True or False: In the expression 6x - 4x + 3y + 2, the terms can be rearranged before combining.

• A. True
• B. False
• C. Only if the coefficients are constant
• D. Rearranging changes the value of the expression

Answer: (A)

The assertion is true because when combining like terms in an expression such as 6x - 4x + 3y + 2, the order in which terms are arranged does not affect the final result. The commutative property of addition states that the order of adding numbers can be changed without altering the sum.

Therefore, you can rearrange the terms in any order—whether it is grouping the x terms together or placing the constants at the end—before combining them. For instance, you could choose to rearrange the expression to 3y + 2 + 6x - 4x, and then proceed to combine like terms, yielding the same final result.

This flexibility allows for ease of calculation and clarity, as you can group terms in the way that makes the most sense to you when simplifying. Thus, the answer correctly reflects this principle of algebraic manipulation.