Chapter 0

Question 1

Set

Answer 1

A collection of objects or numbers often shown with braes { } and usually named by a capital letter.

Question 2

element

Answer 2

each object or number in a set or each entry in a matrix.

Question 3

subset

Answer 3

when every element of Set B is contained in set A, then B is a subset of A. Symbol is C

Question 4

universal set

Answer 4

The set of all possible elements for a situation. Symbol is U.

Question 5

complement

Answer 5

If B is a subset of A then all of the possible elements of the set A that are not included in set B. Symbol is B’ .

Question 6

union

Answer 6

All the elements of both set A and B, written as A U B.

Question 7

intersection

Answer 7

All elements found in both sets A and B, written as A n B.

Question 8

empty set

Answer 8

a set with no elements symbolized by { } or Ø.

Question 9

∈

Answer 9

a symbol that means it is an element of.

Question 10

∉

Answer 10

symbol that means is not an element of.

Question 11

imaginary unit

Answer 11

i, or the principal square root of -1

Question 12

complex numbers

Answer 12

any number that can be written in the form a+bi, where A and B are real numbers and i is the imaginary unit.

Question 13

standard form

Answer 13

a complex number written in the form a+bi, A is the real part.

Question 14

real part

Answer 14

in an imaginary number a+bi, A is the real part

Question 15

imaginary part

Answer 15

in an imaginary number a+bi, B is the imaginary part

Question 16

imaginary number

Answer 16

another name for a complex number of the form a+bi, where B cannot equal 0.

Question 17

pure imaginary number

Answer 17

An imaginary number (a+bi) where A = 0 ( which means no real parts exist )

Question 18

complex conjugates

Answer 18

Two complex numbers of the form a+bi and a-bi.

Question 19

parabola

Answer 19

A “U” shaped graph.

Question 20

axis of symmetry

Answer 20

A line about which a figure is symmetric (mirror image about a line). Found by x= -b/ 2a

Question 21

vertex

Answer 21

A point at which a parabola intersect it axis of symmetry. X coordinate is found by -b/2a

Question 22

quadratic equation

Answer 22

A polynomial equation of degree two, in the form of ax2+ bx2+ c= 0, where a does not equal 0

Question 23

zero product property

Answer 23

For any real numbers A and B, if AB=0, then either a=0 or b=0 or both A and B = 0

Question 24

completing the square

Answer 24

A process used to make a quadratic expression into a perfect square trionomial.

Question 25

## Footnote quadratic equations

Question 26

## Footnote principle Nth Root

Answer 26

The nonnegative root.

Question 27

## Footnote nth root

Answer 27

## Footnote for any real numbers A and B, and any positive integer n, if a^n= b, then A is the nth root of B

Question 28

## Footnote product property of radicals

Question 29

## Footnote quotient property of radicals

Question 30

## Footnote rational to radical form B 1/n

Answer 30

## Footnote square root of B'

Question 31

## Footnote systems of equations

Answer 31

A set of equations with the same variables.

Question 32

## Footnote rational to radical format B m/n

Answer 32

## Footnote square root of B^m

Question 33

## Footnote substitution method

Answer 33

A method of solving a system of equations in which one equation is solved for one variable in terms of the other

Question 34

## Footnote elimination method

Answer 34

A method of solving a system of quit ions in which adding and subtracting the equations is used to eliminate one variable.

Question 35

## Footnote consistent

Answer 35

## Footnote a system of equations that has at least one solution

Question 36

## Footnote independent

Answer 36

When a system of linear equations has exactly one solution ( lines cross once)

Question 37

## Footnote dependent

Answer 37

When a system of equations has an infinite number of solutions ( lines are parallel and are the same)

Question 38

## Footnote inconsistent

Answer 38

A system of equations that has no solutions (lines are parallel and do not touch)

Question 39

## Footnote system of inequalities

Answer 39

Set of inequalities with the same variables

Question 40

## Footnote matrix

Answer 40

Any rectangular array of variables or constants in horizontal rows and vertical columns

Question 41

## Footnote element

Answer 41

## Footnote each entry in a matrix

Question 42

## Footnote dimensions

Answer 42

## Footnote a description of the number of rows and columns of a matrix

Question 43

## Footnote row matrix

Answer 43

## Footnote a matrix that has one row

Question 44

## Footnote column matrix

Answer 44

A matrix that has only one column

Question 45

## Footnote square matrix

Answer 45

## Footnote has the same amount of columns and rows

Question 46

## Footnote zero matrix

Answer 46

## Footnote a matrix in which every element is zero

Question 47

## Footnote equal matrix

Answer 47

## Footnote two matrices that have the same dimensions and each element of one matrix is equal to the corresponding element of the other matrix.