2.( 1- 1/2)( 1- 1/3)( 1- 1/4)......( 1- 1/ 100)

3.8+2-8+2

4.25*4/25*4

5.7.26-(5.26- 1.5)

6.286+ 198

7.3 14-202

8.526+30 1

9.223-99

10.6.25+3.85-2. 125+3.875

1 1.9-2456*2 1

12.0.5/ 1 1.5-4*2.75

13. 1/2×3/5

14.3.375+5.75+2.25+6.625

15. 100 1-9036÷ 18

16.3.8×5.25+ 14.5

17.2. 1*4.3+5.7*2. 1

18.30× 1/3

19. 102*45-328

20.2/3× 12

2 1.2.8*3. 1+ 17.6/8

22.3/5×5/6

23.(50- 12.5)/2.5

24.2/5× 1/3

25.6 1 10*47+639

26. 1/2- 1/6

27.3.5*2.7-52.2/ 18

28. 1/7× 1/5

29.3.375*0.97+0.97*6.625

30.25×4/5

3 1.6.54+2.4+3.46+0.6

32.5/6- 1/2

33.95.6* 1.8+95.6*8.2

34. 1/2× 1/5

35.600-420/ 12

36.344/3.6-5.4*0.25

37. 16/2+30/2+90/6

38.300 1- 1998.

39.5000- 105*34

40.0. 15/0.25+0.75* 1.2

4 1.( 1/2+ 1/3+ 1/4)*0.24

42.(25+4)*4

43.300-4263/2 1

44.0.8 1/0.25+5.96

45.403÷ 13×27

46. 1.5×4.2-0.75÷0.25

47.3.27×4 +3.27×5.7

48.( 1.2+ 1.8)×4.5 1025-768÷32

49.0.25×80-0.45÷0.9

50. 1025-768÷32

5 1.0.25*2.69*4

52.2348+275* 16

53.2/9* 15/8- 1/ 12*9/5

54.2.4+2.4*(5.375-3.375)

55.645-45* 12

56.0. 15+ 1.2/0.24-0.45

57.3.75-(2.35+0.25/ 1.25)

58.76* 1/4+23*25/ 100+0.25

59. 10-2.87-7. 13

60.0.96+9.6*9.9

6 1.7.5-5.7* 1/3

62. 12.37-3.25-6.75

63. 16*6.8+2.2* 16+ 16

64.40 1* 19+284

65.58.7- 16.65/3.7

66.0.4*4.7*2.5+(2.3+5.3)

67.9.3 1- 1. 125-7.875

68.640+ 128*45

69.8.2* 1.6-0.336/4.2

70.400*(0.62+0.08) 1. If the polynomial MX 3-2x 2+3x-4x 3+5x 2-NX about x does not contain cubic terms and linear terms, then M+N=?

2. Given that A-B=-6, what is 3-(B-A)=? 8-6A+6B= how much?

3. If a polynomial M subtracts -3X+5 to get 5x 2-3x- 1, what is M equal to?

4. It is known that A = x 3-2x 2+ 1 and B = 3x 2-4x-3/2. Found (1) 3a+2b; (2)-2A-B

It is known that a is a polynomial. When calculating A- (2x 2+5x-3), some students wrote "A-" as "A+", and the calculated result was -x 2+3x-7. What was the original formula? What is the correct result?

There is a seat in the first row of the cinema, and there is no row with one more seat in the back than the front row. How many seats are there in row n of the cinema?

Answer:

1 First of all, know what a cubic term is and what a linear term is. MX^3 and -4x 3 are cubic terms, and NX and 3X are linear terms. According to the requirements of the topic, if cubic term and linear term are not included, then M-4=0, M=4, 3-n = 0 and n = 3, then M+N=7.

2. The idea of (1) is to change the operation sign. 3-(B-A) is sorted into 3-(-A+B), then sorted into 3+A-B, and substituted into known A-B=-6, so 3-(B-A)=-3.

(2) For the same reason as above, 8-6A+6B is sorted to get 8-6(A-B), which is substituted into known A-B=-6, so 8-6A+6B=44.

3. The idea of (1) is reverse thinking. Since a polynomial m subtracts -3X+5 to get 5x 2-3x- 1, 5x 2-3x- 1+(-3x+5) = m, so m = 5x 2-.

This problem can only be solved by hard calculation. Remember to mark similar items in the same way in the calculation process, which can be convenient for operation.

( 1)3A+2B=3X^3-8X

(2)-2A-B =-2X^3+X^2+4X- 1/2

5. The idea of this problem is to find one, a+(2x 2+5x-3) =-x 2+3x-7, a =-3x 2-2x-4, and then substitute A into A-(2x 2+5x-3) to get -5x 2-7x-657.

6. According to the meaning of the question, the following table should be listed:

1:A

2:A+ 1

3:A+2

N:A+N- 1

The result is A+N- 1 1. The number of machine parts produced by three workers in a factory is: the ratio of A to B is 3: 4, and the ratio of B to C is 5: 6. If the number of pieces produced by B is less than the sum of A and C, how many pieces does each worker produce every day?

2. It is known that there are 44 students in Grade One (1) and Grade One (2), and students in each class participate in extracurricular astronomy groups. The number of people in class 1 is exactly 1/3, and the number of people in class 2 is (65438+).

3. A customs has three departments, 84 in department A, 56 in department B and 60 in department C ... If each department cuts at the same speed.

Personnel, there are 150 people left at this level. How many people do you want to keep in department C?

4. There are 60 workers in a workshop, producing a certain supporting product, which consists of a bolt and two nuts. Each worker produces 14 bolts or 20 nuts on average every day. How many workers should be assigned to produce bolts and how many workers should be assigned to produce nuts, so that the produced bolts and nuts can just match?

One-dimensional linear equation application test questions (volume B)

I. Fill in the blanks (3 points for each small question, *** 18 points)

1.a and b run on a 400-meter-long circular track. It is known that A runs 9 meters per second and B runs 7 meters per second.

(1) Two people walk with their backs to the same place at the same time, and meet for the first time after _ _ _ _ _ _ _ seconds;

(2) Two people walk in the same direction at the same time and meet for the first time after _ _ _ _ _ _ _ seconds.

2. In order to improve the ecological environment and avoid soil erosion, a village actively planted trees. Originally, 60 trees were planted every day, but actually 80 trees were planted every day. As a result, the task of planting trees was completed four days in advance, so we planned to plant _ _ _ _ _ _ _ _.

3. A rope is used to form a square, and this rope is used to form a circle. It is known that the radius of a circle is 2 (π-2) meters smaller than the side length of a square. Can you tell me the length of this rope is _ _ _ _ _ _ _ meters?

4. A flower buys a 5 yuan branch. If it is sold at 20% of the listed price, 3 yuan can still make a profit. Ask about the price tag of each branch. If the listing price is X yuan each, the equation can be listed as _ _ _ _ _ _ _ _ _ _ _ _.

5. If the ten digits on a two-digit number are half of the single digits and the sum of the digits on the two-digit number is 9, then the two-digit number is _ _ _ _ _ _ _.

6. The current price of a drug is 56. 10 yuan, which is 15% lower than the original price, and the original price is _ _ _ _ _ _.

Second, multiple-choice questions (3 points for each small question, ***24 points)

7. It must be wrong for Li Bin to circle three adjacent numbers in a column of the calendar and calculate their sum.

a.20 b.33 c.45 d.54

8. A family of three will join a tour group. A travel agency told me that "adults buy full tickets and children are half price", and B travel agency told me that "family travel can be priced by group, that is, 20% off the full ticket per person". If the original prices of the two travel agencies are the same, then

A.a is more advantageous than B.

The discounts of C.A. and B. D. Which one is more favorable depends on the original price.

9. When the upwind speed of the aircraft is X km/h and the wind speed is Y km/h, the downwind speed of the aircraft is

A.(x+y) km/h

C.(x+2y) km/h (2x+y) km/h

10. One-meter-long teams advance at a speed of 60 meters per minute. It takes 1 minute for a classmate at the end of the line to walk from the end to the head of the line. The distance this classmate walks is

A.A meter B. (A+60) meter c.60a meter D.M.

1 1.a project is completed by itself 10 days, and B's work efficiency is twice that of A. Two people worked together for m days, but the remaining workload was completed by B. How many days will it take?

a. 1-( + )m b.5- m

None of the above is true.

12. A mountain road, someone walks from the mountain to the top of the mountain for 3 hours, and there is still 1 km to the top of the mountain. If it takes only 150 minutes to walk from the top of the mountain, it is known that the downhill speed is 1.5 times of the uphill speed. Let the uphill speed be x km/min, then the equation listed is

a . x- 1 = 5( 1.5x)b . 3x+ 1 = 50( 1.5x)

c . 3x- 1 =( 1.5x)d . 180 x+ 1 = 150( 1.5x)

13. The price of a commodity is one yuan. After the price is reduced by 10%, the price is reduced by 10%, and the sales volume increases sharply. The store decided to raise the price by 20% again. After the price increase, the price of this product is as follows:

A.a yuan b. 1.08a yuan c.0.972a yuan d.0.96a yuan.

14. According to the individual income tax regulations, citizens whose monthly salary does not exceed that of 800 yuan need not pay taxes, and those who exceed that of 800 yuan need to pay taxes by installments. The specific tax rates are as follows. If someone pays taxes in 80 yuan in 12, his monthly salary is.

Monthly Taxable Amount Tax Rate (%)

No more than 500 yuan.

Full 500 yuan to 2000 yuan 10.

More than 2000 yuan to 5000 yuan 15

…… ……

A 1900 yuan B 1200 yuan C 1600 yuan D 1050 Yuan.

Three. Short answer questions (***58 points)

15.( 13) Circle a plane figure with 40 cm long iron wire. (1) If a square is closed, its side length is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

(2) If a rectangle with a length of 12 cm is enclosed, its width is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

(3) If it is enclosed by a rectangle 5 cm wide, its length is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

(4) If a circle is enclosed, the radius of the circle is _ _ _ _ _ _ _ and the area is _ _ _ _ (π takes 3. 14, and one decimal place is reserved).

(5) Guess: ① If the perimeter is constant, if the surrounding figure is rectangular, the area of the rectangle will become more and more _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ② When the perimeter is constant, the area of the closed plane figure is the largest.

16.(9 points) In the volleyball match of middle school students in a city, according to the score of 2 points for winning a game, 0 points for drawing a game and 0 points for losing a game, the No.4 volleyball team in the city participated in 8 games and remained unbeaten. * * * 13. How many games did it win?

17.(9 points) Xiao Zhao and Xiao Wang had an exchange activity during the summer vacation. Xiao Zhao said, "I went to a week-long technology summer camp. The sum of the dates of these seven days is 84. Do you know what date I went out? " Xiao Wang said: "I went to my uncle's house for seven days during the holiday, and the date and number of months were also 84." Guess what date I went home? " Try and list the equations to solve the problem between Xiao Zhao and Xiao Wang.

18.(9 points) Collect a batch of saplings in each class, as follows: 100 saplings and surplus in the first class, 200 saplings and surplus in the second class, 300 saplings and surplus in the third class ... Finally, collect all saplings, and the number of saplings in each class is equal. Find the total number of saplings and classes.

19.(9 points) Li Hong bought a notebook for the whole class as a prize at the party. When he came back, he handed the account to Liu Lei, a member of the Life Committee, and said, "* * * bought 36 copies of two specifications, and the unit price was 1.80 yuan and 2.60 yuan respectively. I took 100 when I went, and now I get 27.60 back. " Liu Lei counted. Think about whether it is possible to get 27.60 yuan back, and try to explain it with the knowledge of the equation.

20.(9 points) The extracurricular table tennis team in Class Four, Grade One bought two pairs of table tennis boards. If everyone pays 9 yuan, it will cost 5 yuan more. If everyone pays 8 yuan, there will be 2 yuan less. Please ask questions according to the above situation and solve the equations in parallel.

Reference answer

I. 1. ( 1)25 2 200 2.960 3.8π4.80% x = 5+3 10 5.36 6.66

2. 7.A8.B9.c10.b1.b12.d13.c14.c.

Three. 15. (1)1000 (2) 8 964 (3)157510 (4) 6.4128.6 (5) Great Circle.

4. 16. Assuming that X field is won, the equation can be listed: 2x+(8-x) = 13, and the solution is x=5.

17. Xiao Zhao went out on the 9th, and Xiao Wang went home on July 15 (hint: if the number of days in the middle of seven days is X, the other six days are X-3, X-2, X- 1, x+ 1, x+2, X. So the number of months is also a multiple of 7, which means the number of months is 7. I stayed at my uncle's house from the 8th to14th, so I went home on15th.

18. 9 classes of saplings ***8 100. (Hint: There are many ways to establish the element equation in this question. The total number of saplings can be set as x, and the equation can be set by the equal number of saplings of the first and second types:

100+(x-100) = 200+[x-200-100-(x-100)], x classes can be set, so the last class is1.

100(x- 1)+x = 100 x If you notice that 100 (x-1) trees in the penultimate class are less than100x trees/kloc-0.

19. Buy 24 notebooks at a unit price of 1.80 yuan and 2 notebooks at a unit price of 2.60 yuan 12. If we use the original price of Li Hong, we buy X notebooks at the unit price of 1.80 yuan, and we can get the following equation: 1.8x+2.6 (36-.

The solution of x = 2.60 does not conform to the meaning of the actual problem, so it is impossible to get back 27.60 yuan.

20.