"Practical problems and linear equations of one variable" PPT courseware for linear equations of one variable 2

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"Practical problems and linear equations of one variable" PPT courseware for linear equations of one variable 2

This problem is very simple to solve by making equations, because each chicken has one head and two legs, and each rabbit has one head and four legs.

Assume that there are x chickens in the secondary cage, then there are rabbits (35-x), 2x chicken feet, and 4 rabbit feet (35-x). Then according to the known conditions: chicken feet + rabbit feet = 94, we get, 2x+4(35-x)=94

This lists the equations, which can be found by solving the equations

x=23

35-x=12

There are 23 chickens and 12 rabbits.

We call the method of setting up unknown sequence equations to solve word problems called algebraic methods. The method of solving a problem using arithmetic expressions without setting unknowns is called arithmetic method. As the study progresses and the problems you come into contact with become more and more complex, you will gradually realize the superiority of algebraic methods and feel the simplicity and beauty of formulating equations to solve application problems.

In this equivalence relationship, the number of people participating in environmental protection publicity and the total number of seventh-grade students participating in public welfare activities are both unknown. It is known that the number of people participating in environmental protection publicity is 15% of the total number of people participating in public welfare activities, so we assume that there are x students participate in charity activities, then the number of people participating in environmental protection propaganda can be expressed as (15%x).

According to the question: 15%x+170=x

Solving this equation, we get

0.15x-x=-170

-0.85x=-170

x=200

The general steps are as follows:

1. Review the question carefully and find the equivalence relationship that can express the meaning of the question;

2. In analyzing the relationship between equivalent quantities, the relationship between known quantities and unknown quantities should be appropriately set as unknowns;

3. Express the remaining unknown quantities in the equivalence relationship with algebraic expressions containing x, and then list the equations based on the equivalence relationship;

4. Solve this equation;

5. Check whether the answer is reasonable and correct (no need to write it out). Write the answer at the end.

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"Practical problems and linear equations of one variable" PPT courseware for linear equations of one variable 3:

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"Practical Problems and Linear Equations of One Variable" PPT courseware for linear equations of one variable:

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Update Time: 2024-11-22

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 1 industry PPT template

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