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 = 83
- B. 8x = 83 + 3
- C. 3x + 8 = 83
- D. 8x + 3 = 83
Explanation
The correct equation is 8x + 3 = 83. The phrase '8 times a number x' translates to 8x. '3 more than' indicates that 3 is added to this product, forming 8x + 3. The equation states that this expression is equal to 83. Other options misinterpret the order or meaning of the phrases.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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