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"Solving linear equations of one variable" PPT courseware for linear equations of one variable 5
In elementary school we learned the basic properties of equations:
1. If the same number or the same integer is added (or subtracted) to both sides of the equation, the result is still an equation.
2. If both sides of the equation are multiplied (or divided) by the same number (the divisor cannot be zero), the result is still an equation.
Using these two properties of the equation, we can solve the linear equation of one variable
Knowledge background
1.What is a linear equation of one variable?
An equation where both sides of the equation are integers, contain only one unknown, and the highest degree of the unknown is linear, is called a linear equation of one variable.
2. What is the solution of an equation? What is the solution of an equation?
The value of the unknown that makes the left and right sides of the equation equal is called the solution of the equation. The process of finding the solution to the equation is called solving the equation.
3.What is the simplest equation?
An equation of the form ax=b (a and b are both known numbers, a≠0) is called the simplest equation.
Are the following equations deformed correctly?
⑴6-x=8, shift the term to get x-6=8
⑵6+x=8, shift the terms to get x=8+6
⑶3x=8-2x, shift the term to get 3x+2x=-8
(4)5x-2=3x+7, shift the terms to get 5x+3x=7+2
Please judge
When Xiaogang was doing his homework, he encountered the equation 2x=5x. He divided both sides of the equation by x at the same time and got 2=5! Where did he go wrong?
What are the basic properties of the equation?
Solve the following equation:
(1)5(x-1)=3(x+1)
(2)2(3y-4)=4y-7(4-y)
(3)3-4(2x-1)=2-5(2x-1)
(4)x-2(1-3x)=3(x-4)+6
Compare to see who can do it quickly and accurately!
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"Solving linear equations of one variable" PPT courseware 2:
"Solving linear equations of one variable" PPT courseware 2 The ancient Greek mathematician Diophantus (around 250 BC) is known as the father of algebra. Very little is known about his life story, but in a book "Greek Poetry. .
"Solving linear equations of one variable" PPT courseware:
"Solving linear equations of one variable" PPT courseware, please judge. When Xiaogang was doing homework, he encountered the equation 2x=5x. He divided both sides of the equation by x at the same time, and he got 2=5! Where did he go wrong? What are the basic properties of the equation? Solve the equation: 5x-2=8 Solve...
"Solving linear equations of one variable" PPT courseware for linear equations of one variable 7:
"Solving linear equations of one variable" PPT courseware for linear equations of one variable 7 Determine whether the following expressions are equations? And explain the reasons (think about it, you must be able to do it!). 4+2=6 (2) 5x-13=5 (3) x-32 (4)x+1/2 (5)5x-13=5+x (6) 5x+13=5+y What is one yuan one...