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

Tags

CCSS.HSN.CN.A.2

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

Tags

CCSS.HSA.REI.C.7

Front

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

Back

(1, 3) and (4, 6)

Tags

CCSS.HSA.REI.C.7

Front

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

Back

16 + 11i

Tags

CCSS.HSN.CN.A.2

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)

Tags

CCSS.HSA.REI.C.7

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.

Tags

CCSS.HSN.CN.A.1

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Tags

CCSS.HSN.CN.A.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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA.REI.C.7

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.

Tags

CCSS.8.EE.C.8B