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Quick Revision: Simple Equations Video Lecture | Mathematics (Maths) Class 7 (Old NCERT)

FAQs on Quick Revision: Simple Equations Video Lecture - Mathematics (Maths) Class 7 (Old NCERT)

1. What is a simple equation?
Ans. A simple equation is a mathematical statement that asserts the equality of two expressions. It typically contains one variable and can be solved to find the value of that variable. For example, in the equation \(2x + 3 = 7\), \(x\) is the variable.
2. How do you solve a simple equation?
Ans. To solve a simple equation, you isolate the variable on one side of the equation. This usually involves performing inverse operations, such as adding, subtracting, multiplying, or dividing both sides of the equation by the same number. For example, to solve \(2x + 3 = 7\), you would first subtract 3 from both sides and then divide by 2 to find \(x\).
3. What are some common types of simple equations?
Ans. Common types of simple equations include linear equations, which can be expressed in the form \(ax + b = c\), where \(a\), \(b\), and \(c\) are constants. Other types include equations with fractions or decimals, such as \(\frac{x}{2} + 1 = 3\), and equations with negative numbers.
4. Can simple equations have more than one solution?
Ans. Simple equations typically have one solution, especially linear equations. However, some equations can have no solution (inconsistent equations) or infinitely many solutions (dependent equations). For example, the equation \(2x + 4 = 2(x + 2)\) has infinitely many solutions.
5. Why is it important to learn about simple equations?
Ans. Learning about simple equations is important because they form the foundation for algebra and higher-level mathematics. They also develop problem-solving skills and logical thinking, which are applicable in various real-life situations, such as budgeting, engineering, and science.
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