"Application of linear equations of one variable - "Project Hope" benefit performance" PPT teaching courseware of linear equations of one variable

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"Application of linear equations of one variable - "Project Hope" charity performance" PPT teaching courseware of linear equations of one variable

Part One Content: Basic Knowledge Key Points

Knowledge point 1: Use linear equations of one variable to solve the "double equivalent problem"

1. The "tiered water price" charging method in the city where Xiao Ming is located is that each household uses no more than 5 tons of water, and the water fee per ton is , paid a total water bill of 44 yuan. According to the meaning of the question, the correct equation about x is (A)

A.5x+4( x+2 )=44 B.5x+4( x-2 )=44

C.9( x+2 )=44 D.9( x+2 )-4×2=44

2. A certain school donated money to the "Hope Project". 39 students from Class 8 (1) donated a total of 350 yuan. The donation details are as follows:

How many students donated 5 yuan and 10 yuan?

Solution: Suppose there are x students who donated 5 yuan, then there are 39-5-7-x=(27-x) students who donated 10 yuan. According to the question, we get

2×5+5x+10(27-x)+20×7=350, the solution is x=14.

So 27-x=13.

Answer: There were 14 students who donated 5 yuan and 13 students who donated 10 yuan.

Project Hope benefit performance PPT using linear equations of one variable, part 2: improvement of comprehensive capabilities

5. There are 26 workers in a workshop. Each person can produce 800 screws or 1,000 nuts per day. One screw requires two nuts. In order to ensure that the screws and nuts produced every day are exactly matched, x workers are arranged to produce screws. Then the correct equation listed below is (C)

A.1000(26-x)=800x

B.1000(13-x)=800x

C.1000(26-x)=2×800x

D.2×1000(26-x)=800x

6. (Adapted) A class of students went to visit a museum and bought 20 tickets for a total of 360 yuan. It is known that the large tickets are 20 yuan each and the small tickets are 12 yuan each. Then the large tickets and the small tickets were bought separately (A)

A. 15 pictures, 5 pictures B. 5 pictures, 15 pictures

C. 8 pictures, 12 pictures D. 12 pictures, 8 pictures

7. There are

A.7 rooms B.8 rooms C.9 rooms D.10 rooms

8. A school is preparing to produce a batch of commemorative albums for graduating class students. Company A proposes to charge a material fee of RMB 5 for each album and a design fee of RMB 1,500; Company B proposes to charge a material fee of RMB 8 for each album and no design fee. After calculation, Teacher Xu found that the two companies charge the same fee, so the school will have 500 graduates this year.

9. Xiaoli and her father played a basketball game together. The two agreed on the rules: Xiaoli will get 3 points for making 1 shot, and her father will get 1 point for making 1 shot. As a result, the two of them made 20 shots in total, and the scores were exactly equal. .Xiao Li hit 5 shots.

10. There is an article in "Nine Chapters of Arithmetic" that explains the problem of "the art of surplus and deficiency". The original text is as follows: Today, there are people buying things together. When one person buys eight things, the surplus is three; when one person makes seven, there is less than four. What is the number of people? The translation is: Now There are some people buying an item together. Each person contributes 8 yuan, and there is a surplus of 3 yuan. Each person contributes 7 yuan, and there is a deficit of 4 yuan, so there are 7 people in total.

Project Hope benefit performance PPT using linear equations of one variable, the third part: Expanding exploration and breakthroughs

14. A travel agency plans to launch the "Xiongan New Area-Baiyangdian One-Day Tour" activity for students during the summer vacation. The charging standards are as follows:

Two schools, A and B, plan to organize their students to voluntarily participate in this activity. It is known that the number of students signed up by school A is more than 100, and the number of students signed up by school B is less than 100. After calculation, if the two schools organize groups separately, the total number of students will be The cost is 20,800 yuan. If the two schools jointly organize a group, it will only cost 18,000 yuan.

(1) What is the total number of students from the two schools who have signed up to participate in the tour?

(2) How many students from each of the two schools have signed up to participate in the tour?

Solution: (1) Suppose the sum of the number of students from the two schools who signed up for the tour is x. If the sum of the number of students from the two schools who signed up for the tour is greater than 200, then x=18000÷75=240. If the sum of the number of students from the two schools signed up for the tour If the sum of the number of students is between 100 and 200 (including 200), then x=18000÷85=21113/17, which does not meet the meaning of the question and should be discarded. Therefore, the sum of the number of students from the two schools who signed up for the tour is 240.

(2) Suppose there are y students from school A who have signed up for the tour, then there are (240-y) students from school B who have signed up for the tour. When the number of students in school A is between 100 and 200 (inclusive), according to the meaning of the question , we get 85y+90(240-y)=20800, and the solution is y=160, then 240-y=240-160=80.

When the number of students in school A is greater than 200, according to the meaning of the question, we get

75y+90(240-y)=20800, the solution is y=531/3, which is not consistent with the meaning of the question, so discard it.

To sum up, there are 160 students from school A who have signed up for the tour, and 80 students from school B who have signed up for the tour.

Keywords: Free download of Beijing Normal University edition seventh-grade mathematics PPT courseware for volume 1, PPT download of linear equations of one variable, PPT download of Project Hope charity performance using linear equations of one variable, .PPT format;

For more information about the PPT courseware "Project Hope Benefit Performance on Applying Linear Equations in One Variable and Applying Linear Equations in One Variable", please click on the Project Hope Charity Performance PPT tag on Applying Linear Equations in One Variable PPT.

"Application of linear equations of one variable - "Project Hope" benefit performance" PPT of linear equations of one variable:

"Application of Linear Equations of One Yuan Project Hope Charity Performance" Linear Equations of One Yuan PPT Part One Content: Learning Objectives 1. List equations by analyzing the equality between known numbers and unknown numbers in problems related to sums, differences, times, and divisions. 2. Consolidate the solution of linear equations of one variable..

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Update Time: 2024-10-04

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