SAT Math Multiple Choice Question 278: Answer and Explanation

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Test Information

Question: 278

8.

In the equation above, what is the value of n?

  • A. 0
  • B. 2
  • C. 3
  • D. There is no value of n that satisfies the equation.

Correct Answer: A

Explanation:

A

Difficulty: Medium

Category: Heart of Algebra / Linear Equations

Strategic Advice: Choose the best strategy to answer the question-cross-multiplying in this question (without a calculator) will create large numbers and possibly lead to errors. Instead, start by simplifying the numerators and then multiply both sides of the equation by the least common denominator, 36.

Getting to the Answer:

Don't be fooled-this does not mean that there is no solution. The value of n just happens to be 0. If the variable had been in the denominator of either of the expressions, you would need to check that the solution is valid, but it wasn't, so the correct answer is (A).

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