ACT 01
014~015
쪽
ACT 02
016~017
쪽
ACT 03
018~019
쪽
ACT + 04
020~021
쪽
ACT 05
022~023
쪽
스피드 정답 스피드 정답은 각 문제의 정답만을 모아 놓아 채점하기에 유용합니다.
Chapter V 문자와 식
28 1 x-y 29 a-b x 30 a+2b
2x-y 31 ④ 18 -5/b
19 x/y 20 2a/3 21 a 22 -x 13 1/2(x+y)
14 -3(a-b) 15 a/3 16 -x/2 17 4/a
23 2x 24 -6a 25 x/2y 26 -a/5b 27 a+b
6 07 -t
08 xy 09 0.1ab 10 a^2 11 -x^2 12 3ay^3 01 5x
02 -3a 03 ab 04 axy 05 1/4&ax 06 -2ab
27 5a+x-y 5 28 -3(a+b)-a/b 29 x^3&-yz/x 30 -1/2&a^2&+b
a^2 31 ④
11 ax/2 12 -7a/y 13 xz/y 14 4b
a^2 15 a+3b 16 b-5x
17 x-y/2 18 y+4/a 19 y/x+a 20 2a+3b 21 3a-b/2
22 a/3+4/b 23 a/b-x 24 2y/x-6c 25 -4a+x^2 26 x/3-a^3 06 #!x^3/@y^2 $
07 ax/by 08 ab/c 09 5/ab 10 x/ay 01 2a/b
02 xy/z 03 -3ax 04 -a/bc 05 a^2&b
3
18 (6000-4y)원 19 (10000-1500k)원 20 a/10
21 x/20 g 22 b/5개
23 y, y/2 24 3p쪽 25 20q km 26 ①, ③ 12 x+8
13 (a-3)살 14 (14+y)살 15 7000-x 16 (a-3000)원 17 5000-600x 01 1, 2, 3, 4, a
02 300x 03 500b원 04 10y원 05 7m원 06 x/12
07 10000 b
원
08 y/10원 09 800x+700y 10 (3a+750b)원 11 (500x+4y)원01 ⑴ 10a+b ⑵ 10x+2 02 70+a 03 100m+n+50
04 ⑴ 5, x/20 / 21/20&x ⑵ (3000+30a)원 05 ⑴ 10, x/10 / 9/10&x ⑵ (500-5y)원
08 ⑴ a/3 % ⑵ 5000 b
%&
09 ⑴ 2x g ⑵ 11/030&y g&
10 (3a+5b) g 06 ⑴ 60x km
⑵ 시속 y/2 km&
⑶ a/50시간 07 ㉠, ㉢
26 3/2, 2/3, 4 27 -3 28 11 29 ③ 01 3 / 6, 1
02 15 03 -1 04 -1 05 13 06 1
07 15/2 08 -4 /
-12, -11 09 -16 10 28
17 -12 18 8 19 2/3, -4/9 20 4/9 21 8/9
22 8 23 6, 1/3 24 -2/3 25 1/4 11 14
12 -1 13 35 14 -4 15 -2 / 4, 16 16 8
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02 _
기적의 중학 연산 1B
ACT 06
024~025
쪽
ACT + 07
026~027
쪽
ACT 08
030~031
쪽
ACT 09
032~033
쪽
ACT 10
034~035
쪽
ACT 11
036~037
쪽
23 3/4, -1/5 / 4/3, -5 / 4, -5, -1
24 -2/3 25 13 26 33 27 ⑤ 01 2, -1, 9
02 -6 03 10 04 1 05 7 06 7
07 -4 08 -3, 4, 25 09 49 10 -3 11 -28 12 -1/2
13 3/2 14 5
15 -1/2, 2/3/ -1, 2, -3 16 -3 17 4
18 3 19 -17/2 20 -5/3 21 -2/9 22 5
24 -3/2&x 25 6/7&y 26 -2/27&a 27 -2/5&x 28 3/2&y 01 3 / 3 / 6 / 6x
02 -8a 03 -45y 04 -48x 05 -14a 06 16y 07 12x
08 -5x 09 -5a 10 -2y 11 -2/15&a 12 4/7&y
13 -1/2 / -1/2 / -7 / -7a 14 a
15 5a 16 -3x 17 -5x 18 2x
19 -9y 20 -10y 21 2/3&a 22 -1/6&a 23 2/5&x
21 12x-6 22 ② 01 2, 2 / 2, 6
02 4x-5 03 4x-3 04 -15x+9 05 -2x+3
06 4, 4 / 12, 8 07 5x-10 08 4x+6 09 4x-20 10 -15x+9
11 1/2 / 1/2, 1/2 / 3, 5 12 x-3
13 -x-8 14 -2x-2 15 2x+5
16 -2x+1 17 x-4 18 6x-18 19 3x+3/2 20 -12x-4
19 ◯ 20 × 21 × 22 ③ 01 4, 3
02 -3 / 4x, -3 / -3 / 4 03 -10 / -10/ -10/ 0 04 -x+2y+(-5) /
-x, 2y, -5 / -5 / -1
05 x^2&+(-3x)+(-4) / x^2, -3x, -4 / -4 / -3 06 ⑴ ◯ ⑵ × ⑶ ◯
07 ⑴ × ⑵ × ⑶ ◯ 08 1
09 2 10 2 11 0 12 3 13 1
14 2 15 1 16 ◯ 17 × 18 ◯ 01 4 / 4 / 4a
⑴ 8 ⑵ 12 ⑶ 20 02 x,x / x^2 ⑴ 4 ⑵ 9 ⑶ 49
03 a, b /2(a+b) ⑴ 10 ⑵ 22 04 a, b / ab ⑴ 20 ⑵ 48
05 a, h, 1/2&ah ⑴ 10 ⑵ 30 06 a, h, ah ⑴ 15 ⑵ 28
07 a, b, h, 1/2&(a+b)h ⑴ 10 ⑵ 28 08 a, b, 1/2&ab ⑴ 15 ⑵ 20
01 -3x, x/4 02 10y 03 5x^2, -8x^2
04 5와 -9, -3b와 1/2&b 05 3, 5
06 -2x
07 -4b 08 -3x 09 8y 10 4, 6 / 4 11 6x 12 b 13 6y
14 -4x 15 0 16 5/4&b 17 1/4&y
18 3, 4 / 3, 4 / 5, 1 19 3a-1
20 -2x-5y 21 -a+2b 22 4x+6y 23 5a-3b 24 7/3&x+3/4 25 3/5&a+1/3&b
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ACT 12
038~039
쪽
ACT 13
040~041
쪽
ACT + 14
042~043
쪽
TEST 05
044~045
쪽
16 2/3&x+5/6 17 2/9&x-14/9 18 13/6
19 -1/15&x+28/15 20 ④
01 7/12&x+7/10 02 3/4&x+11/3 03 2/3&x-5/6 04 -9/5&x+11/12 05 2x
06 1 07 4x+6 08 -4x-1 09 7/6&x+7/6 10 7/4&x-3/4
11 7/3&x-13/3 12 5/12&x+7/12 13 17/10&x-3/10 14 3/4&x+5/12 15 -1/12&x+11/12
17 1/6&x+11/6 18 2x-12 19 16x-15 20 -2x+2 01 ④ 02 ④
03 ①, ④ 04 ② 05 l=2(a+b)` 06 S=ah 07 l=30, S=48
08 ①, ③
09 ⑴ ◯ ⑵ ◯ ⑶ ×
⑷ × ⑸ ◯ ⑹ × 10 ①, ④
11 -16x
12 18y 13 4x-10 14 3x-2 15 ⑤ 16 -x+2
10 ③ 11 3x-5y 01 ⑴ 3x-4
⑵ -5x+15
⑶ 8x-9 02 ② 03 ①
04 ⑴ 5x+1 ⑵ x+3
⑶ 8x+3 ⑷ 7 05 5x-19 06 ⑤
07 ⑴ 4, 5 ⑵ 4x+2
⑶ 7x-5 ⑷ 3x+3 08 ④
09 4x-1 / 4x-1 / 4, 1 / 2x-4 01 x, 1 / -x, 5
02 3x+3 03 -2x+1 04 -3x+1 05 -11x+4 06 2, 2x / 2x, 2 /
2x, 2
13 5x+11 14 13x-16 15 19x-7 16 -16
17 3x, 6 / 3x, 6 / -x, 12 18 -x+20
19 x-8 20 -4x+3 21 9x+41 22 ⑤ 07 6x-5
08 2x-4 09 -13x+12 10 12x+2
11 6x, 20 / 6x, 20 / 10x, 29
12 9x+12
ACT 15
050~051
쪽
ACT 16
052~053
쪽
01 × 02 × 03 ◯ 04 ◯ 05 × 06 ◯
07 12-5=7 08 x+9=15 09 x-3=4x+2 10 700x=3500 11 8x=32 12 20x=60
13 방 14 항 15 항 16 방 17 항
18 × 19 ◯ 20 × 21 ◯ 22 ◯
23 a=3, b=2 24 a=4, b=-2 25 a=5, b=-2 26 a=-3, b=-1 27 a=-7, b=4 28 ②
01 4 02 9 03 5 04 2 05 -3
06 7 07 ◯ 08 × 09 ◯ 10 ×
11 ◯
12 2 / 2, 2 / 7 13 x=6 14 x=-2 15 x=-11
16 x=6 17 x=-24 18 x=2 19 x=-5
21 x=4 22 x=25 23 x=-2 24 ③
Chapter VI 일차방정식
20 4 / 4, 4 / 9 / 3 / 3, 9/3 / 3
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04 _
기적의 중학 연산 1B
ACT 17
056~057
쪽
ACT 18
058~059
쪽
ACT 19
060~061
쪽
ACT 20
062~063
쪽
ACT 21
064~065
쪽
ACT 22
066~067
쪽
01 4 02 x=3-5 03 -3x=7-1 04 2x+x=9 05 4x-2x=-8 06 2x+3x=5-5 07 5 / 6
08 5x=2 09 5x=10 10 -7x=-1 11 1/2&x=2 12 -1/6&x=-13/6
13 ◯ / 4 / 1 14 ◯ / -3x-3=0 15 ◯ / -2x+6=0 16 × / 3x^2&+2x+4=0 17 ◯ / -5x+7=0 18 × / 0=0 19 ◯ / 4x-1=0
20 2, 3 / a-2 / 2 / -2, -1, 0, 1 21 1, 2, 4, 5 22 -2, 0, 1, 2 23 -4, -3, -2, -1 24 ④
01 2, 3 02 x=-3 03 x=2 04 x=-9 05 x=-8 06 x=9
07 3 / 8 / 8 / 4 08 x=-5/3 09 x=0 10 x=7 11 x=-5/4
12 x=-7/3 13 2x, 4 / 4 14 x=-1/2 15 x=1 16 x=-1
23 x=1/2 24 x=-1 25 x=2 26 x=-5/2 27 ④ 17 x=3
18 x=2 19 x=-4/5 20 x=9 21 x, 3 / 4 22 x=2 01 6 / 6 / 1 / 1/3
02 x=1 03 x=-8/5 04 x=3 05 x=1/4
06 3 / 2x, -3 / -3 07 x=2
08 x=-2 09 x=1/3 10 x=3/2
11 x=-8 12 x=0 13 x=-5 14 x=2 15 x=-3/2
20 x=14 21 x=1 22 x=-1/2 23 ④ 16 x=5/3
17 x=-3 18 x=-15/2 19 x=4/7
01 10 / 5, 2 / -3 / -1 02 x=-5
03 100 / 4, 16 / 20 / 10 04 x=8
05 x=-1 06 x=2
07 x=4 08 x=3 09 x=30 10 x=60 11 x=2
12 x=-1/3 13 x=7 14 x=-22 15 x=-3/5
20 x=1/4 21 x=1/3 22 x=-9 23 ⑤ 16 x=43
17 x=7 18 x=-7 19 x=-3/2
01 5, 5 / 10 02 x=-3 03 x=-2 04 x=4/3
05 6 / 2, 9 / 7 / 7/3 06 x=23/6
07 x=2 08 x=-8/17 09 12 / 9, 6 / -2, -1 / 1/2 10 x=-50 11 x=2
16 x=-5 17 x=18/7 18 x=-9/2 19 ① 12 x=-5/3
13 x=2/5 14 x=-7/5 15 15 / 5x, 10 / -5, -7 / 7/5
01 2, 2 / 6 / 7 02 x=-8 03 x=1/7 04 x=1/3
05 2, 2 / 2 / 1 06 x=-10 07 x=1 08 x=2/5
14 x=23/3 15 x=-1 16 x=-1/3 17 x=-1/7 09 10, 0 / -14
10 x=13 11 x=-10 12 x=17 13 x=1
18 x=2 19 x=-9 20 x=3/17
기적의중학연산_1B_빠답-출력.indd 4 2018-12-05 오후 2:51:47
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ACT 23
068~069
쪽
ACT + 24
070~071
쪽
ACT 25
072~073
쪽
ACT + 26
074~075
쪽
ACT + 27
076~077
쪽
ACT + 28
078~079
쪽
01 2 / 2 / 6 / -6 02 x=4/13 03 x=5 04 x=-17
05 6 / x, 6 / 2, -24 / -12 06 x=-4 07 x=-1 08 x=1
09 x=-1/5 10 x=1 11 x=3/5 12 x=2
13 x=3/7 14 x=9/19 15 x=1 16 x=-3
17 x=11 18 x=-5/2 19 ②
01 ⑴ 5x-3, x-1 / 5x-3, 2 / 3, 1 / 1/3 ⑵ x=4 ⑶ x=1 ⑷ x=9 ⑸ x=-3/5
02 ③ 03 -4 04 ②
05 ⑴ 2 / 2 / 1 / -1 ⑵ -3
06 ⑴ -2 / -6 / 6 / 2 ⑵ 1/3 07 -5
08 ⑴ x=3 ⑵ -3 09 ③
10 2 01 6+x
02 x+10=3x 03 2(6+x)=30 04 1/2(x+9)×7=56 05 50x=150
06 7x+5=40 07 (x+9)+x=25 08 800×5+500x=7000 09 4 / -20
10 x-9=-13 / -4 11 x+15=3x-7 / 11
12 2x-5=4x+9 / -7 13 (x+10)div2=5x / 10/9 14 39+x, 11+x / x, x / 3년 15 32+x=2(14+x) / 4년 16 70+x=4(16+x) / 2년 01 ⑴ x-1, x+1
⑵ (x-1)+x+(x+1)=15 ⑶ x=5 ⑷ 4, 5, 6
02 x+(x+1)+(x+2)=24 / 7 03 (x-4)+(x-2)+x=30 / 12 04 ⑴ 20+x / 10x+2
⑵ 10x+2=(20+x)+45 ⑶ x=7 ⑷ 27
05 40+x=(10x+4)-18 / 64
06 ⑴ (x+4) cm ⑵ 2{(x+4)+x}=40 ⑶ x=8 ⑷ 8 cm
07 2(8+x)=26 / 5 cm 08 1/2\9\x=27 / 6 cm 09 2{x+(x+3)}=34 / 7 cm 10 1/2{x+(x+2)}\8=48 / 5 cm 11 8(9+x)=96 / 3
01 ⑴ (10-x)개 ⑵ 900, 10-x ⑶ x=6 ⑷ 6, 4 02 1000x+1400(10-x)=12000
사과 : 5개, 배 : 5개 03 2x+3(13-x)=30 / 9개 04 4(32-x)+2x=80 / 24마리 05 750x+950(10-x)=10000-1100
연필 : 3자루, 색연필 : 7자루
06 ⑴ ① 4x+3 ② 5x-2 ⑵ 4x+3=5x-2
⑶ x=5 ⑷ 5 / 23 07 5x+8=6x-4 / 12명
08 7x+5=8x-6 / 82자루
09 6x+3=7x-2 상자 : 5개, 도넛 : 33개
10 5x+4=7x-12 / 4개
01 x km / x/3시간 / 2, 3 / 6 km 02 x/6+x/4=100/60 / 4 km 03 (3-x) km / 3-x
4
시간
3,
3-x,
50/
1
km 04 2000-x
80 + x
200=16
/
1200
m
05 ➊ 10, 500 ➋ 8, 500+x / 10, 500, 8, 500+x / 125 g 06 13/000&\200=51/000&\(200-x) / 80 g
07 ➊ 8, 200 ➋ `15 ➌ 10, 200+x
18/00&\200+11/050&\x=11/000&\(200+x) / 80 g 08 11/000&\300+61/00&\x=81/00&\(300+x) / 300 g
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06 _
기적의 중학 연산 1B
Chapter VII 좌표평면과 그래프
TEST 06
080~081
쪽
01 ④ 02 ②, ④ 03 ④ 04 ①, `⑤
05 ④ 06 ② 07 x=2 08 x=-2
09 x=5 10 &x=9/5 11 &② 12 &24
13 -2 14 ③ 15 17 16 6
17 11포기 18 49권 19 10 km 20 &200 g
ACT 29
086~087
쪽
ACT 30
088~089
쪽
ACT 31
090~091
쪽
01 -3, 0, 4 02 -4, -3/2, 1 03 -7/2, 4/3, 5/2 04
-4-3 4
A -2 -1 0 1 2 3
C B
05
-4-3 4
F -2 -1 0 1 2 3
E D
06
-4-3 4
G -2 -1 0 1 2 3 I H
07 1, 1 / 2, -3 / -4, 2 / -3, -1 08 3, -2 / 4, 3 / -1, -3 / -3, 4 09 -2, 2 / -4, -4 / 3, 2 / 1, -3
10
O 2
-2 -4 4
2 -2
-4 4
y
x D A
C B
11
O 2
-2 -4 4
2 -2
-4 4
y
x G
F E H
12
K I
O 2
-2 -4 4
2 -2
-4 4
y
x J
L
01 2, 4 02 3, -1 03 -5, 6 04 -8, -3 05 7, -2 06 -9, 10 07 A(5, 3) 08 B(-2, -6) 09 C(4, -8) 10 D(-3, 1)
11 E(-7, -9) 12 F(10, -5) 13~16
O 2
-2 -4 4
2 -2
-4 4
y
Ax D C B
13 A(4, 0) 14 B(-3, 0)
19 G(0, 1) 20 H(0, -3) 21 0 / 0, -1 22 5
23 3/2 24 -2 25 0 / 0, 2 26 -6 27 -3 28 5 15 C(-1, 0)
16 D(2, 0) 17~20
O 2
-2 -4 4
2 -2
-4 4
y
x EG
HF
17 E(0, 2) 18 F(0, -4) 01~06
O 2
-2 -4 4
2 -2
-4 4
y
x E A
D C
B F
01 제2사분면
02 어느 사분면에도 속하지 않 는다.
20 +, +, 1 21 -, -, 3 22 +, -, 4 23 +, -, 4 24 +, -, 4 25 -, +, 2 26 +, +, 1 27 제2사분면 03 제4사분면
04 제3사분면 05 제1사분면 06 어느 사분면에도
속하지 않는다.
07 B, E 08 C, F 09 D, E 10 -, 4
11 -, +, 2 12 -, -, 3 13 +, -, 4 14 +, +, 1 15 -, 4 16 -, -, 3 17 - +, 2 18 -, -, 3 19 +, +, 1
기적의중학연산_1B_빠답-출력.indd 6 2018-12-05 오후 2:51:49
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ACT 32
092~093
쪽
ACT 33
094~095
쪽
ACT + 34
096~097
쪽
ACT 35
100~101
쪽
01 4, 8, 12, 16, 20 02 (1, 4), (2, 8),(3, 12),
(4, 16), (5, 20) 03
O 4 8 12 16 20
2 4 6 y
x
04 10, 20, 30, 40, 50
05 (1, 10), (2, 20), (3, 30), (4, 40), (5, 50)
06 y
O x 20 40 60
2 4 6
07 × 09 × 08 ◯ 10 ◯
11 50 doC 12 20 doC 13 40분 14 30분 15 60분 16 120분 17 150 kcal 18 100 kcal 19 50분 01~03
O 2
-2 -4 4
2 -2
-4 4
y
x R P
S Q
01 Q(4, -2) 02 R(-4, 2) 03 S(-4, -2) 04~06
O 2
-2 -4 4
2 -2
-4 4
y
x
P R
S Q
04 Q(-2, -3) 05 R(2, 3) 06 S(2, -3) 07 Q(-1, -5) 08 R(1, 5) 09 S(1, -5) 10 Q(6, 4) 11 R(-6, -4) 12 S(-6, 4) 13 Q(-3, 7) 14 R(3, -7) 15 S(3, 7)
27
O 2
-2 -4 4
2 -2
-4 4
y
x B A C
28
O 2
-2 -4 4
2 -2
-4 4
y
x Q P
R
29 8 16 a=-4, b=-2
17 a=5, b=3 18 a=7, b=1 19 a=7, b=1 20 a=-2, b=1 21 a=-5, b=-4 22 a=1, b=-3 23 a=-2, b=4 24 a=-7, b=3 25 B(3, -2) 26 C(-3, 2)
01 ⑴
O 2
-2 -4 4
2 -2
-4 4
y
x D
C A
B
⑵ 25
02
O 2
-2 -4 4
2 -2
-4 4
y
x D
C A
B
, 25
03 ⑴
O 2
-2 -4 4 -2 2
-4 4
y
Cx A
B
⑵ 10
04
O 2
-2 -4 4
2 -2
-4 4
y
x A C
B , 15
05 ⑴ ㉠
⑵ ㉣
⑶ ㉡
⑷ ㉢ 06 ⑴ ㉢
⑵ ㉡ 07 ⑤
01 4, 6 / 2 02 6, 12 / 3 03 -8, -12 / -4 04 1/3, 2/3 / 1/3
05 ◯ 06 × 07 ◯ 08 ◯
13 y=500x 14 y=60x 15 y=25x 16 y=10x
22 y=1/3&x 23 y=1/2&x 24 y=2x 25 -3 17 y=2000x
18 y=5x 19 y=130x 20 8, 2, 4 / 4 21 y=-3x 09 ×
10 ◯ 11 × 12 y=6x