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

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

Knowledge review

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

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.

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

Solution Solve the equation to find the value of the unknown

Verify whether the obtained value is correct and consistent with the actual situation

Answer Write the answer

Textbook Communication and Discovery

1. Find the known and unknown quantities in the question

2. Is the flight time from Shashi to Yichang and Shashi to Gezhouba the same?

3. What is the equal quantity relationship in the itinerary problem?

4. Can you find the equivalence relationship in this question?

Solution: Assume that the cruise ship's sailing time is x, the voyage distance from Shashi Port to Yichang Port is y kilometers, then the voyage distance from Shashi Port to Gezhouba is (y+9) kilometers.

According to the equivalence relationship: speed × time = distance, a system of linear equations of two variables can be listed:

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.

Challenge yourself

A and B are talking about their ages.

A: When I was your age this year, you were 10 years old.

B: When I was your age this year, you were 25 years old.

Think about it, who is older between A and B?

How old are A and B each this year?

Did you do it right? Answer: A is 20 years old and B is 15 years old.

Expansion and improvement: When Xiaolong was doing a puzzle, he found that 8 small rectangles of the same size could be assembled into one large rectangle, as shown in Figure A. Xiaoming saw it and said, "Let me give it a try." As a result, Xiaoming pieced it together. Put together a square as shown in Figure B, leaving a hole in the middle, which happens to be a small square with a side length of 2 mm. Can you calculate the length and width of the small rectangle?

Classroom compliance testing

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

Class summary

1. What knowledge and methods did you learn in this class?

2. Skills in solving word problems using a system of linear equations in two variables

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 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...

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

"Solving Application Problems from a System of Equations" PPT Courseware Knowledge Review Steps for solving application problems using a linear equation of one variable: 1. Review. Clarify the known quantities and unknown quantities in the problem, as well as the quantitative relationship between them. Set up an unknown number. 2. List the equations, analyze the meaning of the question, and find out...

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Update Time: 2024-09-07

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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