1.x+3/(x-2) 2 = a/x-2+b/(x-2) 2 Find the values of a and b.
2. If X is the smallest integer with the fraction X-2/X 2+3 greater than 0 and Y is the largest integer with the fraction 1-Y/-Y 2-2 less than 0, find the value of X+y..
(3) 1/(x+ 1)+3/(2-x)= 0
(4) (x squared -4x)/(x squared-1)+1= 2x/(x+1)
Application questions:
Two commodities with the same weight 1 are worth 900 yuan and 1500 yuan respectively. It is known that the value per kilogram of the first kind of goods is less than that of the second kind of goods, and the value per kilogram of these two kinds of goods is calculated separately.
2. The bus takes 480 kilometers of expressway from A to B and 600 kilometers of ordinary highway from B to A. It is also known that the average speed on the expressway is 45Km kilometers faster than that on the ordinary highway, and the time from the expressway to the second place is half that of the ordinary highway to the second place. Find the time required for the bus to travel from the expressway to the second place.
3. the distance from a to b is 15km. A rides a bike from a to b first. After 40 minutes, B rides from A and arrives at the same time. Given that the speed of B is three times that of A, find the speed of two cars.
4. A tractor A plowed half of a piece of land in 4 days, and a tractor B plowed the other half in 1 day. B How many days does it take a tractor to plow the field alone?
5. The time required for A to manufacture 90 parts is the same as that required for B to manufacture 120 parts. It is known that A and B manufacture 35 machine parts per hour. Find out how many parts A and B produce per hour.
6. 25 yuan, a company, the money is 20% of the total of both parties. B how much is it?
7. A has money from 400 yuan and B has money from 150 yuan. If B gives some money to A, at this time, B's money is 10% of A's money. How much should B give A?
Our troops attacked the enemy at the bridgehead. When we set out, the enemy was 24 kilometers away from the bridgehead and our army was 30 kilometers away from the bridgehead. The speed of our army's urgent March is 1.5 times that of the enemy. As a result, we arrived 48 minutes earlier than the enemy, so we asked our army to speed up.
9. It takes the same time for a ship to sail 80km downstream and 60km upstream. Given the current speed of 3 km/h, find the ship speed in still water.
10. When a middle school travels to a place 15 kilometers away from the school, the advance team and the brigade set out at the same time, with the speed of 1.2 times that of the brigade, and arrived at the destination half an hour in advance to make preparations. What's the speed of the advance team and the brigade?
1 1, now someone processes 33 more parts per day than originally planned. As we all know, the time required to process 3,300 parts now is the same as that originally planned to process 2,365,438+00 parts. How many parts are processed on average every day?
12, a certain unit of our army went to a place 30 kilometers away from the station to perform tasks. Due to the change of circumstances, the speed of the emergency March must be 1.5 times of the original plan, so as to arrive two hours earlier as required, so as to achieve the speed of the emergency March.
13. The buyer of a shopping mall predicted that a shirt in this season would sell well in the market, so he bought it for 80 thousand yuan. After it was put on the market, it was really in short supply. The mall bought the second batch of this shirt for176,000, which is twice as much as the first batch, but the unit price is 4 yuan. When this shirt was sold in the shopping mall, there was 65438+ for each 58 yuan.
14. A wholesale and retail stationery store stipulates that you can pay at the wholesale price if you buy more than 300 pencils at a time (excluding 300 pencils), and you can only pay at the retail price if you buy less than 300 pencils. Xiaoming came to the store to buy pencils. If he buys 1 pencil for every eighth grade student, he can only pay at the retail price, and needs 120 yuan. If he buys 60 pencils, he can pay at the wholesale price, and he also needs 120 yuan.
(1) What is the total number of students in this eighth grade?
(2) If the wholesale price is the same as the retail price, how many eighth-grade students are there in this school?
15, an urgent project, because B didn't arrive, A had to start first, and it was half finished in 6 hours. After B arrived, they both worked at the same time, and 1 hour completed the second half. If b can finish the second half of the task in x hours alone, what is the equation that x should satisfy?
16. If the speed is increased by 25%, you can arrive 30 minutes earlier. What speed should you reach?
17. The students in Class A and Class B were assessed for reaching the sports standards. Results There are 48 students in Class A and 45 students in Class B. The qualified rate of Class A is 5% higher than that of Class B. What is the qualified rate of Class A?
18. The price of a commodity rises per kilogram 1/3. Last time it was 15 yuan, and this time it was 30 yuan. It is known that I bought 5 kilograms more this time than last time, so I want the price this time.
19, Xiao Ming and his classmates went to the bookstore to buy books. They first bought a popular science book with 15 yuan, and then bought a literature book with 15 yuan. The price of popular science books is half higher than that of literary books, so they bought one more literary book than popular science books. What are the prices of these popular science books and literature books?
20. The unit price ratio of raw materials A and B is 2: 3. Raw material A with a value of 2000 yuan and raw material B with a value of 1000 yuan are mixed, and the unit price is 9 yuan. Find the unit price of a ..
2 1, the price of a commodity is 15 yuan, which can make a profit of 25%. Find the cost price of this commodity.
22. In a store, the unit price of methyl sugar per kilogram is 20 yuan, and the unit price of ethyl sugar per kilogram is 16 yuan. In order to promote sales, 10 kg of sugar B and a pack of sugar A are mixed for sale. If the unit price of mixed candy is per kilogram 17.5 yuan, then the sales volume of mixed candy is the same as that sold separately. How many kilograms is this bag of candy?
23. The distance between the two places is 360 kilometers, and the speed when you come back is 50% faster than when you go, so the time on the way back is shortened by 2 hours, and you can get the speed when you go back.
24, a workshop processing 1200 parts, using a new technology, the work efficiency is 1.5 times of the original, so it takes 10 hour to process the same number of parts, how many parts are processed per hour before and after adopting the new technology?
1, Xiaoming and his classmates go to the bookstore to buy books. They first bought a popular science book with 15 yuan, and then bought a literature book with 15 yuan. The price of popular science books is half higher than that of literature books, so they buy less popular science books than literature books 1. What's the price of this popular science book and this literature book?
2、
Simplify the following scores.
( 1)(x^2/x+y)-(x+y)⑵(2/a+3)+(3/3-a)+(a+ 15/a^2-9)
(2)-(a^2-4/a^2+2-3a)+( 1/a-2)
(3)〔2/3x〕-(2/x+y)(x+y/3x-x-y)〔x-y/x)
(4)(x^2)/(x+y)-(x+y)/(x+y)
(5)2(a-3)/(a+3)(a-3)-3(a+3)/(a+3)(a-3)+(a+ 15)/(a+3)(a-3)
(6) 1-(a+2)(a-2)/(a-2)(a- 1)+(a- 1)/(a-2)(a- 1)
(7)〖(x-2)/(x+2)-(x+2)/(x-2)〗×(x^2-2x)/x^2
(8)〔2/3x)-(2/x+y)(x+y/3x)-(x-y)〕〔x-y)/x
(9)( 1/x+2)-(4x/4-x^2)+(2/2-x)
( 10)〖(2x/x-3)-(x/x+3)〗×(x^2-9/x)
3. Simplify first, then evaluate:1-[(3a/a-2)-(a/a+2)] ÷ a/a squared -4, where a=3/2.
4. Solve the fractional equation: (x/2x-3)+(5/3-2x)=4.
Step 5 solve inequalities
5x- 1 & lt； 3(x+ 1)
2(2x- 1)-3(5x+ 1)≤6
6. A wholesale and retail stationery store stipulates that anyone who buys more than 300 pieces (excluding 300 pieces) at one time can pay at the wholesale price, and those who buy less than 300 pieces (including 300 pieces) can only pay at the retail price. Xiao Ming buys pens in this stationery store. If he buys one for each eighth-grade student in the school and pays at the sales price, he needs 120 yuan. If he buys 60 more pens, he will pay at the selling price. Solve with fractional equation!