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Which algebraic expression represents the phrase "seven more than half of a number"?
A. [tex]7 - \frac{1}{2}x[/tex] B. [tex]-7 + \frac{1}{2}x[/tex] C. [tex]\frac{1}{2}x + 7[/tex] D. [tex]-\frac{1}{2}x - 7[/tex]
To solve the question "Which algebraic expression represents the phrase 'seven more than half of a number'?", let's break down the phrase step by step.
1. Identify the expression for "half of a number": - Let [tex]\( x \)[/tex] represent the number. - Half of [tex]\( x \)[/tex] is written as [tex]\(\frac{1}{2} x\)[/tex].
2. Understand "seven more than": - "More than" in mathematical terms means addition. - Therefore, "seven more than" means you should add 7 to the previously identified expression.
Combining these steps together:
- The phrase "seven more than half of a number" translates to taking half of the number [tex]\(\frac{1}{2} x\)[/tex] and then adding 7 to it.
The algebraic expression for this phrase is: [tex]\[
\frac{1}{2} x + 7
\][/tex]
Thus, the correct choice from the given options is: [tex]\[
\frac{1}{2} x + 7
\][/tex]
Therefore, the answer is: [tex]\[
\boxed{\frac{1}{2} x + 7}
\][/tex]
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