Which of the following expressions is equivalent to:
Correct answer: D. a - c
- A. a - 3c
- B. a + 5c
- C. a + c
- D. a - c
Explanation
Option D is correct as the simplification of the given expression results in a - c. The other options are incorrect because they do not represent the simplified form of the expression. Option A, a - 3c, is incorrect as it introduces an unnecessary subtraction of 3c. Option B, a + 5c, is incorrect as it adds 5c, which is not part of the original expression. Option C, a + c, is incorrect because it adds c instead of subtracting it, which does not match the simplified form of a - c.
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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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