What is the simplified version of the expression 12p - 3p + 15q - 5q?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Master Algebraic Simplification by combining like terms effectively. Study with engaging quizzes, detailed explanations, and various question formats. Ace your exam!

Multiple Choice

What is the simplified version of the expression 12p - 3p + 15q - 5q?

Explanation:
To simplify the expression 12p - 3p + 15q - 5q, start by identifying and combining the like terms. The terms containing 'p' are 12p and -3p. When combined, they yield: 12p - 3p = 9p. Next, look at the terms containing 'q', which are 15q and -5q. When these are combined, they give: 15q - 5q = 10q. Thus, after combining the like terms, the simplified expression is 9p + 10q. This is why the correct answer represents the combined effect of the like terms accurately, reflecting the fundamental principle of algebraic simplification.

To simplify the expression 12p - 3p + 15q - 5q, start by identifying and combining the like terms. The terms containing 'p' are 12p and -3p. When combined, they yield:

12p - 3p = 9p.

Next, look at the terms containing 'q', which are 15q and -5q. When these are combined, they give:

15q - 5q = 10q.

Thus, after combining the like terms, the simplified expression is 9p + 10q. This is why the correct answer represents the combined effect of the like terms accurately, reflecting the fundamental principle of algebraic simplification.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy