The primary goal of using properties of operations in algebra is to

• A. To solve equations by numerical plugging only.
• B. To generate equivalent algebraic expressions with integer coefficients.
• C. To memorize rules for the sake of it.
• D. To convert all expressions to decimals.

Answer: (B)

Using properties of operations lets you rewrite an expression without changing its value. By rearranging terms, distributing, factoring, and combining like terms, you create equivalent algebraic expressions that are often easier to work with. Keeping coefficients as integers whenever possible makes arithmetic neater and avoids fractions or decimals. So, the main goal is to generate equivalent algebraic expressions with integer coefficients because that makes simplification, comparison, and solving steps clearer and more efficient. This isn’t about plugging in numbers for every step, and it isn’t about memorizing rules or converting everything to decimals.