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

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

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

Use properties of rational and irrational numbers.

Perform operations on matrices and use matrices in applications.

Represent complex numbers and their operations on the complex plane.

Reason quantitatively and use units to solve problems.

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

Use complex numbers in polynomial identities and equations.

Perform operations on vectors.

Extend the properties of exponents to rational exponents.

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

Perform arithmetic operations with complex numbers.

Represent and model with vector quantities.
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