Exploring Complex Numbers for AP Precalculus

What is the main focus of lesson number 13 in the AP pre-calculus prerequisites review?

• Trigonometry

• Calculus

• Complex Numbers

• Linear Algebra

What is the value of i squared?

• 1

• -1

• i

• -i

How do you simplify i to the 15th power?

• -1

• 1

• -i

• i

What is a complex number?

• A number that is only real

• A number that is only imaginary

• A number that is the sum of a real number and an imaginary number

• A number that can be written as a fraction

Which property does NOT apply to complex numbers?

• Associative Property

• Commutative Property

• Distributive Property

• None of the above

What is the complex conjugate of 3 + 4i?

• -3 - 4i

• 3 + 4i

• -3 + 4i

• 3 - 4i

Simplify the expression: (4 + 3i) + (7 - 5i).

• 11 + 2i

• 1 - 2i

• 11 - 2i

• 1 + 2i

Simplify the expression: (4 + 3i) - (7 - 5i).

• -3 + 8i

• -3 - 8i

• 3 + 8i

• 3 - 8i

What is the result of multiplying (4 + 3i) by (7 - 5i)?

• 43 + i

• 43 - i

• 28 + 15i

• 28 - 15i

Simplify the fraction: (2 + 5i) / (4 - 2i).

• -1 - 12i / 10

• 1 + 12i / 10

• -1 + 12i / 10

• 1 - 12i / 10