Question #9ff10b3b - SAT Suite Question Bank

ID: 9ff10b3b

Modded SAT Question Bank by Abdullah Mallik

If $one half x, minus one sixth x, equals 1$ , what is the value of x ?

$negative 4$
$one third$
$3$
$6$

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Correct Answer: C

Rationale

Choice C is correct. To make it easier to add like terms on the left-hand side of the given equation, both sides of the equation can be multiplied by 6, which is the lowest common denominator of $one half$ and $one sixth$ . This yields $3 x minus x, equals 6$ , which can be rewritten as $2 x equals 6$ . Dividing both sides of this equation by 2 yields $x equals 3$ .

Choice A is incorrect and may result from subtracting the denominators instead of numerators with common denominators to get $negative one fourth x$ , rather than $one third x$ , on the left-hand side of the equation. Choice B is incorrect and may result from rewriting the given equation as $one half x, equals one sixth$ instead of $2 x equals 6$ . Choice D is incorrect and may result from conceptual or computational errors.

Question Difficulty: Easy