"Practical problems and linear equations of one variable" PPT courseware of linear equations of one variable

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"Practical problems and linear equations of one variable" PPT courseware of linear equations of one variable

Question 1: To solve the problem, you must find out how many points you get for winning a game and how many points you get for losing a game. Can you get how many points you get for losing a game from the points table?

Analysis: Looking at the standings, you can find from the bottom row of data: a loss equals 1 point.

Suppose X points are awarded for winning a game. From any other row in the table, you can formulate an equation to find the value of X. For example, from the first row we get the equation:

18X+1×4=40

From this we get X=2

You can verify it with other rows in the table and draw the conclusion: a loss is worth 1 point, and a win is worth 2 points.

Question 2: Can you make a formula to express the quantitative relationship between points and the number of wins and losses?

If a team wins m games and loses (22-m) games, the winning points are 2m and the losing points are 22-m. The total points are

2m+（22-m）=m+22

Question 3: Can a team’s total points in wins be equal to its total points in losses?

Suppose a team wins X games and loses (22-X) games. If the total points of the team's winning games are equal to the total points of the losing games, then the equation is obtained:

2X-(22-X)=0

From this we get X=22/3

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Update Time: 2024-10-19

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

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