Math 2-Unit 3 Midterm Review Day 2

Front

Evaluate (1 + 4𝑖)(2 + 3𝑖)

Back

-10 + 11𝑖

Front

What is the result of multiplying the complex numbers (2 + 3𝑖) and (5 - 2𝑖)?

Back

16 + 11𝑖

Front

Find the solution to the equations: y = x² - 4x + 6 and y = x + 2

Back

(1, 3) and (4, 6)

Front

Given the system of equations: y = x² + 3x - 5 and -x + y = 3. When x = -4, what is the value of y?

Back

-1

Front

Find the solution by graphing on DESMOS: y = x² + 3x - 5 and -x + y = 3.

Back

(-3,-15) and (4,-8)

Front

What is a complex number?

Back

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 the square root of -1.

Front

How do you multiply complex numbers?

Back

Multiply the real parts and the imaginary parts separately, then combine like terms.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What does it mean for two equations to intersect?

Back

It means they have at least one solution in common, represented by the point(s) where their graphs meet.