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Number and Quantity: The Complex Number System

557 questions23 skills


120 questions4 skills
Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi with a and b real.


120 questions4 skills
Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.


76 questions3 skills
Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.


129 questions6 skills
Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.


100 questions5 skills
Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.


60 questions2 skills
Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.


30 questions1 skill
Solve quadratic equations with real coefficients that have complex solutions.


12 questions1 skill
Extend polynomial identities to the complex numbers.
Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Skills for this standard are coming soon.