Grade 11 · Math · Algebra 2

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

6 printable versionsOn Level10 questions · answer keyFree · no account

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

Grade 11 Math Worksheet

NameDate

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

Luz measures a pin at 2 + 3i from 0. Leave it as a square root (type √ or sqrt). What is |2 + 3i|?
Noah's robot rolls from 0 to 5 − 2i. Leave it as a square root (type √ or sqrt). What is |5 − 2i|?
Pia finds the absolute value of -6 − i. Leave it as a square root (type √ or sqrt). What is |-6 − i|?
Ren has two pins on a grid map, at -1 + 3i and 3 + 6i. How far apart are they?
Tala flies two kites, drawn at -2 + 3i and 4 − 5i on the complex plane. How far apart are they?
Zee's robot drives straight from 5 − i to -7 + 4i. How far does the robot drive?
Esme finds the distance between -3 − 4i and 5 + 11i for a puzzle. How far apart are they?
Jun puts a snack stop halfway between pins at 2 + 6i and -4 + 2i. What is the midpoint, in a + bi form?
Kira ties a ribbon halfway between kites at 5 − 3i and 1 + 7i. What is the midpoint, in a + bi form?
Milo finds the midpoint of 3 + 4i and 7 − 4i on a puzzle card. What is the midpoint, 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.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records