Which of the following are like terms in 4x^2 and 9x^2?

Prepare for your Leaving Certificate Mathematics exam with a comprehensive practice test featuring key definitions. Use flashcards, multiple choice questions, and detailed explanations to ensure success and mastery of fundamental math concepts.

Multiple Choice

Which of the following are like terms in 4x^2 and 9x^2?

Explanation:
Like terms are terms that have the same variable raised to the same power. Here, both terms are x^2, so they share the same variable part and are like terms. The coefficients 4 and 9 don’t affect this classification, and you could combine them as 4x^2 + 9x^2 = 13x^2. The other pairs don’t fit because one has different powers (x vs x^2), or uses different variables (xy and yz, or a and b), so they aren’t like terms.

Like terms are terms that have the same variable raised to the same power. Here, both terms are x^2, so they share the same variable part and are like terms. The coefficients 4 and 9 don’t affect this classification, and you could combine them as 4x^2 + 9x^2 = 13x^2. The other pairs don’t fit because one has different powers (x vs x^2), or uses different variables (xy and yz, or a and b), so they aren’t like terms.

Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy