SAT Math Practice Question #1645 (Medium (640)) | Test Citadel
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SAT Math Difficulty: Medium (640)

Digital SAT Math Practice Question #1645

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

What is the x-coordinate of the single point of intersection between the line \(y = 2x - 2\) and the parabola \(y = x^2 - 4x + 7\)?
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x^2 - 6x + 9 = 0 -> (x - 3)^2 = 0 -> x = 3.

Masterclass Solution & Distractor Trap Analysis

Set the equations equal: \(x^2 - 4x + 7 = 2x - 2 \implies x^2 - 6x + 9 = 0\). Factoring gives \((x - 3)^2 = 0\), which yields the single solution \(x = 3\)....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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