연산
중학
1
-
1
소인수분해 p. 09~15
01
00
1
1, 3, 900
2
1, 3, 5, 1500
3
1, 2, 4, 7, 14, 2800
4
1, 2, 3, 4, 6, 9, 12, 18, 3600
5
5200
6
9800
7
9900
8
33개00
9
1, 11, 소수0
10
1, 2, 7, 14, 합성수0
11
1, 29, 소수0
12
소0
13
합0
14
합0
15
소0
16
2, 13, 23, 31, 47, 59, 61, 730
17
9, 25, 39, 45, 510
18
10
19
0
20
×0
21
×0
22
×0
23
0
24
0
25
×0
26
×0
27
3Þ`, 3, 50
28
{;5!;}Ý`, ;5!;, 40
29
{;7@;}Ü`, ;7@;, 30
30
3Ü`_7Û`0
31
2Û`_5Ü`_70
32
{;3!;}Û`_{;5!;}Û`0
33
2Ý`10
34
5Û`_11Ü`10
35
⑴
8Û`⑵
4Ü`⑶
2ß`0
36
⑴
27Û`⑵
9Ü`⑶
3ß`0
37
⑴
{;4!;}Û`⑵
{;2!;}Ý`0
38
7, 30
39
4, 30
40
4, 40
41
2Ý`0
42
3Ü`0
43
2_3_50
44
2Û`_3Û`0
45
3Û`_50
46
2Û`_130
47
2Û`_30
48
2Ü`_30
49
2Û`_70
50
2Ü`_50
51
2_3Ü`0
52
2Û`_3_70
53
×0
54
0
55
×0
56
0
57
×0
58
×0
59
×0
60
0
61
140
62
150
63
70
64
120
65
90
66
2_3Û` / 2 / 2, 60
67
2Û`_3_5 / 3, 5 / 3, 5, 300
68
20
69
30
70
70
71
60
72
2Û`_5 / 5 / 5, 20
73
2Ü`_3 / 2, 3 / 2, 3, 20
74
70
75
60
76
60
77
140
78
2, 7 / 1, 2, 7, 140
79
1, 3, 5, 45 / 1, 3, 5, 9, 15, 450
80
2Ü`_3Û` / _ 1 2 2Û` 2Ü` 1 1 2 4 8 3 3 6 12 24 3Û` 9 18 36 72 / 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 720
81
2Û`_7Û` _ 1 2 2Û` 1 1 2 4 7 7 14 28 7Û` 49 98 196 / 1, 2, 4, 7, 14, 28, 49, 98, 1960
82
3개0
83
5개0
84
12개0
85
6개0
86
8개0
87
9개0
88
16개0
89
18개0
90
①, ④0
91
⑤0
92
24 최대공약수 p. 17~2202
0
93
1, 2, 3, 6 / 1, 2, 5, 10 / 1, 2 / 20
94
1, 2, 7, 14 / 1, 5, 7, 35 / 1, 7 / 70
95
1, 2, 3, 4, 6, 8, 12, 24 / 1, 2, 4, 8, 16, 32 / 1, 2, 4, 8 / 80
96
1, 3, 90
97
1, 3, 7, 210
98
1, 2, 3, 5, 6, 10, 15, 300
99
3, ×100
1, 101
3, ×102
11, ×103
1, 104
1, 105
6, ×106
1, 107
9108
12109
15110
3111
14112
12113
2_3Û`114
2Û`_3_7115
3Û`116
2Û`_3117
2_3118
2_3Û`119
2_5120
2Û`_3121
3_5122
2_5123
3_5124
2_3125
2, 2126
2, 3127
1, 1128
1, 1129
9명130
24개131
5개, 7개132
⑴
12`cm⑵
12장133
⑴
12`cm⑵
70개134
15`m135
18개136
21137
4138
6139
18140
12141
12142
13143
④144
210개최소공배수 p. 24~30
03
145
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, y / 5, 10, 15, 20, 25, 30, y / 15, 30, y / 15146
6, 12, 18, 24, 30, 36, y / 9, 18, 27, 36, 45, 54, y / 18, 36, y / 18147
10, 20, 30, 40, 50, 60, y / 15, 30, 45, 60, y / 30, 60, y / 30148
12, 24, 36, 48, 60, 72, y / 18, 36, 54, 72, y / 36, 72, y / 36149
9, 18, 27150
14, 28, 42151
20, 40, 60152
32, 64, 96153
6개154
4개155
2개156
84157
72158
160159
60160
72161
220162
2Û`_3Û`163
2Û`_3Û`_5164
2Û`_3Û`_7Û`165
2_3Û`_5166
2Û`_3Ü`_5_7Û``167
2Ý`_3Û`_5Ü`_11168
2Ü`_3_5Û`169
2Û`_3Û`_5170
2Ý`_3Û`_5171
2Û`_3Û`_5Û`172
2Û`_3Ü`_5_7173
2Û`_3Û`_5_7174
3, 2175
2, 3176
4, 3177
3, 3178
오전 9시 10분179
⑴
90분⑵
3바퀴180
80 cm181
⑴
80`cm⑵
20장182
90183
40184
90185
43186
33187
28188
20189
60190
84191
24192
135193
:£5¤:194
:¥7¼:195
:¤7¼:196
:¦3¼:197
108198
250199
294200
12201
30202
10203
⑤204
80 cm205
36 정수와 유리수 p. 32~3604
206
-3207
+4208
-2000209
+3점, -2점210
+20`%, -15`%211
+800`m, -1200`m212
+3213
-7214
-2.8215
+;4#;216
-;9!;217
ㄴ, ㄹ218
ㄱ, ㅁ, ㅂ219
+4, 양의 정수220
-8, 음의 정수221
+11, 양의 정수222
6, +4, +3, +7, 8223
-3, -2, -12, -9224
0225
226
×227
228
229
×230
×231
ㄱ, ㄹ, ㅂ232
ㄴ, ㄷ, ㅁ233
ㄴ, ㄹ, ㅁ234
수 +5 -;2&; +4.6 -2 0 양수 × × × 음수 × × × 정수 × × 정수가 아닌 유리수 × × × 유리수 235
수 ;3%; -2.5 -:ª9¦: 11 +:£6»: 양수 × × 음수 × × × 정수 × × × 정수가 아닌 유리수 × × 유리수 236
-2, +1237
-3, +4238
+;2!;, +:Á4Á:239
-;2&;, -;3@;240
-;3$;, +;5#;241
-:Á3Á:, +;2&;242
-3 -5 -4 -6 -2 -1 0 A B +1+2+3 +4+5+6243
-3 -4 -2 -1 0 A +1 +2 +3 +4 B244
-3 -4 -2 -1 0 A +1 +2 +3 +4 B245
-3 -4 -2 -1 0 A +1 +2 +3 +4 B246
-3 -4 -2 -1 0 A +1 +2 +3 +4 B247
2248
-4249
1250
-2251
-4252
-1, 0, 1, 2, 3, 4253
-5, -4, -3, -2, -1, 0, 1, 2, 3254
1255
-3256
⑤257
9258
-;3%;, -;3$;, -;3@;, -;3!;, ;3!;, ;3@;절댓값과 수의 대소 관계
05
259
|+4|, 4260
|+10|, 10261
|-1|, 1262
|-8|, 8263
|+3.5|, 3.5264
|-2.7|, 2.7265
|+;7@;|, ;7@;266
|-;2%;|, ;2%;267
7268
9269
0270
16271
2.4272
0.1273
:Á8£:274
:ª9£:275
-5, +5276
0277
-2.9, +2.9278
-;3*;, +;3*;279
+1.6280
-:Á7¼:281
+4282
-;1°1;283
-6, +6284
-15, +15285
-3.7, +3.7286
-8.4, +8.4287
-;5$;, +;5$;288
-:ª3¼:, +:ª3¼:289
-3, +3290
-7, +7291
-;2(;, +;2(;292
-1.2, +1.2293
-;5#;, +;5#;294
-;2°4;, +;2°4;295
-5296
0297
-2298
;3@;299
:¢6Á:300
-;3$;301
<302
<303
>304
<305
<306
<307
>308
>309
>310
<311
<312
>313
>314
<315
<316
>317
-:Á5¥:, -2.4, 0, +2, +;2%;318
+2319
-4.4, -:ª6Á:, -2, +:Á3¼:, +6320
-:ª6Á:321
>322
É323
>324
¾325
É326
É, É327
<, <328
É, <329
2, 3, 4330
-3, -2, -1, 0, 1, 2, 3331
-5, -4, -3, -2, -1332
-2, -1, 0, 1333
-4, -3, -2, -1, 0, 1, 2, 3, 4334
0, 1, 2, 3, 4335
-2, -1, 0, 1, 2, 3, 4336
-4, -3, -2, -1, 0, 1, 2, 3, 4337
-2, -1, 0, 1, 2338
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5339
340
-3, -2, -1, 0, 1, 2, 3341
-5, -4, -3, -2, -1, 1, 2, 3, 4, 5342
×343
×344
345
×346
×347
348
349
×350
②351
⑤352
②, ④ 정수와 유리수의 덧셈 p. 46~5206
353
+4354
+4, +6355
+3356
+11357
+7358
+14359
+18360
+32361
+;3%;362
+2363
+;4%;364
+;1¥5;365
+2.3366
+7367
+;1@0&;368
-3369
-3, -6370
-11371
-14372
-14373
-19374
-24375
-31376
-1377
-:Á7Á:378
-:ª9ª:379
-;1#2&;380
-3.8381
-;1!0&;382
-:Á5¤:383
(+4)+(+2), +6384
(-5)+(-4), -9385
(+2)+{+;3&;}, +:Á3£:386
{+;4#;}+{+;6!;}, +;1!2!;387
{-;2%;}+(-8), -:ª2Á:388
{-;3$;}+{-;7#;}, -;2#1&;389
+3390
+2, -4391
+2392
+2393
-3394
-6395
+8396
-8397
-9398
0399
+3400
-5401
-6402
+6403
-7404
+9405
-7406
-5407
-0.1408
+;3$;409
-;6!;410
-;5@;411
-;2¦4;412
-;1!2!;413
-;2Á0;414
+1.1415
+2.7416
-;2!;417
-;3&;418
+;5$;419
-;3!;420
-;6!;421
+;2°4;422
-;5#;423
(-4)+(+7), +3424
(+9)+(-15), -6425
(-2)+{+;3%;}, -;3!;426
{-;4#;}+{+;6!;}, -;1¦2;427
{+;4#;}+(-3), -;4(;428
{+;3$;}+{-;7#;}, +;2!1(;429
+2, +2, +5, 0 / 교환, 결합430
-0.6, -0.6, -0.7, +0.2 / 교환, 결합431
-;3@;, -;3@;, -1, -;2!; / 교환, 결합432
-10433
+9434
-9435
-3436
+14437
-0.1438
-6439
-;5$;440
-;2!4&;441
+:Á7¦:442
-3443
④444
⑤445
-3 정수와 유리수의 뺄셈 p. 54~5907
446
-, 4, +, 4, +, 3447
-, 9, -, 9, -, 12448
-8449
-22450
+5451
-16452
+5453
-29454
+, 8, +, 5, +, 13455
+, 10, +, 4, +, 6456
+16457
-8458
+6459
-4460
+18461
-5462
+1.6463
-5.4464
-:Á9Á:465
+;1¦2;466
-;1!5$;467
-;2#0(;468
+1.5469
-2.3470
+2471
-;1¢1;472
+;3!0!;473
+;2¦0;474
-;1!4(;475
+;3@;476
+;2!0&;477
(+2)-(+6), -4478
(-4)-(+3), -7479
(+5)-{-;4(;}, +:ª4»:480
{+;4#;}-{-;6!;}, +;1!2!;481
{-;7$;}-(-2), +:Á7¼:482
{-;3$;}-{+;7#;}, -;2#1&;483
-, +, +, -, 11, +, 4, -, 7484
+, 7, +, 7, +, 10, +, 6485
486
487
488
-1489
-1.8490
+1.5491
+;2&;492
-;3@;493
-2494
-;3*;495
+, 8, +, 6496
+, 6, -, 6, -, 2497
-2498
-3499
-10500
+6501
-5502
-31503
+, 0.9, -, 0.9, -, 1.2504
+, ;5@;, -, ;5@;, -, ;5!;505
+0.4506
-0.8507
-;7%;508
+;1Á2;509
+6510
-10511
+13512
-19513
-32514
+10515
-16516
+1.2517
-3.3518
+1519
+;2!;520
+;4!;521
+2522
+;4!;523
+;9$;524
+3525
⑤526
② 정수와 유리수의 곱셈 p. 61~6608
527
+, +, 8528
+, 6, +, 30529
+16530
+55531
0532
+27533
+24534
0535
+, ;3!;, +, ;1ª5;536
+, :Á3¼:, +, ;3$;537
+;2£0;538
+;9%;539
+;1ª5;540
+;3$;541
+8.5542
-, 4, -, 28543
-, 8, -, 24544
-42545
-72546
-60547
-30548
-36549
-56550
-, ;2#;, -, ;4&;551
-, :Á9¼:, -, ;6%;552
-;3¥3;553
-;9$;554
-;1Á2;555
-:ª2°:556
-;4!;557
-6, -6, +30, +90 / 교환, 결합558
-5, -5, +40, -60 / 교환, 결합559
-4, -4, -7, -;9&; / 교환, 결합560
561
562
563
-48564
+120565
-72566
+56567
-60568
+, +, 1569
-, -, ;2!;570
+:Á5¤:571
+16572
-;2$5*;573
+;3*;574
+14575
-;5(;576
-:Á7¤:577
-;7@;578
+;2%;579
-22.4580
-;3%;581
+;4(;582
-11583
+9584
-9585
-27586
-27587
+;8Á1;588
-36589
+125590
-;4Á9;591
+72592
-32593
-225594
-36595
-24596
-;2£5;597
-:£3ª:598
⑴
97, 2425⑵
25, 2500, 75, 2425599
⑴
32, 120⑵
4, 4, 120600
2163601
-6602
-32603
58604
⑤605
④606
-216 정수와 유리수의 나눗셈 p. 68~7309
607
+, 2, +, 3608
+, 3, +, 3609
+4610
+4611
0612
+7613
+3614
+0.4615
-, 4, -, 5616
-, 8, -, 4617
-4618
-7619
-8620
-7621
-3622
-9623
;4#;624
-;5^;625
;8%;626
;3!;627
-;1Á3;628
2629
-;9%;630
-20631
+;3Á6;632
+;9!;633
-;5@;634
-8635
+;3!;636
+8637
-12638
+;2#;639
+10640
+9641
-;2!;642
+7643
-2644
-;8!;645
-;2¢7;646
+;2¦5;647
+:¥8Á:648
18649
;3Á6;650
-;2°1;651
-;2!;652
10653
;9@;654
8655
-1656
㉠, ㉡, -32657
㉡ → ㉠, 13658
㉡ → ㉢ → ㉠, 10659
㉢ → ㉠ → ㉡, -4660
-9661
65662
77663
-13664
-60665
-9666
25667
;1@0#;668
㉡ → ㉢ → ㉠, 21669
㉢ → ㉡ → ㉠, 7670
㉢ → ㉣ → ㉡ → ㉠, -7671
㉢ → ㉤ → ㉣ → ㉡ → ㉠, 14672
-20673
7674
-8675
21676
-1677
-12678
-:£5¢:679
-15680
④681
③682
㉢, ㉡, ㉣, ㉠, ㉤, -12 문자를 사용한 식 p. 77~8310
00
1
(1500_a)원00
2
(1200_a+600_b)원00
3
(4000-350_a)원00
4
(a+4)세00
5
(12-x)세00
6
10_a+b00
7
100_a+10_b+c00
8
2_(a+b)`cm00
9
{;2!;_a_b} cmÛ`0
10
(x_y) cmÛ`0
11
[;2!;_(a+b)_h] cmÛ`0
12
(6_x) cm0
13
(6_a_a) cmÛ`0
14
4a0
15
-5x0
16
aby0
17
-ab0
18
0.1xy0
19
xÛ``0
20
-0.1aÛ`0
21
-3abÜ``0
22
3(a+b)0
23
;3!;(a+2b)0
24
-(2x-y)0
25
2a+3b0
26
;2!;x+;5@;y0
27
3a-4b0
28
xÛ`-2x0
29
-x-8y0
33
4a0
34
-;2#;y0
35
x40
36
xa+b0
37
- 1a-b0
38
- x-y30
39
2(2x-y)0
40
-3(3a-2b)0
41
x7y0
42
- a 2b0
43
xz y0
44
xyz0
45
x- y50
46
a2 -b30
47
acb0
48
12 x-3y0
49
5- abx0
50
2xÛ`- 3y0
51
acb+40
52
시속 x2 km0
53
5a km0
54
x100 시간0
55
x70 시간0
56
80t km0
57
5x km0
58
(3000+30x)원0
59
{a- 13 100 a}원0
60
(5000-50x)원0
61
100 x g 70
62
x3 `%0
63
x2 %0
64
-60
65
;2&;0
66
100
67
70
68
90
69
100
70
130
71
40
72
-60
73
10
74
150
75
140
76
20
77
50
78
-50
79
20
80
30
81
-40
82
-70
83
40
84
130
85
20
86
10
87
-;4&;0
88
-;2%;0
89
-;1Á2;0
90
20
91
50
92
410
93
ㄱ, ㄴ, ㄹ0
94
④0
95
① 다항식과 일차식 p. 85~8911
0
96
2xÛ`, -5x, 60
97
60
98
-50
99
2100
◯101
◯102
_103
◯104
◯105
_106
◯107
◯108
1109
0110
2111
3112
_113
_114
_115
◯116
_117
_118
◯119
◯120
121
122
123
2y124
-4b125
-8a126
10x127
9x128
-4a129
-;4&; y130
;3%;x131
-16x132
-;9!;a133
;2&;x134
6x+3135
-5y-10136
-12a+4137
6x-9138
4b+14139
;5$;y-6140
-6a+12141
4x+8142
18x-3143
-20a-15144
-14x+12145
12b+8146
-6a+3147
21y-28148
5x+2149
3a-9150
-8b-2151
-7y+2152
-2b-5153
-2x+9154
8a-7155
2x+6156
9y-3157
-5a+:Á2°:158
-3b-;2(;159
-9x-6160
49b-14161
④162
1163
7 일차식의 덧셈과 뺄셈 p. 91~9512
164
◯165
_166
_167
4x와 5x168
xÛ`과 -2xÛ`, 3과 7169
;2!;aÛ`과 -aÛ`, 2와 -;2!;170
-2a와 5a, 3b와 -7b171
3xÛ`과 -2xÛ`, yÛ`과 -;2!;yÛ`172
6x173
-3a174
-14y175
-2a176
4a+3177
5b+10178
7x-4y179
;2#0!;x+;2!;180
6x+4181
5a-3182
-17x+3183
8x+10184
22x-19185
-5a+12186
8x+5187
-x-4188
-3a-5189
4x-2190
4a+24191
21x+16192
4a-14193
-4x-2194
-2195
-1196
4197
12198
-5199
6200
2201
12202
-3x+5203
4a-7204
x+12205
-a+3206
-4207
-15y+12208
;1!2#;x+;6%;212
-;1£0;x+;2Á0;213
:ª9ª:x+;1*8%;214
3x-1215
3x-2216
-6x+10217
-2x-6y218
2x+9219
-8x+5220
x-3y221
3x+6y222
3x+1223
5x+5224
-10225
-5x-25226
x-5y227
-x-13y228
-x+14y229
8x-13y230
5231
8232
-3x-7 일차방정식 p. 97~10313
233
×234
◯235
◯236
×237
◯238
◯239
3x-6, 0240
5x, 2x+1241
4x+2, 2x-7242
x+5=14243
2x-1=3x244
4x=20245
500x=3000246
10000-4a=2000247
14+x=20248
80x=160249
x의 값 좌변의 값 우변의 값 참 / 거짓 0 2_0-1=-1 3 거짓 1 2_1-1=1 3 거짓 2 2_2-1=3 3 참 , x=2250
x의 값 좌변의 값 우변의 값 참 / 거짓 -1 -3_(-1)=3 2_(-1)-5=-7 거짓 0 -3_0=0 2_0-5=-5 거짓 1 -3_1=-3 2_1-5=-3 참 , x=1251
x의 값 좌변의 값 우변의 값 참 / 거짓 -1 5_(-3)+1=-14 2_(-3-4)=-14 참 0 5_(-2)+1=-9 2_(-2-4)=-12 거짓 1 5_(-1)+1=-4 2_(-1-4)=-10 거짓 , x=-3252
×253
◯254
×255
◯256
◯257
×258
×259
항260
방261
항262
방263
방264
항265
a=4, b=3266
a=7, b=-2267
a=1, b=2268
a=4, b=8269
a=6, b=-8270
a=-7, b=8271
3272
10273
8274
12275
◯276
◯277
◯278
×279
7280
5281
5282
283
284
285
×286
◯287
ㄱ288
ㄹ289
ㄴ290
ㄷ291
x=4292
x=3293
x=-2294
x=0295
x=8296
+297
-298
-x=7-5299
3x-4x=2300
x+2x=-7-5301
3x-5x=1+6302
4x=-4303
3x=-10304
10x=-8305
;2#;x=4306
;4#;x=9307
◯308
◯309
×310
◯311
×312
×313
◯314
a+5315
a+3316
a+-2317
a+4318
a+1319
①, ⑤320
ㄱ, ㄹ321
a+3, b=4 일차방정식의 풀이 p. 105~10914
322
x=1323
x=6324
x=-3325
x=4326
x=4327
x=5328
x=-6329
x=5330
x=1331
x=-2332
x=2333
x=;4#;334
x=-5335
x=-1336
x=-2337
x=-;2!;338
x=9339
x=-5340
x=-3341
x=-10342
x=-2343
x=;2!;344
x=10345
x=-6346
x=2347
x=6348
x=4349
x=1350
x=16351
x=;5!;352
x=-4353
x=1354
x=14355
x=5356
x=-2357
x=-3358
x=-5359
x=2360
x=-9361
x=-1362
x=4363
x=1364
1365
20366
13367
1368
-2369
2370
2371
5372
-3373
9374
3375
2376
⑤377
x=-;3$;378
x=-6일차방정식의 활용 ⑴
15
379
⑴
3x=x-8⑵
x=-4⑶
-4380
-2381
5382
3383
⑴
x-1, x+1⑵
(x-1)+x+(x+1)=39⑶
x=13⑷
12, 13, 14384
21, 22, 23385
24, 26, 28386
⑴
10x+7⑵
10x+7=(70+x)-27⑶
x=4⑷
74387
35388
⑴
14+x⑵
45+x=2(14+x)⑶
x=17⑷
17년 후389
10세390
6년 전391
⑴
7+x⑵
6(7+x)=54⑶
x=2⑷
9`cm392
112`cmÛ`393
⑴
15-x, 700(15-x)⑵
400x+700(15-x)=7800⑶
x=9⑷
9자루394
5개395
⑴
9x+7, 10x-24⑵
9x+7=10x-24⑶
x=31⑷
31명396
68권397
의자 : 15개, 학생 : 79명398
⑴
7000+500x, 2200+800x⑵
7000+500x=2200+800x⑶
x=16⑷
16일 후399
10개월 후400
⑴
;4%;x, ;4%;x-800, ;2£0;x⑵
{;4%;x-800}-x=;2£0;x⑶
x=8000⑷
8000원401
20000원402
⑴
-;10*0;x, +;10^0;(800-x)⑵
;10^0;(800-x)-;10*0;x=-15⑶
x=450⑷
414명403
440명404
⑴
;6!;x, ;4!;x, ;2!;x, 2⑵
;6!;x+;4!;x+;2!;x+2=x⑶
x=24⑷
24개405
20개406
12세407
2408
1권 일차방정식의 활용 ⑵ p. 118~12316
409
⑴
x2 시간, (x+3)km, x+33 시간⑵
x2 +x+33 =6⑶
x=6⑷
6`km410
5`km411
⑴
60 시간, 10 시간⑵
10 -60 =;3@;⑶
x=8⑷
8`km412
20 km413
⑴
80x m, (x+30)분, 50(x+30) m⑵
80x=50(x+30)⑶
x=50⑷
50분 후414
24분 후415
⑴
50x m, 75x m⑵
50x+75x=1500⑶
x=12⑷
12분 후416
10분 후417
⑴
80x m, 120x m⑵
80x+120x=1000⑶
x=5⑷
5분 후418
15분 후419
⑴
70x m, 50x m⑵
70x-50x=1800⑶
x=90⑷
90분 후420
20분 후421
⑴
초속 750+x45 m, 초속 120+x10 m⑵
750+x45 =120+x10⑶
x=60⑷
60 m422
50 m423
⑴
500+x⑵
x=125⑶
125`g424
40 g425
⑴
20, 600+x⑵
x=40⑶
40`g426
20 g427
⑴
6, 100+x⑵
x=200⑶
200`g428
400`g429
⑴
;1Á6;, ;1Á6;_10, ;2Á4;, ;2Á4;x⑵
;1Á6;_10+;2Á4;x=1⑶
x=9⑷
9일430
4일431
3 km432
200 g433
2일 그래프의 이해 p. 127~13417
[
00
1-
00
4]
-3 -4 -5 -2-1 0 1 2 3 4 5 B D A C[
00
5-
00
8]
C -3 -4 -5 -2-1 0 1 2 3 4 5 D B A00
9
A(-3), B(-1), C(2), D(3)0
10
A{-;2%;}, B{-;2#;}, C(0), D{;3%;}[
0
11-
0
14]
y x O 2 4 -2 -2 -4 -4 2 4 D A C B0
15
A(-4, 1), B(3, 4), C(4, -2), D(-2, -3)0
16
A(-4, 0), B(-1, -3), C(5, -3), D(0, 3)0
17
0
18
0
19
0
20
(-3, 4)0
21
(-2, 0)0
22
(0, -5)0
23
(4, 0)0
24
(-1, 0)0
25
(0, 6)0
26
(0, -3)0
27
y x O 2 4 -2 -2 -4 -4 2 4 A C B ,180
28
y x O 2 4 -2 -2 -4 -4 2 4 A C D B , 600
29
y x O 2 4 -2 -2 -4 -4 2 4 A C D B , 600
30
점 E0
31
점 B, 점 G0
32
점 A0
33
점 C, 점 F0
34
제 1 사분면0
35
제 4 사분면0
36
제 2 사분면0
37
제 3 사분면[
0
34-
0
37]
y x O 2 4 -2 -2 -4 -4 2 4 A C D B0
38
점 A, 점 F0
39
점 B, 점 D0
40
점 C, 점 E0
41
×0
42
0
43
0
44
0
45
×0
46
×0
47
제 1 사분면0
48
제 4 사분면0
49
제 3 사분면0
50
제 1 사분면0
51
제 2 사분면0
52
제 3 사분면0
53
제 1 사분면0
54
제 2 사분면0
55
제 2 사분면0
56
제 4 사분면0
57
제 1 사분면0
58
제 4 사분면0
59
제 1 사분면0
60
제 3 사분면0
61
제 2 사분면0
62
제 2 사분면0
63
A(3, -2)0
64
B(-3, 2)0
65
C(-3, -2)[
0
63-
0
65]
y x O 2 4 -2 -2 -4 -4 2 4 P B A C0
66
0
67
0
68
[
0
66-
0
68]
y x O 2 4 -2 -2 -4 -4 2 4 P B A C0
69
a=-3, b=-10
70
a=-5, b=-20
71
a=4, b=30
72
a=-6, b=-;4!;0
73
a=-8, b=-20
74
a=-1, b=30
75
x(분) 1 2 3 4 5 y(L) 2 4 6 8 100
76
(2, 4), (3, 6), (4, 8), (5, 10)0
77
O 1 2 4 6 8 10 2 3 4 5 y(L) x(분)0
78
x(시간) 1 2 3 4 5 y(km) 30 60 90 120 1500
79
(2, 60), (3, 90), (4, 120), (5, 150)0
80
O 1 30 60 90 120 150 2 3 4 5 y(km) x(시간)0
81
x(시간) 1 2 3 4 5 y(cm) 8 6 4 2 00
82
(2, 6), (3, 4), (4, 2), (5, 0)0
83
O 1 2 4 6 8 10 2 3 4 5 y(cm) x(시간)0
84
x(km) 1 2 3 4 5 y(¾) 24 18 12 6 00
85
(2, 18), (3, 12), (4, 6), (5, 0)0
86
O 1 6 12 18 24 30 2 3 4 5 ℃) x(km)0
87
ㄷ0
88
ㄴ0
89
ㄱ0
90
ㄹ0
91
12`¾0
92
0시부터 15시까지0
93
20`¾0
94
30`m0
95
6번0
96
12분0
97
2분 후0
98
100`m0
99
⑤100
④101
⑤ 정비례 관계 p. 136~14218
102
x 1 2 3 4 5 y y 3 6 9 12 15 y / y=3x103
x -2 -1 0 1 2 y y 4 2 0 -2 -4 y / y=-2x104
105
106
×107
108
109
×110
x(cm) 1 2 3 4 y y(cm) 6 12 18 24 y111
정비례한다.112
y=6x113
x(일) 1 2 3 4 y y(문제) 5 10 15 20 y114
정비례한다.115
y=5x116
x(자루) 1 2 3 4 y y(원) 700 1400 2100 2800 y117
정비례한다.118
y=700x119
x(시간) 1 2 3 4 y y(km) 40 80 120 160 y120
정비례한다.121
y=40x122
y=10x, 123
y=12x , ×124
x -3 -2 -1 0 1 2 3 y -6 -4 -2 0 2 4 6 O 2 x 2 4 6 -2 -2 -4 -6 -4 4 O 2 x 2 4 6 -2 -2 -4 -6 -4 4127
x -3 -2 -1 0 1 2 3 y 6 4 2 0 -2 -4 -6128
O y x 2 2 4 6 -2 -2 -4 -6 -4 4129
O y x 2 2 4 6 -2 -2 -4 -6 -4 4130
0, 1 y x O 2 4 -2 -2 -4 -4 2 4131
0, 1 y x O 2 4 -2 -2 -4 -4 2 4132
0, 1 y x O 2 4 -2 -2 -4 -4 2 4133
0, -3 y x O 2 4 -2 -2 -4 -4 2 4134
135
136
137
138
×139
140
141
×142
2143
5144
4145
-7146
-6147
-2148
6149
11150
y x O 2 4 -2 -2 -4 -4 2 4 y=x y=2x y=3x151
위, 1, 3, 증가152
y=3x, y=2x, y=x153
ㄴ, ㄷ154
ㄴ, ㄷ155
y x O 2 4 -2 -2 -4 -4 2 4 y=-x y=-2x y=-3x156
아래, 2, 4, 감소157
y=-3x, y=-2x, y=-x158
ㄱ, ㄹ159
ㄱ, ㄹ160
3161
-3162
;3@;163
-;2#;164
9165
-6166
y=2x167
y=;3!;x168
y=-;3@;x169
y=-3x170
y=4x171
56`L172
y=120x173
4시간174
⑤175
④176
60`km 반비례 관계 p. 144~15019
177
x 1 2 3 4 6 y 12 6 4 3 2 / y=12x178
x -4 -2 -1 1 2 4 y 2 4 8 -8 -4 -2 / y=-x8179
×180
181
×182
183
184
185
x(개) 1 2 5 10 25 50 y(개) 50 25 10 5 2 1186
y=50x187
x(cm) 1 2 3 4 y y(cm) 24 12 8 6 y188
반비례한다.189
y=24x190
x(조각) 1 2 3 4 y y(g) 480 240 160 120 y191
반비례한다.192
y=480x193
x(L) 1 2 3 4 y y(분) 12 6 4 3 y194
반비례한다.195
y=12x196
y=1000x, ×197
y=100x , 198
x -6 -4 -3 -2 2 3 4 6 y -2 -3 -4 -6 6 4 3 2199
y x 2 2 4 6 -2 -2 -4 -6 -4 -6 O 4 6200
y x 2 2 4 6 -2 -2 -4 -6 -4 -6 O 4 6201
x -6 -4 -3 -2 2 3 4 6 y 2 3 4 6 -6 -4 -3 -2202
y x 2 2 4 6 -2 -2 -4 -6 -4 -6 O 4 6203
x 2 2 4 6 -2 -2 -4 -6 -4 -6 O 4 6204
x -8 -6 -4 -3 3 4 6 8 y -3 -4 -6 -8 8 6 4 3 y x O 2 2 4 6 8 -2 -2 -4 -6 -8 -4 -6 -8 4 6 8205
x -8 -4 -2 -1 1 2 4 8 y 1 2 4 8 -8 -4 -2 -1 O 2 2 4 6 -2 -2 -4 -6 -8 -4 -6 -8 4 y x 8 6 8206
207
×208
209
210
×211
212
1213
6214
-;4#;215
-;2#;216
-3217
3218
y x O 2 4 2 4 -2 -2 -4 -4 y= 3-x y= 1-x y= 2-x219
곡선, 1, 3, 감소220
y=;[!;, y=;[@;, y=;[#;221
ㄱ, ㄴ222
ㄱ, ㄴ223
O -2 -2 -4 -4 y=- 3-x y=- 1-x y=- 2-x 2 4 x 2 4224
곡선, 2, 4, 증가225
y=-;[!;, y=-;[@;, y=-;[#;226
ㄷ, ㄹ227
ㄷ, ㄹ228
-2229
15230
-6231
12232
-2233
10234
y=;[#;235
y=;[*;236
y=-10x237
y=-30x238
y=60x239
5`cm240
y=140x241
14대242
④243
⑤244
15번연산 Plus
소인수분해 p. 02~0301
0
1
소0
2
합0
3
합0
4
소0
5
0
6
×0
7
×0
8
×0
9
2ß`10
2Û`_3_5Û`11
3Û`_5Ü`_7Ý`12
3Ü`_7Û`_11113
2Û`_3Û`14
2Û`_1915
2Û`_3Ü`16
2Ü`_3_517
3Þ`18
5_7_1119
5Û`_1720
2Û`_3Û`_1321
2, 722
5, 2323
2, 324
2, 3, 525
826
927
1328
229
530
231
1432
533
2234
635
(위에서부터) 1, 11, 2, 22 / 1, 2, 11, 2236
(위에서부터) 1, 7, 3, 21, 9, 63 / 1, 3, 7, 9, 21, 6337
(위에서부터) 1, 5, 25, 2, 10, 50, 4, 20, 100 / 1, 2, 4, 5, 10, 20, 25, 50, 10038
20개39
18개40
72개41
24개42
24개 최대공약수 p. 04~0502
0
1
1, 2, 3, 4, 6, 12 / 1, 2, 4, 8, 16 / 1, 2, 4 / 40
2
1, 2, 3, 6, 9, 18 / 1, 2, 3, 4, 6, 8, 12, 24 / 1, 2, 3, 6 / 60
3
1, 2, 3, 5, 6, 10, 15, 30 / 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 / 1, 2, 3, 6 / 60
4
1, 3, 5, 150
5
1, 2, 13, 260
6
1, 7, 490
7
1, 2, 29, 580
8
×0
9
10
×11
×12
1413
1014
1215
1816
5Û`17
2Û`_7Û`18
3Û`_1319
3Û`20
5_7_11Û`21
2Û`_322
3Û`_523
6명24
4명25
3권, 5자루26
⑴
30`cm⑵
15장27
14`cm28
10`m29
⑴
20`m⑵
20개30
1231
1432
6 최소공배수 p. 06~0703
0
1
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, y / 5, 10, 15, 20, 25, 30, 35, 40, y / 20, 40, y / 200
2
8, 16, 24, 32, 40, y / 2, 4, 6, 8, 10, 12, 14, 16, y / 8, 16, y / 80
3
15, 30, 45, 60, 75, 900
4
24, 48, 72, 960
5
42, 840
6
720
7
4200
8
4800
9
25210
44011
2Û`_5Ü`12
2Û`_3Ý`_11Û`13
2Û`_3Ý`_5Ü`_17Û`14
2_3Ü`_5_7Û`_13Û`15
2Û`_3Ü`_5Ý`_13Ü`16
2Û`_3Û`_5Ü`17
2Ü`_3Ü`_7Û`_1118
2Û`_3Ü`_1119
3바퀴20
4바퀴21
36 cm22
30개23
45 cm24
4225
3개26
:£7¤:27
48 정수와 유리수 p. 08~0904
0
1
+17`kg, -13`kg0
2
-5`¾, +8`¾0
3
-1억 원, +3억 원0
4
+5000`m, -2000`m0
5
+15점, -23점0
6
+50
7
-80
8
+0.90
9
-;1°8;10
+;2Á0;11
양12
음13
음14
양15
+24, +716
-6, -117
9, +4.6, +;7$;18
-8, -:Á9Á:, -2.519
+4.6, +;7$;, -:Á9Á:, -2.520
21
22
×23
×24
25
26
-4, +127
-;2%;, +;2#;28
-;3&;, +;3@;29
-3 -4 -2-1 0+1+2+3+4 A B30
-3 -4 -2-1 0+1+2+3+4 A B31
032
+333
-3, 134
-;2!;, ;2!;절댓값과 수의 대소 관계 p. 10~11