## SAT SUBJECT TEST MATH LEVEL 2

## PART 2

## REVIEW OF MAJOR TOPICS

## CHAPTER 3

## Numbers and Operations

3.2 Complex Numbers

### Answers and Explanations

Imaginary Numbers

1. **(B)*** i*^{29} = *i*^{1} = *i.*

Complex Number Arithmetic

1. **(D)** If you enter imaginary numbers into the calculator, it will do imaginary arithmetic without changing mode. The imaginary unit is 2nd decimal point. Enter the product, and read the solution 23 + 2*i* .

2. * **(C)** Simply enter the expression into the graphing calculator.

3. * **(A)** Simply enter the expression into the graphing calculator.

Graphing Complex Numbers

1. **(B)*** z* = 4 + 2*i* , so *iz* = –2 + 4*i* , which is point *B* .

2. **(D)** The real and imaginary parts are 2 and 1, respectively, so the modulus is .