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NCERT Solutions for Class 7 Maths Chapter 2 - Linear Equations in One Variable: Exercise 2.1

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FAQs on NCERT Solutions for Class 7 Maths Chapter 2 - Linear Equations in One Variable: Exercise 2.1

1. What is a linear equation in one variable?
Ans. A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable. It represents a straight line on a graph and has only one solution.
2. How do you solve a linear equation in one variable?
Ans. To solve a linear equation in one variable, we need to isolate the variable on one side of the equation. We can do this by performing the same operation on both sides of the equation to maintain equality. The goal is to get the variable alone on one side and the constant term on the other side.
3. What is the importance of solving linear equations in one variable?
Ans. Solving linear equations in one variable is important in various real-life situations, such as calculating unknown quantities, determining the relationship between variables, and solving problems involving proportions and ratios. It helps in making predictions, analyzing data, and finding solutions to practical problems.
4. Can linear equations in one variable have more than one solution?
Ans. No, linear equations in one variable can have only one solution. This is because a linear equation represents a straight line on a graph and the intersection of that line with the x-axis gives the value of the variable. If the line intersects the x-axis at multiple points, it would mean that the equation has more than one solution, which is not possible for a linear equation in one variable.
5. How can linear equations in one variable be used in everyday life?
Ans. Linear equations in one variable can be used in everyday life for various purposes. They can help in calculating prices, determining the amount of ingredients needed for a recipe, finding the time taken to travel a certain distance, and solving problems related to speed, distance, and time. They are also used in budgeting, financial planning, and analyzing trends in data.
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