"Solving linear equations of one variable" PPT of linear equations of one variable (Lesson 2)

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"Solving linear equations of one variable" PPT of linear equations of one variable (Lesson 2)

Part One: Learning Objectives

1. Correctly master the method of shifting terms to find solutions to equations.

2. Steps to solve a linear equation of one variable using the term transfer method.

Solving linear equations of one variable PPT, part 2: independent learning feedback

Solve the following equations:

(1)3x-7(x-1)=3-2(x+3)

(2)3x-2[3(x-1)-2(x+2)]=3(18-x)

(1) Solution: remove the brackets and get: 3x-7x+7=3-2x-6

Move items and get: 3x-7x+2x=3-6-7

Combine similar items to get: -2x=-10

The coefficient is converted to 1: x=5

Solving linear equations of one variable PPT, the third part: new knowledge explanation

Xiaoying went to the supermarket to buy 1 can of fruit milk drink and 4 cans of Coke. The salesperson told her that a can of Coke cost 0.5 yuan more than a can of fruit milk drink. Xiaoying gave the salesperson 10 yuan, and the salesperson got 3 yuan back. Everyone helped. Xiaoying, how much does a can of fruit milk drink cost?

If a can of fruit milk drink costs x yuan, then the equation can be listed

4(x+0.5)+x=10-3

think about it

(1) Is the above equation correct? Can you also list different equations?

(2) How to solve the listed equations?

Do you know how much a can of fruit milk drink costs? Solve the equations you listed.

Example 3 Solve the equation: 4(x+0.5)+x=7.

How is this equation different from the equation learned in class?

The equation contains parentheses

The brackets must be removed first

What should I pay attention to when removing brackets?

bracket removal rule

There is a "+" sign before the bracket. Remove the bracket and the "+" sign before it, and the symbols of the items in the brackets will remain unchanged.

There is a "-" sign before the bracket. Remove the bracket and the "-" sign before it, and the sign of each item in the bracket will change.

Solving linear equations of one variable PPT, part 4: in-class testing

1.The solution of equation 2(x-1)+3=3x-1 is _______.

Analysis: Remove the brackets and get 2x-2+3=3x-1. Move the terms and combine similar terms to get -x=-2. Solve to get x=2. So fill in x=2.

2. When x=_______, the values ​​of algebraic expression 6+x and x+2 are opposite to each other.

Analysis: According to the meaning of the question, we get (6+x)+(x+2)=0. Remove the brackets and get 6+x+x+2=0. The solution is x=-4.

Therefore fill in -4.

3. Solve the equation 3x-7(x-1)=3-2(x+3) and remove the brackets to get___________.

4. Solve the following equations.

(1)2(x+8)=3(x-1); (2)8x=-2(x+4).

Solving linear equations of one variable PPT, Part 5: Apply what you have learned

A factory has strengthened energy-saving measures. Compared with the first half of last year, the average monthly electricity consumption decreased by 2,000 kilowatt-hours, and the annual electricity consumption was 150,000 kilowatt-hours. What was the average monthly electricity consumption of this factory in the first half of last year?

Analysis: If the average monthly electricity consumption in the first half of the year is x kilowatt-hours,

Then the average monthly electricity consumption in the second half of the year is _____________ kWh,

In the first half of the year, we shared _____ kilowatt hours of electricity.

In the second half of the year, the shared electricity consumption will be _______________ kilowatt hour.

Because a total of 150,000 kWh of electricity was used throughout the year,

Therefore, the equation can be written_____________________________.

Solving linear equations of one variable PPT, Part 6 content: Class summary

Steps to solve a linear equation of one variable with parentheses:

remove brackets

Move item

Merger of similar items

The coefficient is reduced to 1

Solving linear equations of one variable PPT, Part 7: Personalized homework

1. Complete the homework of Group A of 5.2.2 Solving linear equations of one variable.

2. Preview pages 140-141 of the textbook and complete the independent learning test questions in the next section.

1. Complete the homework of Group B in 5.2.2 Solving linear equations of one variable.

2. Preview pages 140-141 of the textbook and complete the independent learning test questions in the next section.

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For more information about the PPT courseware "Solving a linear equation of one variable using a linear equation of one variable", please click the PPT tag of Solving a linear equation of one variable using a linear equation PPT.

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Update Time: 2024-10-03

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