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Examples: Algebraic Expressions(Addition, subtraction) Video Lecture - Class 8

FAQs on Examples: Algebraic Expressions(Addition, subtraction) Video Lecture - Class 8

1. What is an algebraic expression?
Ans. An algebraic expression is a mathematical phrase that contains variables, constants, and operators such as addition and subtraction. It represents a quantity or a relationship between quantities. For example, 2x + 3y - 5 is an algebraic expression.
2. How do you add algebraic expressions?
Ans. To add algebraic expressions, you need to combine like terms. Like terms have the same variables raised to the same powers. Simply add or subtract the coefficients of the like terms while keeping the variables unchanged. For example, to add 3x + 2y and 5x - 4y, you add the coefficients of x and y separately: (3x + 5x) + (2y - 4y) = 8x - 2y.
3. Can you subtract algebraic expressions?
Ans. Yes, you can subtract algebraic expressions using similar principles as addition. Again, combine like terms by adding or subtracting the coefficients while keeping the variables unchanged. For example, to subtract 4x + 2y from 7x - 3y, you subtract the coefficients of x and y separately: (7x - 4x) + (-3y - 2y) = 3x - 5y.
4. What are constants in algebraic expressions?
Ans. Constants are numbers that do not change in an algebraic expression. They have fixed values and do not contain any variables. For example, in the expression 4x + 3y - 7, the constant is -7. Constants can be positive, negative, or zero.
5. How can algebraic expressions be simplified?
Ans. Algebraic expressions can be simplified by combining like terms and performing operations such as addition, subtraction, multiplication, and division. The goal is to simplify the expression to its simplest form, where there are no more like terms to combine. This involves following the rules of arithmetic and the properties of algebra.
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