3 more than 8 times a number x is equal to 83 . Which equation represents this situation?

Question

Accepted Answer

Choice D is correct. The given phrase &ldquo; 8 times a number x &rdquo; can be represented by the expression 8 x . The given phrase &ldquo; 3 more than&rdquo; indies an increase of 3 to a quantity. Therefore &ldquo; 3 more than 8 times a number x &rdquo; can be represented by the expression 8 x + 3 . Since it&rsquo;s given that 3 more than 8 times a number x is equal to 83 , it follows that 8 x + 3 is equal to 83 , or 8 x + 3 = 83 . Therefore, the equation that represents this situation is 8 x + 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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