Quiz about B-Man: Complex No. Practice

Question 1

Which of the following gives the Standard From $$a+bi$$ of this complex number?

$$11+\sqrt[]{-16}$$

Accepted Answer

$$11+4i$$

Answer

$$11-4i$$

Answer

$$-11+4i$$

Answer

$$-11-4i$$

Question 2

Which of the following gives the MOST simplified form of this complex number in Standard Form?

$$\sqrt[]{72}+\sqrt[]{-147}$$

Accepted Answer

$$6\sqrt[]{2}+7\sqrt[]{3}i$$

Answer

$$6\sqrt[]{2}+\sqrt[]{147}i$$

Answer

$$6\sqrt[]{2}-7\sqrt[]{3}i$$

Answer

$$\sqrt[]{72}+\sqrt[]{147}i$$

Question 3

Select the Standard Form of this complex number:

$$-\frac{17}{8}+\sqrt[]{-\frac{25}{64}}$$

Accepted Answer

$$-\frac{17}{8}+\frac{5}{8}i$$

Answer

$$-\frac{17}{8}-\frac{5}{8}i$$

Answer

$$\frac{17}{8}-\frac{5}{8}i$$

Answer

$$\frac{17}{8}+\frac{5}{8}i$$

Question 4

Which gives the Standard Form for the sum of the two complex numbers shown here:

$$\left(9+5i\right)+\left(-7-2i\right)$$

Accepted Answer

$$2+3i$$

Answer

$$2-3i$$

Answer

$$2+8i$$

Answer

$$-2+8i$$

Question 5

Which gives the Standard Form for the sum of the two complex numbers shown here:

$$\left(-19+\sqrt[]{-49}\right)+\left(-31-\sqrt[]{-9}\right)$$

HINT: Be sure to write in Standard Form FIRST, then add.

Accepted Answer

$$-50+4i$$

Answer

$$-50+\sqrt[]{40}i$$

Answer

$$-12+4i$$

Answer

$$-50-4i$$

Question 6

Complex numbers have opposites (also called additive inverses) just like real numbers. For example:

The opposite of $$-8+5i$$ is $$8-5i$$ since: $$\left(-8+5i\right)$$ $$+$$ $$8-5i$$ $$=\left(-8+8\right)+\left(5i-5i\right)=0+0=0$$ .

Notice the opposite of $$a+bi$$ is found by taking the opposite of BOTH real and imaginary parts.

Which of the following is the opposite of $$6+9i$$ ?

Accepted Answer

$$-6-9i$$

Answer

$$-9-6i$$

Answer

$$-6+9i$$

Answer

$$6-9i$$

Question 7

Complex numbers have opposites (also called additive inverses) just like real numbers. For example:

The opposite of $$-8+5i$$ is $$8-5i$$ since: $$\left(-8+5i\right)$$ $$+$$ $$8-5i$$ $$=\left(-8+8\right)+\left(5i-5i\right)=0+0=0$$ .

Notice the opposite of $$a+bi$$ is found by taking the opposite of BOTH real and imaginary parts.

Which of the following is the opposite of $$6+9i$$ ?

Accepted Answer

$$-6-9i$$

Answer

$$-9-6i$$

Answer

$$-6+9i$$

Answer

$$6-9i$$

B-Man: Complex No. Practice

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