Math II · N-CN.2

Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.

Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.

Concept Number and Quantity
Domain The Complex Number System
Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Add complex numbers in standard form by combining real parts and imaginary parts

4 variants
Template 2

Subtract complex numbers in standard form by combining real parts and imaginary parts

4 variants
Template 3

Multiply a complex number by a real number and write the result in standard form

4 variants
Template 4

Multiply a complex number by a pure imaginary number and write the result in standard form

4 variants
Template 5

Multiply two complex numbers written as binomials and express the product in standard form

4 variants
Template 6

Multiply a complex number by its conjugate

4 variants
Template 7

Simplify a complex-number expression with products or powers and write the result in standard form

4 variants
Template 8

Write the complex conjugate of a complex number in standard form

4 variants
Template 9

Add complex numbers geometrically on the complex plane by combining real and imaginary coordinates

4 variants
Template 10

Determine whether two complex-number expressions are equivalent by simplifying to standard form

4 variants