"Solving Application Problems from a System of Equations" PPT courseware

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"Solving Application Problems from a System of Equations" PPT courseware

Knowledge review

List the steps to solve word problems using linear equations of one variable:

1. Review: Clarify the known quantities and unknown quantities in the question, as well as the quantitative relationship between them, and set up an unknown quantity.

2. Column

list equations

Analyze the meaning of the question and find out the equivalent relationship

Use linear expressions containing unknown numbers to express relevant quantities

List equations based on equivalence relations

3. Solve the equation and find the value of the unknown.

4. Verification: Verify whether the obtained value is correct and consistent with the actual situation

5. Answer Write the answer

In this question:

(1) What is the known quantity? What is the unknown quantity?

(2) What is the equivalence relationship?

(3) If the time taken by the cruise ship to sail is x, and the voyage distance from Shashi Port to Yichang Port is y kilometers, can you formulate a system of equations based on the two equivalent relationships in the problem?

(4) Can you solve the listed equations? Give it a try and talk to your classmates.

Explore and discover

Example 1 Xiao Liang and Xiao Ying practice running. If Xiao Liang asks Xiao Ying to run 10 meters first, then Xiao Liang will catch up with Xiao Ying after running for 5 seconds; if Xiao Liang asks Xiao Ying to run for 2 seconds first, then Xiao Liang will run for 4 seconds. I caught up with Xiaoying and asked them how many meters they ran per second?

Discuss with classmates:

1. What is the known quantity in the question?

2. What is the unknown quantity in the question?

Equivalence relationship 1: The distance Xiaoliang runs in 5 seconds = the distance Xiaoying runs in 5 seconds +______ meters.

Equivalence relationship 2: The distance Xiaoliang runs in 4 seconds = the distance Xiaoying runs in (4+______) seconds.

Example 2 (Ancient Chinese Mathematics Problem) There are several chickens and rabbits placed in the same cage. Viewed from above, there are 35 heads; viewed from below, there are 94 legs. How many chickens are there in the cage? How many rabbits?

Discuss with classmates:

1. What is the known quantity in the question?

2. What is the unknown quantity in the question?

Equivalence relationship 1: chicken head + rabbit head = 35

Equivalence relationship 2: chicken feet + rabbit feet = 94

Classroom Compliance Test (I work hard, I can do it!)

1. In the basketball league, each game has a winner. Each team gets 2 points for a win and 1 point for a loss. In order to get a better ranking, a certain team wants to get 40 points in all 22 games. points, then how many games does this team win and lose?

2. A total of 25 questions were asked in a certain knowledge competition. The scoring criteria are as follows: 4 points will be added to each correct answer, 1 point will be deducted for each incorrect answer, and 0 points will be assigned to no answer. It is known that the questions Li Gang did not answer are more likely to be scored incorrectly than the questions he answered incorrectly. If there are 2 more questions, his total score is 74 points, then he answered correctly ( ).

A.19 questions B.18 questions C.20 questions D.21 questions

3. Look at the diagrams to solve the questions

Based on the information given in the picture, find the price of each T-shirt and each bottle of mineral water.

Keywords: teaching courseware for solving application problems of systems of equations, Qingdao edition seventh-grade mathematics second volume PPT courseware download, download of seventh-grade mathematics slide courseware, downloading PPT courseware of solving application problems of systems of equations, .PPT format;

For more information about the PPT courseware "Solving Word Problems from a System of Equations", please click the "Solving Word Problems from a System of Equations" ppt tab.

"Solving Word Problems from a System of Equations" PPT Courseware 3:

"Solving Word Problems from a System of Equations" PPT Courseware 3 Knowledge Review Steps for solving word problems from a linear equation of one variable: Review Clarify the known quantities and unknown quantities in the question, as well as the quantitative relationship between them. Set up an unknown number. Column List the equations Analyze the meaning of the question and find out the equivalent relationship...

"Solving Word Problems from a System of Equations" PPT courseware 2:

"Solving Application Problems from a System of Equations" PPT Courseware 2 Learning Objectives 1. Learn to find the known and unknown quantities in practical problems. 2. Be able to find quantitative relationships in word problems, set up unknowns and form equations based on equivalent relationships. Mathematics in life A cruise ship on the Yangtze River...

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Update Time: 2024-09-29

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