Perform

Now that you’ve seen the variety of ways in which the SAT can test you on imaginary numbers and trigonometry, try the following questions to check your understanding. Give yourself 4 minutes to answer the following three questions. Make sure you use the Kaplan Method for Math as often as you can. Remember, you want to emphasize speed and efficiency in addition to simply getting the correct answer.

2. When the complex number (11 + 14i)³ is expanded, simplified, and written in the form a + bi where a is the real component, b is the imaginary component, and , what is the value of b ?

3.                           (x⁴ + 84x² + 243)(x² + 5x − 36) = 0
     
   Which of the following is not a solution to the equation shown above?

   1. –9i
   2. 
   3. 3i
   4. 9i

4. If , then which of the following could be the value of x ? (Assume this question is in the no-calculator section of the test.)

   1. 
   2. 
   3. 
   4.