Grade 11 · Math · Algebra 2

11th grade The complex plane, and the absolute value of a complex number worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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The complex plane, and the absolute value of a complex number

Grade 11 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Noah has pins at 2 + 7i and -1 + 6i. Leave it as a square root. What is the distance between them?
Ren's robot drives straight from 6 + 2i to 4 − 5i. Leave it as a square root. How far does it drive?
Tala finds the distance between -3 + 6i and 3 + 5i. Leave it as a square root. What is the distance?
4.
Zee has two pins on a grid map, at 6 + 2i and 4 − 5i. Which is farther from 0?
- 4 − 5i
- 6 + 2i
- They are the same distance from 0
5.
Esme's kites are drawn at 7 + i and 5 + 5i. Which is farther from 0?
- They are the same distance from 0
- 5 + 5i
- 7 + i, since its real part is bigger
6.
Jun's two robots park at -2 + 8i and 6 − 5i. Which is farther from 0?
- 6 − 5i
- They are the same distance from 0
- -2 + 8i
7.
Kira compares 9 − 2i and -7 + 6i on a puzzle card. Which is farther from 0?
- They are the same distance from 0
- 9 − 2i
- -7 + 6i
Luz starts at 1 + 2i, and the halfway point of the trip is 3 − i. Where does the trip end, in a + bi form?
Milo's kite string starts at -4 + 3i, and its middle is at -1 + 5i. Where does it end, in a + bi form?
Pia knows one end of a segment is -5 − 3i and its midpoint is i. What is the other end, in a + bi form?

The complex plane, and the absolute value of a complex number. Every version has 10 questions, and the answer key prints on the second page.

Standard: N-CN.B.4 (+), N-CN.B.5 (+), N-CN.B.6 (+)

complex plane: A grid: real numbers across, i numbers up.

midpoint: The point halfway between two points.

distance: The length of the straight segment between two points.

Your child swapped the two parts: the real part goes across and the i part goes up.

Your child got the sign of the i part wrong: below the real axis is negative.

Your child stopped at the distance squared and did not take the square root.

Ask: which number tells how far across?

Ask: is this point above or below the across line?

Ask: which number times itself gives this?

What is the most common mistake with the complex plane, and the absolute value of a complex number?

Your child swapped the two parts: the real part goes across and the i part goes up.

How can I help my child with the complex plane, and the absolute value of a complex number?

Ask: which number tells how far across?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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