Real and Complex Numbers

Practice Questions

SAT Subject Test in Math I › Real and Complex Numbers

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1

Which answer choice has the greatest real number value?

2

Let be a complex number. $\overline{x}$ denotes the complex conjugate of .

$x+\overline{ x} = 16$ and $x-\overline{ x} = 40i$ .

Evaluate .

3

Evaulate:

$\frac{45-35i}{5i}$

4

Let and be complex numbers. $\overline{x}$ and $\overline{y}$ denote their complex conjugates.

Evaluate $\overline{x} \cdot \overline{y}$ .

5

Which of the following choices gives a sixth root of sixty-four?

6

What is the conjugate for the complex number

7

$\overline{x}$ denotes the complex conjugate of .

If , then evaluate $x^{3} \cdot \overline{x} ^{3}$ .

8

Which of the following is equal to $i^{-33}$ ?

9

Which of the following is equal to $\left (2i \right )^{6}$ ?

10

Which of the following is equal to $\left (5i \right ) ^{3}$ ?

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