ 14 =
3
56
-45 ÷ -15 =
3
57
-48 ÷ 16 =
-3
58
-51 ÷ -17 =
3
59
54 ÷ 18 =
3
60
20 ÷ -5 =
-4
61
24 ÷ 6 =
4
62
-28 ÷ -7 =
4
63
-32 ÷ 8 =
-4
64
-36 ÷ -9 =
4
65
40 ÷ 10 =
4
66
44 ÷ -11 =
-4
67
48 ÷ 12 =
4
68
-52 ÷ -13 =
4
69
-56 ÷ 14 =
-4
70
-60 ÷ -15 =
4
71
64 ÷ 16 =
4
72
68 ÷ -17 =
-4
73
30 ÷ 6 =
5
74
-35 ÷ -7 =
5
75
-40 ÷ 8 =
-5
76
-45 ÷ -9 =
5
77
50 ÷ 10 =
5
78
55 ÷ -11 =
-5
79
60 ÷ 12 =
5
80
-65 ÷ -13 =
5
81
-70 ÷ 14 =
-5
82
-75 ÷ -15 =
5
83
80 ÷ 16 =
5
84
42 ÷ -7 =
-6
85
48 ÷ 8 =
6
86
-54 ÷ -9 =
6
87
-60 ÷ 10 =
-6
88
-66 ÷ -11 =
6
89
72 ÷ 12 =
6
90
78 ÷ -13 =
-6
91
84 ÷ 14 =
6
92
-90 ÷ -15 =
6
93
-56 ÷ 8 =
-7
94
-63 ÷ -9 =
7
95
70 ÷ 10 =
7
96
77 ÷ -11 =
-7
97
84 ÷ 12 =
7
98
-91 ÷ -13 =
7
99
-98 ÷ 14 =
-7
100
-72 ÷ -9 =
8
101
80 ÷ 10 =
8
102
88 ÷ -11 =
-8
103
96 ÷ 12 =
8
104
-104 ÷ -13 =
8
105
-90 ÷ 10 =
-9
106
-99 ÷ -11 =
9
107
108 ÷ 12 =
9
108
110 ÷ -11 =
-10
109
2 ^ 2 =
4
110
-2 ^ 3 =
-8
111
2 ^ 4 =
16
112
-2 ^ 5 =
-32
113
2 ^ 6 =
64
114
-2 ^ 7 =
-128
115
2 ^ 8 =
256
116
-2 ^ 9 =
-512
117
2 ^ 10 =
1024
118
-3 ^ 2 =
9
119
3 ^ 3 =
27
120
-4 ^ 2 =
16
121
5 ^ 2 =
25
122
-6 ^ 2 =
36
123
7 ^ 2 =
49
124
-8 ^ 2 =
64
125
9 ^ 2 =
81
126
-10 ^ 2 =
100
127
11 ^ 2 =
121
128
-12 ^ 2 =
144
129
13 ^ 2 =
169
130
-14 ^ 2 =
196
131
15 ^ 2 =
225
132
2 ^ -1 =
0.5
133
2 ^ -2 =
0.25
134
3 ^ -1 =
0.33
135
3 ^ -2 =
0.11
136
3 √ 8 =
2
137
3 √ 27 =
3
138
4 √ 16 =
2
139
4 √ 81 =
3
140
5 √ 32 =
2
141
6 √ 64 =
2
142
7 √ 128 =
2
143
8 √ 256 =
2
144
9 √ 512 =
2
145
10 √ 1024 =
2
146
2 √ 9 =
3
147
2 √ 16 =
4
148
2 √ 25 =
5
149
2 √ 36 =
6
150
2 √ 49 =
7
151
2 √ 64 =
8
152
2 √ 81 =
9
153
2 √ 100 =
10
154
2 √ 121 =
11
155
2 √ 144 =
12
156
2 √ 169 =
13
157
2 √ 196 =
14
158
2 √ 225 =
15
159
3 √ -8 =
-2
160
3 √ -27 =
-3
161
3 √ -125 =
-5
162
4 ^ 3 =
64
163
5 ^ 3 =
125
164
Convert to decimal 1/2 =
0.50
165
Convert to decimal 1/3 =
0.33
166
Convert to decimal 1/4 =
0.25
167
Convert to decimal 1/5 =
0.20
168
Convert to decimal 1/6 =
0.17
169
Convert to decimal 1/7 =
0.14
170
Convert to decimal 1/8 =
0.13
171
Convert to decimal 1/9 =
0.11
172
Convert to decimal 1/10 =
0.10
173
2 ^ -1 =
1/2
174
3 ^ -1 =
1/3
175
4 ^ -1 =
1/4
176
5 ^ -1 =
1/5
177
6 ^ -1 =
1/6
178
7 ^ -1 =
1/7
179
8 ^ -1 =
1/8
180
9 ^ -1 =
1/9
181
10 ^ -1 =
1/10
182
a+b =
a+b (given the information cannot be simplified further)
183
a x b =
ab
184
a divided by b =
a/b
185
a over b =
a/b
186
a/b reciprocal =
b/a
187
2 reciprocal =
1/2 or .5
188
3 reciprocal =
1/3 or .33
189
4 reciprocal =
1/4 or .25
190
5 reciprocal =
1/5 or .20
191
6 reciprocal =
1/6 .or .167
192
7 reciprocal =
1/7 or .142
193
8 reciprocal =
1/8 or .125
194
9 reciprocal =
1/9 or .111
195
10 reciprocal =
1/10 or .1
196
Simplify .10 =
.1
197
Simplify .100 =
.1
198
Simplify .1000 =
.1
199
Simplify .10000 =
.1
200
1 * 10 =
10
201
2 * 100 =
200
202
3 * 10 =
30
203
10 * 100 =
1000
204
100 * 10 =
1000
205
20 * 1000 =
20000
206
a * 10 =
10a
207
b * 100 =
100b
208
c * 1000 =
1000c
209
d * 10 =
10d
210
100a ÷ 10 =
10a
211
10b ÷ 100 =
b/10
212
c ÷ -10 =
-c/10
213
1000d ÷ -1000 =
-d
214
10000e ÷ -10000 =
-e
215
10abc ÷ 10 =
abc
216
-100def ÷ -100 =
def
217
10a ÷ a =
10
218
37b ÷ b =
37
219
-.2de ÷ d =
-.2e
220
-.56abc ÷ a =
-.56bc
221
(a+b) ÷ a =
1+b/a
222
(-a-b) ÷ -a =
1+b/a
223
(2a+a) ÷ a =
2+1 = 3
224
(-3a-2a-a) ÷ -a =
3+2+1 = 6
225
(ab+ac+ad) ÷ -a =
b+c+d
226
2a+a + a =
4a
227
-3a-2a-a + a =
-5a
228
ab+ac+ad + ab =
2ab+ac+ad
229
-a ÷ -1 =
a
230
-a * -1 =
a
231
-c * -1 =
c
232
-3 ÷ -1 =
3
233
-1000 * -1 =
1000
234
3 ÷ 10 =
0.3
235
4 ÷ 100 =
0.04
236
5 ÷ 1000 =
0.005
237
6 ÷ -10 =
-0.6
238
7 ÷ -100 =
-0.07
239
2 ÷ 2 =
1
240
-78 ÷ -78 =
1
241
-b ÷ -b =
1
242
c ÷ -c =
-1
243
-d ÷ d =
-1
244
4 ÷ -4 =
-1
245
a * a =
a^2
246
a^2 * a^3 =
a^5
247
a^2 * b =
(a^2)b
248
b^-3 * b^-1 =
b^-4
249
b^-4 * b^-2 =
b^-6
250
a^-1 * a =
1
251
a^-2 * a^2 =
1
252
1 * -1 =
-1
253
3 * 1 =
3
254
12 * 0 =
0
255
a * -1 =
-a
256
ab * 1 =
ab
257
b * 0 =
0
258
1 ÷ -1 =
-1
259
3 ÷ 1 =
3
260
12 ÷ 0 =
undefined
261
a ÷ -1 =
-a
262
ab ÷ 1 =
ab
263
b ÷ 0 =
undefined
264
1 ^ -1 =
0.1
265
3 ^ 1 =
3
266
12 ^ 0 =
1
267
a ^ -1 =
1/a
268
ab ^ 1 =
ab
269
b ^ 0 =
b
270
1 + -1 =
0
271
3 + 1 =
4
272
12 + 0 =
12
273
a + -1 =
a-1
274
ab + 1 =
ab+1
275
b + 0 =
b
276
1 - (-1) =
2
277
3 - 1 =
2
278
12 - 0 =
12
279
a - (-1) =
a+1
280
ab - 1 =
ab-1
281
b - 0 =
b
282
a ÷ 0 =
undefined
283
-a ÷ 0 =
undefined
284
a * 0 =
0
285
a - a =
0
286
-a + a =
0
287
-a * 0 =
0
288
-a ^ 0 =
1
289
-a ÷ -a =
1
290
a ^ 0 =
1
291
a ÷ a =
1
292
-a ÷ a =
-1
293
-a * -1 =
a
294
-a ÷ -1 =
a
295
a ^ 1 =
a
296
a * 1 =
a
297
a + 0 =
a
298
a ÷ 1 =
a
299
a - 0 =
a
300
a ÷ -1 =
-a
301
a * -1 =
-a
302
-a * 1 =
-a
303
-a ÷ 1 =
-a
304
-a + 0 =
-a
305
-a ^ 1 =
-a
306
-a - 0 =
-a
307
a + a =
2a
308
a + -1 =
a-1
309
a - 1 =
a-1
310
a + 1 =
a+1
311
a - (-1) =
a+1
312
a * a =
a^2
313
a ^ -1 =
1/a
314
a ^ a =
a^a (this is NOT a^2)
315
-a * a =
-(a^2)
316
-a + -1 =
-a-1
317
-a + 1 =
-a+1
318
-a - (-1) =
-a+1
319
-a - 1 =
-a-1
320
-a - a =
-2a
321
-a ^ -1 =
1/-a
322
-a ^ a =
-a^a (this is NOT -a^2)
