SAT Math Multiple Choice Question 119: Answer and Explanation

Home > SAT Test > SAT Math Multiple Choice Practice Tests

Test Information

Question: 119

14. What is the value of (2 + 8i)(1 - 4i) - (3 - 2i)(6 + 4i) ?
(Note: i = )

  • A. 8
  • B. 26
  • C. 34
  • D. 50

Correct Answer: A

Explanation:

A Taking note that i = , the expression (2 + 8i)(1 - 4i) - (3 - 2i)(6 + 4i) becomes (2 + 8)(1 - 4) - (3 - 2)(6 + 4). Expanding, this becomes 2 - 8 + 8 - 32()2 - (18 + 12 - 12 - 8()2) = 2 - 32()2 - 18 + 8()2 = 8()2 - 32()2 - 16. This further simplifies to -8 + 32 - 16 = 8. This is (A).

Previous       Next