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(1)

ACT 01

014~015

ACT 02

016~017

ACT 03

018~019

ACT + 04

020~021

ACT 05

022~023

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 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

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) 19 (10000-1500k) 20 a/10

21 x/20 g 22 b/5

23 y, y/2 24 3p 25 20q km 26 ①, ③ 12 x+8

13 (a-3) 14 (14+y) 15 7000-x 16 (a-3000) 17 5000-600x 01 1, 2, 3, 4, a

02 300x 03 500b 04 10y 05 7m 06 x/12

07 10000 b

08 y/10 09 800x+700y 10 (3a+750b) 11 (500x+4y)

0110a+b 10x+2 02 70+a 03 100m+n+50

045, x/20 / 21/20&x (3000+30a) 0510, x/10 / 9/10&x (500-5y)

08a/3 % 5000 b

%&

092x g 11/030&y g&

10 (3a+5b) g 0660x km

⑵ 시속 y/2 km&

a/50시간 07 ㉠, ㉢

26 3/2, 2/3, 4 27 -3 28 11 29 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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(2)

02 _

기적의 중학 연산 1B

ACT 06

024~025

ACT + 07

026~027

ACT 08

030~031

ACT 09

032~033

ACT 10

034~035

ACT 11

036~037

23 3/4, -1/5 / 4/3, -5 / 4, -5, -1

24 -2/3 25 13 26 33 27 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 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 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

81220 02 x,x / x^2 4949

03 a, b /2(a+b) 1022 04 a, b / ab 2048

05 a, h, 1/2&ah 1030 06 a, h, ah 1528

07 a, b, h, 1/2&(a+b)h 1028 08 a, b, 1/2&ab 1520

01 -3x, x/4 02 10y 03 5x^2, -8x^2

04 5-9, -3b1/2&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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(3)

ACT 12

038~039

ACT 13

040~041

ACT + 14

042~043

TEST 05

044~045

16 2/3&x+5/6 17 2/9&x-14/9 18 13/6

19 -1/15&x+28/15 20

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 02

03 ①, ④ 04 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 16 -x+2

10 11 3x-5y 013x-4

-5x+15

8x-9 02 03

045x+1x+3

8x+37 05 5x-19 06

074, 5 4x+2

7x-53x+3 08

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 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

ACT 16

052~053

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 14 15 16 17

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

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

Chapter VI 일차방정식

20 4 / 4, 4 / 9 / 3 / 3, 9/3 / 3

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(4)

04 _

기적의 중학 연산 1B

ACT 17

056~057

ACT 18

058~059

ACT 19

060~061

ACT 20

062~063

ACT 21

064~065

ACT 22

066~067

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

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 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 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 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 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

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(5)

ACT 23

068~069

ACT + 24

070~071

ACT 25

072~073

ACT + 26

074~075

ACT + 27

076~077

ACT + 28

078~079

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

015x-3, x-1 / 5x-3, 2 / 3, 1 / 1/3 x=4x=1 x=9x=-3/5

02 03 -4 04

052 / 2 / 1 / -1 -3

06-2 / -6 / 6 / 21/3 07 -5

08x=3-3 09

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 / 3 15 32+x=2(14+x) / 4 16 70+x=4(16+x) / 2 01x-1, x+1

(x-1)+x+(x+1)=15 x=54, 5, 6

02 x+(x+1)+(x+2)=24 / 7 03 (x-4)+(x-2)+x=30 / 12 0420+x / 10x+2

10x+2=(20+x)+45 x=727

05 40+x=(10x+4)-18 / 64

06(x+4) cm2{(x+4)+x}=40 x=8 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(10-x) 900, 10-x x=6 6, 4 02 1000x+1400(10-x)=12000

사과 : 5개, 배 : 5 03 2x+3(13-x)=30 / 9 04 4(32-x)+2x=80 / 24마리 05 750x+950(10-x)=10000-1100

연필 : 3자루, 색연필 : 7자루

06 ⑴ ① 4x+35x-2 4x+3=5x-2

x=5 5 / 23 07 5x+8=6x-4 / 12

08 7x+5=8x-6 / 82자루

09 6x+3=7x-2 상자 : 5개, 도넛 : 33

10 5x+4=7x-12 / 4

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

0510, 5008, 500+x / 10, 500, 8, 500+x / 125 g 06 13/000&\200=51/000&\(200-x) / 80 g

078, 200 ➋ `1510, 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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(6)

06 _

기적의 중학 연산 1B

Chapter VII 좌표평면과 그래프

TEST 06

080~081

01 02 ②, ④ 03 04 ①, `⑤

05 06 07 x=2 08 x=-2

09 x=5 10 &x=9/5 11 & 12 &24

13 -2 14 15 17 16 6

17 11포기 18 49 19 10 km 20 &200 g

ACT 29

086~087

ACT 30

088~089

ACT 31

090~091

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

012사분면

02 어느 사분면에도 속하지 않 는다.

20 +, +, 1 21 -, -, 3 22 +, -, 4 23 +, -, 4 24 +, -, 4 25 -, +, 2 26 +, +, 1 272사분면 034사분면

043사분면 051사분면 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

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(7)

ACT 32

092~093

ACT 33

094~095

ACT + 34

096~097

ACT 35

100~101

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 40 14 30 15 60 16 120 17 150 kcal 18 100 kcal 19 50 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

O 2

-2 -4 4

2 -2

-4 4

y

x D

C A

B

25

02

O 2

-2 -4 4

2 -2

-4 4

y

x D

C A

B

, 25

03

O 2

-2 -4 4 -2 2

-4 4

y

Cx A

B

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

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

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