"Practical Problems and Linear Equations of One Variable" PPT of Linear Equations of One Variable

"Practical Problems and Linear Equations of One Variable" PPT of Linear Equations of One Variable

Part One: Introduction to Situation

Question 1: What are the roughly steps involved in the process of solving application problems through equations?

1. Review: review the question and analyze the quantitative relationship in the question;

2. Assume: Assume appropriate unknowns and represent the unknowns;

3. Column: Make a series of equations based on the quantitative relationships in the question;

4. Solution: Solve this equation;

5. Answer: Check and answer.

Practical problems and linear equations of one variable PPT, part 2 content: learning objectives

Understand the background of supporting issues and engineering issues.

Distinguish relevant quantitative relationships and be able to correctly find the main equivalent relationships that serve as the basis for a series of equations.

Master the basic process of solving practical problems using linear equations of one variable

Practical problems and linear equations of one variable PPT, the third part: independent learning

Independent learning task 1: Read and study pages 86-87 of the textbook to master the following knowledge points.

How to correctly find the main equivalence relations on which a series of equations are based?

Independent learning task 2: Complete the questions of the independent learning test.

1. A drought occurred in southwest China. In a certain area, 15 excavation and earth-moving machines were needed to dig ditches and build canals, divert water for irrigation, and provide drought relief. Each machine can dig 3 cubic meters of earth or transport 2 cubic meters of earth per hour. In order to use When the excavation and earth moving work are completed at the same time, and x machines are arranged to excavate the earth, the equation can be written as ()

A． 3x-2x=15B. 3x=2(15-x)

C． 2x=3(15-x) D. 3x＋2x=15

2. A job takes 12 hours for A to complete alone, and 24 hours for B to complete alone. Then A can complete ____ of the job in 1 hour, and B can complete ____ of the job in 1 hour. A and B cooperate _ This work can be completed in ___ hours.

Question: Are there any other solutions to the above problem?

For example:

Solution: Suppose x workers should be arranged to produce nuts and (22-x) workers to produce screws.

According to the question: 2×1200(22-x)=2 000x.

Practical problems and linear equations of one variable PPT, part 4 content: layered teaching

Try the following questions and see who can do it quickly and accurately.

1, 2 groups

Example 1: Use tin sheets to make can boxes. Each sheet of tin can be used to make 25 box bodies or 40 box bottoms. One box body and two box bottoms are combined into one can box. There are currently 36 sheets of tin sheets. How many sheets of box body and box base can be used to make the box body and box bottom exactly match?

3, 4 groups

Example 2: A manuscript can be completed by typist A alone in 20 days, and by two typists A and B in 12 days. Now, after 7 days of typing by two typists, how many more days will it take for B to type the remaining part? Finish?

Practical problems and linear equations of one variable PPT, part 5: in-class testing

1. A certain civil engineering project requires the use of a total of 15 excavation machines. Each machine can dig 3 m3 or transport 2 m3 of earth per hour. In order to complete the excavation and earth transport work at the same time, x machines are arranged to transport earth. Here The equation that x should satisfy is ( )

A.2x=3(15-x) B.3x=2(15-x) C.15-2x=3x D.3x-2x=15

2. To process 1,500 parts, A alone takes 12 hours, and B alone takes 15 hours. If two people work together, they can finish the job in x hours. According to the question, the equation can be written as ()

3. There are 27 people in Team A and 19 people in Team B to complete a task together. Since the working time needs to be advanced, 20 people are transferred from other teams to support, so that the number of people in Team A is twice that of Team B. They should be transferred to Team A. Team B has _____ people, Team B has _____ people.

4. A certain project requires two teams, A and B, to construct 3 hours and 5 hours respectively. If the two teams work together to complete 80% of the project, it will take ______ hours.

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For more information about the PPT courseware "Practical Problems of Linear Equations of One Variable and Linear Equations of One Variable", please click on the PPT Label of Practical Problems of Linear Equations of One Variable and Linear Equations of One Variable.

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