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Algebraic Expressions
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Flashcards: Algebraic Expressions Flashcard | Mathematics (Maths) Class 7 (Old NCERT)
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1. What is an algebraic expression?
Ans. An algebraic expression is a mathematical phrase that includes numbers, variables (letters that represent unknown values), and operation symbols (such as +, -, ×, and ÷). Unlike equations, algebraic expressions do not have an equality sign. For example, 3x + 5 is an algebraic expression.
2. How do you simplify an algebraic expression?
Ans. To simplify an algebraic expression, you combine like terms (terms that have the same variable raised to the same power) and perform any arithmetic operations. For instance, in the expression 2x + 3x + 4, you can combine 2x and 3x to get 5x, resulting in 5x + 4.
3. What are like terms in algebraic expressions?
Ans. Like terms are terms in an algebraic expression that have the same variable raised to the same power. For example, in the expression 4x^2 and 3x^2, both terms are like terms because they contain the variable x raised to the power of 2. You can combine them by adding their coefficients.
4. How do you evaluate an algebraic expression?
Ans. To evaluate an algebraic expression, you substitute the values of the variables into the expression and then perform the arithmetic operations. For example, to evaluate the expression 2x + 3 when x = 4, you would substitute 4 for x, resulting in 2(4) + 3 = 8 + 3 = 11.
5. What is the difference between an algebraic expression and an equation?
Ans. The main difference between an algebraic expression and an equation is that an algebraic expression does not have an equality sign, while an equation does. An algebraic expression represents a value, whereas an equation states that two expressions are equal. For example, 2x + 3 is an expression, while 2x + 3 = 7 is an equation.
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