How many integer solutions does the following equatios have?
(x2 - x - 1)x+2000 = 1
Find all the integer solutions (x; y) to the inequalities x2 - y < 1 , x2 + y < 4
Cộng từng vế ta có: (x2 - y) + (x2 + y) < 1 + 4
=> 2.x2 < 5 => x2 < 2,5 . vì x nguyên nên x2 = 0 hoặc 1
+) x2 = 0 =>x = 0 và -y < 1 và y < 4 => 4 > y > -1. vì y nguyên nên y = 0; 1;2; ;3
vây (x; y) = (0;0); (0;1); (0;2) ;(0;3)
+) x2 = 1 => x = 1 hoặc -1 và 1- y < 1 ; 1 + y < 4 => y > 0 và y < 3 => 0 < y < 3. vì y nguyên nên y = 1; 2;
vậy (x; y) = (1; 1); (1; 2) (-1;1); (-1; 2)
vậy...
=> x^2 - y + x^2 + y =< 5
=> 2x^2 < 5
=> x^2 <2,5
=> x = { -1;0;1} ( vì x nguyên)
(+) x = -1 => 1 - y < 1 => y > 0
1 + y < 4 => y < 3
=> 0 < y < 3 => y = 1 ;2
có hai cặp ( -1 ; 1 ) ; ( -1 ; 2 )
Tương tự
III. Choose the underlined part that needs correction in each of the following questions.
61. How many childs does your mother have?
A. many B. childs C. does D. have
62. There is many good restaurants and amusement parks in our neighborhood.
A. There is B. restaurants C. and D. in
63. He must makes his bed after he wakes up every day.
A. makes B. bed C. wakes up D. every day
64. She always give presents to her parents on Tet holiday.
A. give B. to C. her D. on
65. You must walk on grass when you see the sign “No walking”.
A. must B. on C. see D. the sign
66. Shall we having a picnic by the sea tomorrow?
A. Shall B. having C. a D. by
67. This movie is worser than that one.
A. This B. is C. worser D. one
68. Ha Long Bay is one of the much natural wonders in Viet Nam.
A. is B. of C. much D. natural wonders
69. In my opinion, city life is as exciting than country life.
A. In B. city life C. as D. exciting
70. They are healthy because they play yoga every day.
A. are B. healthy C. because D. play
61. How many childs does your mother have?
A. give B. to C. her D. on
65. You must walk on grass when you see the sign “No walking”.
A. must B. on C. see D. the sign
66. Shall we having a picnic by the sea tomorrow?
A. Shall B. having C. a D. by
67. This movie is worser than that one.
A. This B. is C. worser D. one
68. Ha Long Bay is one of the much natural wonders in Viet Nam.
A. is B. of C. much D. natural wonders
69. In my opinion, city life is as exciting than country life.
A. In B. city life C. as D. exciting
70. They are healthy because they play yoga every day.
A. are B. healthy C. because D. play
III. Choose the underlined part that needs correction in each of the following questions.
A. give => gives B. to C. her D. on
65. You must walk on grass when you see the sign “No walking”.
A. must=> must not B. on C. see D. the sign
66. Shall we having a picnic by the sea tomorrow?
A. Shall B. having=> have C. a D. by
67. This movie is worser than that one.
A. This B. is C. worser=> worse D. one
68. Ha Long Bay is one of the much natural wonders in Viet Nam.
A. is B. of C. much=> best D. natural wonders
69. In my opinion, city life is as exciting than country life.
A. In B. city life C. as=> more D. exciting
70. They are healthy because they play yoga every day.
A. are B. healthy C. because D. play => do
1 how many rooms does your house have?
2 how many pens do you have ?
3 how many brothers do you have ?
4 how many floors does your school have ?
5 what time does your brother go to school ?
6 what time do you get up ?
7 what time does your sister wash her face ?
8 what time do you brush your teeth ?
9 what do you do at 6.45 ?
10 what does your father do at 6.30 ?
There are 4 rooms in my house
I have 10 pens
I have 2 brothers
My school has 3 floors
He goes to school at 7a.m
I get up at 6a.m
She washes her face at 8a.m
I brush my teeth at 10p.m
I have breakfast at 6.45
He does morning exercise at 6.30
VII. Each of the following sentence has a mistake. Tìm 1 lỗi sai và sửa lại cho đúng
1. How many homework does she have every day?
_____________________________________________________________________
2. There is an university and a big stadium in our city.
_____________________________________________________________________
3. You mustn’t eating food in the classroom.
_____________________________________________________________________
4. Tuan and I am playing badminton the yard.
_____________________________________________________________________
5. Do your brother play sports every afternoon?
_____________________________________________________________________
6. My sister never go swimming.
_____________________________________________________________________
1 many => much
2 an => a
3 eating => eat
4 am => are
5 do => does
5 go = >goes
many -> much
an -> a
eating -> eat
am -> are
do -> does
go -> goes
Đảm bảo đúng nha bạn
Tìm lỗi sai
1 How many chocolate is there?
2 How much oranges are there?
3 How many pencil are there on the desk?
4 How much water are there in the glass?
5 How many chairs does you have?
6 How much bread does Mary has
7 How sisters many have you got?
8 How many boys there are in your class?
9 How much meat there is in the fridge
1.many to much
2.much to many
3.pencil to pencils
4.are to is
5.does to do
6.has to have
7.sister many to many sister
8.there are to are there
9.there is to is there
tick nha
1 many => much
2 much => many
3 pencil => pencils
4 are => is
5 does => do
6 has => have
7 sisters many => many sisters
8 there are => are there
9 there is => is there
I. Rewrite the following sentences in such way that they mean exactly the same as the sentences given (5pts)
1. How many classes are there in your school?
How many classes does …………………………………………………………………………………?
2. She has many lots of friends because she is so friendly. (SO)
………………………………………………………………………………………………………….
3. James smokes. His brother doesn’t smokes. (but)
………………………………………………………………………………………………………….
Make questions for the underlined part:
4. My family usually goes to Da Lat on summer vacation.
………………………………………………………………………………………………………….
5. Her children often go to the club by bike.
………………………………………………………………………………………………………….
1. How many classes does your school ?
2. Linda has many lots of friends because she friendly .
3. James smokes but his brother doesn't
SECTION 5: writing.
IX. Rewrite each of the following sentences in such a way that it means the same as the first one. (2.0 points)
1. How many teachers are there in your school?
=> How many teachers does ................................................................................................................
2. The photocopy store is to the left of the movie theater.
=> The movie theater is…….………………………………………….………………..……….……
3. Ho Chi Minh City is bigger than Ha Noi.
=> Ha Noi ………………….………..…………………………………..……………..………….….
4. Dung is Mrs. Hoa’s granddaughter.
=> Mrs. Hoa……………………..………………………………………………………..……….…..
5. Why don’t we go to the movies tonight?
=> What ................................................................................................................................................
6. What is the price of this dictionary?
=> How.................................................................................................................................................
7. What’s your favorite drink?
=> What drink…………………………………………………………………………...……………
8. Nobody in my class is taller than Hieu.
=> Hieu…………………………………………………………………………….…………....…….
9. Dr. Kim drives his car to work every morning.
=> Dr. Kim goes....................................................................................................................................
10. The subject Nam likes most at school is English.
=> Nam’s ……………………………………………………………………………………………...
11. In spite of taking a taxi, he arrived late for the meeting.
- Although _________________________________ .
12. It is such a heavy box that I can't carry it.
- The box is ___________________________________ .
1. How many teachers are there in your school?
=> How many teachers does ......................................your school have?..........................................................................
2. The photocopy store is to the left of the movie theater.
=> The movie theater is…….………………is to the right of the photocopy store………………………….………………..……….……
3. Ho Chi Minh City is bigger than Ha Noi.
=> Ha Noi ………………….……is not as big as HCMC…..…………………………………..……………..………….….
4. Dung is Mrs. Hoa’s granddaughter.
=> Mrs. Hoa……………………is Dung's grandmother ..………………………………………………………..……….…..
5. Why don’t we go to the movies tonight?
=> What ...................................about going to the movies tonight?.............................................................................................................
6. What is the price of this dictionary?
=> How............................does this dictionary cost?.....................................................................................................................
7. What’s your favorite drink?
=> What drink………………do you like most?…………………………………………………………...……………
8. Nobody in my class is taller than Hieu.
=> Hieu……………is the tallest in my class……………………………………………………………….…………....…….
9. Dr. Kim drives his car to work every morning.
=> Dr. Kim goes.............................to work by car every morning.......................................................................................................
10. The subject Nam likes most at school is English.
=> Nam’s …………………………favorite subject is English…………………………………………………………………...
11. In spite of taking a taxi, he arrived late for the meeting.
- Although ________he took a taxi, he arrived late for the meeting_________________________ .
12. It is such a heavy box that I can't carry it.
- The box is ______so heavy that I can't carry it_____________________________ .
1.If 2x-y=5 then the value of M=\(\left(x+2y-3\right)^2-\left(6x+2y\right)\left(x+2y-3\right)+9x^2+6xy\)
\(+y^2\)
2.The free coefficient in the following poly nomaial: \(\left(2x-2\right)\left(x+1\right)\left(7-x^2\right)is:\)
3.The greatest integer number x such that \(\frac{2x-1}{x-3}-1< 0\) is:
4.How many of the integer n such that satisfy the inequality \(\left(n-3\right)^2-\left(n-4\right)\left(n+4\right)< =43\) are less than 3?
5.The opposite fraction of \(\frac{x-2}{7-x}\) is:
Bài 1 Rewrite each of the following sentences, beginning with the words given
1. Does your class have twenty-five students?
Are there..........................................?
2. How much does a bowl of noodles cost?
How much is....................................?
3. The work is very hard and he can’t do it.
This work is too................................
4. Mr. Minh has a daughter, Lan .
Mr. Minh is .......................................
5. What is the width of this river?
How............................................... ..?
6. My mother often drives to work.
My mother often goes ....................
7. What is the price of a cake and an orange?
How............................................... ..?
8. That book belongs to Nam.
That is........................................
Bài 2 Sắp xếp theo thứ tự đúng
cold/ they/ when/ often/ volleyball/ it/ play/ is/ do?
Hộ mk vs ah , mk cảm ơn