Алгебра 7 клас. Збірник завдань для самостійних та контрольних робіт

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- - - - 5

7

, , , , , -

2015 , - , - - 5 ,

, - - 5 ,

, - - 5

, , - - 5 , -

- - 5

: , 14 14 , - - - - - 5 ( 2 11.11.2015.)

7 . , 7 . 7 , . . , . . , .. .

7- . , 7 . 7 , . . , . . , .. . , . , , . . , . , , . . : ; 4-5 . 8 : 1, 2, 3, 4 , 5-8 . (9), 8. . . , . . , .. . 7 . , . (. .)

123456789

2 2 2 3 3

112 2 1113 3

25-30, 45. . , .

1 (6 ) 1-4 , 1. 3 9 :1 2 3 4

784231092702

2. :1 2 3 4

3. 5(8+3)?1 2 3 4

40+38+15-40-1540+15

4. .1 2 3 4

(3 )5. : 4,9+8,1=-17,5.6. 14 . 56- ?7. 284 . 54% , . ?

(3 )8. , =1; .9. , 61(87+145) 29.

2 (6 ) 1-4 , 1. 5 10 :1 2 3 4

523010052014

2. :1 2 3 4

3. 3(4-2)?1 2 3 4

2-24-26-1212-6

4. .1 2 3 4

15

(3 )5. : 6,8+2,2=-63.6. 6, 4,5. .7. 80. 30% , . , 24 , . , ?

(3 )8.

, ; .9. , 27(57+76) 19.

1. 1 . .

1 (6 ) 1-3 , 1.

. 1 2 3 4

2,72,82,62,75

2. 0,3-4, =20.1 2 3 4

3254

3. 5+3+4?1 2 3 4

8+4848-4

(3 )4. 2(-3)+5(+4)=7+14.

(3 )5. , 3 . ?

1 . .

2 (6 ) 1-3 , 1.

. 1 2 3 4

2,72,82,62,75

2. 0,4-4, =10.1 2 3 4

1204

3. 5-3+4?1 2 3 4

2+4242-4

(3 )4. 3(+4)+4(+2)=7+20.

(3 )5. b , 4 . ?

2 . . .

1 (6 ) 1-3 , 1. 102.1 2 3 4

201002002

2. 27.1 2 3 4

32343292

3. 25.1 2 3 4

710710

(3 )4. : (3)22=-1.

(3 )5. : 252b4.

2 . . .

2 (6 ) 1-3 , 1. 43.1 2 3 4

12641632

2. 32.1 2 3 4

23244225

3. 52.1 2 3 4

3523(52)

(3 )4. : (4)26=-1.

(3 )5. : 366b2.

1 . . .

1 1-4 , 1. +-3, =2, =7.1 2 3 4

5687

2. 52.1 2 3 4

10362512

3. (b8)3.1 2 3 4

b83b11b24b5

4. (32)3.1 2 3 4

936276962736

(3)5. 2+5+2(+7)+3(-6).6. :1) 102) 332=3; 3) 22=0.7. 8. :1) 2) 5(23)2;3) (-32)3.

(3)9. , 524=8. 1,5 24.10. , - : .

1 2 1-4 , 1. -+3, =8, =7.1 2 3 4

2347

2. 62.1 2 3 4

10362512

3. (7)4.1 2 3 4

7411328

4. (22)3.1 2 3 4

636862863636

(3)5. 3+9+3(-6)+2(+8).6. :4) 111) 54=5; 2) 37=0.7. 8. :4) 1) 3(34)2;2) (-22)3.

(3)9. , 334=7. : 2,4 34.10. , - : .

3

1 (6 ) 1-3 , 1. 27+3 5.1 2 3 4

10727+1527-227+8

2. + +-.1 2 3 4

2+2-2-2+

3. m3+n2, m=2, n=3.1 2 3 4

17121514

(3 )4. 1++32+43+(-2-33).

(3 )5. , - n : (7 n+21)-(5+ n) 4.

3

2 (6 ) 1-3 , 1. 53-4 23.1 2 3 4

7373-433-476-4

2. - --.1 2 3 4

2+2-2-2+

3. m3-n2, m=2, n=3.1 2 3 4

0-112

(3 )4. 3+33+54+(-3-34).

(3 )5. , - n : (9 n+31)-(5-4 n) 13.

4 . .

1 (6 ) 1-3 , 1. 2+ 3.1 2 3 4

2+36+362+362+

2. (-3) (2+3).1 2 3 4

22+3-922-3-922-3+922+3+9

3. (-4)=0.1 2 3 4

0; 440

(3 )4. (2-+1)(+1)-3.

(3 )5. (-1)(+5)=(-2)(+3).

4 . .

2 (6 ) 1-3 , 1. 3- 2.1 2 3 4

3-26+262-262+2

2. (-4) (2+5).1 2 3 4

22+3-2022-3-2022-3+2022+3+20

3. (-5)=0.1 2 3 4

50;50

(3 )4. (2++1)(+1)-3.

(3 )5. (2+3)(-7)=(+3)(2+1).

5 . .

1 (6 ) 1-3 , 1. 2+.1 2 3 4

2. m2x-my.1 2 3 4

m (mx+y)m (m-y)m (mx-y)m (x-my)

3. 3z2+z=0.1 2 3 4

00; 0;--

(3 )4. +-z+nx+ny-nz.

(3 )5. 3-62+=6.

5 . .

2 (6 ) 1-3 , 1. m3c-.1 2 3 4

mm

2. a3x+xy.1 2 3 4

x(a3+y)a(a-y)a(ax-y)a(x-ay)

3. 4z2-z=0.1 2 3 4

00; 0;--

(3 )4. 2+bx2+x-cx2+bx-cx.

(3 )5. 3+72+= -7.

2

1 1-4 , 1. ?1 2 3 4

a3+b3ab

ab

2. 25+33-+8.1 2 3 4

7654

3. ( -3)(+3).1 2 3 4

2-92+2+92-2+9

4. 5-25.1 2 3 4

25555

(3)5. -+-.6. 3-82+-8, =10.7. 2+(2+)(2-).

(3)8. 6(-2)+8(-2)+4(2-).9. , 210312+28312+210310+28310 300.

2

2 1-4 , 1. ?1 2 3 4

a

+23a

2. 57+34-+3.1 2 3 4

7654

3. ( -4)(+4).1 2 3 4

2-162+8+162-8+162

4. 6+36.1 2 3 4

36666

(3)5. ++b+b.6. 3-72+-7, =9.7. 2+(5+)(5-).

(3)8. 6a(2-)+8b(-2)+4(a-2).9. , 510315-58316+511312-59313 11.

6

1 (6 ) 1-3 , 1. :(3+)2.1 2 3 4

9+3+29+6+29-3+29-6+2

2. : (5+6)(6-5).1 2 3 4

25-362362+25362-60+25362-25

3. : (-2)2-(-5)(+5).1 2 3 4

4+2929-422-21

(3 )4. : (-2)(2+2+4)=3+4.

(3 )5. , (4n+1)2-8n(2n-3)+7 8 n.

6

2 (6 ) 1-3 , 1. :(3-)2.1 2 3 4

9+3+29+6+29-3+29-6+2

2. : (5-6)(6+5).1 2 3 4

25-362362+25362-60+25362-25

3. : (-3)2-(-4)(+4).1 2 3 4

6+2525-622-19

(3 )4. : (+3)(2-3+9)=3+6.

(3 )5. , (6n+1)2-3n(12n-2)+5 6 n.

7

1 (6 ) 1-3 , 1. 42-4+2.1 2 3 4

(2-)2(2+)2(2-)(2+)

2. 4b2-9d2.1 2 3 4

(4b-9d)(4b+9d)(2b-3d)(2b+3d)(2b-3d)2(2b+3d)2

3. 3-64.1 2 3 4

(-4)(2+4+16)(-8)(+8)(+4)(2-4+16)(+4)(2-4+16)

(3 )4. (3-2)2-1=0.

(3 )5. 2+4+5?

7

2 (6 ) 1-3 , 1. 42+4+2.1 2 3 4

(2-)2(2+)2(2-)(2+)

2. 9b2-25d2.1 2 3 4

(3b-5d)(3b+5d)(5b-3d)(5b+3d)(3b-5d)2(3b+5d)2

3. 3+64.1 2 3 4

(-4)(2+4+16)(-8)(+8)(+4)(2-4+16)(+4)(2-4+16)

(3 )4. : (1+2)2-1=0.

(3 )5. 2+6+10?

8

1 (6 ) 1-3 , 1. 32-3.1 2 3 4

3(2-3)3(2-1)3(-1)23(-1)(+1)

2. 3mn+24n-9m-72.1 2 3 4

3(n+3)(m-8)3(n-3)(m+8)(3n-9)(m+8)(n-3)(3m+24)

3. 43-16=0?1 2 3 4

0-22-3

(3 )4. 3-62+9=0.

(3 )5. , - n n2+3n+2 2.

8

2 (6 ) 1-3 , 1. 32+3.1 2 3 4

3(2-3)3(2+1)3(-1)23(-1)(+1)

2. 2mn+16n-6m-48.1 2 3 4

2(n+3)(m-8)2(n-3)(m+8)(2n-6)(m+8)(n-3)(2m+16)

3. 23-50=0?1 2 3 4

0-55-3

(3 )4. 3-82+16=0.

(3 )5. , - n n2+5n+6 2.

3

1 (6 ) 1-4 , 1. (4+)2.1 2 3 4

16+4+216+8+216-8+216-4+2

2. (2+3)(3-2).1 2 3 4

4-9242+942-12+992-4

3. (-3)2-(-4)(+4).1 2 3 4

6+2525-622-25

4. 3-8.1 2 3 4

(-2)(2+2+4)(-2)(+2)(+2)(2-2+4)(-2)(2-2+4)

(3 )5. (-3)(2+3+9)=3+3.6. (-3)(+3)-(-6).7. 2-4+3.

(3 )8.

. 9. , (4n+1)2-8n(2n-3)+7 8 n.

3

2 (6 ) 1-4 , 1. (4-)2.1 2 3 4

16+4+216+8+216-8+216-4+2

2. (2-3)(2+3).1 2 3 4

4-9242-942-12+992-4

3. (+4)2-(-3)(+3).1 2 3 4

8+2525-822-25

4. 3+8.1 2 3 4

(-2)(2+2+4)(-2)(+2)(+2)(2-2+4)(-2)(2-2+4)

(3 )5. (-4)(2+4+16)=3-8.6. (-5)(+5)-(-7).7. 2-6+8.

(3 )8.

. 9. , (6n+1)2-3n(12n-2)+5 6 n.

2. 9

1 (6 ) 1-3 , 1. =. , 20.1 2 3 4

0,8416-20

2. (-2;7)?1 2 3 4

VIIIIII

3. ?1 2 3 4

=2-2==7-2=3

(3 )4. =3-2.

(3 )5. :

28

) =2+2;

) =.

9

2 (6 ) 1-3 , 1. =0,4. , 5.1 2 3 4

451,24,52

2. (-0,3;-1)?1 2 3 4

VIIIIII

3. ?1 2 3 4

=5+1=2+1=+1=0,7-3

(3 )4. =4-3.

(3 )5. :

43

) =1+3;

) =.

4

1 1-4 , 1. =-4+3, -2.1 2 3 4

-10110-5

2. =-2+5 13?1 2 3 4

-9412-4

3. =5-7?1 2 3 4

(1;12)(3;8)(-1;12)(2;-3)

4. =8-2?1 2 3 4

-2824

(3)5. =5-4.6. , =4-32. 7. :

1) =23+1;2) =.

(3)8. : = =-+4.9. =|-3|

4

2 1-4 , 1. =-2+7, -5.1 2 3 4

-3017-10

2. =-3+4 16?1 2 3 4

4-4610

3. =7-5?1 2 3 4

(-1;10)(1;5)(0;5)(3;16)

4. =7-3?1 2 3 4

7-33

(3)5. =-4+3.6. , =21-7. 7. :

1) =22+5;2) =.

(3)8. : =2+6 =+3.9. =|+2|

4. 10

1 (6 ) 1-3 , , 1. 2+5=7.1 2 3 4

-1120

2. , 4-5=-3-7.1 2 3 4

4-3=7-54+3=-7+5-4+3=-7-5-4+3=7+5

3.

, +2= 5?1 2 3 4