"Fractional Equations" Fractional PPT (use fractional equations to solve practical problems in Lesson 2)

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"Fractional Equations" Fractional PPT (use fractional equations to solve practical problems in Lesson 2)

Part 1: Common equivalence relationships

1. In engineering problems, the relationship between workload, work efficiency, and working time is: workload = _______________, work efficiency = ________, work time = _________.

2. In the itinerary problem, the relationship between distance, speed and time: distance =_______________, speed =_______________, time =_______________.

3. During the water flow stroke, the static water speed and water flow speed are known: speed along the water = _______________, speed against the water = _______________.

Fractional Equations PPT, Part 2: Exploring New Knowledge

Use fractional equations to solve practical problems (1)

Example 3: Two engineering teams jointly participated in a road construction project. Team A worked alone for one month to complete 1/3 of the total project. At this time, Team B was added, and the two teams worked together for another half a month, and the total project was completed. .Which team has the fastest construction speed?

Analysis: Team A can complete _____ of the total project in one month. Assume that Team B can complete ____ of the total project in one month. Then Team A can complete ____ of the total project in half a month, and Team B can complete ____ of the total project in half a month. Project ____, the two teams completed ____ of the total project in half a month.

Fractional Equations PPT, Part 3: Summary

General steps for solving word problems using column fraction equations

1. Review: Analyze the meaning of the question and find out the quantitative relationship and equality relationship.

2. Assume: Choose appropriate unknowns and pay attention to complete units and language.

3. Column: Correctly list algebraic expressions and equations based on quantities and equality relationships.

4.Answer: Carefully and carefully.

5. Inspection: There are two inspections.

6. Answer: Pay attention to the completeness of the units and language. And the answers should be life-like.

Fractional Equations PPT, Part 4: Practice and Consolidation

1. A factory prepared to process 600 parts. After processing 100 parts, it adopted new technology to double the daily processing efficiency. As a result, it took 7 days to complete the task. How much did the factory originally process per day? Parts?

Solution: Assume that the factory originally processed x parts per day. After adopting new technology, it will process 2x parts per day. According to the equivalent relationship of completion time, we get

After removing the denominator, we get 200 + 500 =14x,

Solving for x = 50.

Test: When x = 50, 2x ≠ 0.

So x = 50 is the root of the original equation.

Answer: The factory originally processed 50 parts per day.

2. The mall spent 50,000 yuan to purchase a batch of T-shirts from other places. Due to the good sales, the mall urgently allocated another 186,000 yuan to purchase twice as many T-shirts as the last time. However, the second time the purchase price was higher than the first time. Each item is 12 yuan more expensive. How many T-shirts do you want to buy for the first time?

Solution: Suppose you purchase x T-shirts for the first time. According to the question,

Multiply both sides of the equation by 3x and remove the denominator to get, 186 000 -150 000 =36x,

Solve for x =1 000.

Test: When x =1 000, 3x =3 000≠0, therefore, x =1 000 is the solution of the original fraction equation and conforms to the meaning of the question.

Answer: Purchased 1,000 T-shirts for the first time.

Fractional Equations PPT, Part 5: Class Summary

General steps for solving word problems using column fraction equations

1. Review: Analyze the meaning of the question and find out the quantitative relationship and equality relationship.

2. Assume: Choose appropriate unknowns and pay attention to complete units and language.

3. Column: Correctly list algebraic expressions and equations based on quantities and equality relationships.

4.Answer: Carefully and carefully.

5. Inspection: There are two inspections.

6. Answer: Pay attention to the completeness of the units and language. And the answers should be life-like.

Keywords: Free download of PPT courseware for eighth-grade mathematics from the People's Education Edition, PPT download of fractional equations, PPT download of fractions, PPT download of using fractional equations to solve practical problems, .PPT format;

For more information about the PPT courseware "Fractional Equations and Fractions Use Fractional Equations to Solve Practical Problems", please click the Fractional Equations PPT Fractional PPT Use Fractional Equations to Solve Practical Problems PPT tag.

"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 3):

"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 3), 26 pages in total. Learning objectives: Be able to express equality relationships in practical problems using fractional equations. Master the method of solving practical problems using fractional equations. ... ... ... Activity exploration Exploration point 1 Question 1:..

"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 2):

"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 2), 22 pages in total. Learning objectives: Master the basic ideas and solutions of fractional equations. Understand the reasons why fractional equations may have increased roots, and master the method of checking the roots of fractional equations. ... ... ... Activity exploration Explore...

"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 1):

"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 1), 21 pages in total. Learning objectives: Understand the meaning of fractional equations. Be able to analyze practical problems and formulate fractional equations according to the meaning of the questions. ... ... Activity exploration Exploration point 1 Question 1: A and B are 1400km apart,...

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Update Time: 2024-10-26

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

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