Evaluate the expression when x=11: x + 44 / (2x) =

Rationale

When x=11, the expression evaluates to 13.

By substituting x with 11 in the expression x + 44 / (2x), we can simplify the calculation to find the value. The order of operations dictates that we first handle the division before addition.

A (33) YOUR ANSWER

When substituting x with 11, the expression evaluates to 11 + 44 / (2 * 11). This simplifies to 11 + 44 / 22, which equals 11 + 2, resulting in 13. Since 33 is not the correct computation, this option is incorrect.

B (2.5) YOUR ANSWER

Using the same substitution, the expression simplifies to 11 + 44 / (2 * 11). This results in 11 + 2, which equals 13. Thus, 2.5 is far from the computed value, making this option incorrect.

C (13) CORRECT

By substituting x with 11, the expression simplifies as follows: 11 + 44 / (2 * 11) = 11 + 2 = 13. This confirms that 13 is indeed the correct evaluation of the expression when x equals 11.

D (55/22) YOUR ANSWER

While 55/22 simplifies to 2.5, substituting x in the original expression gives us 11 + 2, which evaluates to 13. Hence, although the fraction is mathematically valid, it does not represent the value of the expression for the given x.

Conclusion

Upon evaluating the expression x + 44 / (2x) with x set to 11, the correct result is 13. This result reflects the proper application of the order of operations, confirming that the only correct choice among the options provided is C. All other choices either miscalculate or represent a different value altogether.

Evaluate the expression when x=11: x + 44 / (2x) =

When x=11, the expression evaluates to 13.

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