Complex Numbers

Multiple Choice

Property tax is 8% of the assessed value of a house. How much would the property tax be on a house with an assessed value of $80,000?

• $100

• $640

• $1000

• $6400

• $10,000

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Multiple Choice

If $$x^2=9$$  , then

• x equals 3 only

• x equals -3 only

• $$x=\pm3$$  

• $$x=\pm9$$  

• x equals 9 only

Multiple Choice

The imaginary number i equals

• $$-1$$  

• $$\sqrt[]{-1}$$  

• $$1$$  

• $$\sqrt[]{1}$$  

• Any number; i is a variable.

Match

Match the following problems with their correct answer

• $$x^2=-36$$  

• $$x^2=36$$  

• $$x^2=-100$$  

• $$x^2=100$$  

a.  

d.  

b.   

c.  

• a. $$x=\pm6i$$  

• d. $$x=\pm6$$  

• b. $$x=\pm10i$$   

• c. $$x=\pm10$$  

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​Day 2

​Remember:

​Complex numbers are written in the form a + bi, where a and b are real numbers; a is the real part and bi is the imaginary part.

Fill in the Blank

$$i^2=?$$  

Multiple Choice

True or False: All powers of i can be rewritten as either $$i,\ i^2,\ i^3,\$$  or $$i^4$$  

• True

• False

Match

Match the following with their simplified answer.

• $$i^9$$  

• $$i^{18}$$  

• $$i^{39}$$  

• $$i^{20}$$  

i

-1

-i

1

• i

• -1

• -i

• 1

Multiple Choice

What is the conjugate of $$4i-8$$  ?

• $$4i-8$$  

• $$4i+8$$  

• $$16i-64$$  

• $$16i^2-64$$  

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Multiple Select

Which of the following is a complex number in standard form? Select all that apply.

• $$3+2i$$  

• $$19i-10$$  

• $$\frac{1}{3}-\frac{2}{5}i$$  

• $$17i+16i^2$$  

• $$4-3i$$  

Fill in the Blank

The imaginary number represents $$\sqrt[]{-1}$$   and is represented by the letter ___

Multiple Choice

$$i^4=?$$  

• $$-1$$  

• $$i$$  

• $$\sqrt[]{-1}$$  

• $$1$$