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Mathematics

Like Terms

In this Class 9 Mathematics topic, students learn how to recognise like terms in algebraic expressions. Like terms have the same variables raised to the same powers, while their numerical coefficients may differ. The topic explains how to distinguish like and unlike terms and how to combine like terms by adding or subtracting their coefficients. These skills help students simplify expressions accurately and solve common questions involving algebraic manipulation.

Medium · Level 1 · 1 questions

Practice questions

01What is obtained after simplifying 6p − 4q + 2p + 9q?

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Answer and explanation

Correct answer: A. 8p + 5q

The governing concept is combining like terms. Terms can be added or subtracted directly only when their variable parts are identical. Group the p-terms and q-terms: (6p + 2p) + (−4q + 9q). Add their numerical coefficients separately: 6 + 2 = 8, while −4 + 9 = 5. The simplified expression is therefore 8p + 5q, so option A is correct. Option B treats the q-coefficients as though both should be subtracted. Option C incorrectly uses 6 − 2 for the p-terms. Option D multiplies p and q, even though the original operation is addition and the terms are not being multiplied. No further combination is possible because p and q are different variables.

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Like Terms

Practice questions

01What is obtained after simplifying 6p − 4q + 2p + 9q?6p − 4q + 2p + 9q को सरल करने पर क्या मिलेगा?

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01What is obtained after simplifying 6p − 4q + 2p + 9q?