Working with Imaginary Numbers

Practice Questions

ACT Math Test › Working with Imaginary Numbers

Questions

10

1

Which of the following complex numbers is equal to ? (Note: $i=\sqrt{-1}$ )

2

Which of the following complex numbers is equal to , where $i=\sqrt{-1}$ ?

3

Which of the following complex numbers is equal to $(3+8i)-(7i^{2}-2i)$ , for $i=\sqrt{-1}$ ?

4

Which of the following complex numbers is equal to $(6+11i)-(6i^{2}-3i)$ , for $i=\sqrt{-1}$ ?

5

If the expression $\frac{-3+5i}{4-i}$ is rewritten in the form , where and are real numbers, what is the value of ? (Note: $i=\sqrt{-1}$ )

6

If the expression $\frac{7+9i}{5-i}$ is rewritten in the form , where and are real numbers, what is the value of ? (Note: $i=\sqrt{-1}$ )

7

Simplify:

8

Which of the following complex numbers is equivalent to $\frac{7-4i}{6+5i}$ ? (Note: $i=\sqrt{-1}$ )

9

Which of the following complex numbers is equivalent to $\frac{5-2i}{4+3i}$ ? (Note: $i=\sqrt{-1}$ )

10

What is the sum ? (Note: $i=\sqrt{-1}$ )

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