Set 17: Linear Functions (Intermediate)

Explanation

Answer: A

Convert $y = \frac{1}{2}x + 3$ to standard form with integer coefficients.

$x - 2y = -6$

✓ Correct

$x - 2y = 6$

$x + 2y = 6$

$2x - y = -3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Eliminate fractions. 1. Multiply by 2: $2y = x + 6$ . 2. Rearrange: Subtract $2y$ and subtract 6? Or subtract $x$ . - $-x + 2 y = 6$ . - Multiply by -1: $x - 2 y = -6$ . Strategic Tip: Standard form usually prefers positive $A$ . Choice B is incorrect because sign error on constant. Choice C is incorrect because sign error on y. Choice D is incorrect because incorrect multiplication.

Key Steps:

•

The correct answer is $x - 2y = -6$

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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