True or False: 10x and 10x are identical terms that can be combined.

True or False: 10x and 10x are identical terms that can be combined.

• A. True
• B. False
• C. Only if they are in parentheses
• D. Only if they have coefficients

Answer: (A)

The statement is true because 10x and 10x are indeed identical terms, often referred to as "like terms." Like terms are terms that have the same variable raised to the same power, which means they can be combined by adding or subtracting their coefficients. In this case, both terms have the identical coefficient of 10 and the same variable x. When combined, 10x + 10x results in 20x, which reflects the sum of their coefficients. The options suggesting conditions for combining terms, such as requiring parentheses or specific coefficients, do not apply here since the identity of the terms allows for direct addition. The ability to combine like terms is a fundamental principle in algebra, allowing for simplification of expressions.

The statement is true because 10x and 10x are indeed identical terms, often referred to as "like terms." Like terms are terms that have the same variable raised to the same power, which means they can be combined by adding or subtracting their coefficients. In this case, both terms have the identical coefficient of 10 and the same variable x. When combined, 10x + 10x results in 20x, which reflects the sum of their coefficients.

The options suggesting conditions for combining terms, such as requiring parentheses or specific coefficients, do not apply here since the identity of the terms allows for direct addition. The ability to combine like terms is a fundamental principle in algebra, allowing for simplification of expressions.