SAT Math Practice Question #1646 (Medium (610)) | Test Citadel
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SAT Math Difficulty: Medium (610)

Digital SAT Math Practice Question #1646

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

What is the positive solution to the equation \(|3x - 5| = 2x + 10\)?
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Test x = 15: |3(15) - 5| = 40; 2(15) + 10 = 40. Matches immediately.

Masterclass Solution & Distractor Trap Analysis

Case 1: \(3x - 5 = 2x + 10 \implies x = 15\). Check: \(|3(15) - 5| = |40| = 40\), and \(2(15) + 10 = 40\). Valid! Case 2: \(3x - 5 = -(2x + 10) = -2x - 10 \implies 5x = -5 \implies x = -1\) (negative solution). The positive solution is 15....

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

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