2. If x=- 1 is the solution of equation 2x-3a=7, then a = _ _ _ _ _

3. When x=______, the sum of algebraic expression x- 1 is opposite to each other.

4. It is known that the sum of x and 3 times of x is 6 less than 2 times of x, and the equation is _ _ _ _ _.

5. In the equation 4x+3y= 1, if y is expressed by the algebraic expression of x, then Y = _ _ _ _ _ _

6. When a commodity is sold at a 60% discount on the basis of the marked price in 300 yuan, the profit rate is 5%, and the marked price of the commodity is _ _ _ _ _ _ _.

7. Given that the sum of three consecutive even numbers is 60, these three numbers are _ _ _ _ _ _.

8. For a job, it takes 6 days for Party A to do it alone, 12 days for Party B to do it alone, and _ _ _ _ _ _ _ days for both parties to do it together.

Second, multiple choice questions. (3 points for each small question, * * * 30 points)

9. Equations 2m+x= 1 and 3x- 1=2x+ 1 have the same solution, then the value of m is ().

A.0 B. 1 C.-2 D

10. The solution of equation 3x =18 is ().

A. One solution is 6 b, and there are two solutions, both of which are 6.

C. No solution D. There are countless solutions

1 1. If the equation 2ax-3=5x+b has no solution, then a and b should satisfy ().

A.a，b≠3 B.a=，b=-3

C.a，b=-3 D.a=，b ≦- 3

12. The equation after converting the denominator of the equation into an integer is ().

13.800 meters on the runway, two people are practicing long-distance running. A runs 300 meters per minute, and B runs 260 meters per minute. They set out in the same place, at the same time and in the same direction, and met for the first time after t minutes, and t equals ().

A. 10 points B. 15 points C.20 points D.30 points.

14. A shopping mall found that the sales in the first quarter of this year increased by 10% in February and decreased by 10% in March, so the sales in March were higher than 1 month ().

A. increase10% B. decrease10% C. neither increase nor decrease D. decrease 1%.

15. in the trapezoid area formula S= (a+b)h, it is known that H = 6cm, A = 3cm and S = 24cm2, then B = () cm.

A. 1

16. It is known that there are 28 people in group A and 20 people in group B. Among the following deployment methods, the one that can make one group less than half of the other group is ().

A. transfer 12 people from group a to group b, and transfer 4 people from group b to group a.

C. transfer 12 people from group b to group a.

D transfer 12 people from group a to group b, or transfer 4 people from group b to group a.

17. The rules of football match are: win a game with 3 points, draw a game with 1 point, lose a game with 0 points, a team played 14 games and lost 5 games, and * * * got 19 points, so the team won () games.

a3 b . 4 c . 5d . 6

18. As shown in the figure, how many weights can be removed from the left plate in Figure A to keep the balance? ( )

A.3 B.4 C.5 D.6

Third, answer the question. (19, 20 questions 6 points, 2 1, 22 questions 7 points, 23 and 24 questions 10 points, ***46 points)

19. Solve the equation: -9.5.

20. Solve the equation: (x-1)-(3x+2) =-(x-1).

2 1. As shown in the figure, many information cards are neatly pasted on a display board. These cards are the same size, with three square spaces between them, which are marked with diagonal lines in the figure. It is known that the short side length of the card is10cm. If you want to fill in the blanks with three pictures, what size pictures should you match?

22. For three digits, the number on the hundredth digit is 1, and the number on the tenth digit is three times less than that on the tenth digit. 2. If the order of three digits is reversed, the sum of the obtained three digits and the original three digits is 1 17 1, so find these three digits.

It is understood that the train fare is determined by the method of "". It is known that the total mileage from Station A to Station H is1500km, and the reference price for the whole journey is 180 yuan. The following table shows the mileage from stations along the way to H station:

name of a station

From each station to H station

Mileage (m)15001130910 622 402 219 720

For example, to determine the train fare from Mile Mile to E station, the fare =87.36≈87 yuan.

(1) Find the train fare from station A to station F (the result is accurate to 1 yuan).

(2) Passenger Aunt Wang goes to her daughter's house by train. After getting on the train for two stops, she took the ticket and asked the flight attendant, "am I near the station?" When the flight attendant saw that Aunt Wang's ticket price was 66 yuan, she immediately said that the next stop was here. At which station does Aunt Wang get off?

24. The admission price of a park is as follows:

The number of ticket buyers is1~ 50,51~ 100, which exceeds100.

Fares 5 yuan 4.5 yuan 4 yuan

Class A and Class B 103 people from a school (among which Class A is more than Class B) came to visit the park. If the two classes buy tickets separately, they have to pay 486 yuan.

(1) How much can I save if two classes buy tickets together?

(2) How many students are there in each class? (Hint: This question should be discussed in different situations.)

Answer:

I. 1.3

2.-3 (fine-tuning: substitute x=- 1 into equation 2x-3a=7, and get -2-3a=7, and get a=-3).

3. (cuddle: solve the equation x- 1=- to get x=)

4.x+3x=2x-6 5.y= - x

6.525 (hint: if the set price is X yuan, it will be 5%, and X will be 525 yuan).

7. 18,20,22

8.4[ Note: If it takes X days to complete, then x(+)= 1, and the solution is x=4]

Two. 9.d

10.b (hug: classified discussion:

When x≥0, 3x= 18, ∴x=6.

When x

Therefore, this question should choose b)

1 1.d (hint: from 2ax-3=5x+b, get (2a-5)x=b+3. To make the equation unsolvable, we must make 2a-5=0, a=, b+3≠0, b ≠-.

12.b (inching; In the process of deformation, the numerator and denominator of the fraction are simultaneously expanded or reduced by the same multiple by using the properties of the fraction, and the decimal equation is transformed into an integer equation.

13.c (hint: when A and B meet again, A runs 800 meters more than B. The equation is 260t+800=300t, and the solution is t=20).

14.D

15.B (inching: according to the formula S= (a+b)h, b =-3 = 5cm)

16.D 17。 C

18.a (nudge: Attribute 2 according to equation)

Three. 19. solution: the original equation is transformed into

200(2-3 years) -4.5= -9.5

∴400-600y-4.5= 1- 100y-9.5

500y=404

∴y=

20. solution: remove the denominator and get.

15(x- 1)-8(3x+2)= 2-30(x- 1)

∴2 1x=63

∴x=3

2 1. solution: let the length of the card be x cm. According to the meaning of the picture and the meaning of the question, you can get

5x=3(x+ 10), and the solution is x= 15.

Therefore, the side length of a square picture should be 15- 10=5 (cm).

Answer: You need a square picture with a side length of 5 cm.

22. Solution: Let the number in the tenth place be X, then the number in the single digit is 3x-2, and the number in the hundredth place is x+ 1, so

100(x+ 1)+ 10x+(3x-2)+ 100(3x-2)+ 10x+(x+ 1)= 1 17 1

The solution is x=3.

A: The original three-digit number was 437.

23. Solution: (1) can be obtained from known =0. 12.

The actual mileage from Station A to Station H is1500-219 =1281(km).

So the train fare from Station A to Station F is 0.12×1281=153.72 ≈154 (yuan).

(2) Assuming that Aunt Wang's actual mileage is X kilometers, according to the meaning of the question, it is =66.

X=550。 According to the table, the distance from Station D to Station G is 550 kilometers, so Aunt Wang gets off at Station D or Station G. 。

24. Solution: (1) ∵103 > 100

∴ The total fare for each ticket in 4 yuan is 103×4=4 12 (RMB).

Can save 486-4 12=74 yuan.

(2) ∵ Class A and Class B *** 103, and the number of students in Class A is greater than that in Class B.

There are more than 50 people in Class A, but there are two situations in Class B:

① If there are less than 50 people in Class B and X people in Class B, then there are (103-x) people in Class A..

5x+4.5( 103-x)=486

X=45, ∴ 103-45=58 (person)

There are 58 students in Class A and 45 students in Class B. 。

② If there are more than 50 people in Class B and X people in Class B, then there are (103-x) people in Class A..

According to the meaning of the question, you must

4.5x+4.5( 103-x)=486

This equation does not hold, and this situation does not exist.

Therefore, there are 58 students in Class A and 45 students in Class B. 。