Họ tên học sinh: ................................................................Lớp 8A

ĐỀ CƯƠNG ÔN TẬP KIỂM TRA KHẢO SÁT TOÁN 8
NĂM HỌC 2014 - 2015
Đ 1
i1

Đ 2
1

a) 6xy3 (3x3y b)
c)
d)
e)
2
a)
b)
c)

1 2 1
x + x)
2
5

(5x – 2y )(x2 –xy + 1 )
(a + b)3 - 3ab(a + b)
( 15x3y2 – 6x2y – 3x2y2) : (-6x2y)
(2x + 3)(2x – 3) – 2x(5-6x)
5x2 + 7y – 5xy – 7x
8 – 27x3
x2 + 2xy – 49 + y2

b) (x2 – 2x + 3 )(x – 4)
c) (x + 3)2 - ( 4x + 1) - x(2 + x)
d) (3x4y3 -

3 3
1
x y - x2y2) : ( x2y2)
4
3

e) (x - 1)2 - (x – 2) (x + 2)
2
a) x2 y – x3 – 9y +9x
b) 8a3 + 1
c) x2 + 2xy – 36 + y2
d) a3 – 4a2b + 4ab2
e) 2x (x – 3) + 10 (3 – x)

a) 5x (x – 3) – x + 3 = 0
b) 2x2 - 50x = 0
c) (4x – 1)( 3 - x) – (2x + 3) (2x - 1) = 0
4
a) 9x2 – 30xy + 25y2
b) 1022 – 4. 102 + 4
Bài 5:
a)
– 1) – 3n (n - 2)

– 4xy + 4y2 +1 > 0
2

a) ( 3 + xy2)2
b) (2x2 – 3x)(5x2 – 2x + 1)
c) ( x – 5)( 2x + 3) - 2x (x – 3) + x +7
d) (15x3y2 - 2x2y3 + 5 xy2) : (-5x2y2)
e) (x - 3)2 + x (1 - x )
2
a) x2 -12x + 36

Đ
1
a) (-2xy2)(3x2y – 4xy + 5y)
b) (x – 2y)(3xy + 5y2 + x)
c) (3x + 1)2 + (2 – 3x)(2 + 3x)
d) (4x2 – 2x3 + x4) : (– 2x)
e) (2x + 5)2 – 2x(2x + 9)
2
a) 5x2 + 20x2 -35xy2
b) 3x(x – 2y) + 6y(2y – x)
c) 64x2 – ( 8a + b)2
d) 27x3 – a3b3
e) a2y2 + b2x2 – 2 abxy

c) a2 – b2+ a + b
d) a3 – 4a2b + 4ab2
e) 4x2 - 8xy – 3y + 6x

a) x2 – 2x + 1 = 25
b)
− )−
− ) −

– 3) – 2n (n + 1)

a)
, BC

a)
thang vuông.
b)
c) CF c
DM

− )2

−

b)

b)
ằ
2
ta có : (2n + 5) –
, AC = 10cm, BC = 12cm

, K tia

a)
hình thang cân

.
b)

1
(CD –AB)
2

a)
b)
c)
d)

MNCI
H

qua M.
H

:
H
a)
b)
c)
d)

H

’H;
K H
HK ’
K

H

Bài 11:
…………………………………………………………………………………………………
…………………………………………………………………………………………………
…………………………………………………………………………………………………
…………………………………………………………………………………………………
…………………………………………………………………………………………………

3


Đ k ểm tra khảo s t g ữa học kỳ 1 năm học 201 -2014:
Câu 1:
)
2
a) 3x . (12x4 - 7x3 + 5)
b) (x - 2y ) (x2 - 5xy + y2)
c) (5x + 2)2 - (5x + 2 )(5x - 2)
Câu 2
)
2
a) x + 6xy + 9y2
b) x2 - 2xy + y2 - 16
c) (2x - 1) ( x - 7) - 2 (1 - 2x)
Câu 3: (1 )
5(x + 3) + 2(x - 10 ) = 30
2
Câu 4:(0 )
ơ
Câu 5:(3 )
)


HFED là hình thang

ÀI TẬP RÈN LUYỆN
HẰNG ĐẲNG THỨC

1. (A + B)2 = A2 +2AB +B2
2. (A - B)2 = A2 -2AB +B2
4. (A + B)3 = A3 +3A2B +3AB2 + B3
5. (A - B)3 = A3 - 3A2B +3AB2 - B3

3. A2 - B2 = (A - B)(A + B)
6. A3 + B3 =(A + B)( A2 - AB +B2)
7. A3 - B3 =(A - B)( A2 + AB +B2)

4


1 Thực h ện phép tính
1a) 2xy2.(3x2 – 2xy -

3 2
y)
2

b) (2x + 5)2 – 2x(2x + 9)
c) (15x3y2 – 6x2y – 3x2y2) : 6x2y
d) (2x + 1)(x – 2) + x(3 – 2x)
2a)
b)

(15x2y5 + 12x3y2 – 10xy3) : (-3xy2)
(3x – 1)2 – (3x – 1)(3x + 4)

5a)

(-2x3) (x2 + 5x - )

b)
c)
d)
6a)
b)
c)
d)

(3x - 4)2 + 10x - ( x + 4)(x -4)
(x -2y )( x2 – 5xy + y2)
(5x - 1)(4x2 – 7x) -7x
(12x3y2 – 10x2y2 - 8x2y) :(-8x2y)
2x(x – 5) + x(x + 3)
(2x – 3)2 - (4x – 1)(x + 5)
(3 – 2x)(9 + 6x + 4x2) – (27 – x3)

1
4

2 Phân tích đa thức th nh nhân tử
1a) x 2  8x  16
b) x2 – 10x + 25
c) 9y2 – 30xy + 25x2

d) (x – 3)(x + 3) – (x – 3)2
5a) 4 x 2  2 x 
b)
c)
6a)
b)
c)

x2 – 4x – y2 + 4
x2 - 4 + (x-2)2
4x2– 9x – 4xy + 9y
x3 - 8y3
4x3 + 8x2y + 4xy2

7a) x2 - x +
b)
c)
8a)
b)
c)
d)

1
4

1
4

2x2 + 5x – 6xy – 15y
2x -2y – x2 + 2xy – y2

5) (x + 8)2 – x(x + 6) = 34
6) (5x - 3)(x - 4) – x(5x +2) =10
7) (4x - 1)(3 - x) – (2x + 3)(2x -1) = 0
8) 2x(8x + 3) – (4x – 1)(4x + 1) = 13
9) (x + 2)(x2 – 2x + 4) – x(x2 + 2) = 5
10) (2x – 1)(3x + 1) + (3x – 4)(3 – 2x) = 5

Bài 4:
1) Chứng m nh rằng

a)
b)
c)
d)
e)
f)
g)
h)
i)
j)

2

9x 4x2

6

ộ R
ộ R


e) n2
)
)
3
f) (2n – 1) – (2n – )
g) (n + 2)2 – (n – 2)2
h) (n + 7)2 – (n – 5)2
i) n(2n - 3) –
)

6
8
8

trị của c c b ểu thức sau

1a) 9x2 + 6xy + y2
b) x2 – 10xy + 25y2
c) x3 + 12x2
8
6
6
3
2
2
3
d) 8x – 12x y + 6xy – y
6
-8
2