Case Study Questions on Class 7 Maths Chapter 7: Simple Equations
In Chapter 7, students explore the concept of simple equations and their applications. Here are some case study questions that encourage critical thinking and problem-solving.
1. Real-Life Application of Simple Equations
* A farmer has a certain number of apples. After selling some, he has 50 apples left. If he sold 30 apples, how can we express this situation as a simple equation?
* How can the farmer use this equation to determine the initial number of apples he had?
2. Balancing Equations
* In a class, the number of girls is twice the number of boys. If there are 'b' boys in the class, write a simple equation to represent the relationship between boys and girls.
* If there are 12 boys, how many girls are there?
3. Solving for Unknowns
* A book costs 3 times the price of a pen. If the total cost of 4 books and 5 pens is 240 rupees, set up a simple equation to find the price of one book and one pen.
* What are the unknowns in this equation, and how can they be solved?
4. Age Problems
* Sarah is 3 years older than her brother Mike. If the sum of their ages is 21, formulate a simple equation to find their ages.
* How can students verify their answers using the equation?
5. Word Problems
* A container holds a certain number of liters of water. After using 'x' liters, 15 liters remain. Write a simple equation to find out how much water was initially in the container.
* Discuss how to approach solving such word problems systematically.
These questions not only test the understanding of simple equations but also encourage students to relate mathematical concepts to real-world situations.