1.................. is the most expensive city in the word ? - I think it's Tokyo A What B Where C When D How

2 ................is your favourite tennis player ? - I don't like tennis A Where B Who C How often D How

3 My brother can't swim ......................he's afraid.......................water A because B and C but D so

4 my sister likes going to the cinema ...................I like watching TV at home A and B but C because D or

5 .................pen is this ? Can I borrow it? A whose B Whom C who D Which

6 .................are you going to invite to your party next week ? A what B Who C Whose D Where

7 .................đi you spend in Hanoi? - One week A how many B How much C how long D How

8 ..........................is a person who reads a report in the program A weatherman B a comedian C a newsreader D a guest

9 We use a ........................to change the channels frrom a distance A remote control B Tv schedule C newsreader D volume

10 I want to watch the cartoon............................I turn on the TV A but B so C although D because

11 Jerry is a clever little mouse A small B special C intelligent

12 Let's learn teaches children to study Maths . It's an .......................program A live B popular C entertaining D educational

13 ......................Mai and Lan are interested in listen to music A because B both C neither D so

14 The book is ........................the adventure of three close friends A on B from C at D about

15 They invite special ..................................to appear in the show A character B guests C foxes D audiences

16 Milions of children ...............................the word enjoys the show A all B in C around D over

17 The game show this week will test you general . .................................about Amazon jungle A schedule B knowledge C fact D adventure

18 the program can both ...........................and entertain young audiences A educated B education C educational D educate

19 The ............... ,,,i like best is Xuan Bac A comedy B comedian C fun D funny

20 Where are the children? They........................in the yard A play B are playing C is playing D plays

a, Vì : \(n+2⋮n-1\) mà \(n-1⋮n-1\)

\(\Rightarrow\left(n+2\right)-\left(n-1\right)⋮n-1\)

\(\Rightarrow n+2-n+1⋮n-1\Rightarrow3⋮n-1\)

\(\Rightarrow n-1\in\left\{\pm1;\pm3\right\}\)

+) Nếu : n - 1 = 1 => n = 1 + 1 => n = 2

+) Nếu : n - 1 = -1 => n = -1 + 1 => n = 0

+) Nếu : n - 1 = 3 => n = 3 + 1 => n = 4

+) Nếu : n - 1 = -3 => n = -3 + 1 => n = -2

Vậy \(n\in\left\{2;0;4;-2\right\}\)

b, Vì : \(3n-5⋮n-2\) (1)

Mà : \(n-2⋮n-2\Rightarrow3\left(n-2\right)⋮n-2\Rightarrow3n-6⋮n-2\) (2)

Từ (1) và (2) \(\Rightarrow\left(3n-5\right)-\left(3n-6\right)⋮n-2\)

\(\Rightarrow3n-5-3n+6⋮n-2\Rightarrow1⋮n-2\)

\(\Rightarrow n-2\in\left\{1;-1\right\}\Rightarrow n\in\left\{1;3\right\}\)

Vậy \(n\in\left\{1;3\right\}\)

a, \(x.y+y+x+1=5\Leftrightarrow x\left(y+1\right)+x+1=5\)

\(\Leftrightarrow x\left(y+1\right)+x=4\Leftrightarrow x\left(y+2\right)=4\)

\(\Rightarrow x;y+2\inƯ\left(4\right)\Rightarrow x;y+2\in\left\{\pm1;\pm2;\pm4\right\}\)

Vậy các cặp số nguyên (x;y) thỏa mãn là (1;2);(2;0);(4;-1);(-1;-6);(-2;-4);(-4;-3)

b, \(x.y-y+x-1=7\Leftrightarrow x\left(y-1\right)+x-1=7\)

\(\Leftrightarrow x\left(y-1\right)+x=8\Leftrightarrow x.y=8\)

\(\Rightarrow x;y\inƯ\left(8\right)\Rightarrow x;y\in\left\{\pm1;\pm2;\pm4;\pm8\right\}\)

Vậy ...

a, - Vì \(x\in Z\Rightarrow x-3\in Z\)

- Vì \(y\in Z\Rightarrow2y+5\in Z\)

\(\Rightarrow x-3;2y+5\inƯ\left(34\right)\)

\(\Rightarrow x-3;2y+5\in\left\{\pm1;\pm2;\pm17;\pm34\right\}\)

Ta có bảng sau :

Vậy các cặp số nguyên (x;y) thỏa mãn là : (5;6);(1;-11);(37;-2);(-31;-3)

b, \(xy+3y=6\Leftrightarrow y\left(x+3\right)=6\)

\(\Rightarrow y;x+3\inƯ\left(6\right)\Rightarrow y;x+3\in\left\{\pm1;\pm2;\pm3;\pm6\right\}\)

Ta có bảng sau :

Vậy các cặp số nguyên (x;y) thỏa mãn là : (1;3);(2;0);(3;-1);(6;-2);(-1;-9);(-2;-6);(-3;-5);(-6;-4)

a, \(A=1-2+3-4+5-6+...+97-98+99-100\)

\(\Rightarrow A=\left(1-2\right)+\left(3-4\right)+...+\left(97-98\right)+\left(99-100\right)\) (50 nhóm )

\(\Rightarrow A=-1+\left(-1\right)+...+\left(-1\right)\Rightarrow A=-1.50=-50\)

Vậy A = -50

b, \(B=1-4+7-10+...+97-100+103\)

\(\Rightarrow B=\left(1-4\right)+\left(7-10\right)+...+\left(97-100\right)+103\) (17 nhóm dư 1 )

\(\Rightarrow B=-3+\left(-3\right)+...+\left(-3\right)+103\)

\(\Rightarrow B=-3.17+103=-51+103=52\)

Vậy B = 52

a, Vì : \(\left(x-1\right)\left(x+3\right)=0\)

\(\Rightarrow\left[\begin{matrix}x-1=0\\x+3=0\end{matrix}\right.\) \(\Leftrightarrow\left[\begin{matrix}x=0+1=1\\x=0-3=-3\end{matrix}\right.\)

Vậy x = 1 hoặc x = -3

b, \(x\left(x+2\right)-3x-6=0\Leftrightarrow x\left(x+2\right)-3x=6\)

\(\Leftrightarrow x\left(x+2-3\right)=6\Leftrightarrow x\left(x-1\right)=6\)

\(\Rightarrow x;x-1\in\left\{\pm1;\pm2;\pm3;\pm6\right\}\)

Mà : x và x - 1 là hai số tự nhiên liên tiếp \(\Rightarrow x=3\in Z\)

a, \(2\cdot2^2\cdot2^3\cdot2^4\cdot...\cdot2^x=1024\)

\(\Leftrightarrow2^{1+2+3+4+...+x}=2^{10}\Leftrightarrow1+2+3+4+...+x=10\)

\(\Rightarrow\left(x+1\right)x\div2=10\Rightarrow\left(x+1\right)x=20\)

Vì : ( x + 1 ) x là hai số tự nhiên liên tiếp \(\Rightarrow x=4\in Z\)

Vậy x = 4

b, \(9.27< 3^x< 243\Leftrightarrow3^5< 3^x< 3^5\)

\(\Rightarrow5< x< 5\Rightarrow x\in\varnothing\)

Vậy \(x\in\varnothing\)

a, \(\left(1+3x\right)^3=64\Leftrightarrow\left(1+3x\right)^3=4^3\)

\(\Leftrightarrow1+3x=4\Leftrightarrow3x=3\Rightarrow x=1\in Z\)

Vậy x = 1

b, \(\left(11-4x\right)^3=343\Leftrightarrow\left(11-4x\right)^3=7^3\)

\(\Leftrightarrow11-4x=7\Rightarrow4x=11-7\Rightarrow4x=4\Rightarrow x=1\in Z\)

Vậy x = 1

1. Phuc is a stylist.

=> What does Phuc do ?

2. Mai works at the famous company

=> Where does Mai work ?

3. This is Long 's Car

=> What is this ?

4. The House is near to the Drugstore

=> What is near the Drugstore ?

a, Vì : \(4n⋮n\Rightarrow5⋮n\Rightarrow n\in\left\{\pm1;\pm5\right\}\)

Vậy \(n\in\left\{\pm1;\pm5\right\}\)

b, Vì : \(3n+2⋮2n-1\Rightarrow2\left(3n+2\right)⋮2n-1\Rightarrow6n+4⋮2n-1\) (1)

Mà : \(2n-1⋮2n-1\Rightarrow3\left(2n-1\right)⋮2n-1\Rightarrow6n-3⋮2n-1\) (2)

Từ (1) và (2) \(\Rightarrow\left(6n+4\right)-\left(6n-3\right)⋮2n-1\)

\(\Rightarrow6n+4-6n+3⋮2n-1\Rightarrow7⋮2n-1\)

\(\Rightarrow2n-1\in\left\{\pm1;\pm7\right\}\)

Ta có bảng sau :

Vậy \(n\in\left\{0;1;4;-3\right\}\)