5003 Praxis Practice Test Practice Question
Sam was told that twice the difference of a number and four is twelve. If x stands for the unknown number which equation could Sam solve to find the number?
Correct Answer: D
Rationale: To find the unknown number, the phrase "twice the difference of a number and four" translates mathematically to \(2(x - 4)\). This expression represents the difference of the number \(x\) and four, multiplied by two. Option D accurately reflects this by expanding to \(2x - 8\) on the left side, equating it to \(24\) (which is \(2 \times 12\)).
Option A incorrectly states \(2x - 4 = 12\), misrepresenting the difference. Option B, \(2(x - 9) = 12\), incorrectly uses nine instead of four. Option C, \(x - 4 = (2)(12)\), misplaces the multiplication by two, failing to represent the "twice the difference" concept.
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