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3 more than 8 times a number x is equal to 83. Which equation represents this situation? (3)(8)x
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice D is correct. The given phrase “8 times a number x” can be represented by the expression 8x. The given phrase “3 more than” indicates an increase of 3 to a quantity. Therefore “3 more than 8 times a number x” can be represented + by the expressioxn 8 3. Since it’s given that 3 more than 8 times a number x + + = is equal to 83, it follows thaxt 8 3 is equal to 83, or 8x 3 83. Therefore, the + = equation that represents this situation is 8x 3 83. Choice A is incorrect. This equation represents 3 times the quantity 8 times a number x is equal to 83. Choice B is incorrect. This equation represents 8 times a number x is equal to 3 more than 83. Choice C is incorrect. This equation represents 8 more than 3 times a number x is equal to 83.
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