"Application of linear inequalities of one variable" PPT courseware

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"Application of linear inequalities of one variable" PPT courseware

Part One: Review of Related Knowledge

1. The concept of linear inequality of one variable.

2. Solutions and precautions for linear inequalities of one variable.

3. What are the general steps for solving practical problems using linear equations of one variable?

PPT on the application of linear inequalities of one variable, part 2: give it a try

For example, the maximum load capacity of an elevator in a certain building is 1,000 kilograms. After loading 700 kilograms of decoration materials in the elevator, five decoration workers walked into the elevator. At this time, the elevator warning bell rang, which indicated that the elevator had exceeded the load capacity of the elevator. The maximum carrying capacity. How many kilograms does the average weight of these 5 workers exceed?

Solution: Assume the average weight of these five workers is x kilogram. According to the meaning of the question, we get

5x+700>1000

Solving this inequality, we get

x>60

Answer: The average weight of these five workers exceeds 60 kilograms.

PPT on the application of linear inequalities of one variable, the third part: cooperation and communication

Please talk about all the possible scenarios for purchasing sets of Category A books.

According to the practical significance of the problem, x should be a natural number no greater than 4, so the possible values ​​of x are 0, 1, 2, 3, and 4. That is, there are five possible situations in which the number of sets of type A books can be purchased.

Please tell me the general steps for solving practical problems using linear inequalities of one variable.

PPT on the application of linear inequalities of one variable, part 4: summary

The steps to solve practical problems using linear inequalities of one variable are:

1. Review: Review the question to determine the known quantities and unknown quantities, analyze and find out the unequal relationships contained in the question;

2. Assume: Assume appropriate unknowns;

3. Column: List the inequalities;

4. Solution: Solve this inequality and determine the solution to the problem based on the actual meaning of the problem;

5. Answer: Write a complete and correct answer.

PPT on the application of linear inequalities of one variable, part 5: solving problems

After the sports meeting, you need to take a group photo as a souvenir. If a color negative film costs 0.57 yuan, and a print costs 0.35 yuan, each person can reserve one, and the payment should not exceed 0.45 yuan. How many students should take part in the group photo?

Solution: Suppose there are x students participating in the group photo. According to the question,

0.57 + 0.35x ≤ 0.45x

Solving this inequality gives x ≥ 5.7

According to the actual meaning, x is the smallest integer in the solution set, so x = 6

Answer: There are at least 6 students participating in the group photo.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, application of linear inequalities of one variable PPT download, .PPT format;

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"Application of linear inequalities of one variable" PPT:

"Application of linear inequalities of one variable" PPT Part 1 content: Learning objectives: 1. Be able to list linear inequalities of one variable according to the quantitative relationship of specific problems to solve simple practical problems. 2. Be able to determine the practical significance of specific issues and test the rationality of the results sought..

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Update Time: 2024-07-27

This template belongs to Mathematics courseware Hebei Education Edition Seventh Grade Mathematics Volume 2 industry PPT template

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