Class 8 Exam > Class 8 Videos > Mathematics (Maths) Class 8 > Addition and Subtraction of Algebraic Expressions
Addition and Subtraction of Algebraic Expressions Video Lecture | Mathematics (Maths) Class 8
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FAQs on Addition and Subtraction of Algebraic Expressions Video Lecture - Mathematics (Maths) Class 8
| 1. What are algebraic expressions? |  |
Ans. Algebraic expressions are mathematical statements that consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. These expressions represent relationships and can be simplified or evaluated based on the given values of the variables.
| 2. How do you perform addition of algebraic expressions? | |
Ans. To add algebraic expressions, combine the like terms by adding or subtracting their coefficients. Variables with the same exponent and the same base are considered like terms. For example, to add 3x + 2y + 5x - 4y, combine the x terms (3x + 5x = 8x) and the y terms (2y - 4y = -2y), resulting in 8x - 2y.
| 3. Can you subtract algebraic expressions? | |
Ans. Yes, subtraction of algebraic expressions is similar to addition. To subtract one expression from another, distribute the negative sign to all the terms in the second expression and then follow the addition rules. For example, to subtract 2x - 3y from 4x + 5y, distribute the negative sign to 2x and 3y, giving -2x + 3y, and then add the terms: (4x + 5y) + (-2x + 3y) = 2x + 8y.
| 4. How do you simplify algebraic expressions? | |
Ans. To simplify algebraic expressions, combine like terms by adding or subtracting their coefficients. You can also apply the distributive property to remove parentheses and simplify expressions further. Additionally, you can use exponent rules, such as multiplying or dividing variables with the same base and exponent. Keep simplifying until you cannot combine any more like terms.
| 5. Can you give an example of simplifying an algebraic expression? | |
Ans. Certainly! Let's simplify the expression 3(x + 2) - 2(2x - 1).
First, distribute the 3 and the -2:
3x + 6 - 4x + 2
Next, combine like terms:
(3x - 4x) + (6 + 2)
-x + 8
So, the simplified form of the expression is -x + 8.
About this Video
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Dec 22, 2024 Last updated |
Video Description: Addition and Subtraction of Algebraic Expressions for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation.
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