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Linear Equations in One Variable Video Lecture | Mathematical Olympiad Class 8
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FAQs on Linear Equations in One Variable Video Lecture - Mathematical Olympiad Class 8
| 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 "x" is the variable, "a" and "b" are constants, and "a" is not equal to 0. It represents a straight line on a graph.
| 2. How do you solve a linear equation in one variable? | |
Ans. To solve a linear equation in one variable, you need to isolate the variable on one side of the equation. This can be done by performing operations such as addition, subtraction, multiplication, and division on both sides of the equation, while maintaining the equality.
| 3. What is the importance of linear equations in one variable? | |
Ans. Linear equations in one variable are essential in various real-life situations, such as calculating distances, finding the value of unknown quantities, determining the cost of items, and solving problems involving rates and proportions. They provide a fundamental framework for solving mathematical and scientific problems.
| 4. Can a linear equation in one variable have multiple solutions? | |
Ans. Yes, a linear equation in one variable can have multiple solutions or no solution at all. If the variable cancels out on both sides of the equation, it indicates infinitely many solutions. However, if the variable cancels out and the equation becomes a false statement like 0 = 2, it means there is no solution.
| 5. How can linear equations in one variable be represented graphically? | |
Ans. Linear equations in one variable can be represented graphically by plotting the points on a coordinate plane. Since they represent straight lines, you can plot two points and draw a line passing through them. The intersection of the line with the x-axis represents the solution(s) to the equation.
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Dec 31, 2024 Last updated |
Video Description: Linear Equations in One Variable for Class 8 2024 is part of Mathematical Olympiad Class 8 preparation.
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