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

Use properties of rational and irrational numbers.

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

Perform operations on vectors.

Represent complex numbers and their operations on the complex plane.

Perform operations on matrices and use matrices in applications.

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

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

Extend the properties of exponents to rational exponents.

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

Use complex numbers in polynomial identities and equations.

Represent and model with vector quantities.

Perform arithmetic operations with complex numbers.

Reason quantitatively and use units to solve problems.
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: 12