연산
중학
3
-
1
제곱근의 뜻과 성질 p. 09~14
01
00
1
-3, -300
2
-;2!;, -;2!;00
3
-0.1, -0.100
4
25, 25, -500
5
;1Á6;, ;1Á6;, ;4!;00
6
0.81, 0.81, 0.900
7
7, -700
8
000
9
8, -80
10
1, -10
11
×0
12
6, -60
13
;3!;, -;3!;0
14
;2%;, -;2%;0
15
0.2, -0.20
16
×0
17
'30
18
-'30
19
Ñ'30
20
Ñ'70
21
Ñ'¶150
22
Ѿ;5@;0
23
Ñ'¶0.10
24
Ñ'60
25
Ѿ;5!;0
26
Ñ'¶0.190
27
Ñ10
28
-60
29
40
30
-50
31
30
32
Ñ20
33
;7$;0
34
Ñ;5(;0
35
-0.010
36
Ñ0.50
37
Ñ'70
38
'70
39
-90
40
90
41
¾;3!;0
42
¾;3!;0
43
-;8!;0
44
;8!;0
45
0.30
46
0.30
47
150
48
100
49
-80
50
-50
51
210
52
-230
53
;5!;0
54
;7@;0
55
-0.030
56
-2.50
57
170
58
130
59
-70
60
-50
61
410
62
-190
63
-;4%;0
64
;5@;0
65
2.90
66
-0.070
67
30
68
-40
69
50
70
-90
71
70
72
-80
73
;3!;0
74
-;5@;0
75
0.10
76
-0.60
77
×0
78
×0
79
×0
80
◯0
81
×0
82
◯0
83
×0
84
×0
85
×0
86
◯0
87
180
88
-40
89
60
90
-40
91
20
92
20
93
160
94
50
95
00
96
130
97
190
98
-20
99
-;1Á4;100
5101
-1.21102
-0.1103
④104
①105
④ 제곱근의 계산 p. 16~2202
106
>, 3a107
<, -3a, 3a108
>, -3a109
<, -3a, -3a110
4a111
7a112
-8a113
-6a114
-5a115
-5a116
5a117
5a118
-6a119
-9a120
11a121
10a122
3a123
7a124
3a125
-4a126
-4a127
-8a128
5a129
-2a130
a-1131
a-2132
3-a133
4-a134
a+4135
a+2136
a-5137
a-3138
2139
2140
2x+2141
-2x+4142
-2x+1143
2x144
1145
6146
2, 5147
2, 7, 10148
4149
5150
2151
14152
10153
3154
6155
11156
60157
3158
2159
10160
2161
5162
7163
10, 40164
<165
>166
>167
<168
>169
<170
>171
>172
>173
<174
<175
<176
>177
<178
>179
>180
>181
<182
<183
>184
>185
<186
>187
>188
'¶10, '¶15, 4189
'8, 3, '¶11190
-"Ã(-3)Û`, -'5, -¾Ð:Á3¼:191
'¶0.6, ¾Ð:Á5¤:, "Ã(-4)Û`192
0.1, ;4!;, ¾;5!;빠른 정답
본교재
193
0.4, '¶0.4, ¾;5$;194
35195
49196
5, 6, 7, 8197
14, 15, 16198
2, 3, 4199
4, 5, 6200
⑤201
①202
① 무리수와 실수 p. 24~2903
203
유204
무205
유206
무207
무208
유209
유210
무211
-;3Á6;, 'Ä0.09, 7212
0.123y, -'¶12, ¾;3@;213
-'3, p-3214
¾Ð;1¦6;, '5, -'¶0.4215
4216
◯217
×218
×219
×220
×221
◯222
×223
×224
◯225
유리수, 무리수226
'¶1.6, p, '¶10 5227
◯228
◯229
_230
_231
_232
◯233
◯234
◯235
_236
2-'5237
-3+'5238
-5-'¶10, -5+'¶10239
3+'8240
-2-'5241
1-'¶10, 1+'¶10242
>243
>244
<245
>246
<247
>248
>249
>250
<251
<252
>253
<254
>255
>256
<257
>258
'¶11<4<2+'6259
1<5-'¶11<5-'¶10260
-'2+2<1<3-'2261
'6+1<'6+'3<'3+3262
'¶11-1<'¶11+'¶13<4+'¶11263
1+'7<'5+'7<'5+3264
A265
C266
B267
E268
C269
F270
B271
D272
A273
③274
②275
③ 근호를 포함한 식의 곱셈과 나눗셈 p. 31~3704
276
'¶10277
'¶14278
-'¶15279
'¶42280
¾;2!;281
2282
'¶30283
-'5284
6'¶10285
4'¶15286
-2'6287
6'¶21288
18289
2290
12291
¾;3@;292
'2293
-¾;5$;294
'2295
-2296
4'3297
4298
-2'3299
'6300
'2301
¾Ð:Á3¼:302
¾;2!;303
'8304
'¶30305
'¶10306
¾Ð:Á5Á:307
'8308
2'2309
2'3310
'3 2311
'5 4312
'2 10313
'¶13 10314
'¶18315
'¶20316
-'¶28317
-'¶45318
¾;4#;319
-¾Ð;2¤5;320
'3 3321
-'55322
3'55323
4'77324
2'2325
- '36326
4'3327
3'5328
'6 2329
'¶15 3330
'¶35 5331
'¶14 7332
'¶10 2333
'¶15 5334
'¶2211335
'123336
310 '5337
'¶21 21338
2'¶15 9339
'¶35 7340
'¶30 15341
2'¶10 15342
3'6 8343
2'¶15344
3'¶10 2345
5'6 3346
11'6347
-3'2 2348
'5 10349
3'¶70 7350
2'2 3351
2'6352
5'3353
6'¶10354
4'3 3355
2'6 3356
3'5 5357
'62358
'¶30 3359
2.102360
2.076361
2.121362
2.48363
2.36364
2.57365
14.14366
44.72367
141.4368
0.4472369
0.1414370
0.04472371
③372
⑤373
② 근호를 포함한 식의 덧셈과 뺄셈 p. 39~4505
374
4'2375
7'3376
7'5377
-3'2378
2'5379
-5'6380
3'6 2381
512 '7382
6'5383
-4'2384
2'3385
-6'7386
-2'5387
'2388
0389
-1315'7390
-'2+5'3391
-5'5+2'2392
-4'7-'3393
12'6-7'5394
114 -'3 3'72395
-'312 -'24396
5'23 -1110 '5397
-3'2+7'3398
5'2-5'5399
-4'7-'3400
'6-2'¶10401
4'¶13-'5402
-'2 4 -'3403
138 -'3 112'7404
5'3405
'5406
6'2407
'7408
5'6409
-2'3410
2'2411
'3412
3'5413
-'3 3414
6'2415
'6416
2'3+4'2417
-5'3418
-2'5419
-2'2+3'7420
4'3-8'6421
3'5-2'2422
'2423
2'3424
5'2 4425
-'6+'5426
3'3+'6427
'6+'¶15428
-'¶10-'¶14429
'¶15-'¶10430
3'2+2'3431
5-'¶10432
2+'5433
'5-3434
-'5-'¶11435
'6+'¶10 2436
'6-'¶30 3437
3'77 +2438
3'55 +2'2439
'¶142 +'6440
2 +1441
3 -;2#;442
-2443
-2'¶10444
'3-'6445
-'6+5'2446
8'3-7'2447
4+9'3448
10+3'3-'¶10449
-4+'6450
5'2+4'3+1451
'2-5'3 3452
3'5 5 -2453
4-9'6 2454
2'2+2'3455
'6 3456
-1457
2458
-4459
-3460
-1461
-3462
-2463
1464
1, '3-1465
3, '¶10-3466
3, '7-2467
-2, '2-1468
-1, 3-'5\469
-2, 3-2'2470
③471
②472
② 다항식의 곱셈 p. 49~5506
00
1
ab+6a-3b-1800
2
xy+x+4y+400
3
-ax-3x+5a+1500
4
5ab-10a-6b+1200
5
6xy-2x+9y-300
6
12xy-9x-8y+600
7
ax+ay-bx-by00
8
-2ac+ad+14bc-7bd00
9
xÛ`-6x+80
10
aÛ`+4a-210
11
-3aÛ`-a+20
12
-4xÛ`+13xy-10yÛ`0
13
3aÛ`+ab-2bÛ`+a+b0
14
4xÛ`+xy-x-y-30
15
12xÛ`-11xy+2yÛ`+20x-5y0
16
-160
17
130
18
-190
19
110
20
30
21
30
22
x2+2x+10
23
a2+4a+40
24
x2+10x+250
25
y2+16y+640
26
4x2+20x+250
27
81a2+18a+10
28
9x2+12x+40
29
16a2+56a+490
30
x2+12xy+36yÛ`0
31
49a2+14ab+b20
32
4x2+36xy+81y20
33
25a2+30ab+9b20
34
x2-8xy+16y20
35
9a2-48ab+64b20
36
xÛ`+;2!;xy+;1Á6;yÛ`0
37
4xÛ`+;7*;xy+;4¢9;yÛ`0
38
;4(;aÛ`+15ab+25bÛ`0
39
x2-4x+40
40
a2-8a+160
41
x2-14x+49빠른 정답
본교재 곱셈 공식의 응용 p. 57~6207
107
3844108
10609109
40401110
9604111
7569112
24.01 인수분해 p. 64~7108
183
2xÛ`-xy184
x2+12x+36185
a2-6a+9186
x2-4187
aÛ`+6a-7188
6x2+5x-4189
5x2-9xy-2y2190
1, a, a+2b, a(a+2b)191
2, x+1, xy(x+1)192
x+3, (x+3)(x-4)193
a-1, a+1194
5x-y, x+8y, x(5x-y)0
44
25a2-10a+10
45
4x2-12x+90
46
36a2-48a+160
47
x2-16xy+64y20
48
a2-2ab+b20
49
9x2-30xy+25y20
50
16a2-72ab+81b20
51
x2+6xy+9y20
52
4a2+28ab+49b20
53
xÛ`-;3!;xy+;3Á6;yÛ`0
54
9xÛ`-4xy+;9$;yÛ`0
55
;2!5^;aÛ`-:Á5¤:ab+4bÛ`0
56
x2-160
57
a2-250
58
81-x20
59
a2-;4!;0
60
4x2-90
61
36a2-10
62
49-64a20
63
25x2-;1Á6;0
64
x2-4y20
65
9a2-16b20
66
a2-49b20
67
4x2-64y20
68
x2- yÛ` 90
69
;1»6;aÛ`-25b20
70
81y2-x20
71
4bÛ`-36aÛ`0
72
x2+7x+100
73
aÛ`+11a+240
74
xÛ`-11x+280
75
aÛ`-15a+540
76
xÛ`-x-20
77
aÛ`+2a-350
78
xÛ`+6x-270
79
aÛ`-8a-200
80
xÛ`+9xy+8yÛ`0
81
aÛ`+7ab+12bÛ`0
82
aÛ`-9ab+14bÛ`0
83
xÛ`-13xy+40yÛ`0
84
xÛ`-5xy-36yÛ`0
85
aÛ`-ab-30bÛ`0
86
xÛ`+;3!;xy-;1Á2;yÛ`0
87
xÛ`-;1¦5;xy-;1ª5;yÛ`0
88
12xÛ`+26x+40
89
20aÛ`+23a+60
90
27xÛ`-21x+20
91
14aÛ`-39a+100
92
40xÛ`-7x-30
93
12aÛ`+10a-80
94
10xÛ`-x-210
95
24aÛ`+16a-300
96
8x2+14xy+3y20
97
6aÛ`-26ab+24bÛ`0
98
10xÛ`-27xy-28yÛ`0
99
15aÛ`+8ab-12bÛ`100
-4xÛ`+9xy-5yÛ`101
-6aÛ`-13ab+8bÛ`102
-10xÛ`-26xy-12yÛ`103
12xÛ`+xy-;6!;yÛ`104
-38105
8a-5106
33113
9991114
2496115
3599116
6384117
9975118
15.64119
399.99120
3+2'2121
8+2'¶15122
8+4'3123
14+4'6124
9-4'5125
5-2'6126
9-6'2127
23-6'¶10128
2129
3130
5131
'2+1132
'5-'32133
3-2'2134
8+213 '3135
'7-'2136
2'3+'63137
2-'3138
11-2'¶30139
3-2'2140
10+3'¶11141
-5-2'6142
12143
8144
14145
16146
28147
20148
38149
44150
23151
21152
6153
8154
22155
24156
xÛ`+2xy+yÛ`+6x+6y+9157
xÛ`-4xy+4yÛ`+2x-4y+1158
aÛ`-2ab+bÛ`+4a-4b+4159
9xÛ`+6xy+yÛ`-24x-8y+16160
aÛ`+bÛ`+cÛ`+2ab+2bc+2ac161
aÛ`+2ab+bÛ`-4162
4xÛ`-4xy+yÛ`-9163
9xÛ`-12xy+4yÛ`-1164
xÛ`+2xy+yÛ`+5x+5y+6165
aÛ`-10ab+25bÛ`-a+5b-2166
16xÛ`-8xy+yÛ`+12x-3y-18167
4168
1169
14170
4171
14172
5173
-2'3174
-1175
-6176
7177
-10178
4179
-2180
④181
-8182
9195
196
197
3x, 3x(x-4y)198
ab, ab(a+bc)199
xy, xy(x+y-12)200
2b, 2b(2aÛ`+a-3b)201
a-b, (a-b)(a+2b)202
x+y, (x+y)(x-y+2)203
x-y, (x-y)(8-a)204
y-3, (x+1)(y-3)205
x-y, (a-b)(x-y)206
x-5y, (x-5y)(3x-2y)207
(x+1)Û`208
(a+5)Û`209
(x+6y)Û`210
{x+;2!;}Û`211
(x-2)Û`212
(x-4)Û`213
(a-7b)Û`214
{x-;3!;}Û`215
(2x+9)Û`216
(3a+5)Û`217
(4x+y)Û`218
(7x-1)Û`219
(5x-2)Û`220
(2a-3b)Û`221
2(x+4)Û`222
3(x-y)Û`223
16224
1225
25226
36227
9228
4229
25230
Ñ4231
Ñ14232
Ñ18233
Ñ20234
Ñ24235
Ñ12236
Ñ40237
(a+4)(a-4)238
(x+1)(x-1)239
(6+x)(6-x)240
{x+;2!;}{x-;2!;}241
(4x+5)(4x-5)242
(7a+2)(7a-2)243
2(x+3)(x-3)244
a(a+9)(a-9)245
(a+2b)(a-2b)246
(x+8y)(x-8y)247
{a+;5#;b}{a-;5#;b}248
(2a+5b)(2a-5b)249
(7x+4y)(7x-4y)250
{;2!;x+;3!;y}{;2!;x-;3!;y}251
4(a+3b)(a-3b)252
3(4a+b)(4a-b)253
1, 7254
-1, -3255
1, 5256
-2, -3257
-1, 2258
-2, 4259
3, -7260
2, -5261
(x+1)(x+4)262
(x+2)(x+4)263
(a-1)(a-2)264
(x-3)(x-4)265
(x-2)(x+5)266
(a-5)(a+7)267
(x+2)(x-6)268
(a+3)(a-5)269
(x+y)(x+5y)270
(a+b)(a+10b)271
(x-y)(x-4y)272
(x-3y)(x-6y)273
(x-y)(x+3y)274
(a-b)(a+8b)275
(x+y)(x-9y)276
(a+3b)(a-4b)277
(x+3)(2x+1)278
(2x-3)(2x+1)279
(x+1)(3x+2)280
(2x-3)(3x-1)281
(a+4)(5a-2)282
(x-3)(2x+3)283
(x+y)(3x+2y) 복잡한 식의 인수분해 p. 73~7809
292
(x-2)Û`293
◯294
◯295
(2x+9y)(2x-9y)296
◯297
(x-4y)(x+2y)298
(a-2)(2a+5)299
◯300
(x+4)Û`301
(x-2y-1)(x-2y-2)302
9(x-1)(2x+1)303
(x+y-1)(x+y+6)304
(x-3y-9)(x-3y+2)305
(a-b-4)(a-b+3)306
(3x+2)Û`307
(2x-5y)2308
-5x-14309
3(3x-2y)(7x-5y)310
(2x+7)(3x-2)311
(x+y+4)(x+y-4)312
-3(2x+y)(4x+3y)313
(x+y+1)(x-y+3)314
(4x-3)(2x-1)315
3y(2x+y)316
-(3x+y)(x+3y)317
(x+1)(y+1)318
(x+5)(y+1)319
(a-1)(b-2)320
(a-b)(x+2y)321
(x-y)(xy+3)322
(x-y)(x+y+1)323
(x+2y)(x-2y-1)324
(x+y+2)(x-y+2)325
(a+b-7)(a-b-7)326
(x+2y-1)(x-2y-1)327
(2x+y+2)(2x+y-2)328
(x+y-3)(x-y+3)329
(a+b+5)(a-b-5)330
(x-6y+8z)(x-6y-8z)331
(x-2)(x-y+1)332
(x-1)(x+y+3)333
(x+3)(x+y-4)334
(x+1)(x-y+3)335
(x-5)(x-y-2)336
(x-1)(x+5y+3)337
(a+b-5)(a+b+3)338
(x-y-6)(x-y+1)339
(x-3y+1)(x-3y+2)340
(x+2y-3)Û`341
(x-2y+2)Û`342
(x+3y-1)Û`343
4900344
8400345
9600346
8200347
96000348
1600349
900350
10000351
10000352
10000353
2500354
2355
3-2'3356
5-3'5357
1220358
10000359
4'¶10360
12284
285
286
(a-3b)(5a-b)287
(x+2y)(4x-3y)288
(2x+y)(5x-7y)289
③, ⑤290
13291
x-3빠른 정답
본교재 이차방정식과 그 해 p. 80~8610
366
×367
×368
◯369
◯370
×371
◯372
×373
◯374
a+0375
a+0376
a+3377
a+-4378
a+;2!;379
a+-2380
a+4381
a+7382
a=3, b=2, c=0383
a=2, b=-2, c=3384
a=1, b=-1, c=-12385
a=2, b=4, c=10386
a=1, b=-4, c=-5387
a=3, b=0, c=-4388
◯389
×390
×391
◯392
×393
◯394
×395
◯396
x=-2 또는 x=0397
x=-1 또는 x=2398
x=2399
x=1400
x=-1401
-3402
5403
-2404
-1405
4406
3407
-6408
-1409
-2410
7411
5412
-9413
-2414
x=-2 또는 x=1415
x=2 또는 x=-3416
x=0 또는 x=5417
x=-1 또는 x=1418
x=;4#; 또는 x=;5@;419
x=-;3!; 또는 x=-2420
x=-;2&; 또는 x=;4%;421
x=0 또는 x=4422
x=0 또는 x=-3423
x=0 또는 x=-4424
x=0 또는 x=;2%;425
x=0 또는 x=-7426
x=0 또는 x=2427
x=0 또는 x=;5#;428
x=-2 또는 x=2429
x=-3 또는 x=3430
x=-6 또는 x=6431
x=-;4!; 또는 x=;4!;432
x=-;3@; 또는 x=;3@;433
x=-7 또는 x=7434
x=-;5*; 또는 x=;5*;435
x=1 또는 x=5 이차방정식의 풀이 p. 88~9211
457
×458
459
460
461
×462
×463
464
465
x=2466
x=-;3!;467
x=-3468
x=5469
x=-6470
x=;4!;471
x=-;2#;472
x=;5^;473
1474
9475
25476
5477
13478
49479
4480
Ñ2481
Ñ4482
Ñ6483
Ñ10484
Ñ1485
Ñ4486
Ñ12487
x=Ñ'6488
x=Ñ3489
x=Ñ3'2490
x=Ñ5491
x=Ñ'5492
x=Ñ'3493
x=Ñ2494
x=Ñ;2#;495
x=4Ñ'¶10496
x=-5Ñ2'3497
x=-1Ñ'5 2498
x=3Ñ'¶11 4499
x=-7Ñ2'2500
x=2Ñ'6501
x=-;3@; 또는 x=;3$;502
x=-5 또는 x=-1503
x=-1Ñ'2504
x=2Ñ'2505
x=3Ñ2'3506
x=-4Ñ'7507
x=5Ñ'¶15508
x=-7Ñ'¶53436
x=-4 또는 x=-1437
x=-2 또는 x=6438
x=-7 또는 x=3439
x=3 또는 x=4440
x=-5 또는 x=2441
x=3 또는 x=5442
x=-1 또는 x=-;2!;443
x=-;2!; 또는 x=5444
x=-1 또는 x=;3!;445
x=;2!; 또는 x=;2#;446
x=-3 또는 x=;3!;447
x=-;3!; 또는 x=;2#;448
x=-2 또는 x=;5#;449
x=-5450
x=-2451
x=2452
x=;2!;453
x=-;3@;454
⑤455
4456
x=-6361
-4'6362
8'5363
-5364
②365
-16'3이차방정식 구하기, 활용 p. 101~107