options: Use complex numbers in polynomial identities and equations.

Perform arithmetic operations with complex numbers.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Represent complex numbers and their operations on the complex plane.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Represent and model with vector quantities.

Use properties of rational and irrational numbers.

Compute fluently with multi-digit numbers and find common factors and multiples.

Reason quantitatively and use units to solve problems.

Know that there are numbers that are not rational, and approximate them by rational numbers.

Perform operations on matrices and use matrices in applications.

Perform operations on vectors.

Apply and extend previous understandings of numbers to the system of rational numbers.

Extend the properties of exponents to rational exponents.
problem_activity: Problem 1
Evaluate the following complex expressions:
$${(8+3i)-(6-2i)}$$
$${(8+3i)(6-2i)}$$
$${(2+i)^2+(6+2i)}$$
Problem 2
Which of the following results in a real number? Select all that apply.
$${i^2}$$
$${(2-i)(2+i)}$$
$${2i^3}$$
$${3i+2i}$$


correct_option_index: 1