"Solving linear equations of one variable" PPT courseware of linear equations of one variable

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"Solving linear equations of one variable" PPT courseware of linear equations of one variable

According to the following questions, suppose parallel equations with unknown variables:

(1) Use a 24cm long wire to form a square. What is the side length of the square?

(2) A computer has been used for 1,700 hours and is expected to be used for another 150 hours per month. How many months will it take for the computer to reach the prescribed maintenance time of 2,450 hours?

(3) Girls in a school account for 52% of all students, 80 more than boys. How many students are there in this school?

Solution: (1) Let the side length of the square be χcm,

Column equation 4χ=24.

(2) Suppose the usage time of this computer reaches 2450 hours after x months, then it will be used for 150x hours after x months.

The equation is 1700+150χ=2450.

(3) Suppose the students in this school are x, then the number of girls is 0.52χ and the number of boys is (1-.52)χ.

The equation is 0.52χ-(1-0.52)χ=80.

Based on the following questions, assume the unknowns and list the equations.

1. The length of a circular track is 400m. How many times can you run along the track for 3000m?

2. Pencils of type A cost 0.3 yuan each, and pencils of type B cost 0.6 yuan each. A total of 20 pencils of the two types were bought for 9 yuan. How many pencils of each type were purchased?

3. The lower base of a trapezoid is 2� more than the upper base, the height is 5�, and the area is 40�2. Find the upper base.

4. With the money of buying 10 large water cups, you can buy 15 small water cups. The unit price of the large water cup is 5 yuan more than that of the small water cup. How many yuan are the unit prices of the two types of water cups?

1. Solution: Let’s run x times along the track. According to the question, we get 400x=3000

2. Solution: Suppose you bought x pencils of type A, then you bought (20-x) pencils of type B. From the meaning of the question, you get 0.3x+0.6(20-x)=9

3. Solution: Suppose the upper base is x cm, then the lower base is (x+2) cm. According to the meaning of the question, we get 1/2(x+2+x)×5=40

4. Solution: Method 1, assuming the unit price of the small water cup is x yuan, then the unit price of the large water cup is (x+5) yuan. From the meaning of the question, we get 10 (x+5) = 15x

Method 2: Suppose the unit price of the large water cup is x yuan, then the unit price of the small water cup is (x-5) yuan. From the meaning of the question, we get 10x=15 (x-5)

Class summary

1. When making an equation, you must first set the unknown number (usually using letters such as x, y, z, etc. to represent the unknown number), and then based on the equality relationship in the problem, write an equation containing the unknown number - an equation.

2. Contains an unknown number (element), and the degree of the unknown number is 1 (degree). Such an equation is called a linear equation of one variable.

3. Solving an equation is to find the value of the unknown that makes the left and right sides of the equal sign of the equation equal. This value is the solution of the equation.

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Update Time: 2024-11-24

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