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"Understanding linear equations of one variable" PPT of linear equations of one variable (Lesson 2)
Part One: Learning Objectives
1. Understand an important thinking method for solving problems-try and test method.
2. Understand the two properties of equations, and initially learn to use the two properties of equations to solve linear equations of one variable.
Understanding linear equations of one variable PPT, part 2: review of old knowledge
1. The concept of linear equation of one variable:
2. Guess the teacher’s age
At the beginning of school, Xiao Ming asked him, a math teacher: "Teacher, how old are you this year?" The math teacher wanted to test Xiao Ming's intelligence, so he replied: "My age divided by 3 times 10, plus 20, It happens to be the anniversary of Chairman Mao’s birthday this year. “Do you know how old the math teacher is this year?
Solution: Assume that the math teacher is x years old this year, then the equation is:
Understanding the linear equation of one variable PPT, the third part: exploration of new knowledge
Properties of equations
The scales are balanced
If weights of the same mass are added to both sides of the balance at the same time, the balance will still be balanced.
If weights of the same mass are taken from both sides of the balance at the same time, the balance will still be balanced.
Property 1 If the same algebraic expression is added (or subtracted) to both sides of an equation at the same time, the result is still an equation.
think about it
If the mass of the weights on both sides of the balance expands by the same factor at the same time or shrinks to a fraction of its original value at the same time, will the balance still remain balanced?
Property 2: If both sides of an equation are multiplied by the same number (or divided by the same number that is not 0) at the same time, the result is still an equation.
PPT on understanding linear equations of one variable, part 4: detailed explanation of examples
Example 1. Solve the following equation:
(1) x + 2 = 5 (2) 3 = x - 5
Solution: (1) Subtract 2 from both sides of the equation at the same time to get
x + 2 – 2 = 5 – 2
∴ x = 3
(2) Add 5 to both sides of the equation at the same time, we get
3 + 5 = x – 5 + 5
∴ 8 = x
PPT on understanding linear equations of one variable, part 5: practice in class
1. Solve the following equations:
(1) x – 9 = 8; (2) 5 – y = - 1 6
(3) 3x + 4 = - 13 (4) 2/3x – 1 = 5
2. Xiaohong made up a question like this: I was born in April. 2 times my age plus 8 is exactly the total number of days in the month I was born. How old do you think I am? Please find out Xiaohong's age.
3. Choose:
(1) Which of the following formulas is a linear equation of one variable ( )
A. 2x + y = 4 B. 5x – 2x2 = 1
C. 3x – 2 = 4 D. 5x – 2
(2) The value of x that makes the equation 3x = x + 3 true is ( )
A. x = - 2 B. x =3/2
C. x = ¾ D. x = - 3/2
4. Fill in the blanks
(1) From 4x= - 2x + 1, we can get 4x +_____= 1.
(2) From both sides of the equation 3x + 2 = 6, we get 3x = 4.
(3) From the equation - 2x = 4, multiply both sides by _____ to get x = - 2.
(4) In the equation 5y – 4 = 6, if both sides are _____ at the same time, 5y = 10 can be obtained, and if both sides are _______ at the same time, y = 2 can be obtained.
Understanding linear equations of one variable PPT, part 6 content: Class summary
What did you learn in this lesson?
1. Basic properties of equations.
2. Use the basic properties of equations to solve linear equations of one variable.
Note: After we obtain the solution to the equation, we should also check it and develop the habit of checking it.
Homework assignment
P134 Exercise 5.2 Knowledge and Skills 1
Problem Solving 4, 5, 6, 7
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For more information about the PPT courseware "Linear Equations of One Variable and Understanding the Linear Equations of One Variable", please click on the PPT "Linear Equations of One Variable" PPT and Understanding the Linear Equations of One Variable PPT tag.
"Understanding linear equations of one variable" PPT download of linear equations of one variable (Lesson 2):
"Understanding linear equations of one variable" PPT download of linear equations of one variable (Lesson 2) Part 1: Knowledge points Basic knowledge point 1 Basic properties of equations 1. If x=y, then according to the properties of the equation, which of the following deformations is incorrect ( C ) A.x+2=y+2 B.3x=3y C...
"Understanding linear equations of one variable" PPT download of linear equations of one variable (Lesson 1):
"Understanding linear equations of one variable" PPT download of linear equations of one variable (Lesson 1) Part 1: Knowledge points Basic knowledge point 1 Definition of linear equations of one variable 1. Which of the following equations is a linear equation of one variable (D) A.2x-y= 0 B.x2-x=1 C.xy-3=5 D.x+1=..
"Understanding linear equations of one variable" PPT courseware of linear equations of one variable (Lesson 2):
"Understanding linear equations of one variable" PPT courseware of linear equations of one variable (Lesson 2) Part 1: Learning objectives 1. Understand the basic properties of equations. (Key points) 2. Be able to use the properties of equations to solve simple linear equations of one variable. (Difficulty points )... ... ... Get to know Yiyuanyi..