"Basic Properties of Equations" PPT Courseware 5

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"Basic Properties of Equations" PPT Courseware 5

Looking back suddenly

linear equation of one variable

An equation is an equation with unknown numbers

Judgment based on the equation 2x+3x=5x:

2x+3x + (4x) = 5x + (4x)

2x+3x - (x) = 5x - (x)

1. What properties do the above two questions reflect about the equation?

Judgment based on the equation 3m+5m=8m:

2×(3m+5m)＝2×8m

(3m+5m)÷2＝8m÷2

2. What properties do the above two questions reflect about the equation?

Basic properties of equation 1:

If the same number or expression is added (or subtracted) to both sides of the equation, the result is still an equation.

If a=b then a±c=b±c

Basic property of equation 2:

If both sides of an equation are multiplied or divided by the same number or equation (the divisor is not 0), the result is still an equation.

If a=b then ac=bc or a/c=b/c(c≠0)

give it a try

Example 1 It is known that 2x-5y=0 and y≠0 determine whether the following equation is true and explain the reason.

Example 2 Use the properties of equations to solve the following equations:

(1) 5x=50+4x (2) 8-2x=9-4x

Thinking expansion

It is known that the equation x-6=3-ax about x

Express x with an algebraic expression about a,

When a takes what integer, the solution of the equation is a positive integer?

and find the positive integer solution to this equation.

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"Basic Properties of Inequalities" PPT download:

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"Basic Properties of Inequalities" PPT:

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"Basic Properties of Equations" PPT courseware 7:

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Update Time: 2024-09-08

This template belongs to Mathematics courseware Hebei Education Edition Seventh Grade Mathematics Volume 1 industry PPT template

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