"Linear functions and linear inequalities of one variable" PPT courseware for linear functions 2

Description

"Linear functions and linear inequalities of one variable" PPT courseware for linear functions 2

Ask questions Create situations

Let’s look at the following questions

1. Solve the inequality: 5x+6>3x+10

2. When the independent variable x has what value, the value of function y=2x-4 is greater than 0?

How are these two questions related?

induction

Any linear inequality of one variable can be transformed into the form ax+b>0 or ax+b<0 (a, b are constants, a≠0).

Solving linear inequalities of one variable can: from a mathematical point of view, it is to find the value range of the corresponding independent variable when the value of the linear function y= ax+b is greater than or less than 0;

From the perspective of shape, it is to determine the set of abscissas of all points above (or below) the x-axis of the straight line y=ax+b.

Practice in class

1. When the value of the independent variable x satisfies what conditions, the value of the function y=3x+8 satisfies the following conditions?

(1)y=-7 (2)y<2

Solution: (1) Draw a straight line y=3x+8

It can be seen from the picture

When y=-7, the corresponding x=-5

∴ When x=-5, y=-7

activity exploration

Two shopping malls A and B usually sell the same products at the same price, and they give each other a discount during the Mid-Autumn Festival. All products in mall A are sold at a 20% discount. After spending more than 200 yuan in mall B, you can shop at this mall with a 30% discount. How to choose shopping malls for more economical shopping?

Review summary

What did you gain from studying this class?

Use the graph of a linear function to solve linear inequalities of one variable

The connection between linear functions and linear inequalities of one variable

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"Linear functions and linear inequalities of one variable" PPT courseware:

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"Linear functions and linear inequalities of one variable" PPT courseware for linear functions:

"Linear functions and linear inequalities of one variable" PPT courseware for linear functions 1. Exploration of linear functions and linear inequalities of one variable: (1) All values ​​of the independent variable x of the function value y>0 of the linear function y=kx+b are the solution set of the linear inequality of one variable ________. (..

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Update Time: 2024-10-03

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

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