6

Set 14: Linear Equations

Explanation

Answer: A

If 0.25x+0.5=2.525x + 0.5 = 2.5, what is the value of xx?

A.

8

✓ Correct
B.

12

C.

4

D.

2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Subtract 0.5: 0.25x=2.00.25x = 2.0 2. Divide by 0.25: x=8x = 8 3. Verify: 0.25(8)+0.5=2+0.5=2.50.25(8) + 0.5 = 2 + 0.5 = 2.5 ✓ Choice C is incorrect because it results from an error in the solution process. Choice B is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 8

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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