Which expression represents the sum of half of (x) and (7)?
Answer and explanation
Correct answer: \(\frac{x}{2}+7\)
Half of x is \(\frac{x}{2}\). Adding 7 to this quantity gives \(\frac{x}{2}+7\), so option C is correct. In \(\frac{x+7}{2}\), both x and 7 are divided by 2, while \(7-\frac{x}{2}\) represents a difference rather than a sum. Exam tip: translate “half of x” first, then add 7 for “sum.”
Frequently asked questions
What is the correct answer to this question?
\(\frac{x}{2}+7\)
Why is this the correct answer?
Half of x is \(\frac{x}{2}\). Adding 7 to this quantity gives \(\frac{x}{2}+7\), so option C is correct. In \(\frac{x+7}{2}\), both x and 7 are divided by 2, while \(7-\frac{x}{2}\) represents a difference rather than a sum. Exam tip: translate “half of x” first, then add 7 for “sum.”
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
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