MTTC 103 Elementary Practice Exam 2025 – All-in-One Guide for Comprehensive Exam Success

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Which property allows students to simplify the expression 3(4 + 5)?

The associative property

The commutative property

The distributive property

The distributive property is fundamental in simplifying expressions where a number is multiplied by a sum or difference. In the case of the expression 3(4 + 5), using the distributive property allows one to multiply each term inside the parentheses by 3.

This involves taking the 3 and distributing it to both 4 and 5, leading to the steps:

3(4 + 5) = 3 * 4 + 3 * 5.

This simplification process results in 12 + 15, which can then be combined to arrive at the final result of 27.

Understanding the distributive property is essential for tackling more complex expressions, as it provides a systematic way to break down calculations and simplify equations effectively.

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The identity property

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