If 1/2 x - 1/6 x = 1 , what is the value of x ?

The correct answer is C. 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 1/2 and 1/6 . This yields 3 x - x = 6 , which can be rewritten as 2 x = 6 . Dividing both sides of this equation by 2 yields x = 3 .

SAT Question 9ff10b3b: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect and may result from subtracting the denominators instead of numerators with common denominators to get $- \frac{1}{4} x$ , rather than $\frac{1}{3} x$ , on the left-hand side of the equation.

Choice B

Choice B is incorrect and may result from rewriting the given equation as $\frac{1}{2} x = \frac{1}{6}$ instead of $2 x = 6$ .

Choice D

Choice D is incorrect and may result from conceptual or computational errors.

Explanation

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Why the other choices are wrong

SAT Question 9ff10b3b: Linear Equations In One Variable answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong