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Imaginary Numbers Worksheet

Explore imaginary numbers, complex numbers, and their operations with this Grade 11 math worksheet.

Grade 11 Math AlgebraImaginary Numbers
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSN.CN.A.1CCSS.MATH.CONTENT.HSN.CN.A.2

Topics

imaginary numberscomplex numbersalgebramath
7 sections · Free to use · Printable
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Imaginary Numbers: Grade 11

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Date:

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Read each question carefully and provide the best answer. Show all your work for full credit.

1. The imaginary unit 'i' is defined as the square root of  .

2. A complex number is typically written in the form a + bi, where 'a' is the   part and 'b' is the imaginary part.

3. The product of i and -i is  .

1. Which of the following is equivalent to i^3?

a

1

b

-1

c

i

d

-i

2. What is the conjugate of the complex number 3 + 4i?

a

-3 + 4i

b

3 - 4i

c

4 + 3i

d

-3 - 4i

1. Simplify the following expression: (2 + 3i) + (4 - i)

2. Simplify the following expression: (5 - 2i) - (1 + 6i)

3. Simplify the following expression: (3i)( -4i)

1. The square of any imaginary number is always a negative real number.

T

True

F

False

2. All real numbers are also complex numbers.

T

True

F

False

1. Find the value of x and y that satisfy the equation: (x + yi) + (3 - 2i) = 7 + 5i

2. Multiply the complex numbers: (2 + i)(3 - 2i)