Hybrid Midterm Exam (24-25)

Front

Simplify √-1

Back

i

Front

Write the inequality in interval notation: x ≥ -4 and x < -1

Back

[-4, -1)

Front

Solve the quadratic equation by completing the square: x² - 6x + 2 = 0

Back

x = 3 ± √7

Front

What is the simplified form of (11 - 7i) - (-3 + 12i)

Back

14 - 19i

Front

Calculate 3i(4 - i)

Back

3 + 12i

Front

Define a complex number.

Back

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.

Front

What is the imaginary unit i?

Back

The imaginary unit i is defined as √-1.

Front

Explain the process of completing the square.

Back

Completing the square involves rewriting a quadratic equation in the form (x - p)² = q to find its roots.

Front

What does interval notation represent?

Back

Interval notation is a way of writing subsets of the real number line using intervals.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints, while closed intervals do.