Question 92

Mr. Sanchez is illustrating applying the rules of order of operations.

In the given expression $25-4+12$, Mr. Sanchez is guiding his students to evaluate the expression by following the order of operations, which dictates the sequence in which different mathematical operations should be performed.

A) Applying the rules of order of operations

This option is correct because solving the expression $25-4+12$ requires students to understand and apply the order of operations, specifically handling subtraction and addition in the correct sequence to arrive at the accurate result.

B) Applying algebra to solve a system of linear equations

This option is incorrect as the problem does not involve algebraic expressions or systems of equations. Instead, it focuses on evaluating a simple arithmetic expression, which does not require any algebraic manipulation.

C) Applying the associative property of addition

This option is incorrect because the associative property of addition pertains to the grouping of numbers in addition, which is not relevant in this instance since the expression involves both subtraction and addition, and the focus is on order rather than grouping.

D) Applying the distributive property of multiplication over addition.

This option is incorrect as the distributive property deals with the multiplication of a number across a sum or difference, which is not applicable in the expression $25-4+12$. The problem does not involve any multiplication.

Conclusion

The correct answer is option A, as Mr. Sanchez is specifically illustrating the application of the rules of order of operations necessary for evaluating the arithmetic expression correctly. The other options fail to address the primary mathematical concept being demonstrated, which is the correct sequence of calculations required to solve the problem.