Complex Numbers — Quiz 1

Questions in this quiz (7)

1. Simplify: $$i^4$$

   • 1
   • -1
   • $$-i$$
   • $$i$$

2. Simplify: $$(3+2i)+(4+5i)$$

   • $$8+6i$$
   • $$7+7i$$
   • $$2+5i$$
   • $$3+4i$$

3. Simplify: $$(6-3i)-(2+7i)$$

   • $$4 - 10i$$
   • $$8 - 4i$$
   • $$8 - 10i$$
   • $$8 + 10i$$

4. Which of the following is equivalent to $$\sqrt{-16}$$?

   • $$16i$$
   • $$-4i$$
   • $$-16i$$
   • $$4i$$

5. What is the product of $$(2+i)(2-i)$$?

   • $$5$$
   • $$4-i$$
   • $$4+i$$
   • $$3$$

6. What multiplied by $$5 - 3i$$ will result in a real number?

   • $$5-3i$$
   • $$5+3i$$
   • $$3i$$
   • $$-3i$$

7. If the expression $$(5 + 2i)(3 - 6i)$$ is rewritten in the form $$a + bi$$, where $$a$$ and $$b$$ are real numbers, what is the value of $$a$$?(Note: $$i = \sqrt{-1}$$)

   • 27
   • -24
   • 24
   • -27