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Algebraic Expressions Video Lecture | Mathematics (Maths) Class 7

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FAQs on Algebraic Expressions Video Lecture - Mathematics (Maths) Class 7

1. What are algebraic expressions?
Ans.An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It represents a quantity and can be simplified or manipulated according to algebraic rules. For example, \(3x + 2\) is an algebraic expression where \(x\) is a variable.
2. How do you simplify algebraic expressions?
Ans.To simplify an algebraic expression, you combine like terms, which are terms that have the same variable raised to the same power. For example, in the expression \(4x + 3x - 2\), you can combine \(4x\) and \(3x\) to get \(7x - 2\).
3. What is the difference between an expression and an equation?
Ans.An expression is a combination of numbers, variables, and operations that represents a value, while an equation states that two expressions are equal, typically involving an equals sign (=). For example, \(2x + 3\) is an expression, whereas \(2x + 3 = 7\) is an equation.
4. Can you provide examples of algebraic expressions?
Ans.Examples of algebraic expressions include \(5a + 6\), \(2x^2 - 4x + 1\), and \(7y + 3y^2 - 2\). Each of these includes variables, coefficients, and constants combined using addition, subtraction, or multiplication.
5. What are the common operations performed on algebraic expressions?
Ans.Common operations on algebraic expressions include addition, subtraction, multiplication, and division. You can add or subtract like terms, multiply expressions by using the distributive property, and divide expressions by factoring or canceling common factors.

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