Complex Number System Review

• A.
• B.
• C.
• D.

• 10
• -10
• 10i
• -10i

Multiply: 
(4 – 3i)(-7 – 2i)

•   -23 + 13i

•   -23 - 29i

•   -34 + 13i

•   -34 - 29i

Simplify.
(6 - 3i) + (1 + 8i)

• 9 + 5i

• 5 - 11i

• -5 + 5i

• 7 + 5i

A complex number can be expressed as a + bi. What does a represent?

• the real part of the complex number

• the imaginary part of the complex number

• depends on the sign of the number

• the square root of the complex number

What is a complex number?

• A number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit.

• A number that can only be expressed in the form a - bi

• A number that has no real part

• A number that can only be expressed in the form a + bi

Answer explanation

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit. This choice correctly defines a complex number.

An imaginary number is also part of which of the following set of numbers?

• Real

• Whole

• Irrational

• Complex

• Rational

• a
• b
• c
• d

A complex number has a real and an ________ part.

(5 + 2i) - (-8 + 5i)

• 13 - 7i

• 10 + 2i

• 13 - 3i

• -3 + 7i