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SAT Math : Practice Questions-Additional topics in math-Complex numbers

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Question

\(i^2+(-i)^2\)

In the complex number system, what is the value of the given expression? (Note: \(i = \sqrt{-1}\)) 

  1. -2
  2. 0
  3. 2
  4. \(2i\)
Answer/Explanation

Ans: A

Question

What is the sum of the complex numbers \(6+5i\) and \(8+3i^2\) ? (Note: \(i=\sqrt{-1}\))

  1. \(11+5i\)
  2. \(14-2i\)
  3. \(14+8i^3\)
  4. \(17+5i\)
Answer/Explanation

Ans: A

Question

In the complex number system, what is the value of the expression \(16i^4-8i^2+4\)? (Note: \(i=\sqrt{-1})\) 

Answer/Explanation

Ans: 28

Question

\((3+4i)-(2+3i)\)

In the complex number system, which of the following is equivalent to the expression above? (Note: \(i= \sqrt{-1}\)) 

  1. 0
  2. \(1+i\)
  3. \(-1-i\)
  4. \(-5-7i\)
Answer/Explanation

Ans: B

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