The product of a number x and four decreased by twelve. Which of the following is an expression for the statement above?
Correct answer: D. 4x - 12
- A. 4x + 12
- B. 4(x + 12)
- C. 4(x - 12)
- D. 4x - 12
Explanation
The correct expression for the statement 'The product of a number x and four decreased by twelve' is 4x - 12. This is because 'the product of a number x and four' translates to multiplying x by 4, resulting in 4x. 'Decreased by twelve' means subtracting 12 from this product, leading to the expression 4x - 12.Option A is incorrect because it adds 12 instead of subtracting, resulting in 4x + 12. Option B is incorrect because it suggests adding 12 to x before multiplication, resulting in 4(x + 12). Option C is incorrect because it suggests subtracting 12 from x before multiplication, resulting in 4(x - 12).
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About Quantitative Reasoning
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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