(1/2x+1) + 5Which of the following is equivalent to the expression above for x > 0?
Correct answer: D. 10x + 6/2x + 1
- A. (2x + 5)/(2x + 1)
- B. (2x + 6)/(2x + 1)
- C. (10x + 5)/(2x + 1)
- D. 10x + 6/2x + 1
Explanation
The correct answer is (10x + 6)/(2x + 1). To solve the expression (1/(2x+1)) + 5, you must first express the whole number 5 as a fraction with the same denominator: 5 * (2x+1)/(2x+1). This becomes (5(2x+1))/(2x+1) or (10x+5)/(2x+1). Adding this to (1/(2x+1)), the numerators combine to (10x+5+1), giving (10x+6)/(2x+1). The other options either incorrectly combine terms or misapply the process of finding a common denominator.
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