Column Equation Solving Problems in Middle School Exam Paper

Abstract

In order to test the students' ability to analyze problems and convert practical problems into mathematical problems, the application questions in the middle school test paper are essential. Now we will analyze several common types of applied problems for solving linear equations in one variable as follows: 1. Travel problems There are many types of travel problems, such as speed change problem, encounter problem, pervasive problem and so on. To solve this kind of problem, we must use the basic relation: speed x time-distance. When looking for an equivalence relationship, we can generally start from distance, time or speed. Example 1 The teachers and students of a middle school go on a spring tour 28 kilometers away from the school. The first part of the road is walking, and the walking speed is 4 kilometers per hour. The rest of the journey is by car, and the speed of the car is 36 kilometers per hour. It took 1 hour to find out how much time it took to walk and ride a car. (1993 Jilin Province High School Exam Questions) The analysis assumes that the walking time is X hours, and the bus time is (1-X) hours. walking and car ride