High School

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Solve for \( x \) when the sum of a number, \( x \), and \(\frac{1}{2}\) is equal to 4.

A) \( 4 = x + \frac{1}{2}; \, x = 4 \frac{1}{2} \)

B) \( 4 = \frac{1}{2}x; \, x = 2 \)

C) \( 4 = \frac{1}{2}x; \, x = 8 \)

D) \( 4 = x + \frac{1}{2}; \, x = 3 \frac{1}{2} \)

Answer :

Final answer:

To solve the equation 4 = x + 1/2 for x, we subtract 1/2 from both sides to isolate x, resulting in x = 3 1/2. Therefore, the correct answer is D) 4 = x + 1/2; x = 3 1/2.

Explanation:

To solve for x when the sum of a number, x, and 1/2 is equal to 4, we start with the equation 4 = x + 1/2. To find the value of x, we need to isolate x on one side of the equation. We can do this by subtracting 1/2 from both sides of the equation:

4 - 1/2 = x + 1/2 - 1/2

Which simplifies to:

3 1/2 = x

Therefore, the correct answer is D) 4 = x + 1/2; x = 3 1/2.

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