Algebra II Unit 5

vector

A ____ is a quantity that has both length and direction.

complex

An ____ number is a number of the form a + bi where a and b are real numbers and i2 = -1.

imaginary

An ____ number is a number of the form bi where b is a real number, and i2 = -1

graph

Any point that is on a ____ is a solution.

solutions

Any value or values for a variable or variables that make an equation or inequality true is called a ____.

imaginary

Complex numbers are represented on a Cartesian coordinate system with a horizontal real axis and a vertical ____ axis.

dashed

If an inequality contains the less than symbol or greater than symbol, its graph would be a ____ line.

solid

If an inequality contains the symbols, _< or _> it would be graphed as a ____ line.

down

If the coefficient in front of the x2 in a quadratic equation is negative, the parabola will curve ___.

halfway

If the parabola intersects the x-axis at two points, the axis of symmetry will be ____ between the two points of the intersection.

quadratic

The ____ formula us used to find the solutions to a quadratic equation of the form ax2 + bx + c = 0

quadratic

The ____ formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant, b2 - 4ac, is positive or zero.

conjugate

The ____ of a complex number a + bi is the complex number a - bi.

division

The conjugate is used in ____ of complex numbers.

no points

The graphs of a line and parabola could intersect at one point, two points, or ____.

formula

The quadratic ____ calculates the roots of a quadratic equation and indicates the nature of its graph.

any

The quadratic formula can be used to find the roots of ____ quadratic equation.

roots

The solutions to a quadratic equation are called the ____ or x-intercepts.

either

To find the value of y using the value of x, use ____ equation of the system.

all

When finding the solution to a system of equations, it is important to find ____ solutions.

real

When we combine complex numbers, we combine the ____ parts, then combine the imaginary parts.

factoring

____ is not a technique that should be used every time to solve quadratic equations.