SAT Math Multiple Choice Question 314: Answer and Explanation

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Test Information

Question: 314

14. If a + bi represents the complex number that results from multiplying 3 + 2i times 5 - i, what is the value of a?

  • A. 2
  • B. 13
  • C. 15
  • D. 17

Correct Answer: D

Explanation:

D

Difficulty: Medium

Category: Additional Topics in Math / Imaginary Numbers

Strategic Advice: Multiply the two complex numbers just as you would two binomials (using FOIL). Then, combine like terms and use the definition i2 = -1 to simplify the result.

Getting to the Answer:

The question asks for a in a + bi, so the correct answer is 17.

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