Algebra Practice Test

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Which operation would you perform first in the expression -2*(-3 - 2) - 2*(-2 + m)?

Addition
Multiplication
Subtraction
Parentheses Calculation

The correct answer is: Parentheses Calculation

In the given expression, the first operation to be performed is indeed the calculation within the parentheses. This is consistent with the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). According to this rule, any calculations inside parentheses must be completed before moving on to multiplication or addition. The expression contains two sets of parentheses: (-3 - 2) and (-2 + m). To simplify the entire expression correctly, you must first evaluate these parentheses. Once the values within the parentheses have been determined, you can then proceed to the multiplication of -2 by the results of these calculations, and finally handle the subtraction and addition as you work through the expression. By focusing first on the calculations within the parentheses, you set up correctly for the subsequent multiplication and ensure that the overall expression is simplified accurately. This foundational step is crucial in algebra, as it lays the groundwork for all further operations.