5

6

30

5

6

3015

15

4

3

12

4

3

126

6

10

20

200

10

20

200100

100

x

y

xy

x

y

xyxy/2

xy/2

5

6

3015

5

6

3015

5

6

1530

5

6

1530

x

y

xy/2xy

4

6

3

126

18

10

8

4

4020

60

x

y

y/2

xy/2xy/4

xy/2 + xy/4

+ x y

4

x y +

8

4

8

x3 y

x y

2

x y2

x y6

4

3

4

x

x-1x+1

x(x+1)

x(x-1)/2

+x(x+1)

x(x-1)/2

x x + 1 + x x - 1

2

x x + 1 + x x - 1

2

2

x 2 + x - x

2

2 x+ 2 2

x23 x+2

A p B H

D C G

E F

p-1

p

p/2

p2

p-1 p/2

p2 p-1 p+

p2 p - p+ 2

2

2p2 p - p+ 2

2

3p2 - p2

2

3 ( xy – x ) – 2 ( y – x ) – 4xy

3xy 3x 2y 2x 4xy– – + –

xy x 2y– ––

=

=

-4 ( xy + x ) – 2 ( -y – x ) – 3xy

-4xy 4x 2y 2x 3xy– + + –

xy 2x 2y– +–7

=

=

-4 ( -xy - x ) – 2 ( y – x ) + 3xy

4xy 4x 2y 2x 3xy+ - + +

xy 6x 2y+ -7

=

=

6x2 + 4x2x

=

(2)(3) (2)(2)

2x 3x 2+

2x3x 2+=

10x2 + 6x2x

=

(2)(5) (2)(3)

2x 5x 3+

2x5x 3+=

12x2 + 9x3x

=

(3)(4) (3)(3)

3x 4x 3+

3x4x 3+=

x + y = 603x + 2y = 160

22 (2)120

x = 40

35 - x ≤ 25 - x ≤ 25 - 35

- x - 10≤x 10≥

10 - x ≥ 25 - x ≥ 25 - 10

- x 15≥x - 15≤

15 - x ≤ 23 - x ≤ 23 - 15

- x 8≤x - 8≥

15 - x ≥ 23 - x ≥ 23 - 15

- x 8≥x - 8≤

y = 7 x - 1

xy

0 2 4 6 8

-1 13 27 41 55

y = 3 x - 5

xy

-3 -1 1 3 5

-14 -8 -2 4 10

y = 2 x + 5

xy

0 1 2 3 4

5 7 13 23 37

2

y = 2 x - 3

xy

-2 -1 0 1 2

5 -1 -3 -1 5

2

0 , -4

4 , 4

0 + 42

, -4 + 42

= 2 , 0

y = m x + c

x

y

c

y = m x + 5

x

y

5

y = m x + 5

x

y

5(2,7)

(6,11)

m = 11 - 76 - 4

= 42 = 2

y = 2 x + c

x

y(5,13)

13 = 2 5 + cc = 3

3(0,3)

m = 13 - 35 - 0

= 105 = 2

a x b + c

= a x b + a x c

a x b x c

= a x b x c

a + b + c

= a + b + c

a x b x c

= a x b x c