7

Set 13: Linear Functions (Advanced)

Explanation

Answer: A

Convert y=3x2y = 3x - 2 to standard form.

A.

3xy=23x - y = 2

✓ Correct
B.

3x+y=23x + y = 2

C.

3xy=23x - y = -2

D.

x3y=2x - 3y = 2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Rearrange. 1. Subtract y: 0=3xy20= 3 x - y - 2. 2. Add 2: 2=3xy2= 3 x - y. 3. Result: 3xy=23x - y = 2. Strategic Tip: Check signs carefully when moving terms across the equals sign. Choice B is incorrect because sign error on y. Choice C is incorrect because sign error on constant. Choice D is incorrect because coefficients swapped.

Key Steps:

The correct answer is 3xy=23x - y = 2

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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