Math 2-Unit 3 Midterm Review Day 2

Front

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

Back

21 - 1i

Front

Given the system of equations: y = x^2 + 3x - 5 and -x + y = 3, when x = -4, what is the value of y?

Back

-1

Front

Find the solution to the system: y = x^2 - 4x + 6 and y = x + 2.

Back

(1, 3) and (4, 6)

Front

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

Back

16 + 11i

Front

What is/are the solution(s) to the nonlinear system of equations: y = x^2 + 10x + 16 and y = 3x + 4?

Back

(x, y) = (-3, -5) or (-4, -8)

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 the square root of -1.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

What does it mean for a system of equations to be nonlinear?

Back

A system of equations is nonlinear if at least one of the equations is not a linear equation, meaning it cannot be graphed as a straight line.

Front

How do you find the intersection of two equations graphically?

Back

To find the intersection, graph both equations on the same coordinate plane and identify the points where they cross.