2. A district secondary school soccer league **** 8 rounds (i.e., each team needs to play 8 games), win a score of 3 points, draw a score of 1 points, negative a score of 0 points. In this soccer league, the male division team kicked the number of games is the number of negative places 2 times, **** 17 points. Do you know how many games the team won?
3. 10 years ago, the mother was 6 times as old as her son; 10 years later, the mother is twice as old as her son. Find the present age of the mother and son.
4. A ship is known to have a capacity of 500 tons and a volume of 1000 cubic meters. Existing A, B two kinds of goods to be loaded, the volume of A goods per ton is 7 cubic meters, the volume of B goods per ton is 2 cubic meters, how to find the goods in order to maximize the use of the ship's capacity and volume?
5. A city with a population of 420,000 is planning to increase its urban population by 0.8% and its rural population by 1.1% in one year, so that the city's population will increase by 1%. What is the current urban and rural population of this city?
6. A and B are practicing running. If B runs 10 meters first, A catches up with B in 5 seconds; if B runs 2 seconds first, A catches up with B in 4 seconds. Find the speed of A and B.
7. A company's total income last year was 500,000 yuan more than the total expenditure, this year than last year's total income increased by 10%, the total expenditure savings of 20%, this year's total income is 1 million yuan more than the total expenditure. Find the total revenue and total expenses for last year.
8. Wang Dabo contracted 25 acres of land, this spring changed to plant eggplant and tomatoes two kinds of greenhouse vegetables, used 44,000 yuan. Eggplant used 1700 yuan per acre, obtaining a net profit of 2400 yuan; planting tomatoes used 1800 yuan per acre, obtaining a net profit of 2600 yuan, ask Wang Dabo a **** obtained net profit of how many yuan?
9. Xiaoming and Xiaoliang were 20 kilometers from each other, A, B, two places to each other, after 2 hours of good people to meet, after the encounter Xiaoming that is to return to the original place, Xiaoliang continue to A forward, Xiaoming returned to A, Xiaoliang from A, there are still 2 kilometers. Request the speed of the two people.
10. The Indian Ocean tsunami at the end of 2004 touched the hearts of people all over the world. An international medical relief team with A, B two kinds of raw materials for post-surgery patients configure nutrition. Each gram of A raw materials containing 0.5 units of protein and 1 unit of iron, each gram of B raw materials containing 0.7 units of protein and 0.4 units of iron. If the patient needs 35 units of protein and 40 units of iron per meal, how many grams of each of the two ingredients A and B per meal will meet the patient's needs?
11, there is a two-digit number, the sum of its two digits is 11, the two-digit number of digits and ten digits of the number of digits, the resulting new number is larger than the original number of 63, the original two-digit number.
12. A batch of goods to be transported to a certain place, the owner is ready to rent a motor transport company's A, B two kinds of trucks, known as the past two rent this kind of trucks are as follows:
Items The first time The second
A cargo vehicle number/vehicle 2 5
B cargo vehicle number/vehicle 3 6
Accumulated tonnage of goods transported/tons 15.5 35
Now renting the company 3 type A trucks and 5 type B trucks at a time just to complete the shipment, if the freight paid 30 yuan per ton, ask: how much freight trucks pay freight
13, the first level of the students to go somewhere to travel, if each car sits 45 people, then there are 15 students do not have a seat; if each car sits 60 people, then the empty 1 car. Ask how many students and how many automobiles a work.
14, a school held a math competition, there are 120 people enrolled in the competition results: the overall average score of 66 points, the average score of 76 points for qualified students, failed students average score of 52 points, then the math competition, how many students passed, how many students failed.
15, A B two places 20 kilometers away from each other, A from A to the direction of B, while B from B to the direction of A, two hours after the two people on the way to meet, meet A returned to A, B is still to A, A back to A, B from A there is still 2 kilometers, the speed of A, B two people.
16, A and B are 60 kilometers apart, A, B two people riding bicycles from A and B respectively, if A than B first half an hour, B per hour than A more than 2 kilometers, then they meet the distance traveled is exactly equal. Seek A, B two people riding a bicycle speed
17, known A, B two goods and the original price of 200 yuan. Due to market changes, the price of commodity A is reduced by 10%, and commodity B is increased by 10%, after the price adjustment, the unit price of the two commodities A, B and 5% higher than the original unit price and. A, B two goods of the original unit price
18, a class of students to go 18 kilometers north of the mountain excursion. Only a car, need to be divided into two groups, group A first car, group B walking. Car traveling to A, group A get off and walk, the car returned to pick up group B, the last two groups at the same time to reach the North Mountain station. Known car speed is 60 km / h, walking speed is 4 km / h, the distance from point A to the North Hill station.
19, a school gymnastics team and basketball team is 5:6, the number of volleyball team than the number of gymnastics team 2 times the number of 5 people less than the number of basketball team and the number of gymnastics team 3 times the number of sum equals to 42, how many people on each of the three teams?
20, there are two kinds of potion, a concentration of 60%, the other concentration of 90%, now to prepare the concentration of 70% of the potion 300 grams, ask how many grams of each kind of
21, a shopping mall plans to allocate 90,000 yuan from the manufacturer of 50 sets of televisions. It is known that the manufacturer produces three different models of television sets, the factory price of A 1500 yuan per unit, B 2100 yuan per unit, C 2500 yuan per unit. (1) If the mall at the same time to buy two different models of television sets **** 50 units, with 90,000 yuan, please study the mall's stocking program;
(2) If the mall sales of a kind of television can make a profit of 150 yuan, the sale of a kind of television can make a profit of 200 yuan, the sale of a kind of television can make a profit of 250 yuan. In the simultaneous purchase of two different models of television sets in the program, in order to make the most profit when selling, you choose which stocking program?
(3) If the shopping mall is ready to use 90,000 yuan at the same time to buy three different models of television sets 50 units, please you did not count the purchase program.
22. a clothing factory to produce a number of the same type of sportswear, known as every 3 meters of a certain fabric can be done 2 tops or 3 pants, the existing 600 meters of such fabric, please help you to design, how to allocate the fabric, in order to make the sportswear sets and not waste, how many sets of sportswear can be produced?
23. a store for renovation, if you ask a, b two decoration group at the same time construction, 8 days can be completed, need to pay two groups of costs ***3520 yuan; if you ask a group alone to do 6 days, and then ask a group alone to do 12 days can be completed, need to pay two groups of costs ***3480 yuan, ask:
(1) a, b two groups work alone one day, the store should be paid for each how many yuan?
(2) is known that group A alone to complete the need for 12 days, group B alone to complete the need for 24 days, alone please which group, the store this fee is less?
(3) If the renovation is completed, the store can make a profit of 200 yuan a day, you think how to arrange the construction has to take advantage of the store business? Say your reason . (You can directly use the known conditions in (1) (2))
The above is the equation (group) part, and the following is the inequality (group) part, but I think that 40 questions, additional
35 to 50 points, is not a little less.
1. A math quiz, ***16 multiple choice questions, graded on the following scale; 6 points for a correct question, 2 points for a wrong question, and no points for a non-answer. A student has 1 question unanswered, and he wants his score to be no less than 70, how many questions must he get at least right?
2. An English book ****98 pages, Zhang Li reads it for a week (7 days), while Li Yong has finished it in a week. Li Yong reads on average 3 more pages per day than Zhang Li, how many pages does Zhang Li read on average per day? (The answer to take the whole number)
3. a engineering team to recruit a, b two kinds of workers 150 people, a, b two kinds of monthly wages were 600 yuan and 1000 yuan, now requires the number of b kind of work not less than the number of a kind of work two times, ask a, b two kinds of work each recruiting how many people, can make the monthly wages paid the least?
4, a commodity original price of 800 yuan, when sold, the price of 1200 yuan, to maintain the profit margin of not less than 5%, then up to how many discounts?
5, an aquaculture processing plant has 100 workers, each worker every day, an average of 60 kilograms of aquatic products caught, or the day of the aquatic products caught 50 kilograms of processing, known as aquatic products sold directly per kilogram can make a profit of 7 yuan, after finishing the sale of aquatic products per kilogram can make a profit of 17 yuan, set every day to arrange for the finishing of the aquatic products x workers.
(1) Use the algebraic formula containing x to express the profit gained by the factory by doing the finishing process every day:
(2) If the finished aquatic products and the unfinished aquatic products are all sold on a certain day, the profit gained by the factory is 46,160 yuan, how many people do the finishing process of aquatic products. How many people should be assigned to fish processing to maximize the profit gained by the factory?
6. Usually when pricing the sale of an item, retailers generally take into account discounts for possible future promotions. If the purchase price of a certain brand of computer is 5,000 yuan, how much should the initial sales pricing of this computer be at least in order to make a profit of not less than 400 yuan when a 10% discount is offered at a later date?
7. second grade fall tour, if you rent a number of 48-seat bus, it is exactly full; if you rent a 64-seat bus, you can rent 1 less, and there is a car is not full, but more than half, known as renting a 48-seat bus 250 yuan each, renting a 64-seat bus 300 yuan each, ask which bus should be rented more cost-effective?
8. a pile of toys to a number of children, if each person 3 pieces, then the remaining 3 pieces, if each person 5 pieces, then each person toys, but there is a child's toys less than 3 pieces, then *** how many children.
9. A town in our city, the organization of 20 cars shipped finished A, B, C three kinds of navel oranges *** 100 tons to the field sales. According to the plan, 20 cars are to ship, each car can only ship the same kind of navel oranges, and must be filled. According to the information provided in the following table, parse the following problems:
Navel Oranges Species A B C
The amount of navel oranges to be shipped per car (tons) 6 5 4
The amount of navel oranges to be obtained per ton (hundreds of dollars) 12 16 10
(1) Let the number of vehicles that will ship navel oranges of Species A be , the number of vehicles that will ship navel oranges of Species B be , and use the algebraic equation containing x to express y; (2) If the number of vehicles that will ship each type of navel oranges are not less than 4 vehicles, how many ways are there to arrange the vehicles? And write each arrangement scheme; (3) Which arrangement scheme should be used if the sale is to be maximally profitable? And find the value of the maximum profit.
10, a clothing factory is known to buy from the textile factory A kind, B kind of two kinds of fabric ***122 meters, using 4180 yuan. Known A kind of fabric per meter 30 yuan, B kind of fabric per meter 40 yuan.
(1) How many meters of each type of fabric A and B were purchased?
(2) Now plan to use these two fabrics to produce 80 sets of A and B models of fashion ****. Known to do a set of A model of fashion or a set of B model of fashion required A, B two kinds of fabrics are as follows:
Fabrics Fashion A B
A (m) 0.6 1.1
B (m) 0.9 0.4
①Set the production of A model of fashion for x sets, the range of values of x;
② if a set of A model of fashion If the selling price of a set of model A fashion is 100 yuan, a set of model B fashion selling price of 90 yuan. The clothing factory in the production and sale of this batch of fashion, when the production of two models of fashion how many sets, the maximum total profit? What is the maximum profit in dollars?
11, Mianyang City, "National Civilized Village" Jiangyou Baiyu village fruit farmer Wang Chan harvest 20 tons of loquats, peaches 12 tons. Now plans to rent a, B two kinds of trucks **** 8 will be all the fruit transported to the field for sale, known as a kind of A truck can be loaded loquat 4 tons and 1 ton of peaches, a kind of B trucks can be loaded loquat and peaches 2 tons each.
(1) Wang Chan how to arrange the A and B two kinds of trucks can be transported to the sales place at once? How many programs?
(2) If each truck of type A pays 300 yuan for transportation and each truck of type B pays 240 yuan for transportation, which plan should Wang Chan, a fruit farmer, choose so that the transportation cost is the least? What is the minimum transportation cost?
12, a store needs to purchase a number of television sets and washing machines, according to market research, decided to purchase television sets not less than half of the purchase of washing machines. Television and washing machine prices and selling prices are as follows:
Classes Television washing machine
Price (yuan / unit) 1800 1500
Sale price (yuan / unit) 2000 1600
Planned to purchase TVs and washing machines*** 100 units, the store can raise up to 161,800 yuan.
(1) Please help the store to calculate how many kinds of purchase plans? (Do not take into account other costs in addition to the purchase price.)
(2) Which purchase plan will make the most profit when the store finishes selling the purchased TV sets and washing machines? And find the maximum profit. (Profit = selling price - price)
13, 2010, a county in our city to prepare for the 20th anniversary of the county celebration, the gardening department decided to use the existing 3490 pots of A flowers and 2950 pots of B flowers with the two kinds of horticultural modeling **** 50 placed on both sides of the welcome boulevard, it is known that with a kind of modeling need to be a kind of flowers 80 pots of A, B flowers 40 pots of B. With a kind of modeling need a kind of flowers 50 pots, a kind of flowers 90 pots.
(1) a school of ninth grade (1) class extracurricular activities group undertook the design of this horticultural modeling with the program, ask how many matching program to meet the meaning of the question? Please help design it.
(2) If the cost of matching one kind of molding is 800 yuan, and the cost of matching one kind of molding is 960 yuan, try to explain which program in (1) is the lowest cost? What is the lowest cost in dollars?
14, a group of students in front of the school to take a group photo. It is known that it costs 0.6 yuan to develop a negative, 0.4 yuan to develop a photo, each person gets a photo, and each person's average share of the money does not exceed 0.5 yuan, so at least how many students participate in the group photo?
15, A, B two stores to sell the same teapot and teacups, teapots are priced at 20 yuan each, teacups are priced at 5 yuan each, the two stores have different preferential methods: A store is to buy a teapot to give away a teacups; B store is 92% of the selling price of the collection. A customer needs to buy 4 teapots, a number of (more than 4) tea cups. How many teacups does he buy when he goes to store A for a discount?
16, in order to protect the environment, a company decided to buy 10 sets of sewage treatment equipment. Existing A, B two types of equipment, of which the price of each unit, the amount of sewage treatment per month and the annual consumption fee is as follows:
A type B type
Price (million yuan / unit) 12 10
Treatment of sewage (tons / month) 240 200
Annual consumption fee (million yuan / unit) 1 1
Budgeted, the enterprise to buy the equipment of the capital is not is higher than 1.05 million dollars.
(1)Please design the enterprise has several purchase options;
(2)If the enterprise produces 2040 tons of sewage per month, in order to save money, which purchase option should be chosen;
(3)Under the conditions of question (2), if each unit of equipment for 10 years, sewage treatment plant to treat the sewage for 10 yuan per ton, please calculate, the enterprise How many millions of dollars will the enterprise save in 10 years by treating its own sewage compared with discharging the sewage to the sewage plant for treatment? (Note: the cost of sewage treatment enterprises, including the purchase of equipment and consumption costs)
17, a city of a taxi starting price is 10 yuan traveling distance in 5km or less are required 10 yuan fare), reach or more than 5km, every increase of 1km, 1.2 yuan (less than 1km, an increase of 1.2 yuan; less than 1km part of the 1km meter). Now a person takes this kind of cab from place A to place B and pays 17.2 yuan, what is the approximate distance from place A to place B?
18, Wahaha mineral water sells for 1.2 yuan per bottle, now A, B two shopping malls to give incentives: A shopping malls all 10% off, B shopping malls more than 20 bottles of the part of 20% off. If you are a consumer, choose which mall is more appropriate?
19, there are a group of monkeys, one day to steal peaches. Split the peaches, if each monkey 3, then there are 59 left; if each monkey 5, they all share the peaches, but there is a monkey share of the peaches is not enough 5. Can you find out how many monkeys and how many peaches there are?
20. The scoring rules for a soccer game are: 3 points for a win, 1 point for a tie, and 0 points for a loss. A soccer team in a certain season *** need to play 14 games, has now played 8 games, lost one, scored 17 points, ask:
(1) the first 8 games, this team **** won how many games?
(2) What is the highest number of points this team can score playing all 14 games?
(3) By analyzing the game situation, this team can reach the desired goal by playing all 14 games and scoring no fewer than 29 points. How many wins does this team need to win at least in the next 6 games to reach the desired goal?
21. The owner of Shuangrong Clothing Store goes to a manufacturer to buy two types of clothing, A and B. If he buys 9 pieces of clothing of type A and 10 pieces of clothing of type B, he will need $1,810; if he buys 12 pieces of clothing of type A and 8 pieces of clothing of type B, he will need $1,880.
(1) What is the cost of each of the two types of garments, A and B, respectively?
(2) if the sale of a type A clothing can make a profit of 18 yuan, the sale of a type B clothing can make a profit of 30 yuan, according to the market needs, the owner of the clothing store decided: the number of purchases of type A clothing than the number of purchases of type B clothing twice as many as 4 pieces, and the maximum number of A clothing can be purchased 28 pieces of clothing so that all the clothing can be sold to make the total profit of not less than 699 yuan, ask how many kinds of stocking program? How to buy?
1.