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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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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