Mathematics 1 1 chapter 3 answers

1. The linear equation with a solution is _ _ _ _ _ _. Just write one.

2. If it is the solution of the equation, then _ _ _ _ _.

3. If it is the solution of the equation, then _ _ _ _ _.

4. If,,, then the relationship between and is _ _ _ _ _.

5. If, then _ _ _ _, that is, if the sum of two numbers is, then these two numbers are _ _ _ _ _.

If, then _ _ _ _ _, that is, if two numbers are reciprocal, then the product of these two numbers is _ _ _ _.

6. If you divide by both sides of the equation, you will get it. We know that it is equal to _ _ _ _ _.

7. If yes, it should be ()

A.B. C. D。

8. If, then ①; ② ; ③ Reciprocity; ④ None of them can be zero. The correct conclusion is ().

A.B. C. D。

9. Among the following four formulas, the one that belongs to a linear equation is ().

A.B. C. D。

10. According to the following conditions, the equation can be listed as ().

A. the multiple of a number is less than b, and the ratio is poor.

C. the sum of multiples of number a and number b. The sum of and is

1 1. If they are opposites, the solution is ().

A.b.c or d.any number.

12. The following deformation is correct ()

A. Fuck, get B. Fuck, get

C. pass, get D. pass, get

13. Given the value of,, try to explain what attributes are based on equality.

Exercise 2

1. If the value of is opposite to that of, it is equal to ().

A.B. C. D。

2. If the formula and are reciprocal, the value of is ().

A.B. C. D。

3. The following deformation belongs to the shift item is ()

A. Fuck, get B. Fuck, get

C. pass, get D. pass, get

4. This equation, denominators to get a new equation, its error is ().

A. the least common multiple of denominator is wrong. B. When the denominator is removed, the numerator has no brackets, resulting in a sign error.

C. When the denominator is removed, the number with the denominator is omitted for multiplication. D. remove the denominator, and the numerator will not be multiplied by the corresponding number.

5. The solution of the equation is ()

A.b.c or d.can't be sure.

6. Equation, shift term and get can also be understood as both sides of the equation ().

A. minus B.

C. addition D. subtraction

7. Solve the equation:

8. Solve the equation:

9. Solve the equation:

10. Solve the equation:

Exercise 3

1. The profit that the store can still make by selling goods at a 10% discount on the basis of the marked price. If the purchase price of a commodity is RMB per piece, the price is RMB per piece.

2. It costs * * * yuan to buy an exercise book and a pen, knowing that a pen is RMB, and each exercise book is RMB _ _ _ _ _.

3. In the space knowledge contest, the average score of 10 students including classmate A is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

4. A city has carried out afforestation activities of "protecting the mother river". In Jinqiao Village of this city, the greening rate of 10,000 mu of barren hills has reached, 10,000 mu of fertile land is considered green, and the planting area of river slopes has reached. At present, the greening rate of all land in Jinqiao Village is _ _ _ _ _ _ mu.

5. A supermarket stipulates that the purchase of goods not exceeding RMB is charged in full; If you buy more than RMB, the excess will be charged at a 10% discount. If the customer pays RMB to the salesperson in one consumption, then the customer has purchased goods worth RMB _ _ _ _ _ _ _ _.

6. The picture on the right shows the price tag of Rejoice Shampoo in "Oriental" supermarket. A waiter accidentally dropped ink on the label, resulting in unclear original price. Please help me find out. The original price of this shampoo is ().

Yuan RMB

7. On the highway, a car with a length of meters and a speed of kilometers per hour has to catch up with a truck with a length of meters and a speed of kilometers per hour, so it takes about () time for the car to start catching up with the truck.

Nasa.

8. Chen Hua bought a pair of shoes at a discount price, saving 100 yuan, so he actually used () when buying shoes.

Yuan RMB

9. A coke costs RMB. In order to promote sales, customers get a lottery ticket for every coke they buy, and every three lottery tickets can be exchanged for a coke, so each lottery ticket is equivalent to ().

Yuan RMB

10. A store can make a profit by selling a batch of clothes at the price of RMB per piece. Find the cost price of this kind of clothes. If the cost price of this kind of clothes is RMB, the equation is ().

A.B.

C.D.

1 1. The charging standard for taxis is: the starting price is RMB (that is, the fare for driving less than one kilometer is RMB), and RMB is charged for each kilometer after exceeding one kilometer (RMB for driving less than one kilometer). If someone takes this taxi from A to B, the fare is RMB * * *, and the distance this person passes from A to B is kilometers, then the maximum value is.

A.B. C. D。

12. One day, a vegetable business owner sold tomatoes and beans from the vegetable wholesale market to the vegetable market for RMB. The wholesale and retail prices of tomatoes and beans on this day are as follows:

Named tomato bean

Wholesale price (unit: yuan/kg)

Retail price (yuan/kg)

Q: How much can he earn by selling these tomatoes and beans that day?

13. Lenovo Middle School organized junior three students to participate in sports activities once a week in the first three weeks of this semester. Each student in the whole grade only participates in one activity of ball games or track and field, assuming that the students who participate in ball games will participate in track and field activities next time; At the same time, students who take part in track and field activities every time will take part in ball games next time.

If the number of students participating in ball games for the first time and the second time is equal, how many students should participate in ball games for the first time?

14. The class committee decided that Xiao Min and Xiao Cong would be responsible for buying ballpoint pens and pens to send to students in mountain schools. They went to the shopping mall and saw RMB for each ballpoint pen and RMB for each pen.

(1) If they just spent RMB on ballpoint pens and pens, how many ballpoint pens and pens did they buy?

(2) If you buy ballpoint pens and pens at a discount, please write out the purchase plan on the premise that the required expenses do not exceed RMB.

15. The scoring rules of football match are: win one game, draw one game and lose one game. A football team needed a game in a certain season, and now it has played one game and lost one, and scored * * *. Excuse me:

(1) How many games did this team win in the last game?

(2) How many points can this team score after playing a full game?

(3) Through the analysis of the game situation, this team can achieve the expected goal by playing a full game and scoring no less than 10 points. Please analyze, in the next game, this team must win at least a few games to achieve the expected goal.

Answer a question.

Exercise 1

1. The answer is not unique, but 2.3.4.

5. They are opposites; , 6.7.C 8。 D 9。 B 10。 D 1 1。 A

12.c 13。 , equal attribute

Exercise 2

1.D 2。 D 3。 C 4 explosive B 5。 C 6。 A seven. 8.

9. 10.

Exercise 3

1.2.3.

4. (Hint: If there is an acre of river slope, then)

5. (Hint: If you buy goods worth RMB, then)

6.C

7.c (hint: we assume that the time needed is hours, from the meaning of the problem to the solution of hours and seconds)

8.B 9。 C 10。 C 1 1。 B

12. Yuan. (Hint: If you set up a wholesale tomato business, you can get it according to the meaning of the question, so the amount of money you earn is)

13. Name. (Hint: If you are named after the students who participated in ball games for the first time, you will be named after the students who participated in track and field activities for the first time, after the students who participated in track and field activities for the second time, and after the students who participated in ball games for the second time.

14.( 1) ballpoint pen and pen; (Hint: Buy a ballpoint pen and get a pen, depending on the meaning of the question. )

(2) The answer is not unique.

15.( 1) won the game; Hint: If this team wins the game, it will be a draw. According to the meaning of the problem, it will be solved. )

(2) If all the remaining games are won, the highest score can be obtained;

(3) In the next three games, as long as the score is not less than 10 points, the expected goal can be achieved by winning at least 10 games, while winning three games and drawing three games just achieves the expected goal.

"One Yuan Linear Equation" Examination Paper

Fill-in-the-blank question: This big question is a small question of *** 10, with 3 points for each small question and 30 points for * * *. Fill in the answers on the lines of the questions.

1. If so, then.

2. Assuming that the values of algebraic sum are reciprocal, then.

3. The solution of the equation is _ _ _ _ _.

4. When is, the value of algebraic expression is.

5. Assuming that the monomial and the monomial are similar items, then.

6. If it is known that the price of a commodity is RMB after 80% reduction, the original price of the commodity is RMB _ _ _ _ _.

7. A rectangular nursery, length10m, width140m, walk around the nursery. This nursery covers an area of _ _ _ _ _ _.

It is known that four empty bottles of mineral water can be exchanged for one bottle of mineral water. At present, the mineral water bottle is empty 15. If you don't pay, you can drink _ _ _ _ bottles of mineral water at most.

9. A store has two calculators with different purchase prices, both of which are sold in 64 yuan. One of them made a profit of 60% and the other lost 20%. In this transaction, the store has _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

10. It is known that the ratio of three numbers is, if the sum of these three numbers is 252, then these three numbers are _ _ _ _ _ _ _ _.

Second, multiple-choice questions: this big question ***6 small questions, 3 points for each small question, *** 18 points, only one of the four options given in each small question meets the requirements of the topic.

1 1. Don't understand the equation, the following solution is the solution of the equation ().

A.B. C. D。

12. Solve the equation, and the correct one is ()

A. solution: =6, get B. solution: get.

C. solution: =6, solution D. solution: De

13. To forge a cylindrical blank with a radius of 5cm and a height of 8cm, cut a round steel with a radius of 4cm ().

A.12.5cm B.13cm C.13.5cm D.14cm.

14. To forge a cylindrical billet with a diameter of 100mm and a height of 80mm, cut off a round steel with a diameter of 80mm ().

A.120mm B.125mm C.130mm D.135mm

15. Xiaoming and Xiaogang walked in opposite directions from two places 25.2 kilometers apart at the same time. Xiao Ming walks 4 kilometers every hour, and they meet three hours later. Let the speed of Xiaogang be 1km/h and the equation is ().

A. BC

16. Known, and then = ()

A.- 1 B.-2 C. D.-3

3. Operation question: This big question is ***6 small questions, with ***30 points. For the solution, it is necessary to write the necessary calculation process, derivation steps or text description.

17. (5 points in this small question) Solve the following equation:

18. (5 points in this small question) Solve the equation:

19. (This small problem has 5 points) Solve the equation.

20. (5 points in this small question) Solve the equation

2 1. (5 points for this small problem) Solve the equation.

22. The first number is six digits of 2. If the first number 2 is moved to the last number, the new six numbers will be exactly three times the original number. Try to find the original six digits.

Application problem: this big problem is ***2 small problems, and the score is *** 14. For the solution, it is necessary to write the necessary calculation process, derivation steps or text description.

23. (7 points in this small question) Make a rectangle with 76cm long wire, 22cm long and how wide?

24. (7 points in this small question) Someone has a collection of stamps, including those issued at home and abroad before 2000, domestic stamps issued in 200 1 year and domestic stamps issued in 2002, and less than 100 foreign stamps. How many stamps does this man have?

5. Inference question: This big question is * *1small question, with ***8 points. For the solution, it is necessary to write the necessary calculation process, derivation steps or text description.

25. (8 points in this small question) A literary and art group organized a benefit performance for the "Hope Project" fund-raising, * * * sold tickets 1000, and raised 6920 yuan, with 8 yuan for each adult and 5 yuan for each student.

1. How many adult tickets and student tickets did you sell?

2. If the ticket price remains unchanged, 1000 tickets are still sold, and the ticket price may be 7290 yuan? Why?

Fill-in-the-blank question: This big question is a small question of *** 10, with 3 points for each small question and 30 points for * * *. Fill in the answers on the lines of the questions.

2.2.4

Step 5: 4

7. 1200

8. IV

9. Earn 8 yuan

10.60,84, 108

1 1.B

12.D

13.A

14.B

15.C

16.D

17. (5 points for this small question) 1. x = 5 ^ 2。 x= 10。

18. (5 points for this small question) If the denominator is removed, it will be sorted out.

19. (5 points for this small question)

20. (5 points for this short question) 6

2 1. (5 points for this small question)

22. (5 points for this short question) 2857 14

23. (7 points in this small question) Let the width be cm and the equation be, and find the solution.

24. (7 points for this short question) 152.

5. Inference question: This big question is * *1small question, with ***8 points. For the solution, it is necessary to write the necessary calculation process, derivation steps or text description.

25. (8 points in this small question) Suppose 640 adult tickets were sold, including 360 students and 640 adults.

Improving the Quality of "One-variable Linear Equation"

Exercise 1 From Formula to Equation

First, choose an option carefully.

1, the following equation is deformed correctly ()

A, if χ = у, then b, if a=b, then a-3 = 3-b.

C, if 2πr 1=2πr2, then r 1= r2 D, if so, then a = c.

2. Given x=3y-2, y=2x-3, the value of x is ().

a、 1 B、C 、- 1 D、

3, the following conclusions, the correct is ()

A, if x+3=y-7, then x+7 = y-1b, if 7x-6=5-2y, then 7x+6 =17-y.

C if 0.25x= -4, then x=-1 D, if 7x= -7x, then 7= -7.

A factory produced 500 lathes last year, and this year it produces 1250 lathes. The following statement is correct ().

This year's output is one and a half times that of last year. B, this year's output is one and a half times that of last year.

C Last year's output was 1. 5 times less than this year's, while this year's output was 2. 5 times more than last year's.

5. The sum of antonyms of a number x times 2 times 6 is equal to the difference of 3 times this number minus 9, and the countable equation is ().

a、χ+6=3χ-9 B、χ-6=3χ-9

c、χ-6+3χ-9=0 D、χ-6=3( χ-6)-9

6. The distance between Station A and bilibili is 28km. After driving from A to B at a speed of 48km/h 1 h, car B will drive from B to A at a speed of 70 km/h. Suppose two cars meet after the second car leaves X hours, the equation can be listed as ().

a、70χ+48χ=284 B、70χ+48(χ- 1)=284

c、70χ+48(χ+ 1)=284 D、70(χ+ 1)+48χ=284

7, the following statement is correct ()

A. Add a number or an equation to both sides of the equation, and the result is still an equation.

B when two sides of an equation are divided by the same number, the result is still an equation.

C. Multiply both sides of the equation by 0, and the result is not an equation.

D. Subtract the same algebraic expression from both sides of the equation, and the result is still an equation.

8. In the following categories: ① 3a+2b; ②χ+у=0; ③ab = ba； ④χ=2; ⑤s = vt；

⑥3χ-2>0; ⑦a2+2a+ 1； ⑧5χ-3=4 is an unary linear equation with ().

a，2 B，3 C，4 D，5。

Second, fill in carefully.

1, if 3a= -4.5, then _ _ _ _ =-1.5, which is based on the property of equation _ _ _ _.

2. If 2χ+3=5χ- 1, then 6 χ-5 = _ _ _ _ _.

3. Multiply two sides of the equation by 2π to get the equation _ _ _ _ _ _ _ _.

4. It is known that χ=2 is the solution of the equation about χ +3k-2=0, then the value of k is _ _ _ _ _ _ _.

5. List the equations according to the conditions (let a certain number be χ):

(1), the difference between 2 times of a number and 3 is equal to 7 _ _ _ _ _ _ _.

(2) A number greater than a certain number by 7 is10 _ _ _ _ _ _ _ _.

(3) A number is _ _ _ _ _ _ _ smaller than its 2 times 3.

④ Half of the difference between a certain number and 3 is 2 _ _ _ _ _ _ _ _ _ _ _.

6. If someone deposits χ yuan in the bank, the annual interest rate is 1.98%, and the interest withdrawn after five years is 2 100 yuan, the equation can be _ _ _ _ _ _ _.

Third, be patient.

1, solve the equation:

( 1)、 (2)、3= -6

(3)、2χ-4=6 (4)、-3-3χ=2

2. If χ=2 and у=3 are the solutions of the equation χ-kу= 1, then the value of k is _ _ _ _ _ _ _ _.

3. In order to encourage electricity conservation, the charging standards for residential users in a certain place are as follows:

If the monthly electricity consumption of each household does not exceed 100 kWh, the electricity consumption per kWh will be charged according to 0.5 yuan; If it exceeds 100 kwh, the electricity consumption per kwh will be charged according to 0.8 yuan, and a household will pay the electricity fee according to 98 yuan in a certain month. So how many kwh of electricity will actually be consumed this month?

Reference answer:

1. 1, C 2, B 3, B 4, B 5, B 6, C 7, D 8, a.

Second, 1, a, 2 2, 3 3, 4,

5、( 1)2χ-3=7 (2) χ+7= 10 (3) χ-2χ= -3 (4) (χ-3)=2

6、5× 1.98%χ=2 100

Three. 1, ( 1) χ= (2) χ=6 (3) χ=5 (4) χ=-

2、

3. Solution: We assume that the actual electricity consumption this month is χ degrees.

Obviously χ > 100, from the meaning of the question:100 χ 0.5+(χ-100) × 0.8 = 98.

The solution is χ= 160.

A: The actual electricity consumption of this user this month is 160 degrees.

Improving the Quality of "One-variable Linear Equation"

Discussion and practical application of practicing quadratic linear equation

First, choose an option carefully.

1, the following statement is true ()

A. merging χ-3χ to get 2 χ B. merging

C, χ= -3 is the solution D of the equation χ-3=0. None of the above statements is correct.

2. Equation (a- 1)x2-ax+ 1=0 is a linear equation, so a is equal to ().

a、0 B、 1 C、 1 D 、- 1

3. If the solution of χ χ = 3 is a natural number, the value of the integer a is ().

A, 1 B, 3 C, 1 or 3 D, 1 or 3.

4. When the solution of equation 2χ-kχ+ 1=5χ-2 is-1, the value of k is ().

a 、-4 B 、-6 C 、-8 D、 10

5. Saw a 2-meter-wide rectangular piece of wood from a square piece of wood, leaving an area of 48 square meters, so the original board area is ().

a、 150m2 b、52m2 c、64m2 d、 136m2。

6. When solving the equation, after removing the denominator, the correct result is ().

a、2χ+ 1-8χ+2=6 B、2χ+ 1-8χ-2=6

c、2χ+ 1-8χ+2= 1 D、2χ+ 1-8χ-2= 1

Second, fill in carefully.

1, if -2a=4b, then a = _ _ _ _ _ _ _ a+2b = _ _ _ _ _ _.

2. The condition that the solution of equation aχ =b is χ = is _ _ _ _ _ _ _.

3. The prices of bananas and apples are 3 yuan/Jin and 5 yuan/Jin respectively. Now Xiaoming has ***33 yuan and wants to buy 9 Jin of bananas and apples. Please help Xiao Ming calculate and buy bananas _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

4. If the purchase price of a commodity is A yuan and the selling price is B yuan, then the profit is _ _ _ _ _ _ _.

5. The speed of the plane in the still wind is 1200 km/h, and the flight speed is χ km/h, and the downwind speed is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

6. It takes 40 seconds for Party A to run a circular track, and Party B runs in the opposite direction, meeting Party A every 15 seconds, so it takes _ _ _ _ _ _ _ seconds for Party B to run this track.

7. Two engineering teams, Party A and Party B, jointly build a highway with a length of 10 km. Team A builds 40 meters every day, while Team B builds 60 meters every day. If it takes x days to complete this project, then the equation _ _ _ _ _ _ _ _ _ _ _ _.

Third, be patient.

As shown in the figure, 1 is a colored block diagram that appears on the computer screen. It is a rectangle composed of six squares of different colors. If the side length of the smallest square in the middle is 1, find the area of the rectangle.

2. The mall plans to allocate funds for 93 yuan to buy 50 TV sets from manufacturers. It is known that this manufacturer produces three different models of TV sets, the ex-factory price is RMB 0.5 million per set, RMB 2 1.0 million per set, and RMB 2,500 per set.

(1) If the shopping mall buys 50 TV sets of two different models at the same time, and it costs 90,000 yuan, please study the shopping plan of the shopping mall.

(2) If a shopping mall can make a profit by selling a first-class TV set 150 yuan, a second-class TV set can make a profit in 200 yuan, and a third-class TV set can make a profit in 250 yuan, which purchase plan would you choose?

Reference answer

I. 1，B 2，B 3，C 4，B 5，C 6，B。

2. 1, -2b, 0 2, a≠0 3, 6, 3 4, (b-a) yuan 5, (1200+χ) km/h, (1200-χ) km/h 6.

3. Solution: Let the side length of the two side-by-side squares at the lower right be χ, then χ+2+χ+ 1=2χ- 1+χ.

χ=4, so the length of the rectangle is 3x+ 1 = 13, the width is 3x- 1 = 1, and the area is13x1= 65438+.

2.( 1) Scheme 1: Enter Class A χ TV sets and Class B (50-χ) TV sets,

Then1500χ+(50-χ) × 2100 = 90000.

χ=25,50-χ=25

Therefore, there are 25 TV sets A and B respectively.

Option 2: enter the first-class TV у, third-class (50-у).

Then 1500у+(50-у)×2500=90000,

у=35,50-у= 15