"Application of linear equations of two variables - increasing income and reducing expenditure" PPT courseware of linear equations of two variables

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"Application of linear equations of two variables - increasing income and reducing expenditure" PPT courseware of linear equations of two variables

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1. The total output value of a factory last year was x million yuan. This year’s total output value increased by 20% compared with last year. Then this year’s total output value is __________ million yuan;

2. If the factory’s total expenditure last year was y million yuan, and this year’s total expenditure is 10% less than last year, then this year’s total expenditure is __________ million yuan;

3. If the factory’s profit this year is 7.8 million yuan, then from 1 and 2, we can get the equation _______________________.

Experience improvement: The commonly used relationship to solve the problem of increase and decrease rate is a(1±x)=b

(where: a represents the base number;

Do it

Yucai School had 3,100 students last year, an increase of 4.4% this year compared to last year, of which boarding students increased by 6% and day students decreased by 2%. How many boarding students and day students did the school have last year?

Suppose there were x boarding students and y day students last year, then the system of equations can be listed as _______.

Can you create a word problem with a practical background based on this system of equations?

Activity Rules:

Four students work in groups to write questions and evaluate each other; then they select examples that are creative and in line with real life for whole-class communication.

Learning reflection:

1． In many practical problems, there are some equivalence relationships, so we can often use the method of formulating equations or systems of equations to deal with these problems.

2. This problem-solving process can be further summarized as:

Analyze and solve

Question----Equation (set)----Solution

abstract test

3. It should be noted that there are many ways to deal with practical problems. Chart analysis is an intuitive and concise method that should be selected flexibly according to specific problems.

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Update Time: 2024-06-17

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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