3 more than 8 times a number x is equal to 83. Which equation represents this situation?
Correct answer: D. 8x + 3 = 83
- A. (3)(8)x = 8
- B. 8x = 83 + 3
- C. 3x + 8 = 83
- D. 8x + 3 = 83
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 expression 8x + 3. Since it's given that 3 more than 8 times a number x is equal to 83, it follows that 8x + 3 is equal to 83, or 8x + 3 = 83. Therefore, the equation that represents this situation is 8x + 3 = 83.
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