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Examples: Addition of Algebraic Expressions Video Lecture - Class 7

FAQs on Examples: Addition of Algebraic Expressions Video Lecture - Class 7

1. How do you add algebraic expressions?

Ans. To add algebraic expressions, we combine like terms by adding the coefficients of the terms with the same variables. For example, to add 3x + 2y + 4x - 5y, we add the x terms (3x + 4x) and the y terms (2y - 5y) separately, resulting in 7x - 3y.

2. Can you add expressions with different variables?

Ans. No, we cannot directly add expressions with different variables. In order to add them, we need to simplify each expression separately by combining like terms. If the variables are different, they cannot be combined and remain separate terms in the final expression.

3. What is the importance of combining like terms when adding algebraic expressions?

Ans. Combining like terms is important when adding algebraic expressions because it simplifies the expression and makes it easier to work with. By combining like terms, we reduce the number of terms in the expression and eliminate any unnecessary repetition, making it more concise and manageable.

4. Can you give an example of adding algebraic expressions with multiple variables?

Ans. Certainly! Let's add the expressions 3x + 2y - 4z and 2x - 5y + 2z. First, we combine the x terms (3x + 2x) to get 5x. Then, we combine the y terms (2y - 5y) to get -3y. Finally, we combine the z terms (-4z + 2z) to get -2z. Therefore, the sum of the two expressions is 5x - 3y - 2z.

5. Is the order of terms important when adding algebraic expressions?

Ans. No, the order of terms is not important when adding algebraic expressions. We can rearrange the terms in any order and still obtain the same sum. This property is known as the commutative property of addition. However, it is important to group like terms together before adding them to simplify the expression.

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