These worksheets will teach your students to solve for variables in expressions with imaginary numbers.

#### Imaginary numbers are numbers that are expressed as the square root of a negative number. They can be written as a real number that is multiplied by the imaginary unit i. Imaginary numbers tend to make their presence known when a quadratic equation has no roots in the set of real numbers. This series of worksheets will go to ask you to solve quadratics and write math statements in standard form. These worksheets will solve for variables in expressions containing imaginary numbers (either through simple reduction or balancing quadratic equations).

These lessons and activities will help you teach the concept of imaginary units. Students will practice solving expressions when the equation has no roots in real number sets.

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## Imaginary Unit - Lesson

Learn how to solve equations that include imaginary numbers. Example: Solve for x: x^2=-9

## Worksheet 1

For each problem, solve the expression for x. Example: x^2+4=0

## Worksheet 2

For each problem, solve the expression for x. Example: x^2=-484

## Review Sheet

Review the steps for solving a quadratic equation such as the following: x^2=-16

## Quiz

For each problem, solve for x. Then check your answers and record your total score below. Example: x^2+729=0

## Imaginary units and standard complex form - Lesson

Follow the steps to learn how to solve the following quadratic equation: x^2+5 = 0

## Imaginary units and standard complex form - Worksheet 1

Do the following. Example: State the values of a and b components of a + bi form for 16-5i complex number.

## Worksheet 2

Do the following. Example: Solve the following quadratic equation: x^2 + 8 = 0

## Review Sheet

Review the steps to solve this quadratic equation: x^2+5 = 0

## Quiz

Answer each question as instructed, and then check your answers and record your total score below. Example: Write (-5+15i)/5 fractional expression in standard a + bi form.

## Do Now

Complete the following problems, then put your answer in the "My Answer" box. Example: Solve the following quadratic equation: x^2 + 10 = 0