Digital SAT Math Practice Question #1277
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Immediately note $x \ne 3$ because of the denominator $(x - 3)$. Eliminate B and C without doing any math! Test Choice A ($x = 4$): $(16-9)/1 = 7$; $2(4)-1 = 7$. Match found!
Factor the numerator on the left side: $\frac{(x - 3)(x + 3)}{x - 3} = 2x - 1$. For all $x \ne 3$, the $(x - 3)$ terms cancel, leaving: $$x + 3 = 2x - 1 \implies 3 + 1 = 2x - x \implies x = 4.$$ Check the domain constraint: $x = 4$ does not...
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